Year 8 Maths Revision Questions PDF

Q1. (a) Simplify g6 × g4........................................................... (1) 10 3 (b) Simplify k ÷ k..............................................................

Q1. (a) Simplify g6 × g4........................................................... (1) 10 3 (b) Simplify k ÷ k........................................................... (1) 4 2 (c) Simplify (3cd )........................................................... (2) Q2. (a) Simplify 4m + 2m – m (1) (b) Simplify 5p × 7 (1) Q3. (a) Simplify 6e × 2f........................................................... (1) (b) Simplify 5m + 7k − 2m + k........................................................... (2) Q3. (a) Simplify w × w × w × w × w........................................................... (1) (b) Simplify 5a × 3c........................................................... (1) (c) Simplify 3e + 2f − e + 5f........................................................... (2) Q4. The diagram shows a trapezium. Work out the area of the trapezium............................................................ m2 (Total for question = 2 marks) Q5. The shape ABCD is made from a rectangle ANCD and the right-angled triangle NBC. ANB is a straight line. AN = 9 cm. NB = 5 cm. The area of rectangle ANCD is 36 cm2. Work out the area of shape ABCD............................................................ cm2 (Total for question = 4 marks) Q6. The diagram shows an 8-sided shape ABCDEFGH. HG = 28 cm FG = 12 cm AB = EF = 5 cm The height of the shape is 20 cm CD is parallel to HG The area of shape ABCDEFGH is 434 cm2 Find the length of CD............................................................ cm (Total for question = 4 marks) Q7. The diagram shows a trapezium. (a) Work out the area of the trapezium............................................................ cm2 (2) Q8. (a) Write down the cube root of 64........................................................... (1) (b) Calculate the value of 23 × 45........................................................... (2) (c) Express 800 as a product of powers of its prime factors. Show your working clearly............................................................ (3) Q9. (a) Simplify 8d × 7d........................................................... (1) (b) Expand 3(x - 4)........................................................... (1) (c) Factorise y3 – 4y........................................................... (2) Q10. (a) Simplify 8e + 2f − 11e + 3f........................................................... (2) (b) Expand 2y(3y − 7)........................................................... (2) (Total for question = 4 marks) Q11. (a) Simplify (i) a × 5 × b × c........................................................... (ii) q5 + q5 + q5........................................................... (iii) 7m + 6n − 2m − 9n........................................................... (4) (b) Factorise t2 − 10t........................................................... (2) (Total for question = 6 marks) Q12. (a) Simplify (i) b × 3 × e........................................................... (ii) p3 + p3 + p3 + p3........................................................... (iii) 6g − 4h + 2g − 3h........................................................... (4) (c) Factorise 5a − 3a2........................................................... (2) (d) Expand (i) 2(4 − 3w)........................................................... (ii) y2 (y + 10)...........................................................  (3) Q13. The area of the floor of a room is 12 m2 Change 12 m2 into cm2........................................................... cm2 (Total for question = 2 marks) Q14. (a) Change 6 metres into centimetres............................................................ centimetres (1) (b) Change 4500 grams into kilograms............................................................ kilograms (1) Lauren has 3 litres of fruit juice. She is going to use the fruit juice to make some drinks for a party. Each cup of drink will contain 225 millilitres of fruit juice. Lauren is going to make as many cups of drink as possible. (c) Work out how much fruit juice Lauren has left when she has made as many cups of drink as possible. Give your answer in millilitres............................................................ millilitres (4) (Total for question = 6 marks) Q15. (a) Find the highest common factor (HCF) of 3780 and 3240 Give your answer as a product of prime factors............................................................ (2) (b) Find the lowest common multiple (LCM) of 3780 and 3240 Give your answer as a product of prime factors............................................................ (2) (Total for question = 4 marks) Q16. (a) Write down all the factors of 9........................................................... (1) (b) Find the lowest common multiple (LCM) of 15 and 70........................................................... (2) (Total for question = 3 marks) Q17. Becky counted the number of matches in each of 50 boxes. The table shows information about her result Work out the mean number of matches........................................................ (Total for question = 3 marks) Q18. The table shows information about the numbers of fish caught by 40 people in one day. Work out the mean number of fish caught............................................................ (Total for question = 3 marks) Q19. The table shows information about the marks of 20 students in a science test. Work out the mean mark of the 20 students............................................................ (Total for question = 3 marks) Q20. The pie chart shows information about the types of vehicles that went past a school, in one hour, on Monday morning. (a) 16 buses went past the school. Work out the number of bicycles that went past the school............................................................ (2) (b) The table shows the numbers of vehicles that went past the school, in one hour, on Tuesday morning. Work out the size of the angle in the pie chart for the 9 lorries............................................................ ° (2)(Total for Question is 4 marks) Q21. The diagram shows a cuboid. The volume of the cuboid is 806 cm3 (b) Work out the value of x. x =........................................................... (3) (Total for question = 5 marks)