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Conclusion:

For every triangle, the square of the longest side (hypotenuse) equals the sum of the squares of the other two sides. This proves the Pythagorean theoreom

where is the hypotenuse, and and are the two sides forming the right ang

les

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Operation Race

Goal: Reach exactly 100 first.

Rules:

Start at 0.

Players alternate turns.

On your turn, apply one operation (+, –, ×, ÷) with a whole number 1–10 to the current number.

The result must be a whole number between 0 and 100. If not, skip your turn.

First to reach 100 wins.

If no one reaches 100 in 20 turns, closest number wins.

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List of prime numbers less than 200:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109,

113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199

Total prime numbers: 46

Even prime numbers: 1 (Only 2)

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1% 1 2*π * !??π5 1 2?÷56 517 !?564# 4##π

I=1

F=%

W=2

A=*

S=π

G=!

O=?

E=4

U=÷

L=5

D=6

Y=7

N=#

G=@

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The circle represents even numbers, the rectangle represents multiples of 3 and the triangle represents multiples of 5

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 a table to show that every even number from 4 to 100 equals a prime plus a prime.

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All the prime numbers less than two hundred are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197 and199

Only one one prime number is even and that prime number is 2

There are 45 prime numbers that end with 1, 3, 5, 7 and 9 (odd numbers)

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NumbersFactorsPrime Factors FormPrime/Composite11–Neither Prime nor composite21, 22Prime31, 33Prime41, 2, 42 x 2Composite51, 55Prime61, 2, 3, 62 x 3Composite71, 77Prime81, 2, 4, 82 x 2 x 2Composite91, 3, 93 x 3Composite101, 2, 5, 102 x 5Composite111, 1111Prime121, 2, 3, 4, 6, 122 x 2 x 3Composite131, 1313Prime141, 2, 7, 142 x 7Composite151, 3, 5, 153 x 5Composite161, 2, 4, 8, 162 x 2 x 2 x 2Composite171, 1717Prime181, 2, 3, 6, 9, 182 x 3 x 3Composite191, 1919Prime201, 2, 4, 5, 10, 202 x 2 x 5Composite211, 3, 7, 213 x 7Composite221, 2, 11, 222 x 11Composite231, 2323Prime241, 2, 3, 4, 6, 8, 12, 242 x 2 x 2 x 3Composite251, 5, 255 x 5Composite261, 2, 13, 262 x 13Composite271, 3, 9, 273 x 3 x 3Composite281, 2, 4, 7, 14, 282 x 2 x 7Composite291, 2929Prime301, 2, 3, 5, 6, 10, 15, 302 x 3 x 5Composite311, 3131Prime321, 2, 4, 8, 16, 322 x 2 x 2 x 2 x 2Composite331, 3, 11, 333 x 11Composite341, 2, 17, 342 x 17Composite351, 5, 7, 355 x 7Composite361, 2, 3, 4, 6, 9, 12, 18, 362 x 2 x 3 x 3Composite371, 3737Prime381, 2, 19, 382 x 19Composite391, 3, 13, 393 x 13Composite401, 2, 4, 5, 8, 10, 20, 402 x 2 x 2 x 5Composite411, 4141Prime421, 2, 3, 6, 7, 14, 21, 422 x 3 x 7Composite431, 4343Prime441, 2, 4, 11, 22, 442 x 2 x 11Composite451, 3, 5, 9, 15, 453 x 3 x 5Composite461, 2, 23, 462 x 23Composite471, 4747Prime481, 2, 3, 4, 6, 8, 12, 16, 24, 482 x 2 x 2 x 2 x 3Composite491, 7, 497 x 7Composite501, 2, 5, 10, 25, 502 x 5 x 5Composite511, 3, 17, 513 x 17Composite521, 2, 4, 13, 26, 522 x 2 x 13Composite531, 5353Prime541, 2, 3, 6, 9, 18, 27, 542 x 3 x 3 x 3Composite551, 5, 11, 555 x 11Composite561, 2, 4, 7, 8, 14, 28, 562 x 2 x 2 x 7Composite571, 3, 19, 573 x 19Composite581, 2, 29, 582 x 29Composite591, 5959Prime601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 602 x 2 x 3 x 5Composite611, 6161Prime621, 2, 31, 622 x 31Composite631, 3, 7, 9, 21, 633 x 3 x 7Composite641, 2, 4, 8, 16, 32, 642 x 2 x 2 x 2 x 2 x 2Composite651, 5, 13, 655 x 13Composite661, 2, 3, 6, 11, 22, 33, 662 x 3 x 11Composite671, 6767Prime681, 2, 4, 17, 34, 682 x 2 x 17Composite691, 3, 23, 693 x 23Composite701, 2, 5, 7, 10, 14, 35, 702 x 5 x 7Composite711, 7171Prime721, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 722 x 2 x 2 x 3 x 3Composite731, 7373Prime741, 2, 37, 742 x 37Composite751, 3, 5, 15, 25, 753 x 5 x 5Composite761, 2, 4, 19, 38, 762 x 2 x 19Composite771, 7, 11, 777 x 11Composite781, 2, 3, 6, 13, 26, 39, 782 x 3 x 13Composite791, 7979Prime801, 2, 4, 5, 8, 10, 16, 20, 40, 802 x 2 x 2 x 2 x 5Composite811, 3, 9, 27, 813 x 3 x 3 x 3Composite821, 2, 41, 822 x 41Composite831, 8383Prime841, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 842 x 2 x 3 x 7Composite851, 5, 17, 855 x 17Composite861, 2, 43, 862 x 43Composite871, 3, 29, 873 x 29Composite881, 2, 4, 8, 11, 22, 44, 882 x 2 x 2 x 11Composite891, 8989Prime901, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 902 x 3 x 3 x 5Composite911, 7, 13, 917 x 13Composite921, 2, 4, 23, 46, 922 x 2 x 23Composite931, 3, 31, 933 x 31Composite941, 2, 47, 942 x 47Composite951, 5, 19, 955 x 19Composite961, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 962 x 2 x 2 x 2 x 2 x 3Composite971, 9797Prime981, 2, 7, 14, 49, 982 x 7 x 7Composite991, 3, 9, 11, 33, 993 x 3 x 11Composite1001, 2, 4, 5, 10, 20, 25, 50, 1002 x 2 x 5 x 5Composite

