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Multiplying Fractions Using Visual Models

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The tasks in this collection encourage upper primary children to look deeper at multiplication and division.

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A great set of maths puzzles for upper primary children. All answers are given. Many teachers use these as a weekly challenge. They are ideal for printing out in colour and laminating, making a long lasting resource.

These puzzles can also be found in MathSphere: It's All Figured Out!

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A great set of maths puzzles for upper primary children. All answers are given. Many teachers use these as a weekly challenge. They are ideal for printing out in colour and laminating, making a long lasting resource. These puzzles can also be found in MathSphere: It's All Figured Out!

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Choose a learning objective for the week...

Complete the daily task and check the answers...

Support & develop learning providing daily intervention in preparation for the following day's task...

Build pupil understanding, application and confidence using the week's 5 daily mini-maths tasks.

⬤ Choose a learning objective for the week...

⬤⬤ Complete the daily task and check the answers...

⬤⬤⬤ Support & develop learning providing daily intervention in preparation for the following day's task...

⬤⬤⬤⬤ Build pupil understanding, application and confidence using the week's 5 daily mini-maths tasks.

Collect 1 Mission Credit for each correct Fluency answer or solution...

Collect 3 Mission Credits for each correct iQ answer or solution...

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Year 6 maths questions with 1000s of free resources at MyMiniMaths

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Improve Year 6 understanding, application and confidence in maths with the free daily tasks. 1000s of quality Year 6 maths questions available.

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There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There are many puzzles on this page, all with a mathematical connection, that are just waiting to be solved. You can earn Transum Trophies for the puzzles you solve.

The following puzzles are from the Transum monthly newsletters and podcasts.

The following puzzles are the Transum Advanced Starters.

Same Three Digits

Find ex pressions which contain indices and evaluate to numbers containing the same digits.

Advanced Starter

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An ever-growing collection of interactive mathematical and logic puzzles designed for anyone interested in school-level Maths.

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Daily 10 - Mental Maths Challenge - Topmarks

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Daily 10 is a primary maths resource for teachers of Years 1 to 6. It asks ten random questions on addition, subtraction, multiplication, division, fractions, ordering, partitioning, digit values and more. Ideal for use on a IWB and as a starter or plenary activity.

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I wanted to imrove these Year 6 Maths Challenges because I wanted these resources to be used much more often by other schools. They certainly do improve a student's love of maths and solving maths problems.

These teaching resources will be enjoyed by the students because they are both challenging and colourful. I created these resources and I tested them with the class. The questions are sometimes tricky enough to even make the teachers have to think hard. I added answers after the questions.

Free Year 6 Maths Challenges

Please read this Mathematical challenges Introduction first.

PDF: Year 6 A Counting, partitioning and calculating

PPT: Year 6 A Counting, partitioning and calculating

PPTX: Year 6 A Counting, partitioning and calculating

PDF: Year 6 B Securing number facts, understanding shape

PPT: Year 6 B Securing number facts, understanding shape

PPTX: Year 6 B Securing number facts, understanding shape

PDF: Year 6 C Handling data and measures

PPT: Year 6 C Handling data and measures

PPTX: Year 6 C Handling data and measures

PDF: Year 6 D Calculating, measuring and understanding shape

PPT: Year 6 D Calculating, measuring and understanding shape

PPTX: Year 6 D Calculating, measuring and understanding shape

PDF: Year 6 E Securing number facts, relationships and calculating

PPT: Year 6 E Securing number facts, relationships and calculating

PPTX: Year 6 E Securing number facts, relationships and calculating

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FREE Year 6 Maths Challenges - KS2 Fun Teaching Resources - FirstMaths.com

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I wanted to imrove these Year 6 Maths Challenges because I wanted these resources to be used much more often by other schools. They certainly do improve a student's love of maths and solving maths problems. These teaching resources will be enjoyed by the students because they are both challenging and colourful.

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objectives per yeargroup with practice activities

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cube1979

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You are viewing this site in an unsupported browser, See our browser support for more information.

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Mr BARTON Maths - teacher and student resources plus puzzles

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Mr BARTON Maths - teacher and student resources plus puzzles

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arrow_back Back to Students

Year 6 Maths SATs Past Papers and Solutions

On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam.

Even if you are not a primary school teacher/student, these are incredibly useful for those in secondary education. They give a great insight into the level of work students have covered at primary school, and are a great source for extra questions

Contents

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Year 6 SATs Maths Past Papers and Solutions on mrbartonmaths

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arrow_back Back to Students Year 6 Maths SATs Past Papers and Solutions On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam.

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Maths and Logic Puzzles

I absolutely adore a good maths puzzle or a logic puzzle. This page is a collection of some of my favourites that I have complied over the years. Some you will know, but hopefully some you will not. Many come from the outstanding Numberplay Blog from the New York Times.

