Answers Non-calculator
1a.
Find ⅝ of 12m 48cm 7m 80cm
1b. Increase 32.4kg by 20% 38.88kg
1c.
Share £47 in the ratio 3:2 £28.20 : £18.80
1d. 4 pens cost 68p, find the cost of 7 pens 119p
2a. i) 27 x 34 918
iv) 14 ÷ 0.5 28
ii) 58 x 0.3 17.4
v) 2.4 ÷ 0.6 4
2b. Given 512 x 61 = 31232, calculate:
i) 5.12 x 61 312.32 ii) 512 x 122 62464
2c. i) (-2) + 8 6
iv) (-3) x 6 -18
2d. i)
3
/8 + 5/6 29/24
iii) 0.7 x 1.42 0.994
vi) 0.32 0.09
iii) 513 x 61 31293
ii) 3 – (-7) 10
v) (-5)2 25
iii) (-1) + (-7) -8
vi) (-16) ÷ 8 -2
ii) 3/8 x 5/6 5/16
iii) 3/8 ÷ 5/6 9/20
3a. What is the Highest Common Factor of 16 and 24? 8
3b. What is the Lowest Common Multiple of 12 and 20? 60
3c. Write 28 as a Product of Prime factors 2x2x7
4.
Evaluate: i) √81 9
5.
Simplify:
i) a + a + a + a 4a
iv) c + 3d – 2c + d 4d - c
6.
7.
ii)
53 125
iii) ∛(8) 2
ii) b x b x b b3
v) e3 x e5 e8
iii) 2a x 3b 6ab
vi) (3f 4)2 9f 8
ii) 4c (3 – 2c ) 12c – 8c2 iii) (y + 5)(y - 3)
y2 + 2y - 15
i) 9a - 15b 3(3a – 5b)
ii) 12c2 + 8cd 4c(3c + 2d)
iii) y2 + 9y + 8 (y + 8)(y + 1)
i) 3(2a + b) 6a + 3b
Revision Sheet 2: Calculator
1.
Calculate the Area of the shapes below. Show method and units.
b.
35 mm2
12 m
d.
42 mm2
9 cm
7 cm
4 mm
30 mm
10 mm
e.
95 cm2
8 cm
6 mm
30 m
28 mm
7 mm
c.
30 m2
5m
5 mm
a.
48 cm
78.5 cm2
2.
4 cm
31.4 cm
Calculate the Perimeter of the shapes above. Show units.
3.
i) 13/4 + 5/7 213/28
4.
Given the formula: s = t3 + 3t/4 find the value of s when:
i) t = 6 220.5
ii) t = 0.37 0.328153 iii) t = -2.4 -15.624
5.
Solve the equations to find the value(s) of 𝒙.
ii) 2/5 x 31/6 14/15
i) 2𝒙 + 3 = 15 6
ii)
iv) 2𝒙 - 8 = 4 + 5𝒙 -4
v)
𝒙
𝟑
𝟏𝟎
𝒙
= 12 36
=52
iii) (3/4)2 9/16
iii) 4(3𝒙 – 2) = 46 4.5
vi) 4𝒙 – 9 > 11 𝒙 > 5
6.
Given the sequence: 3, 7, 11, 15, …… find the:
i) 10th term 39
ii) 50th term 199
iii) nth term 4n - 1
7.
A fair dice is rolled, what is the probability of throwing a:
i) 6 1/6
ii) less than a 6 1
iii) more than a 6 0
iv) 1 or 2 1/3
v) an even number 1/2 vi) a multiple of 3 1/3
8.
Eight test marks are: 12, 15, 10, 16, 17, 19, 17, 14. Find the:
i) mean 15
ii) median 15.5
iii) mode 17 iv) range 9
9.
Calculate:
a) the volume of this cube 50.653 cm3
b) the total surface area. 82.14 cm2
The cube is enlarged by length scale factor 4.
Calculate:
c) the volume of the bigger cube 3241.793 cm3
d) the surface area of the bigger cube. 1314.24 cm2
10.
y=6
x=-7
3.7 cm
y=2x
i
11.
ii
11. Draw these transformations
of rectangle R:
i) reflection in the line y = x
−8
iv
iii
R
y=x-2
ii) translation by ( 10 )
iii) rotation by ¼ turn
clockwise about point (0,0)
iv) enlargement by scale
factor ½ centre (10,2)
12. Calculate the angles shown, giving a reason
1150
0
40
1400
400
1150
500
1350
400
400
1350
1100
700