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Mental maths

100

47 - 18

Half 526

47 - 18= 29

Half 526 = 263

200

95 + 17 + 3 + 5=

Double 87=

Halfway between   14 and 66 =

95 + 17 + 3 + 5= 120

Double 87= 174

Halfway between   14 and 66 = 40

300

31 x 11= 

11 x 88=

31 x 11= 341

11 x 88= 968

400

70 x 60=

44 x 5=

0.05 x 100=

70 x 60= 4200

44 x 5= 220

0.05 x 100= 5

500

390  ÷ 5

117 ÷ 100

¼ of 60

Half 190

390  ÷ 5 = 78

117 ÷ 100 =1.17

¼ of 60 = 15

Half 190 = 95

Conceptual maths

100

What is the value of the digit 5 in the number 4,562

The 5 is in the hundreds place, so its value is 5x100 = 500

200

Why is it important to understand place value when multiplying large numbers? For example, what happens when you multiply 203 by 4?

Place value ensures that each digit is multiplied correctly

300

Look at the sequence: 2, 4, 8, 16... What do you notice? Can you predict the next two numbers and explain the pattern

The pattern is doubling each number. 32 and 64

400

How would you explain the difference between 0.3 and 0.30? Are they the same?

 0.3 and 0.30 are the same because the trailing zero does not change the value. Both represent the same amount, 3 tenths.

500

If you have a pizza divided into 8 equal slices and you eat 3 slices, what fraction of the pizza is left? Can you also express this as a decimal?

5/8 = 0.625

Word problem

100

If you multiply a number by 5 and then add 10, the result is 40. What was the original number?

6

200

If you add 23 to a number and then subtract 8, the result is 35. What is the number?

20

300

Look at this pattern: 5, 10, 20, 40... What rule is being followed? Can you predict the next two numbers?

80, 160

400

A triangle has a perimeter of 30 cm. One side is 10 cm, and the second side is 12 cm. How long is the third side?

The third side is 8 cm long.

500

You have a rectangle with an area of 56 cm². If one side is 7 cm, how long is the other side?

The other side is 8 cm long.

word problem

100

There are 4 different fruits: apples, bananas, oranges, and pears. How many different ways can you arrange 2 of these fruits

6 ways

Combinations: apples-bananas, apples-oranges, apples-pears, bananas-oranges, bananas-pears, oranges-pears

200

If a number is both a multiple of 3 and 4, what is the smallest possible number it could be?

12

300

If you have £8.50 and you buy a toy for £5.75, how much change will you get

You will get £2.75 in change.

400

A school is organizing a charity event and they want to collect 2,000 books for donation. In the first week, they collect 645 books. In the second week, they collect 732 books. In the third week, they collect 489 books.

• Step 1: How many books did they collect in total after three weeks?
• Step 2: How many more books do they need to meet their target of 2,000 books?

After three weeks, they collected 1,866 books and still need 134 more books to reach their target.

500

Sophie is organizing a school fair. She buys 240 cupcakes for £120. She plans to sell them in boxes, where each box contains 6 cupcakes.

Sophie can make 40 boxes, earn £160, and her profit will be £40.

3D Shapes

100

How many edges, vertices, and faces does a cube have?

A cube has 12 edges, 8 vertices, and 6 faces.

200

Can you name a 3D shape that has only one curved surface?

A sphere

300

I am a two-digit number.

• My tens digit is double my ones digit.
• The sum of my digits is 12.

What number am I?

84

400

I am a two-digit number.

• I am divisible by 9.
• My tens digit is 1 more than my ones digit.

What number am I?

54

500

I am a two-digit number.

• My digits add up to 11.
• If you reverse my digits, the new number is 9 less than me.

What number am I?

65