The puzzles are not arranged by topic (as that might give away some of the secrets to solving them) or by age or difficulty, because that depends very much on the puzzle solver themselves.

Please do not email me for any of the answers, as am afraid I do not have time to reply. Anyway, that would spoil the fun. But I guess for relatively large sums of money, I may be tempted to divulge some information. And if you have a favorite puzzle that you think would fit well into this collection, please let me know via Twitter

Contents

There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?

You're creating a new coin system for your country. You must use only four coin values and you must be able to create the values 1 through 10 using one coin at a minimum and two coins maximum. What 4 coins do you choose, and can you think of a second set of 4 coins that achieves the same goal?

In certain parts of rural Russia, a would-be bride would gather six long pieces of straw or grass and grasp them in her hand. She then would randomly tie pairs of knots on the top and the bottom. Since there are six blades of grass sticking out above and below the hand, she will tie three knots on the top and three knots on the bottom. The story goes, that if she formed one big ring, she would get married soon. What is the probability that she will get married?

Consider a list of all the ways you could take four distinct digits from 1 to 9 and arrange them to make the sum of two 2-digit numbers. Some numbers might appear several times: 134, for example, is 93 + 41, and also 91 + 43.

What are the mean, median and mode of all the numbers on this list? (Mean is the sum of all the numbers divided by the number of numbers, median is the middle value in a sorted list of the numbers, and the mode is the number that appears most often.)

Every day you make a trip from A to B, 2 miles away. But your trip is unpredictable.

On 50% of the days, you can walk between A and B without any obstruction.

The other 50% of the time, a troll appears at the halfway point, blocking your trip. The troll also activates an invisible barrier that blocks 1 mile perpendicularly in both directions, forcing you to walk around it to complete your trip.

You cannot see the troll or the barrier until you are halfway from A to B, so you cannot plan in advance whether you need to walk around the barrier. You do know the troll appears randomly 50% of the time.

If you can walk in straight lines to any points between A and B, what is your best strategy so you walk the least distance on average? What is that distance?

Ali Baba found a cave full of gold and diamonds. A bag full of gold weighs 200 kilograms, a bag full of diamonds weighs 40 kilograms. Ali Baba can carry only 100 kilograms at a time. A kilogram of gold costs $20, and a kilogram of diamonds costs $60. What is the greatest amount of money Ali Baba can earn for the gold and diamonds he can carry out at once (in one attempt in one bag)?

The game starts with 6 empty glasses in a row numbered 1 to 6. You roll a standard die. If the number for the glass is empty, then the glass is filled up. If the number for the glass is full, then you drink that glass so it becomes empty.

There is a special rule when 5 glasses are full. If you roll the number for the lone empty glass, then the final glass gets filled and you have to drink all 6 glasses. At this point the game ends.

From the start of the game, what is the average number of rolls until the game ends?

A rajah, in his will, left his daughters a certain number of pearls with the instructions to divide them as follows: The oldest daughter was to receive 1 pearl plus 1/7 of what was left. The next eldest daughter was to receive 2 pearls plus 1/7 of those left. The next eldest daughter was to receive 3 pearls plus 1/7 of what was left, and so on in the same manner. The youngest daughter received what was left after all the other divisions.

At first, the youngest daughter thought the distribution was unfair, but after careful calculations she concluded that all daughters would receive the same number of pearls.

How many pearls and how many daughters were there in all?

Suppose we play the following game. I toss a coin repeatedly until it comes up heads. If heads appears on the first throw, I pay you $2. If it appears on the second throw, I give you $4; if on the third, I pay $8 and so on, doubling each time.

How much would you be willing to pay me to play this game?

Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.

May 15 May 16 May 19
June 17 June 18
July 14. July 16
August 14. August 15. August 17

Cheryl then tells Bernard and Albert separately the month and the day of her birthday respectively.

Albert: I don't know when Cheryl's birthday is, but I know that Bernard does not know too.
Bernard: At first I don't know when Cheryl's birthday is, but I know now.
Albert: Then I also know when Cheryl's birthday is.

When is Cheryl's birthday?

2 mathematicians meet on the street and one says to the other, "I bet you can't guess the ages of my 3 children" (all integer ages).

The 2nd mathematician says, "I'll take your bet but only if you give me enough information to solve it."

The 1st agrees, and says, "The product of my 3 children's age is 36."
"That is not enough information."
"Right you are!" he looks around, spies an address on a building and says, "The sum of my children's age is the same as the address over there."
Thinking a little bit; "That still isn't enough information."
"Right you are again! My eldest son has red hair."
After some thinking the 2nd mathematician won the bet.

Imagine there is a steel band around the equator of the Earth, nice and snug (~25,000 mi). If you then add one foot of steel to this band, how much is the band raised off the ground? High enough to slip a hair under it? Your hand? High enough to walk under it?

