WJEC GCSE Maths
Topic questions Number The four operations
78 questions · 318 marks · about 7 hours
Write twenty thousand, three hundred and six in figures.
Subtract 435 from 826.
Write 8467·2 correct to the nearest hundred.
Estimate the value of 9·8 × 31·2.
Write numbers in the empty squares to make the calculation in each row and each column
What is four times three hundred and seventy-two?
Write your answer in figures.
Write 1·52 in words.
Insert one pair of brackets into the calculation below to make it correct. 4 x 7 + 3 – 1 = 39
Write the following numbers in ascending order.
3·2, – 4, 3·09, –1
Write down the first three multiples of 67.
A number has exactly six factors. Its factors are 1, 2, 5, 10, 25 and the number itself.
What is the number?
Ffion thinks of a number.
She multiplies this number by 8. Ffion then adds 34 to her answer to get 170.
What number did Ffion think of?
You must show all your working.
Calculate 72 × 23.
Calculate 0∙04 × 0∙9.
Calculate 11% of 8400.
Write down the next two numbers in the following sequence.
In the grid below:
• each column must add to 150 • each row must add to 150.
Complete the grid.
Abby is asked how many quarters there are in 8.
She writes 8 ÷ 4 = 2.
Explain why Abby’s method is incorrect.
Calculate 5620 × 100.
Write 42 861 correct to the nearest hundred.
In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Alex has four bags of beads. Three of these bags contain 65 beads each. The fourth bag contains 405 beads.
Alex pours all the beads from the four bags into an empty box.
Then, Alex shares all these beads equally between the four bags.
How many beads are there in each bag?
You must show all your working.
Evaluate each of the following.
0·8 × 0·25
13·4 − 2·96
Fill in the boxes below to make each calculation correct.
Space for working:
There is one square number between 180 and 200.
What is this square number?
A number has exactly four factors. All of the factors are less than 30. Three of the factors are 1, 2 and 26.
What is the other factor?
In this part of the question, you will be assessed on the quality of your accuracy in writing.
Which length is exactly halfway between 280 m and 410 m? You must show all your working. [2 + 1 W]
Also involves Fractions
Here are four digits.
7 3 6 5
Write the four digits in the following boxes to form two 2-digit numbers. You need to arrange the four digits so that the product is as small as possible.
You can use each digit only once.
Space for working:
Jemma is asked to work out the following calculation.
10 + 4 × 9
Jemma’s method is 14 x 9 = 126
Explain why Jemma’s method is wrong.
Sion is asked to answer the following question.
How many halves are there in 20?
Sion’s method is 20 ÷ 2 = 10
Explain why Sion’s method is wrong.
Rebecca is asked to find the range of the numbers below.
7 1 20 14 11
Rebecca’s method is 11 − 7 = 4
Explain why Rebecca’s method is wrong.
Stef knows what 
of Paulo’s number is. Using this information, explain how Stef can work out 
of Paulo’s number.
Evaluate each of the following.
92 × 103
0·8 × 0·25
13·4 − 2·96
Give your answer as a fraction in its simplest form.
Write the reciprocal of 4 as a decimal.
You must show all your approximations in your working.
Evaluate
Give your answer in its simplest form.
Write the reciprocal of 4 as a decimal.
You must show all your approximations in your working.
Evaluate
Give your answer in its simplest form.
Arwyn doubles the number fifty-three thousand.
Write Arwyn’s answer in figures.
Write 3572 correct to the nearest 100.
A number machine is shown below.
Calculate the OUTPUT when the INPUT is 1·5.
The Geometric Mean is a special type of average.
To find the Geometric Mean of two numbers, you must:
• multiply the two numbers together, and
• then find the square root.
Find the Geometric Mean of 250 and 0·4.
To find the Geometric Mean of three numbers, you must:
• multiply the three numbers together, and
• then find the cube root.
Find the Geometric Mean of 100, 0·3 and 0·9.
The Geometric Mean of three numbers is 10. Two of the numbers are 8 and 25.
Find the third number.
The Geometric Mean is a special type of average.
To find the Geometric Mean of three numbers, you must:
• multiply the three numbers together, and
• then find the cube root.
Find the Geometric Mean of 100, 0·3 and 0·9.
