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Mixed Questions with Fractions - answers

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Mixed Questions with Fractions - answers

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L.O: To identify place value (3 decimal places)

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L.O: To identify place value (3 decimal places)

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Year 6 Spring Block 3 TS2 Place value integers and decimals

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Smallest: 10.099

Largest: 99.910

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1) B because there is one Hundred counter, three Tens counters, four Ones counters, three Tenths counters, two Hundredths counters and two Thousandths counters.

2) B because numbers with three decimals places can sometimes be larger than those with two decimal places and they can sometimes be smaller. Here are some examples:

Smaller

2.154 < 7.81

0.504 < 0.54

Larger

2.154 > 2.15

0.504 > 0.48

3) D because, whilst A shows regular partitioning, both B and C have values equivalent to 8.36 too.

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Year 6 Spring Block 3 TS3 Round decimals

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There are three dice, each of them with faces labelled from 1 to 6.
When the dice are rolled they can be combined in six different ways to make a number less than 10 with two decimal places.

For example, if I roll a 2, a 3 and a 6, I can combine them to make 2.36, 2.63, 3.26, 3.62, 6.23 or 6.32.

Now round each of these numbers to the nearest whole number:
2.36 rounds to 2, 2.63 rounds to 3, 3.26 rounds to 3, 3.62 rounds to 4, 6.23 rounds to 6 and 6.32 rounds to 6.

Repeat for other rolls of the dice.

Can each of the six numbers round to the same whole number?
Can each of the six numbers round to a different whole number?

What variations to this activity can you think of?

Interactive dice: https://nrich.maths.org/6717

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2

2.5

2.47

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1) B because we are rounding to the nearest tenth and, for this, we need to look at the hundredths column. We have 8 hundredths which means we need to round our tenths up.

2) B because we are rounding to the nearest tenth and, for this, we need to look at the hundredths column. We have 6 hundredths which means we need to round our tenths up.

3) A because we are rounding to the nearest integer and, for this, we need to look at the tenths column. We have 0 hundredths which means we need to round our integer down.

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Have you noticed that some very long numbers are very big whilst other very long numbers are small? Can you think of an example of each?

Here's a game where you can test your skill at putting small numbers into the right order - it's not as easy as it sounds!

How to play

You need a partner, a copy of the game board, and two different coloured pencils.

Decide who goes first.

Take turns to choose a number from the grid and mark it on the spiral. Make sure you know where 0 and where 1 is!

Keep taking turns until one of you has marked three numbers next to each other.

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Adding and Subtracting Fractions - answers

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Multiplying Fractions by Integers - answers

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Multiplying Fractions by Integers - answers

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Multiplying Fractions by Fractions - answers

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Multiplying Fractions by Fractions - answers

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Dividing Fractions by Integers - answers

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Dividing Fractions by Integers - answers

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Y6 Autumn Block 3 TS6 Add and subtract any two fractions

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Y6 Autumn Block 3 TS8 Subtract mixed numbers

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Y6 Autumn Block 4 TS1 Multiply fractions by integers

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Y6 Autumn Block 4 TS2 Multiply fractions by fractions

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Y6 Autumn Block 4 TS4 Divide any fraction by an integer

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Would you rather...

Be given 60% of 2 pizzas or 26% of 5 pizzas?

Have 10% of 5 dirhams or 75% of 80 fils?

Be bitten by 15% of 120 mosquitoes or 8% of 250 mosquitoes?

Skip using a rope which is 54% of 105cm long, or 88% of 2.75m long?

Sit in a traffic jam for 33% of 2 hours or 44% of 1hr 40mins?

Make sure you explain your reasons clearly.

REMEMBER - Percentages can be converted to fractions quite easily.....

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Use the lines on this figure to show how the pattern of triangles can be used to divide the square into two halves, three thirds, six sixths and nine ninths.

More lines are needed to divide it into four quarters.

What is the least amount of line needed to do this if the quarters are in one piece and all the same shape?

How many ways can you divide it into halves using just the lines given?

You might like to try out your ideas below.
Click on a dot to choose a colour, then click on a triangle.

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Use the lines on this figure to show how the pattern of triangles can be used to divide the square into two halves, three thirds, six sixths and nine ninths. More lines are needed to divide it into four quarters.