There is a school with 1,000 students and 1,000 lockers. On the first day of term the headteacher asks the first student to go along and open every single locker, he asks the second to go to every second locker and close it, the third to go to every third locker and close it if it is open or open it if it is closed, the fourth to go to the fourth locker and so on. The process is completed with the thousandth student. How many lockers are open at the end?

You die and the devil says he'll let you go to heaven if you beat him in a game. He sits you down at a round table. He divides a large pile of quarters in two so you both have the same amount of quarters in your own pile. He says, "O.K., we'll take turns putting quarters down, no overlapping allowed, and the quarters must rest on the table surface. The first guy who can't put a quarter down loses. You cannot shift or try to squeeze any quarter into a space that moves another quarter." The devil says he wants to go first.

You realize if the devil goes first, he probably has a strategy to win. You haven't had time to think this through yet, so you ask for some time to consider your options. He grants you 15 minutes. At that end of that time you know how to beat him ... but you also know you must go first for your strategy to win. You convince him to let you go first, saying you really didn't have enough time to consider a strategy so you should at least go first. What is your winning strategy?

A peasant woman came to a market to sell some eggs. A first buyer took half her eggs plus 1/2 an egg. The same happened with the remaining eggs: a second buyer buyer took half her eggs plus 1/2 an egg. A third only bought what was left over: 1 egg.

How many eggs were there initially?

You can only use two maths symbols (including factorials and square roots) to make 6

0 0 0 = 6

1 1 1 = 6

2 2 2 = 6

3 3 3 = 6

4 4 4 = 6

5 5 5 = 6

6 6 6 = 6

7 7 7 = 6

8 8 8 = 6

9 9 9 = 6

Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's Heads. What's the probability it is actually Heads?

The warden meets with 23 new prisoners when they arrive. He tells them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another.

"In the prison is a switch room, which contains two light switches labeled 1 and 2, each of which can be in either up or the down position. I am not telling you their present positions. The switches are not connected to anything.

"After today, from time to time whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell.

"No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same guy three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead.

"Given enough time, everyone will eventually visit the switch room the same number of times as everyone else. At any time, anyone may declare to me, 'We have all visited the switch room.'
"If it is true, then you will all be set free. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you"

What is the strategy they come up with so that they can be free?

Warm-up: You are given a box of matches and a piece of rope. The rope burns at the rate of one rope per hour, but it may not burn uniformly. For example, if you light the rope at one end, it will take exactly 60 minutes before the entire rope has burnt up, but it may be that the first 1/10 of the rope takes 50 minutes to burn and that the remaining 9/10 of the rope takes only 10 minutes to burn. How can you measure a period of exactly 30 minutes? You can choose the starting time. More precisely, given the matches and the rope, you are to say the words "start" and "done" exactly 30 minutes apart.

The actual problem: Given a box of matches and two such ropes, not necessarily identical, measure a period of 15 minutes.

On Bagshot Island, there is an airport. The airport is the homebase of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?

Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)

A wholesale merchant came to me one day and posed this problem. Every day in his business he has to weigh amounts from one pound to one hundred and twenty-one pounds, to the nearest pound. To do this, what is the minimum number of weights he needs and how heavy should each weight be?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.
Will you accept that bet?

Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

Mr John has 25 horses, and he wants to pick the fastest 3 horses out of those 25. He has only 5 tracks, which means only 5 horses can run at a time. He doesn't even have a stop watch . What is the minimum number of races required to find the 3 fastest horses?

There are are twenty coins sitting on the table, ten are currently heads and tens are currently tails. You are sitting at the table with a blindfold and gloves on. You are able to feel where the coins are, but are unable to see or feel if they heads or tails. You must create two sets of coins. Each set must have the same number of heads and tails as the other group. You can only move or flip the coins, you are unable to determine their current state.

How do you create two even groups of coins with the same number of heads and tails in each group?

People are waiting in line to board a 100-seat airplane. Steve is the first person in the line. He gets on the plane but suddenly can't remember what his seat number is, so he picks a seat at random. After that, each person who gets on the plane sits in their assigned seat if it's available, otherwise they will choose an open seat at random to sit in.

The flight is full and you are last in line. What is the probability that you get to sit in your assigned seat?

In a country where everyone wants a boy, each family continues having babies till they have a boy. After some time, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same)

There is an island with 10 inhabitants. One day a monster comes and says that he intends to eat every one of them but will give them a chance to survive in the following way:
In the morning, the monster will line up all the people - single file so that the last person sees the remaining 9, the next person sees the remaining 8, and so on until the first person that obviously sees no one in front of himself. The monster will then place black or white hats on their heads randomly (they can be all white, all black or any combination thereof).
The monster will offer each person starting with the last one (who sees everyone else's hats) to guess the color of his/her own hat. The answer can only be one word: "white" or "black". The monster will eat all ten hostages as soon as a second captive answers incorrectly. All the remaining people will hear the guess but not the outcome of the guess. The monster will then go on to the next to last person (who only sees 8 people), and so on until the end.
The monster gives them the whole night to think.