The Geometric Mean of three numbers is 10. Two of the numbers are 8 and 25.
Find the third number.
Write the number sixty thousand and forty-three in figures.
Write down the value of the 7 in the number 137 520.
Divide 504 by 8.
Subtract 394 from 800.
Multiply 93 by 7.
Billy thinks of a number. Billy halves his number. His answer is 58.
What number did Billy think of?
Siân thinks of a different number. Siân squares her number. Her answer is 9.
What number did Siân think of?
Calculate 40% of 120.
Alice is 9 years younger than Isaac. Nadia is one third of Isaac’s age. Dewi is twice Nadia’s age.
Alice is 27 years old.
What are the ages of Isaac, Nadia and Dewi?
Isaac is........ years old. Nadia is........ years old. Dewi is........ years old.
Write the number sixty-three thousand and twenty-nine in figures.
Write 2481 correct to the nearest 10.
Multiply 291 by 7.
Subtract 513 from 842.
A number is multiplied by 4 and then doubled. The answer is 56.
What is the number?
In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
A customer buys 7 identical small boxes and 3 identical large boxes from a shop. The total cost of these boxes is £59. Each small box costs £5.
How much does each large box cost? You must show all your working. [3 + 2 OCW]
Andrew and Grace each have some £10 notes and £5 notes. Andrew has 6 notes. The total value of Andrew’s notes is £55. Grace has 5 notes. The total value of Grace’s notes is £35.
How many £10 notes do they have in total?
How many £5 notes do they have in total?
One of the calculations below is incorrect.
Circle the incorrect calculation.
One of the numbers below is a multiple of 38.
Circle the multiple of 38.
2 19 338 388 3838
Computers cost £432 each.
How many can be bought with £9876?
Complete the calculation below, by finding the two missing digits.
Write 2376 correct to the nearest ten.
Add 643 and 8972.
Calculate one fifth of 335.
Subtract 516 from 894.
Using all of the following digits, write down the smallest possible 4-digit number. 7, 1, 5, 2
A sack contains 5·4 kg of potatoes. A second sack contains 3·08 kg of potatoes. A third sack contains 2·2 lb (pounds) of potatoes.
Calculate the total mass of these potatoes.
Give your answer in kilograms.
Calculate each of the following.
32 
23
124 
4
15% of 280
Calculate each of the following.
32 23
124 
4
15% of 280
Write 95 048 in words.
Find the sum of 872 and 59.
Multiply 250 by 5.
Write down all the factors of 18.
The factors of 18 are........
Circle the correct answer to complete each of the following statements.
0·02 × 0·8 is equal to
0·016 0·16 1·6 0·4 4
1·5% can be written as
Give your answer in its simplest form.
Calculate the value of 33 ÷ 22.
Give your answer as a decimal.
Complete each calculation below.
462 +…........ ………… = 5631
7364 –…........ ………… = 862
532 ×…........ ………… = 98 952
21 690 ÷…........ ………… = 482
In the grid below:
• each column must add to 250, • each row must add to 250.
Complete the grid.
| .......................... | 60 | 78 | .......................... |
| 26 | .......................... | 27 | 112 |
| 95 | 105 | .......................... | 8 |
| 58 | 0 | 103 | .......................... |
Space for working:
Circle the correct answer to complete each of the following statements.
0·02 × 0·8 is equal to
0·016 0·16 1·6 0·4 4
1·5% can be written as
Give your answer in its simplest form.
Calculate the value of 33 ÷ 22.
Give your answer as a decimal.
A number n is added to the square root of 81. The answer is equal to 7 squared.
What is the value of n?
Express your answer as a fraction.
Add 4571 and 862.
Subtract 643 from 817.
Calculate one quarter of 300.
Gwilym thinks of a number. When he divides his number by 7, he gets an answer of 6.
When he divides his number by 2, what should his answer be?
Write a number in the empty box to make the calculation correct.
Put +, –, × or ÷ in each space below to make the calculation correct.
18........ 6........ 2 = 1
Calculate each of the following.
33 × 102
0·4 × 0·2
You are given that 543 × 17 = 9231.
What is the value of 5·43 × 1·7?
Circle the correct answer.
0·9231 9·231 92·31 923·1 9231
Circle the correct answer.