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Project9

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project 6

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A=1

B=2

C=3

And so on and so forth...

f i were a gose I would lay golden eggs.

so my mathemical code is..

96 9 235185 1 7151595 23152124 12125 715124514 57719

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For numbers greater than one,the square root is smaller and for numbers less than one,the square root is greater(project 6 awarded 2 stars)

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Circle A:

Diameter (D): 7.00cm
Circumference (C): 21.99cm (to 2dp)
Quotient (c/d): 3.14 (to 2dp)

Circle B:
Diameter (D): 3.50cm
Circumference (C): 11.00cm (to 2dp)
Quotient (c/d): 3.14 (to 2dp)

Circle C:
Diameter (D): 8.70cm
Circumference (C): 27.33cm (to 2dp)
Quotient (c/d): 3.14 (to 2dp)

Circle D:
Diameter (D): 13.3cm
Circumference (C): 41.78cm (to 2dp)
Quotient (c/d): 3.14 (to 2dp)

Conclusion:
The quotient c/d always equals to 3.14, as when dividing the circumference by the diameter the resulting value will always be equal to pi which when rounded off to 2dp is 3.14.

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project 4

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An round object

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I have learnt square root and the image above explains it. I put the square root of 4, 9 and 25 as well as a decimal and the square roots for each were 2, 3 and 5 as well as 0.4 for the decimal. I have not been graded yet.

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A file is a rectangle to store papers

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A file is a rectangle to store papers

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This is a bar graph of the temperature I recorded on 5 may 2025

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The average temperature of the day was around 36.6°c

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this is a circle and rectangle. these shapes are usually seen in our everyday lives such as clocks, books, devices, doors and more

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Cube : Dice and Rubix Cube

Prism : Tolberone Chocolate and house roofs

Pyramid : Camping tents and pyramid like collectables

Cylinder : glue stick and can drinks

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Circle : multiples of 4

Triangle : multiples of 3

Rectangle : multiples of 2

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(Choose any multiple below 5)

How to play:

Choose any multiple below 5 and make a equation out of it with all +, -, x and ÷ symbols (e.g. 8+4-9÷x2)

Choose a player to answer your equation and if they get it wrong, they are out of the game for one round.

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number 63

1,3,7,9,21,63

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my code is goose is not goose

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Pie chart of how I spent 1 saturday project 4

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Pie chart of how I spent 1 saturday project 4

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My secret mathematical code is:

A is 1

B is 2

C is 3

D is 4

E is 5

F is 6

G is 7

H is 8

I is 9

J is 10

K is 11

L is 12

M is 13

N is 14

O is 15

P is 16

Q is 17

R is 18

S is 19

T is 20

U is 21

V is 22

W is 23

X is 24

Y is 25

Z is 26

The message I have been tasked to type in my mathematical language is " If I were a goose I would lay golden eggs".