The Task:
Devise a strategy that guarentees all captive's survival.

Assumptions:
1) All the 10 people can easily understand your strategy, and will execute it with perfect precision.
2) If the monster suspects that any of the people are giving away information to any of the remaining team members by intonation of words when answering, or any other signs, or by touch, he will eat everyone.
3) The only allowed response is a short, unemotional "white" or "black".

Suppose that there is a building with 100 floors. You are given 2 identical eggs. The most interesting property of the eggs is that every egg has it's own "threshold" floor. Let's call that floor N. What this means is that the egg will not break when dropped from any floor below floor N, but the egg will definitely break from any floor above floor N, including floor N itself.

For example, if the property of the eggs is that N equals 15, those eggs will always break on any floor higher than or equal to the 15th floor, but those eggs will never break on any floor below floor 15. The same holds true for the other egg since they are identical.

These are very strong eggs, because they can be dropped multiple times without breaking as long as they are dropped from floors below their "threshold" floor, floor N. But once an egg is dropped from a floor above it's threshold floor

Here is the puzzle: What strategy should be taken in order to minimize the number of egg drops used to find floor N (the threshold floor) for the egg? Also, what is the minimum number of drops for the worst case using this strategy?

Remember that you are given 2 identical eggs which both have the same exact threshold floor.

Five ship's pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain).

The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side.

If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain.

What is the maximum number of coins the captain can keep without risking his life?

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Maths and Logic Puzzles on Mr Barton Maths

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Maths and Logic Puzzles I absolutely adore a good maths puzzle or a logic puzzle. This page is a collection of some of my favourites that I have complied over the years. Some you will know, but hopefully some you will not. Many come from the outstanding Numberplay Blog from the New York Times.

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Excellent primary 5 a day resources - quick tests for daily maths

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Excellent primary 5 a day resources - quick tests for daily maths

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Primary 5-a-day by Corbettmaths - ideal for daily mathematical practice

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Maths Bot - starter generator (answers can be shown)

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Maths Bot - starter generator (answers can be shown)

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Maths Zone Cool Learning Games - Maths Games and Learning Activties for Fun

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Practice addition, multiplication, fractions and algebraic reasoning with our popular math games. Discover fun learning games kids love to play.

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NRich - low threshold high ceiling tasks

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NRich - low threshold high ceiling tasks

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Low Threshold High Ceiling

A low threshold high ceiling task is one which is designed to be mathematically accessible, and to have built-in extension opportunities. In other words, everyone can get started and everyone can get stuck. In this updated feature, we bring together our favourite low threshold high ceiling tasks, as well as two articles which will support you in creating a low threshold high ceiling classroom.

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The low threshold high ceiling activities in this feature are ideal for supporting and challenging whole classes.

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These activities are all based around developing problem-solving skills at KS1 and KS2.

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65 Workouts to get to the Top of the Class

KS2 means stepping the game up in mathematics.

You've already said a cheery hello to addition, number lines and multiplication. Now it's time to get stuck in with fractions, shapes, perimeters and other mathematically-spectacular topics. KS2 students can refine their skills to achieve the much-desired Mathematical Whizz Kid status.

We think anyone who makes it through all our KS2 quizzes on maths deserves a little 'hip hip hooray' (we would pull party poppers too if we could!).

We won't lie to you - it's not all ice cream and sprinkles down there in the quiz section. Some of this stuff gets tricky. Really tricky. Sometimes you'll be scratching your head like the ponderer you are, trying to digest all the new information and wondering if you'll ever be able to figure out percentages or ratios. And then it will happen. You'll shout 'Eureka!', you'll jump from your chair so high you'll almost hit the roof and everything in your brain will slot nicely into place. That's the magic in maths and we've designed our quizzes to try to make that happen as often as possible.

We'll provide helpful explanations after each incorrect answer to let you know where you went wrong and (most importantly) teach you how to get the right answer next time.

Maths in the classroom is a little pernickety. (Do you like that word, pernickety? We love it. What a great word.) In a single lesson, maths can go from simple to mind-bogglingly complicated. That's where we step in. If you come out of maths classes a little bit confused, or not entirely sure if you were doing it right, we'll be here to act as a revision tool to go over what you've covered. We include the key nuggets from the National Curriculum, so we know what to teach you!

We're training the next generation of Mathematical Whizz Kids.

We know you're smart cookies.

Let's see who's the smartest cookie in the box.

To find out more about this curriculum, our Key Stage 2 (KS2) article will keep you informed.

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In previous years you've said a cheery hello to addition, number lines and multiplication. Now that you are in Year 3, 4, 5 or 6 you'll need to learn about fractions, shapes, perimeters and other mathematically-important topics. Use these KS2 Maths quizzes to refine your skills as a Maths whiz kid!

