1. Year 10 Exam Revision Groups of 4 Pupil A,B,C,D 1 point for each pupil

2. Write each of these as a product of prime factors A 36 B 42 C 70 D 24

3. Write each of these as a product of prime factors ANSWERS A 2x2x3x3 B 2x3x7 C 2x5x7 D 2x2x2x3

4. Find the Lowest Common Multiple (LCM) of these numbers A 6 and 7 B 8 and 12 C 9 and 12 D 12 and 15

5. Find the Lowest Common Multiple (LCM) of these numbers ANSWERS A 42 B 24 C 36 D 60

6. Without a calculator work out the answers to these calculations A 0.2 x 24 B 32 ÷ 0.4 C 36 x 0.3 D 24 ÷ 0.02

7. Without a calculator work out the answers to these calculations ANSWERS A 4.8 B 80 C 10.8 D 1200

8. Without a calculator work out an estimate for these calculations A 12.7 x 8.72 B 30.99 + 6.15 5.87 5.87 C 6.72 + 5.01 0.23 0.23 D 0.72(2.6 + 7.15)

9. Without a calculator work out an estimate for these calculations ANSWERS A 12.7 x 8.72 10 X 9 10 X 9 90 90 B 30.99 + 6.15 5.87 5.87 30 + 6 = 36 30 + 6 = 36 6 C 6.72 + 5.01 0.23 0.23 7 + 5 120 60 7 + 5 120 60 0.2 2 0.2 2 D 0.72(2.6 + 7.15) 0.7 (3 + 7) 0.7 (3 + 7) 0.7(10) 0.7(10) 7

10. For each question draw a set of x axes from 0 to 5 and y axes from -5 to 15 then plot the graph A y = 2x + 5 B y = 4x - 3 C y = 3x + 2 D y = 10 – 5x

11. For each question draw a set of x axes from 0 to 5 and y axes from -5 to 15 then plot the graph ANSWERS A y = 2x + 5 (1,7) (2,9) (3,11) B y = 4x – 3 (1,1) (2,5) (3,9) C y = 3x + 2 (1,5) (2,8) (3,11) D y = 10 – 5x (1,5) (2,0) (3,-5)

12. Add an extra column onto the table and calculate the mean GoalsFreq 310 47 53 A B C DGoalsFreq15 212 33 GoalsFreq015 13 212 GoalsFreq71 86 993

13. Calculating the mean from a table ANSWERS A 38 ÷ 20 = 1.9 goals B 73 ÷ 20 = 3.65 goals C 27 ÷ 30 = 0.9 goals D 892 ÷ 100 = 8.92 goals

14. Sharing in a given ratio A Adam is 4 and Gemma is 7. Share £132 in the ratio of their ages B Share the angles in a triangle in the ratio 3:4:2 C Share £540 in the ratio 7:2 D Share 24 in the ratio 3:5

15. Sharing in a given ratio ANSWERS A 132 ÷11 = 12 4 X 12 = £48 4 X 12 = £48 7 X 12 = £84 7 X 12 = £84 B 180 ÷ 9 = 20 3 X 20 = 60 3 X 20 = 60 4 X 20 = 80 4 X 20 = 80 2 X 20 = 40 2 X 20 = 40 C 540 ÷ 9 = 60 7 X 60 = 420 7 X 60 = 420 2 X 60 = 120 2 X 60 = 120 D Share 24 ÷ 8 = 3 3 X 3 = 9 3 X 3 = 9 5 X 3 = 15 5 X 3 = 15

16. Adding fractions A 2 + 1 7 5 7 5 B 1 + 4 4 9 4 9 C 5 + 2 8 11 8 11 D 4 + 5 7 6 7 6

17. Adding fractions ANSWERS A 2 + 1 = 10+7 = 17 7 5 35 35 7 5 35 35 B 1 + 4 = 9+16=25 4 9 36 36 4 9 36 36 C 5 + 2 =55+16=71 8 11 88 88 8 11 88 88 D 4 + 5=24+35=59 7 6 42 42 7 6 42 42 1 17 42 42

18. Write the following numbers in standard form A 3600000 B 0.0034 C 0.00000734 D 61800

19. Write the following numbers in standard form ANSWERS A 3600000 3.6 X 10 6 3.6 X 10 6 B 0.0034 3.4 X 10 -3 3.4 X 10 -3 C 0.00000734 7.34 X 10 -6 7.34 X 10 -6 D 61800 6.18 X 10 4 6.18 X 10 4

20. Write the following standard form numbers in ordinary form A 1.5 X 10 -3 B 2.41 X 10 8 C 1.44 X 10 5 D 3.7 X 10 6

21. Write the following standard form numbers in ordinary form ANSWERS A 1.5 X 10 -3 0.0015 0.0015 B 2.41 X 10 8 241000000 241000000 C 1.44 X 10 5 144000 144000 D 3.7 X 10 6 3700000 3700000

22. Use your calculator to work out the following. A Increase £350 by 17% B Decrease 68kg by 9% C Decrease 540m by 12% D Increase £488 by 4.6%

23. Use your calculator to work out the following. ANSWERS A Increase £350 by 17% 1.17 x 350 = £409.50 B Decrease 68kg by 9% 0.91 x 68=61.88kg C Decrease 540m by 12% 0.88 x 540=475.2m D Increase £488 by 4.6% 1.046 x 488=£510.45

24. Work out the amount of money left in the bank after these compound interest problems A £3000 invested at 6% for 4 years B £2000 invested at 3% for 6 years C £1200 invested at 8% for 3 years D £9000 invested at 12% for 5 years

25. Work out the amount of money in the bank after these compound interest problems. ANSWERS A £3000 invested at 6% for 4 years 3000x1.06 4 =£3787.43 B £2000 invested at 3% for 6 years 2000x1.03 6 =£2388.10 C £1200 invested at 8% for 3 years 1200x1.08 3 =£1511.65 D £9000 invested at 12% for 5 years 9000x1.12 5 =£15861.08