0·17 1·7 17 170 1700
Circle the correct answer.
0·1 1 10 100 1000
Fill in the boxes below to make each calculation correct.
Space for working:
Calculate each of the following.
33 × 102
0·4 × 0·2
Write down the value of 0·0493, correct to 1 significant figure.
You are given that 543 × 17 = 9231.
What is the value of 5·43 × 1·7?
Circle the correct answer.
0·9231 9·231 92·31 923·1 9231
Circle the correct answer.
0·17 1·7 17 170 1700
Circle the correct answer.
0·1 1 10 100 1000
Write a number in each box so that each calculation is correct.
Write these numbers in order of size, beginning with the smallest.
6·49 6·94 6·4 6·9
Also involves Converting between units
In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing. A rod is 4 yards long and another rod is 1 
yards long. What is the total length of these rods in inches?
You must show all your working.
Complete each row of the following table.
The first row has been completed for you.
| Place | Temperature at 10 a.m. | Change | Temperature at 6 p.m. |
| Cwmbran | 2°C | Down 4°C | −2°C |
| Llanelli | −3°C | Down 1°C | |
| Llanidloes | −4°C | −1°C | |
| Porthmadog | Up 4°C | 3°C |
Add 3874 and 649.
Subtract 532 from 700.
Write down all the factors of 27.
The factors of 27 are........
In this question, you must use only the numbers 3 and 7 to make other numbers.
You must only add or subtract.
For example, if we wanted an answer of 11, we could write
7 + 7 – 3 = 11.
Show how you can get each of the following answers.
2
Write your solution in the box below.
8
Write your solution in the box below.
19
Write your solution in the box below.
Also involves Converting between units
Fill in the boxes below to make each calculation correct.
Space for working:
In this question, you must use only the numbers 3 and 7 to make other numbers.
You must only add or subtract.
For example, if we wanted an answer of 11, we could write
7 + 7 – 3 = 11.
Show how you can get each of the following answers.
2
Write your solution in the box below.
8
Write your solution in the box below.
19
Write your solution in the box below.
What number must be added to 186 to make 324?
Divide 568 by 8.
Add 986 and 75.
Calculate 48 – 7 × 5.
Work out 9 × 0·4
Work out 17·3 + 8·6
Fill in the boxes below to make each calculation correct.
Space for working:
Efa thinks of two whole numbers. She multiplies her numbers together. She then adds 12. The answer is 120.
What two numbers could Efa have been thinking about?
Efa’s two numbers could be…........ …… and…........ ……
Jac thinks of a number. 25% of his number is 35.
You must show all your working.
Write a number in each box to make the following calculations correct.
The number 283 is multiplied by 10.
What is the value of the 2 in the answer?
Value of the 2 is........
The number 6518 is divided by 100.
What is the value of the 6 in the answer?
Value of the 6 is........
Work out the mean of the following numbers.
7 13 10 4 6
Fill in the boxes below to make each calculation correct.
In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Books cost £2.80 each. What is the greatest number of books that can be bought with £35?
You must show all your working.
A number is multiplied by 5.
3 is added to the answer to get 17. What was the number?
You must show all your working.
Circle the best approximate value for the following calculation.
110 12 11 120 10
Circle the correct answer.
Calculate each of the following.
34 × 103
5.6 − 3.82
0.2 × 0.3
Write the number fifty thousand and four in figures.
Calculate £7.20 divided by 9.
Write your answer in pence.
Mair thought of two whole numbers. When she multiplied them together, the answer was 20. When she added them together, the answer was 9.
What are the two numbers that Mair thought of?
Numbers are........ and........
Write down the value of 92. 8. (a)
Work out 1.2 
70.
You must show all your working.
Given that 54 × 84.2 = 4546.8, write down the exact value of each of the following.
540 × 842 =........
You must show all your working.
Given that 54 × 84.2 = 4546.8, write down the exact value of each of the following.
540 × 842 =........
Calculate 39% of £576.
Give your answer correct to the nearest whole number.
How many quarters are there in 10?
Circle the fraction that is a recurring decimal.
The diagram below shows a number machine.
Using the number machine, calculate:
the INPUT when the OUTPUT is 36,
the OUTPUT when the INPUT is n.
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