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Once you have decided how many sessions per week you wish to run Numeracy Ninjas, download and print the relevant Skill Book for your students. There are 40 weeks worth of Skill Books, split into 1…

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A great set of maths puzzles for upper primary children. All answers are given. Many teachers use these as a weekly challenge. They are ideal for printing out in colour and laminating, making a long lasting resource.

These puzzles can also be found in MathSphere: It's All Figured Out!

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A great set of maths puzzles for upper primary children. All answers are given. Many teachers use these as a weekly challenge. They are ideal for printing out in colour and laminating, making a long lasting resource. These puzzles can also be found in MathSphere: It's All Figured Out!

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Download our free morning starter resources for teachers aligned to the National curriculum. All the questions we use are tested and used by real teachers.

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Welcome to the Math Salamanders Year 6 Mental Maths Tests.

Here you will find a wide range of Mental Maths Worksheets aimed at Year 6 children which will help your child to learn number facts and practise their number skills.

Mental Maths Worksheets

Our selection of mental maths worksheets is a great way of practising your number and maths skills.

The sheets can be used in a variety of ways, as a test or revision practise, or as part of a weekly quiz to help reinforce skills.

They can also be used as an oral and mental starter to a lesson to get brains working!

One of the best ways to use these sheets is to get children to work in pairs, discussing the questions as they work through them.

The questions have been designed to practise a range of maths skills from number to geometry and measurement facts, including using time and money.

The quizzes are in order of difficulty with the questions getting slightly harder in each quiz.

Mental Maths Tests Year 6

Our Year 6 Mental Math Worksheets contain a wide range of different questions and math skills.

Each sheet contains 18 questions, and is provided with an answer sheet.

The level of difficulty gets harder as you progress through the sheets.

The topics covered include:

mental arithmetic - addition, subtraction, multiplication and division;

missing fact questions;

place value questions up to 10000;

geometry questions based around 2d and 3d shape properties;

money questions;

fraction, decimal and percentage questions;

measures problems;

word problems;

ratio and proportion questions;

time questions, including date and calendar questions.

Year 6 Mental Math Worksheets

Looking for some easier Mental Maths Worksheets?

The worksheets in this section have been designed for children at a Year 5 level.

The sheets follow the same format as the ones on this page, but are at a simpler level.

Mental Math Online Practise

If you are looking for some online practise of mental maths Year 4 facts, then we have several practise zones where you can test your knowledge of a range of maths facts and print out your results online.

There are certificates to win, and instant feedback on your progress.

Fifth Grade (Year 6) Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

All the free 5th Grade Math Worksheets in this section follow the Elementary Math Benchmarks for Grade 5.

Year 6 Online Math Games

Looking for some cool online maths games to play at a Year 6 level?

Try the Primary games website where you will find a bank full of different games to play!

Using the link below will open the primary games website in a new browser window.

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Welcome to the Math Salamanders Year 6 Mental Maths Tests. Here you will find a wide range of Mental Maths Worksheets aimed at Year 6 children which will help your child to learn number facts and practise their number skills. Our selection of mental maths worksheets is a great way of practising your number and maths skills.

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How many different combinations of two scoop ice cream cone can you make?

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In February 2014, I asked my subscribers for their favorite math puzzle. This collection is the result-a list of puzzles chosen by teachers and parents! Most only require the four basic operations or not even that, so they work well for elementary school children and on up. I have divide the puzzles into ones that are geometric in nature and ones that are math & logic puzzles. The challenging puzzles are on their own page. I also list several good puzzle websites and books at the bottom of this page.

Jump to:

Puzzles with shapes & sticks
Math puzzles
Puzzle websites

Puzzles with shapes and sticks

1. Stardoku

This is for you kindergarten folks-a coloring Sudoku game! The stars in the same row and column must have different colors.

Stardoku game

2. Turn the fish

Move three sticks and make the fish to swim in the opposite direction. You can see the solution and play aninteractive version of this puzzle at Puzzles.com (and many others too!).

3. Pigs need their pens

Farmer Black raises pigs and was raising them in modular pens, He currently has 6 pigs in the following arrangement:
+---+  +---+  +---+  +---+  +---+  +---+
|   |  |   |  |   |  |   |  |   |  |   |
+---+  +---+  +---+  +---+  +---+  +---+

He needed some walls for another project so he rearranged the pins like this:

+---+---+---+---+---+---+
|   |   |   |   |   |   |
+---+---+---+---+---+---+

He then found out he need 7 more wall pieces to finish his project. How did he rearrange the pens so that there was only 1 pig per pen?

See the solution.

4. Coin triangle

5. Dots in a square
This is one of my favorites! It is a simple puzzle, but illustrates beautifully the idea of "thinking outside the box."

Join all the dots using four straight lines and without lifting your pencil.

