Number Operations (OCR GCSE Maths: Foundation): Exam Questions

Given that  $297\times 45=13365$

Write down the value of  $2.97\times 4.5$

There are 2 boys (Abel and Ben) and 3 girls (Annabeth, Barbara and Caitlin) in a group.

List the different ways that 1 boy and 1 girl can be chosen from the group.

Caoimhe decides to spend her pocket money on 

one toy costing £2.35
two packets of sweets costing 68p each
and four identical marbles

Caoimhe pays with a £5 note and receives 25p in change.

How much does each marble cost?

Insert one pair of brackets into this statement to make it correct.

7   ×   5   –   2   +   3   =   42

Maya is filling jars with sweets.

Each jar can hold $24$ sweets.

Maya has $175$ sweets.

Maya says that $7$ jars are enough to hold all of the sweets.

Is Maya correct? Show how you decide.

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  $\times$  5  =  28

Put one pair of brackets into the calculation to make it correct.

8  +  6  -  2  $\times$ 5  =  60

Work out.

$6.42-1.85$

Work out.

$0.7\times 0.6$

Work out $\left(1.8+\frac{2}{5}\right)÷0.4$.

Give your answer as a decimal.

Insert one pair of brackets to make this statement correct.

$4\times 6-2+1=17$

Lila buys 4 books at £6.50 each.

She also buys 2 magazines at £2.95 each.

Lila pays with a £40 note.

Work out how much change Lila gets.

Subtract 123 from 1 million.

Subtract 9 from 2.

A gym offers two types of membership.

• Standard membership: £35 per month, with no joining fee.

• Premium membership: £25 per month, plus a £80 joining fee paid only once.

Calculate the total cost of each type of membership over $6$ months.

Find the smallest number of complete months for which the total cost of Premium membership is less than the total cost of Standard membership.

i) Two numbers are added together to give the number in the box immediately above.

Complete the diagram.

[2]

ii) Two numbers are multiplied together to give the number in the box immediately above.

Complete the diagram.

[3]

Insert one pair of brackets to make this statement correct.

$3+2\times 12-4=19$

A lawn is in the shape of a parallelogram.

• One bag of fertiliser covers $40{\text{ m}}^2$.

• Each bag of fertiliser costs £7.50.

You can only buy whole bags of fertiliser.

Work out the total cost of the fertiliser needed to cover the lawn.

You must show your working.

Using the information that

  $3.9\times 76=296.4$

find the value of

i)  $3.9\times 760$

[1]

ii) $39\times 0.76$

[1]

iii)  $2964÷7.6$

[1]

A restaurant has a special offer for a three course menu.

There are 2 options for the starter, 3 possible choices for the main and 2 different desserts.

A person wants to order one starter, one main course and one dessert for their meal. Write down the number of different combinations that the person could choose from the menu.

Nathaniel created a game for his school fair.
The price of one play on the game is 50p or you can have three plays for £1.20.

Roger has £5.90 available to spend on the game. 

How many times can Roger play the game?

The prize for winning a play is 25p.

If Roger wins half of the games that he plays, how much money will he have left after playing?

Put one pair of brackets in each statement to make it correct.

$16÷8+4\times 2=1$

$16÷8+4\times 2=12$

Put one pair of brackets into each calculation to make it correct.

i) $24÷6+2\times 3=9$

[1]

ii) $24÷6+2\times 3=2$

[1]

Insert one pair of brackets in the following to make the statement correct.

$5+3\times 10-1=32$

Insert one pair of brackets in the following to make the statement correct.

$3\times 2-4-7=9$

Calculate $18÷\left(10-4\right)-11\times 4+9\left(6+1\right)$

Jamie has incorrectly tried to calculate: 
$3\times 2^3+\sqrt{25}\left(3^2\times 2+3\right)$

His working is shown below.

$$\begin{gathered} 3\times 2^3+\sqrt{25}\left(3^2\times 2+3\right) \\ 3\times 2^3+\sqrt{25}\left(40\right) \\ {6}^3+5\left(40\right) \\ 216+200 \\ 416 \end{gathered}$$

Identify the two mistakes that have been made, and find the correct final answer.