Year 10 Exam RevisionYear 10 Exam Revision

Groups of 4Groups of 4

Pupil A,B,C,DPupil A,B,C,D

1 point for each pupil1 point for each pupil

Write each of these as a product of Write each of these as a product of prime factorsprime factors

A 36A 36 B 42B 42

C 70C 70 D 24D 24

Write each of these as a product of Write each of these as a product of prime factors ANSWERSprime factors ANSWERS

A 2x2x3x3A 2x2x3x3 B 2x3x7B 2x3x7

C 2x5x7C 2x5x7 D 2x2x2x3D 2x2x2x3

Find the Lowest Common Multiple Find the Lowest Common Multiple (LCM) of these numbers(LCM) of these numbers

A 6 and 7A 6 and 7 B 8 and 12B 8 and 12

C 9 and 12C 9 and 12 D 12 and 15D 12 and 15

Find the Lowest Common Multiple Find the Lowest Common Multiple (LCM) of these numbers ANSWERS(LCM) of these numbers ANSWERS

A 42A 42 B 24B 24

C 36C 36 D 60D 60

Without a calculator work out the Without a calculator work out the answers to these calculationsanswers to these calculations

A 0.2 x 24A 0.2 x 24 B 32 B 32 ÷ 0.4÷ 0.4

C 36 x 0.3C 36 x 0.3 D 24 D 24 ÷ 0.02÷ 0.02

Without a calculator work out the answers Without a calculator work out the answers to these calculations ANSWERSto these calculations ANSWERS

A 4.8A 4.8 B 80B 80

C 10.8C 10.8 D 1200D 1200

Without a calculator work out an Without a calculator work out an estimate for these calculationsestimate for these calculations

A 12.7 x 8.72A 12.7 x 8.72 B B 30.99 + 6.1530.99 + 6.15

5.875.87

C C 6.72 + 5.016.72 + 5.01

0.230.23D 0.72(2.6 + D 0.72(2.6 +

7.15)7.15)

Without a calculator work out an estimate Without a calculator work out an estimate for these calculations ANSWERSfor these calculations ANSWERS

A 12.7 x 8.72A 12.7 x 8.72

10 X 910 X 9

9090

B B 30.99 + 6.1530.99 + 6.15

5.875.87

30 + 630 + 6 = 36 = 36

66

C C 6.72 + 5.016.72 + 5.01

0.230.23

7 + 57 + 5 120120 60 60

0.2 20.2 2

D 0.72(2.6 + 7.15)D 0.72(2.6 + 7.15)

0.7 (3 + 7)0.7 (3 + 7)

0.7(10)0.7(10)

77

For each question draw a set of x axes from 0 to For each question draw a set of x axes from 0 to 5 and y axes from -5 to 15 then plot the graph5 and y axes from -5 to 15 then plot the graph

A y = 2x + 5A y = 2x + 5 B y = 4x - 3B y = 4x - 3

C y = 3x + 2C y = 3x + 2 D y = 10 – 5xD y = 10 – 5x

For each question draw a set of x axes from For each question draw a set of x axes from 0 to 5 and y axes from -5 to 15 then plot 0 to 5 and y axes from -5 to 15 then plot the graph ANSWERSthe graph ANSWERS

A y = 2x + 5A y = 2x + 5

(1,7) (2,9) (3,11) (1,7) (2,9) (3,11) B y = 4x – 3B y = 4x – 3

(1,1) (2,5) (3,9)(1,1) (2,5) (3,9)

C y = 3x + 2C y = 3x + 2

(1,5) (2,8) (3,11)(1,5) (2,8) (3,11)D y = 10 – 5xD y = 10 – 5x

(1,5) (2,0) (3,-5)(1,5) (2,0) (3,-5)

Add an extra column onto the table and Add an extra column onto the table and calculate the meancalculate the mean

GoalsGoals FreqFreq

33 1010

44 77

55 33

A A BB

CC D D

GoalsGoals FreqFreq

11 55

22 1212

33 33

GoalsGoals FreqFreq

00 1515

11 33

22 1212

GoalsGoals FreqFreq

77 11

88 66

99 9393

Calculating the mean from a table Calculating the mean from a table ANSWERSANSWERS

A 38 A 38 ÷ 20 = 1.9 ÷ 20 = 1.9 goalsgoals

B 73 B 73 ÷ 20 = 3.65 ÷ 20 = 3.65 goalsgoals

C 27 C 27 ÷ 30 = 0.9 ÷ 30 = 0.9 goalsgoals

D 892 D 892 ÷ 100 = ÷ 100 = 8.92 goals8.92 goals

Sharing in a given ratioSharing in a given ratio

A Adam is 4 and A Adam is 4 and Gemma is 7. Share Gemma is 7. Share £132 in the ratio of £132 in the ratio of their agestheir ages

B Share the angles B Share the angles in a triangle in in a triangle in the ratio 3:4:2the ratio 3:4:2

