Year 10 Exam Revision 2
Groups of 4
Pupil A,B,C,D
1 point for each pupil
Expand and simplify
A 3(2x-1)+4(x+3)
C 4(2x+1)-2(x+3)
B 5(2x+3)+3(x+2)
D 5(3X-1)-2(X-5)
Expand and simplify
ANSWERS
A 3(2x-1)+4(x+3)
6X-3+4X+12
10X+9
B 5(2x+3)+3(x+2)
10x+15+3x+6
13x+21
C 4(2x+1)-2(x+3)
8x + 4 - 2x -6
6x -2
D 5(3X-1)-2(X-5)
15x – 5 -2x + 10
13x + 5
Nth term of a sequence
Write down the 1st, 2nd and 3rd terms
• 4n+1
• 5n-2
• 2n+7
• 3n-2
Nth term of a sequence ANSWERS
Write down the 1st and 2nd terms
• 4n+1 means x4 then +1
• N=1 1x4+1=5
• N=2 2x4+1=9
• 5n-2
• N=1 1x5-2=3
• N=2 2x5-2=8
• 2n+7
• N=1 1x2+7=9
• N=2 2x2+7=9
• 3n-2
• N=1 1X3-2=1
• N=2 2X3-2=6
Simplify by collecting like terms
• 4a + 2b + 3a + 3b
• 5x + 4y – 2x + 10y
• 3x + 10y + 2x + y – x
• 6a + 3b – a + b – 2a
Simplify by collecting like terms
ANSWERS
• 4a + 2b + 3a + 3b
• 7a + 5b
• 5x + 4y – 2x + 10y
• 3x + 14y
• 3x + 10y + 2x + y – x
• 4x + 11y
• 6a + 3b – a + b – 2a
• 3a + 4b
Factorise by putting back into
brackets
• 2a + 10
• 5a + 30
• y2 + 3y
• b2 – 7b
Factorise by putting back into
brackets
ANSWERS
• 2a + 10
• 2(a + 5)
• 5a + 30
• 5(a + 6)
• y2 + 3y
• y(y+3)
• b2 – 7b
• b(b – 7)
Plot the following coordinates, join them up
then find the coordinates of the mid-point
• (1,1) and (5,5)
• (2,10) and (4,4)
• (6,3) and (9,4)
• (6,10) and (8,7)
Plot the following coordinates, join them up
then find the coordinates of the mid-point
ANSWERS
• (1,1) and (5,5)
(3,3)
• (2,10) and (4,4)
(3,7)
• (6,3) and (9,4)
(7.5,3.5)
• (6,10) and (8,7)
(7,8.5)
Find the area of these shapes
•
• 2cm
6cm
• 4cm
•
7cm
• 6cm
•
12cm
Find the area of these shapes
ANSWERS
•
6cm
• 2cm
6x=12cm2
• 4cm
•
7cm
4x7=28
28÷2 = 14cm2
• 6cm
•
6x12=72
72÷2=36cm2
12cm
Calculate the mean
Age(years)
Frequency
3
5
4
7
5
10
6
6
7
2
Calculate the mean ANSWERS
Age(years)
Frequency
Age x freq
3
5
15
4
7
28
5
10
50
6
6
36
7
2
14
30
Mean = 143 ÷ 30 = 4.7
143
Calculate the mean
Height (cm)
Frequency
10 ≤ h < 20
3
20 ≤ h < 30
7
30 ≤ h < 40
8
40 ≤ h < 50
2
Calculate the mean ANSWERS
Height (cm)
Frequency
Midpoint x freq
10 ≤ h < 20
3
15x3=45
20 ≤ h < 30
7
25x7=175
30 ≤ h < 40
8
35x8=280
40 ≤ h < 50
2
45x2=90
20
Mean = 590 ÷ 20 = 29.5 cm
590
Expanding double brackets
• (x + 2)(x + 7)
• (x + 6)(x – 3)
• (x + 5)2
• (x + 7)2
Expanding double brackets
ANSWERS
X 2
• (x + 2)(x + 7)
X
7
X2 2X
7X 14
X2+9X+14
• (x + 6)(x – 3)
X2 + 3X - 18
• (x + 5)2 = (X+5)(X+5)
X2 + 10X + 25
• (x + 7)2 = (X+7)(X+7)
X2 + 14X + 49
Calculate the circumference of a
circle.
• REMEMBER C=πd
10cm
6cm
7cm
Calculate the circumference of a
circle. ANSWERS
• REMEMBER C=πd
10cm
• C = 3.14 x 10=31.4
7cm
c=3.14 x 7 = 21.98
6cm
• D=12 so c=3.14 x 12 = 37.68
Calculate the area of a circle.
• REMEMBER a=πr2
10cm
6cm
7cm
Calculate the area of a circle.
ANSWERS
• REMEMBER a=πr2
10cm
• A=3.14 x 102=314
7cm
A=3.14 x 72=153.86
6cm
• R=3 so A=3.14 x 32 = 28.26
Write these numbers in standard
form
• 5600000
• 31800
• 0.00074
• 0.035
Write these numbers in standard
form ANSWERS
• 5600000
• 5.6 X 106
• 31800
• 3.18 X 104
• 0.00074
• 7.4 X 10-4
• 0.035
• 3.5 X 10-2
Compound interest.
• £3000 invested at 2% at 5 years
• £2400 invested at 4% for 3 years
• £600 invested at 6% for 2 years
• £2500 invested at 4.1% for 3 years
Compound interest. ANSWERS
• £3000 invested at 2% at 5 years
• 3000 X 1.025 = £3312.24
• £2400 invested at 4% for 3 years
• 2400 X 1.043 = £2699.67
• £600 invested at 6% for 2 years
• 600 X 1.062 = £674.16
• £2500 invested at 4.1% for 3 years
• 2500 X 1.0413 = £2820.28
Histograms .
• Work out the frequency density then draw the
histogram
Height (cm)
0 < h ≤ 10
10 < h ≤ 15
15 < h ≤ 30
30 < h ≤ 50
Frequency
40
30
30
100
Histograms . ANSWERS
• Work out the frequency density then draw the
histogram
Height (cm)
0 < h ≤ 10
10 < h ≤ 15
15 < h ≤ 30
30 < h ≤ 50
Frequency
40
30
30
100
Freq
Density
Height
F ÷ class width
40 ÷ 10 = 4
30 ÷ 5 = 6
30 ÷ 15 = 2
100 ÷ 20 = 5
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