Click here for the answer, but think about it first!

6. Pentagon & star

How many triangles are there?

See a hint and the solution at Cool Math 4 Kids site.

7. Tower of Hanoi

Tower of Hanoi is an old favorite puzzle where you move disks from one tower to another. If you've never played, try thisonline version. You can either play it yourself, or let the computer solve it.

8. Trees in rows

A gardener planted 10 trees in five rows. Each row had four trees in it. How did he do this?

Click here for the answer, but don't peek too early-give it a good honest try first!

9. A matchstick puzzle

Move 3 matches to show 2 squares.

See the solution here

Math puzzles

1. Kenken
In Kenken, you need to place the counting numbers in the squares just like in Sudoku, but additionally, you are given boxes with clues with math operations. The numbers you place in each box have to make the "clue" number using the given operation.

So, Kenken is an excellent game to practice the four operations and logical thinking. Lower elementary children can use addition/subtraction and others can use multiplication/division or all four operations.

Play Kenken online here. You can choose the size of the game, operations, and the difficulty level.

2. Numbers in a triangle

Put the numbers from 1 to 9 in the circles so that the sum of the numbers on each side of a triangle is the same.

At CoolMath4Kids you can view a hint and the solution.

3. Kakuro
Kakuro puzzles are "cross-sum" puzzles-like mathematical crossword puzzles. Each "word" must add up to the number provided in the clue above it or to the left.

Download 5x5 Kakuro puzzles at KrazyDad. Other sizes exist also.

4. Same number - or twice as many

Here is a puzzle that seems simple, but is a good critical thinking challenge for lower elementary school kids. You can easily reword it for example to have two flocks of birds in two trees.

Farmer Brown and Farmer Green were ruminating one day on the fence between their farms. Farmer Brown says, "You know I was just thinking. If you gave me one of your cows, then we would have the same number of cows." Farmer Green replies, "If you gave me one of your cows, then I would have twice as many as you!"

How many cows does Farmer Brown have and how many cows does Farmer Green have?

Click here for the answer

5. More than two animals

This puzzle is fromGrace Church School's collection of Abacus problems 2013-2014 for grades 3-8. The site does not supply the answers, but students are encouraged to submit their answers and they will receive a reply.

6. Brick's weight

This is well-known problem that sounds so simple, yet it fools many people!

7. Average Miles per Hour

A car is going up a hill. The hill is one mile long. The driver goes up the hill at an average speed of 30 miles per hour. When the driver reaches the top of the hill, he starts down the other side. The downhill side is also one mile long. How fast must the driver go down the hill in order to average 60 miles per hour?

Solution

It is impossible to average 60 miles per hour. An average speed of 60 miles per hour requires two minutes to cover two miles. The first mile was covered at 30 miles per hour. This means that two minutes were used to travel that mile. Hence there are no minutes left to cover the second mile.

Source: Math Games and Number Tricks (Formerly published as Math Puzzles and Oddities) by Robert Yawin

Hide answer

8. Legs in the bus

1. There are 7 girls on a bus.
2. Each girl has 7 backpacks.
3. In each backpack, there are 7 big cats.
4. For every big cat there are 7 little cats.

How many legs are on the bus, not counting the driver?

Solution

There are a total of 10,990 legs.

1. There are 7 × 7 × 7 = 343 large cats. They have 343 × 4 = 1372 legs.

2. There are 7 × 7 × 7 × 7 = 2401 little cats. They have 2401 × 4 = 9604 legs.

3. There are 7 girls. They have 14 legs.

In total we get 1372 + 9604 + 14 = 10,990 legs.
Hide answer

9. How can these be equal?

Here's a short but puzzling puzzle that someone sent for the contest:

10. Coconut trader

11. Milkman's Containers

A milkman has an 8-liter container full of milk, and also two empty containers that measure 5 liters and 3 liters. He needs to deliver 4 liters of milk to a customer.

The milkman has no other spare containers and no way to mark any containers. He does not want to pour milk away. How will he measure the 4 liters of milk?

Solution

1. Fill the 5-liter container.

2. Pour out from the 5-liter container to the 3-liter one until it's full. The 5-liter container now has 2 liters left.

3. Pour all the milk from the 3-liter container back to the 8-liter container.

4. Pour the 2 liters from the 5-liter container to the 3-liter container. It has therefore just one liter of space left!

5. Fill the 5-liter container.

6. Pour out from the 5-liter container enough milk to fill the 3-liter container (which already has 2 liters). You will have 4 liters left in the 5-liter container.

Hide answer

12. Farmer and his ducks

13. Number puzzles with many operations Enter each of the numbers from 1 to 9 in the squares, each one only once. The order of operations doesn't apply! These puzzles are available in four different levels of difficulty.

