GCSE Foundation Maths quiz I

1.What is 3/8 as a decimal?

2.Round 47,364 to 3 significant figures.

3.Express 180 as a product of its prime factors.

4.Find the HCF of 36 and 48.

5.Calculate 2.4 × 0.03.

6.A phone costs £480. VAT at 20% is added. What is the total price?

7.Write 0.000 47 in standard form.

8.A jacket is reduced from £120 to £90. What is the percentage decrease?

9.What is 2³ × 2⁴?

10.A recipe needs 750 g of flour to make 24 biscuits. How much flour is needed for 40 biscuits?

11.Expand and simplify: 3(2x + 5) − 2(x − 4)

12.Solve: 4x − 7 = 2x + 9

13.What is the nth term of the sequence: 5, 9, 13, 17, …?

14.Factorise fully: 6x² − 9x

15.Solve the inequality: 3x + 1 > 10

16.A straight line has equation y = −2x + 6. What is the y-intercept?

17.Expand: (x + 4)(x − 3)

18.Solve simultaneously: x + y = 10 and x − y = 4

19.Make x the subject of: y = 3x − 5

20.Which graph shows a directly proportional relationship?

21.Share £200 in the ratio 3:2:5.

22.A map scale is 1:25,000. Two towns are 8 cm apart on the map. What is the real distance in km?

23.y is directly proportional to x. When x = 5, y = 20. Find y when x = 8.

24.A train travels 270 miles in 3 hours. What is its average speed?

25.£500 is invested at 3% simple interest per year. How much interest is earned after 4 years?

26.In a rectangle with dimension 9 cm by 5 cm has a square of side 2 cm cut from one corner. What is the remaining area?

27.A circle has a radius of 5 cm. What is its area? (Use π = 3.14)

28.A cuboid measures 5 cm × 3 cm × 4 cm. What is its volume?

29.What is the size of each interior angle of a regular hexagon?

30.Triangle ABC is similar to triangle DEF. AB = 4 cm, DE = 6 cm, BC = 5 cm. Find EF.

31.Reflect the point (3, −2) in the x-axis. What are the new coordinates?

32.A cylinder has radius 4 cm and height 10 cm. What is its volume? (Use π = 3.14)

33.Find the mean of the data: 6, 8, 4, 9, 8, 7, 4, 6

34.Find the median of: 3, 9, 7, 1, 5, 11, 8

35.A grouped frequency table shows heights of 30 plants. The modal class is 20–30 cm. What does this mean?

36.A pie chart shows favourite sports. Football takes up 135°. There are 120 students. How many chose football?

37.A scatter graph shows a strong positive correlation between hours of revision and exam marks. What does this mean?

38.A bag contains 4 red, 3 blue, and 5 green counters. A counter is chosen at random. What is P(not red)?

39.Two fair coins are flipped. What is the probability of getting exactly one head?

40.The equation of a line is 2y = 4x − 6. What is the gradient?