C Share £540 in C Share £540 in the ratio 7:2the ratio 7:2

D Share 24 in the D Share 24 in the ratio 3:5ratio 3:5

Sharing in a given ratio ANSWERSSharing in a given ratio ANSWERS

A 132 A 132 ÷11 = 12÷11 = 12

4 X 12 = £484 X 12 = £48

7 X 12 = £847 X 12 = £84

B 180 B 180 ÷ 9 = 20÷ 9 = 20

3 X 20 = 603 X 20 = 60

4 X 20 = 804 X 20 = 80

2 X 20 = 402 X 20 = 40

C 540 C 540 ÷ 9 = 60÷ 9 = 60

7 X 60 = 4207 X 60 = 420

2 X 60 = 1202 X 60 = 120

D Share 24 D Share 24 ÷ 8 = 3÷ 8 = 3

3 X 3 = 93 X 3 = 9

5 X 3 = 155 X 3 = 15

Adding fractionsAdding fractions

A A 22 + + 11

7 57 5B B 11 + + 44

4 94 9

C C 55 + + 22

8 118 11

D D 44 + + 55

7 67 6

Adding fractions ANSWERSAdding fractions ANSWERS

A A 22 + + 11 = = 10+710+7 = = 1717

7 5 35 357 5 35 35B B 11 + + 44 = = 9+169+16==2525

4 9 36 364 9 36 36

C C 55 + + 22 = =55+1655+16==7171

8 11 88 888 11 88 88

D D 44 + + 55==24+3524+35==5959

7 6 42 427 6 42 42

111717

4242

Write the following numbers in Write the following numbers in standard formstandard form

A 3600000A 3600000 B 0.0034B 0.0034

C 0.00000734C 0.00000734 D 61800D 61800

Write the following numbers in Write the following numbers in standard form ANSWERSstandard form ANSWERS

A 3600000A 3600000

3.6 X 103.6 X 1066B 0.0034B 0.0034

3.4 X 103.4 X 10-3-3

C 0.00000734C 0.00000734

7.34 X 107.34 X 10-6-6D 61800D 61800

6.18 X 106.18 X 1044

Write the following standard form Write the following standard form numbers in ordinary formnumbers in ordinary form

A 1.5 X 10A 1.5 X 10-3-3B 2.41 X 10B 2.41 X 1088

C 1.44 X 10C 1.44 X 1055D 3.7 X 10D 3.7 X 1066

Write the following standard form Write the following standard form numbers in ordinary form ANSWERSnumbers in ordinary form ANSWERS

A 1.5 X 10A 1.5 X 10-3-3

0.00150.0015B 2.41 X 10B 2.41 X 1088

241000000241000000

C 1.44 X 10C 1.44 X 1055

144000144000D 3.7 X 10D 3.7 X 1066

37000003700000

Use your calculator to work out the Use your calculator to work out the following.following.

A Increase £350 A Increase £350 by 17%by 17%

B Decrease 68kg B Decrease 68kg by 9%by 9%

C Decrease 540m C Decrease 540m by 12%by 12%

D Increase £488 D Increase £488 by 4.6%by 4.6%

Use your calculator to work out the Use your calculator to work out the following. ANSWERSfollowing. ANSWERS

A Increase £350 by A Increase £350 by 17%17%

1.17 x 350 = £409.501.17 x 350 = £409.50

B Decrease 68kg B Decrease 68kg by 9%by 9%

0.91 x 68=61.88kg0.91 x 68=61.88kg

C Decrease 540m C Decrease 540m by 12%by 12%

0.88 x 0.88 x 540=475.2m540=475.2m

D Increase £488 D Increase £488 by 4.6%by 4.6%

1.046 x 1.046 x 488=£510.45488=£510.45

Work out the amount of money left in the bank Work out the amount of money left in the bank after these compound interest problemsafter these compound interest problems

A £3000 invested A £3000 invested at 6% for 4 yearsat 6% for 4 years

B £2000 invested B £2000 invested at 3% for 6 yearsat 3% for 6 years

C £1200 invested C £1200 invested at 8% for 3 yearsat 8% for 3 years

D £9000 invested D £9000 invested at 12% for 5 at 12% for 5 yearsyears

Work out the amount of money in the bank after Work out the amount of money in the bank after these compound interest problems. ANSWERSthese compound interest problems. ANSWERS

A £3000 invested at A £3000 invested at 6% for 4 years6% for 4 years

3000x1.063000x1.0644=£3787.43=£3787.43

B £2000 invested at B £2000 invested at 3% for 6 years3% for 6 years

2000x1.032000x1.0366=£2388.1=£2388.100

C £1200 invested C £1200 invested at 8% for 3 yearsat 8% for 3 years

1200x1.081200x1.0833=£1511.=£1511.6565

D £9000 invested at D £9000 invested at 12% for 5 years12% for 5 years

9000x1.129000x1.1255=£15861=£15861.08.08