Number puzzles

14. Jigsaw puzzle for fractions, decimals, and percents

You candownload a printable jigsaw puzzle to practice equivalent fractions, decimals, and percents, published here by permission from the creator Becky Colvin. You need to cut it out first.

15. Folding tissue paper

We fold a piece of paper, 1/10 mm thick, in a way as if we were to try and fit it in a little pocket: in half, in half again, in half once more, and so on.

Let's assume that in our minds (because in reality it's impossible - try it yourself!) we have folded our piece of paper 50 times. How thick will such a folded paper be? If you don't want to calculate, at least make an educated guess!

Solution.

It is 1/10 × 2 ⁵⁰ mm thick.
Converted to kilometers, we get that the thickness is (1/10) × 2 ⁵⁰ × (1/1000000) km = 112,589,991 km thick.

Those who do not know this problem usually assume that the stack will not be thicker than up to a couple of meters. However, the thickness of a piece of paper folded in half 50 times will be surprisingly big, more than 112 million kilometers! (The distance from the Earth to the Sun is about 150,000,000 km).

But... it is not physically possible to do this. The length of paper you would need for this folding would be many light years long...!!! It is given by the equation

L = π/6 · t · (2 n + 4)(2 n − 1)

where t is the thickness of the material and n the number of folds. ( Formula by Britney Gallivan)

Hide answer

Even more puzzle websites & books

The list above already has many links to websites with puzzles, but here are some more.

Challenging puzzles sent to my puzzle contest.

The Moscow Puzzles: 359 Mathematical Recreations
Our whole family enjoys this book! It is divided into 14 chapters, each with different kinds of puzzles, such as matchstick puzzles, dominoes and dice, divisibility, cross sums and magic squares, "Measure Seven Times Before You Cut" (dissection puzzles), "With Algebra and without It" (tricky word problems), and so on. The puzzles and brainteasers range from simple fun riddles to difficult problems, yet none requiring advanced math. They are almost always illustrated and often presented as amusing stories. The book was originally published in Russia in 1956. Martin Gardner has edited the book to make it as easy as possible for an English-reading public to understand, while carefully retaining nearly all the warmth and humor of the original. Price: About $5 used, about $9 new.

Bedtime Math
Fun and lively daily math problems centered around real-life topics and offered in three levels: Wee Ones, Little Kids, and Big Kids. You can also get Bedtime Math problems in a free app.

Sally's Hexagon Number Puzzles
These are "number pyramids" where you get each number by adding the numbers just below it. Puzzles increase in difficulty so that grade 4 puzzles use negative numbers and grade 5 puzzles use decimals.
1st Grade - 2nd Grade - 3rd Grade
4th Grade - 5th Grade

Brainteaser puzzles from ThinkFun
Twelve printable (PDF) puzzles for the whole family. Most are visual kind of puzzles where you rearrange pennies and sticks into another shape.

MathMania
A children's magazine that is packed full of puzzles, mazes and teasers specially created to appeal to kids ages 7 and up.

Matchstick Puzzles
A large collection of puzzles where you need to rearrange matches.

Chess Snake Puzzles
You draw a snake (or a path) on a 5x5 grid from the lower left square to the upper right square. The grid has some chess pieces, and each piece attacks the same number of segments of the snake.

MathSphere Maths Puzzles
About two dozen printable puzzles (PDF) for upper elementary children.

Math Riddles
Fun riddles based on math concepts.

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In February 2014, I asked my subscribers for their favorite math puzzle. This collection is the result-a list of puzzles chosen by teachers and parents! Most only require the four basic operations or not even that, so they work well for elementary school children and on up.

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Math Riddles Only the Smartest Can Get Right | Reader's Digest

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You might want to break out a calculator because it takes a genius to solve these tricky math riddles.

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Supposedly, Einstein created this riddle in the 20th century and said that 98% of the world’s population could not solve it. Can you find the solution to “Einstein’s Riddle”?

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There are 500 coffins and 500 men who need them. The undertaker asks the first man to go to every coffin and open them. Then he tells the second man to go to every one and close it. The third one goes to every third coffin and so on. How many are open?

How do you go from 98 to 720 using just one letter?

I am a number with a couple of friends, quarter a dozen, and you'll find me again.
What am I?

Add me to myself and multiply by 4.
Divide me by 8 and you will have me once more.
What number am I?

In 1990, a person is 15 years old. In 1995, that same person is 10 years old. How can this be?

There is a three digit number.
The second digit is four times as big as the third digit, while the first digit is three less than the second digit.
What is the number?

How many 9's are there between 1 and 100?

In two years I know, I'll be twice as old as five years ago, said Tom. How old is Tom?

Mom and dad have four daughters, and each daughter has one brother.
How many people are in the family?

Four years ago, Alex was twice as old as Jake. Four years from now, Jake will be 3/4 of Alex's age. How old is Alex?

If it is two hours later, then it will take half as much time till it's midnight as it would be if it were an hour later. What time is it?

Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age?

If two hours ago, it was as long after one o'clock in the afternoon as it was before one o'clock in the morning, what time would it be now?

I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?

An apple is 40 cents, a banana is 60 cents and a grapefruit is 80 cents. How much is a pear?

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

In a bicycle race, the man who came two places in front of the last man finished one ahead of the man who came fifth. How many contestants were there?

My daughter has many sisters. She has as many sisters as she has brothers. Each of her brothers has twice as many sisters as brothers. How many sons and daughters do I have?

When my father was 31 I was 8.
Now he is twice as old as me.
How old am I?

One brick is one kilogram and half a brick heavy. What is the weight of one brick?

Place three matches on a table. Tell a friend to add two more matches to make eight.

There are 25 red balls, 47 green balls and 3 blue balls in a basket. There is a blind man. What is the minimum number of balls that the blind man has to pick to make sure that there are at least 2 balls of different colors?

Use the numbers 2, 3, 4 and 5 and the symbols + and = to make a true equation.

Mr. Smith has 4 daughters.
Each of his daughters has a brother.
How many children does Mr. Smith have?

You have 14 brown socks, 14 blue socks and 14 black socks in your sock drawer. How many socks must you remove (without looking to be sure) to have a matched pair?

How can you add eight 8's to get the number 1000?

Three times what number is no larger than two times that same number?

If you go to the movies and you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time?

The combined age of Jack and John is 49. Jack is twice as old, as John was when Jack was as old as John is now. How old are the brothers?

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?

Dean Sam and Castiel are three brothers. Interestingly their current age is prime. What's more interesting that difference between their ages is also prime. How old are they?

What do mathematics teachers like to eat?

Joe has ten coins totaling $1.19. From these coins, he cannot make exact change for a dollar, half-dollar, quarter, dime, or nickel.
What are the coins?

There are two fathers and two sons. They walk into a candy store and each buys a candy bar for 50 cents. The total for all of the candy bars was $1.50. How is that possible?

What number do you get when you multiply all of the numbers on a telephone's number pad?

How can you give someone $83 using exactly 7 bills, without using any one dollar bills?

If Mr. Flynn is 90 centimeters plus half his height, how tall is he?

Divide 20 by half and add 30, what do you get?

There are 12 kids in a classroom. 6 kids are wearing socks and 4 are wearing shoes. 3 kids are wearing both. How many are bare feet?

When I take five and add six, I get eleven, but when I take six and add seven, I get one. What am I?

A bat and a ball cost $1.10. The bat costs one dollar more than the ball. How much does the ball cost?

What 3 positive numbers give the same result when multiplied and added together?

When is 1500 plus 20 and 1600 minus 40 the same thing?

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Play interesting math riddles for kids and adults. Their answers and a printable PDF are both available for you.

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Count on us for math riddles for kids and adults! Add to your brain cells and multiply your fun with funny, easy and hard math riddles and answers. Get ready to give your undivided attention, because you'll need it to solve these fun math riddles. There are few things better for exercising your mind than riddles and math, and here we combine the two to give your brain a stellar workout. Test yourself, your friends, kids and family with these math brain teasers and you'll not only be working your mind, but you'll also have some fun! We have divided these into math riddles for kids (for those looking for more simple math riddles) and math riddles for adults (more challenging and difficult math riddles and more age appropriate).

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23 Math Riddles - Math Brain Teasers and Answers | Get Riddles

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Count on us for math riddles for kids and adults! Add to your brain cells and multiply your fun with funny, easy and hard math riddles and answers. Get ready to give your undivided attention, because you'll need it to solve these fun math riddles.

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In a street there are five houses, painted five different colors. In each house lives a person of different nationality. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet. Who owns the fish?

Necessary Clues
➤ The Brit lives in a red house.
➤ The Swede keeps dogs as pets.
➤ The Dane drinks tea.
➤ The Green house is next to, and on the left of the White house.
➤ The owner of the Green house drinks coffee.
➤ The person smoking Pall Mall rears birds.
➤ The owner of the Yellow house smokes Dunhill.
➤ The man living in the center house drinks milk.
➤ The Norwegian man lives in the first house.
➤ The man who smokes Blends lives next to the one who keeps cats.
➤ The man who keeps horses lives next to the man who smokes Dunhill.
➤ The man who smokes Blue Master drinks beer.
➤ The German smokes Prince.
➤ The Norwegian lives next to the blue house.
➤ The Blends smoker lives next door to the man who drinks water.

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Here are some wicked math riddles. Go ahead and see if you can solve all of them without peeking at the answers!

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maths numeracy starter mathematics math topics teacher

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Combinations Lesson Starters and Online Activities

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A list of Maths lesson starter activities and interactive exercises for students on the topic of Combinations.

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hundreds of resources - some quite advanced secondary

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See this post for the software and links to Tarsia resources.