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