Factors and Multiples
Problem Solving
Money
Ratio
Square and Prime Numbers
100

What are the factors of 8? 

1 and 8

2 and 4

100

James chooses the colours for a new football shirt. The shirt has two colours. 

There are four colours to choose from: yellow, blue, white and red. 

Write the two missing combinations. 

The shirt could be: 

→ yellow and blue

→ yellow and white

→ yellow and red 

→ blue and white

→ ____________

→ ____________

blue and red

white and red

100

Eva and Amelia have saved their pocket money. 

Eva has saved £14.63

Amelia has saved £13.78

How much money have they saved altogether? 

£28.41

100

In Mr Avis' biscuit tin, there are two custard creams for every six chocolate bourbons. 

Write this as a ratio in its simplest form.

1:3

100

72

49

200

Which of these numbers are multiples of 8? 

18, 32, 56, 68, 72

32, 56, and 72

200

Mr Hinkley finished a sponsored run in 53 minutes and 25 seconds. 

Mr Avis finished 3 minutes and 40 seconds after Mr Hinkley. 

How long did Mr Avis take? 

57 minutes and 5 seconds!

200

Myla is buying a new phone. 

The price of the phone is £360, but the shop is offering 10% off. 

How much will Myla spend on her new phone? 

£324

200

This table shows the areas of the United Kingdom and Jamaica. 

                               Area (square kilometres)

United Kingdom                  240,000

Jamaica                               10,000


The area of the United Kingdom is larger than the area of Jamaica.

How many times larger is the United Kingdom?

24

200

132

169

300

Find the common factors of both 12 and 18. 

1, 2, 3, and 6

300

A farmer is packing eggs. Each box holds six eggs. 

The farmer has 980 eggs to pack. 

How many boxes will the farmer need to pack all of the eggs? 

164

300

Noah has £400. 

He spends 35% of his money on a new bike. 

How much does Noah spend on his new bike? 

£140

300

The Angel of the North is a large statue in England. It is 20 metres tall and 54 metres wide. 

Primrose makes a scale model of the Angel of the North. Her model is 40cm tall. 

How wide is her model? 

108cm

300

How many prime numbers are there between the numbers 10 and 20?

4! (11, 13, 17, and 19!)

400

Fill in the table: 


                        multiple of 5      NOT a multiple of 5

multiple of 3              30                         ?

NOT a multiple of 3     ?                           ?

There are lots of answers! 

Mr Avis will check! 

400

A book has 276 pages. 

Poppy has read 1/3 of the book. 

How many pages are left for Poppy to read? 

184

400

A shop prints designs on T-shirts. 

They use this formula to work out the price for printing a design: 

price = 60p × number of colours + £1.25 

What is the price for printing a design that has 3 colours in it?

£3.05

400

Peanuts cost 60p for 100g. 

What is the cost of 350 grams of peanuts? 

£2.10

400

James thinks of a number. 

His number is less than 100.

His number is higher than 10.

His number is a square number. 

His number is two less than a prime number.

What is James' number?

 

81

500

List all common multiples of 9 and 12 that are below 200. 

36, 72, 108, 144, 180

500

A box contains 2.6kg of washing powder.

Mr Avis uses 65 grams of powder for each wash. 

He uses all the powder. 

How many washes did Mr Avis do?

40

500

Genevieve looks at the price of fidget toys in two different shops. 

Shop A sells fidget toys for £4.10 each. 

Shop B sells a bumper pack of 15 fidget toys for £60. 

Genevieve wants to buy 15 fidget toys. Which shop would be cheaper AND what is the difference in price?

Shop B would be cheaper by £1.50

500

Poppy bakes a cake for a party using the following ingredients: 

120g butter, 120g sugar, 2 eggs, 120g flour, 80g jam. 

The cake serves 8 people. 

How much of each ingredient would she need to make a cake that serves 12 people? 

180g butter, 180g sugar, 3 eggs, 180g flour, 120g jam.

500

Eva thinks of two numbers between 1 and 10. 

She squares both of her numbers. 

She then adds these numbers together to make 100. 

What are the two numbers that she is thinking of? 

6 and 8

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