FOUNDATION LEVEL GCSE - SPECIMEN PAST QUESTIONS
1. Paul has five cards, on them are the numbers 4, 8, 2, 6 and 7.
a) Which of these is a square number?
b) Which two numbers are a multiple of 4?
2. a) What is the value of the 7 in the number 3764?
b) What is the value of the 7 in the number 37640?
3. Chocolate bars cost 35p each.
a) Jason buys 5 bars, how much does this cost?
b) How many bars could you buy with £4?
c) If the bars weigh 65 grams each how many bars are there in a box weighing 1.3kg?
4. A coach will hold 52 pupils.
a) How many coaches are needed to take 186 pupils on a trip?
To cover the cost of the coaches each pupil pays £2.70.
b) How much did the coaches cost in total?
If the coach took 4 hours to complete the journey of 152 miles, what was its average speed?
5. A television can be bought for £361.50 cash or it can be bought for a deposit of 
of the cash price plus eight payments of
£33.75.
a) What is the difference between the cash price and the other price?
b) Another television set usually cost £620 but is reduced in a sale by 15%. What is the sale price of the television set?
6. Simplify 8x + 7 - 2x + 4
7. Use the formula M = 4n - 
when n = 6 and t = 27.
7. The heights of 10 flowers were measured in centimetres - 17, 9, 14, 11, 18, 12, 7, 15, 16, 11.
a) What is the range of the heights of the flowers?
b) Calculate the mean height of the flowers.
9. a) What is the value of 7
?
b) What is the value of 2
?
10. Complete the table of values for the function y = x 
- 3
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| y |
11. The rule for continuing the sequence 1, 4, 13, 40 ...... is multiply the last number by 3 and add 1.
Find the next two numbers in the sequence.
12. Alan is 15cm taller than Stephanie. Their heights add up to 319cm. How tall is Stephanie?
13. Maria is 124 cm tall. Estimate Maria’s height in feet (to the nearest foot).
14. The three angles of a triangle are (2x - 3)° , (x +4)° and (x +19)° .
a) Write an expression, in terms of x, for the sum of the angles, write your answer in its simplest form.
b) Use the information that the sum of the angles is 180° to write down an equation in x.
c) Solve the equation for x and find the size of the smallest angle in the triangle.
15. A right angled triangle has a base of 6cm and a height of 13cm. What is its area?
16. Write the time 1410 in 12 hour clock time.
17. The height of Mount Ararat is 16805 feet. The height of Mont Blanc is 15771 feet.
a) How much is Mount Ararat higher that Mont Blanc.
b) Write the height of Mont Blanc to the nearest thousand feet.
c) Mount Ararat is 5 times as high as Mount Snowdon, what is the height of Mount Snowdon?
18. a) What is the next number in the pattern 28, 23, 18, 13.......
b) What is the missing number in the pattern 3, 6, 12, ...... 48, 96
19. A piece of carpet of length 6.21m is cut from a roll of length 7.50m. How much is
left?
Give your answer in centimetres.
20. In a school 
of the pupils are girls.
a) What percentage of the pupils are girls?
There are 660 pupils in the school.
b) How many of the pupils are girls?
21. Which fraction is bigger 
or 
?
22. Calculate the area of a semi-circle with radius 16cm.
23. A cake is made from fat, flour and sugar. The cake weighs 110g. The weight of the sugar is 42g.
a) What percentage of the cake is sugar?
b) The ratio of the weight of flour to the weight of sugar is 3:2. What is the weight of the flour?
24. The table shows information about a group of children.
| BOYS | GIRLS | |
| Wears glasses YES | 5 | 3 |
| NO | 14 | 10 |
a) A boy in the group is chosen at random. What is the probability that he wears glasses?
b) A child in the group is chosen at random. The probability that the child wears glasses is 0.25. What is the probability that the child does not wear glasses?