Meaning my sentence would be like this:

96 9 235185 1 71515195 9 231521124 12125 715124514 5771

I have 2 stars

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Make a number

9x5=54

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Strides

My stride is 15.2cm, I will take 1074 strides to walk 1km

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My stride is 32 cm

1km=1000m

1000m➗ 32cm=12.59e

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Project 3:This game is called “Can you make it?”In this game you will be given numbers and use them to get the number that the game wants you to get.You also need to use one of the 4 operations to get the number.

E.g.Can you make the number 54 using the numbers 5,4,6,8,8 and 2?

9x6=54

…………………

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My stride is 14cm so I will take 7143 strides to walk around a square that is 1km in perimeter(project 2 awarded 1 star)

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Project 1(1 star)

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My pie chart consists of activities I do on my average Saturday. I do my homework 0.1% of the day, I play 1% of the day, I watch television 8.33% of the day, I eat my meals for 27.08% of the day and I sleep/nap 63.49% of the day. I have 1 star.

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The circle and rectangle

What I am using :

I am using a species of rhinoceros beetle which is native in Singapore,it is under the genus Chalcosoma which means (bronze body) in Latin . It’s scientific name is Chalcosoma Caucasus Kirby but was later known as Chalcosoma Chiron Kirby

Why I think there is these shapes : I think there are these shapes as th thorax represents a circle and the abdomen represents a rectangle .There is also an additional triangle as it celiphic horn . So basically, it is made out of shapes!

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I created a game.

The rules:

1) If your the one chosen to pick a card, pick a card (The cards have numbers on them).

2) As the other players (consisting of 4 other players and 1 chosen one), do not see the chosen one's card

3) The chosen one must construct a problem sum consisting of only addition for the players to solve (The answer must be the number on your card)

4) The players try to solve the problem sum and the player who guesses it first is the winner.

5) Have fun.

I have 1 star.

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The square root of numbers bigger than 1 is smaller than the original number.

Some examples are:

√9=3

√16=4

√25=5

I realised that the square root of the number is the product of two same numbers

E.g. 3×3=9 therefore 3 is the square root of 9

The square root of numbers smaller than 1 is bigger than the original number

Some examples are:

(Rounded up to three decimal place)

√0.5≈0.707

√0.25=0.5

√0.1≈0.316

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The length of my stride was about 2.5 centimetres and it would roughly take me 400 strides to walk around a square with perimeter of 1 kilometer. I unfortunately have 0 stars as I have not been graded. Please wait patiently for my stars.

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These 2 shapes, the rectangle and circle are commonly used shapes in our daily lives. Like how a cent is a circle and a dollar bill is a rectangle. I got 1 star.

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14

1x14=14

7x2=14

4 factors

39

1x39=39

3x13=39

4 factors

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time of day. Temperature

Morning. 25 deg C

Afternoon. 37 deg C

Night. 23 deg C

Average: 28.3 deg C

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Number Square root

3. 1.732

4. 2

5. 2.236

6. 2.449

7. 2.645

the square root is always smaller than the original number when the number is bigger than one but is bigger than the original numbers for numbers below 1.

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My typical schedule on holidays.

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Free Pie Graph Maker - Create Pie Chart Online  Draxlr.jpeg

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Take the sum of all the numbers in your birthday and divide them by the number of digits, then multiply by the sum of your best friend’s birthday.

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Take the sum of all the numbers in your birthday and divide them by the number of digits, then multiply by the sum of your best friend’s birthday.

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E.g : 13/08/13 (my birthday)

13+8+13=34

34/6=5.667

5.667 x (22+6+13)=232.347

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My stride is 20cm and I would take about 5000 steps to cover 1km.

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This is a circular cup coaster. It is circular as most cups are circular in shape, making this a useful gadget.

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Divide the dice by 2.5

Times it by 7

Minus it by 10

Plus 5

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Factors of 45: 1,3,5,9,15,45

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Project 3: game: roll a dice 2 times and multiply each other. Whoever gets the most amount of question correct, wins.

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Project 3: game: roll a dice 2 times and multiply each other. Whoever gets the most amount of question correct, wins.

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This is my Sunday

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This is my sunday

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This is a circle and a square

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Project 1 : 1 star. This is circle

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This is a picture with squares and circles of the sitting arrangement of the PSLE English oral examination.

squares= tables

circles=chair

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The length of my stride is 50cm, I will take 2000 strides to walk a square with a perimeter of 1 km.