General Mathematics – Revision
Non-calculator section:
1. Find the value of
(a) 3.12 x 40
(b) 0.436 x 300
(c) 1.56 x 600
(d) 0.0028 x 4000
(e) 12.6 ÷ 20
(f) 395 ÷ 500
(g) 75.8 ÷ 200
(h) 166 ÷ 4000
2. Calculate the following percentages
(a) 40% of £380
(b) 70% of $3200
(c) 30% of £12
(d) 80% of £5020
(e) 45% of £180
(f) 35% of £2000
(g) 33⅓% of £360
(h) 66⅔% of £5400
3. Find
(a)
1
5
of £220
(b)
2
3
of £4620
(c)
5
8
of 2800 kg
(d)
7
10
of 14.5 cm
4. David earns £1800 per month. His mortgage takes up 30% of his monthly wage
and his council tax is ⅛ of his monthly wage.
(a) Calculate the cost of David’s mortgage.
(b) How much does David pay in council tax.
5. The number of pupils in 4th year in Moorside Secondary School is 320.
60 % of these pupils sit Credit maths and of these, ⅝ get a Grade 1 pass.
How many pupils got a Grade 1 pass?
6. The average locust eats 47.5 milligrams of vegetation per day. How much
vegetation would be eaten by 4000 locusts.
7. Expand the brackets and simplify
(a) 2(3x – 2) – 6
(b) 4p + 2(3 – 3p)
(d) 5(x + 2y) + 3(2x – 4y)
(c) 2 + 5(2n – 4)
(e) 4(p – 2) + 2(3p – 5)
8. Solve the following
(a) 3p – 5 > 13
(e) 5u + 3 = 2u + 15
(b) 4 + 5x = -6
(c) 2(3n – 2) = 1
(f) 6c – 1 = 4c – 11
(d) 4(x – 2) < -3
9. Factorise fully
(a) 2x + 10y
(b) 6u – 15w
(c) 2xy – 6x
(d) 10p – 15pq
(e) 3g + 12gh
10. Write each of the following in Scientific Notation.
(a) 31 000 000
(b) 15.3 million
(c) 0.000 056
(d) 0.000 312
11. Write each of the following as ordinary numbers.
(a) 2.31 x 106
(b) 2.1 x 10-5
(c) 4.634 x 10-4
(d) 6.5 x 109
Calculator section:
12. The shape opposite consists of a rectangle and a semi-circle.
Calculate the area of this shape.
13. The diagram opposite shows a wooden table.
The table is in the shape of a rectangle with
semi-circular ends.
Calculate the area of this table.
14. The diagram opposite is in the shape of a rectangle
with a semi-circle removed at each end.
Calculate the area of this shape.
18 cm
12 cm
15. A ramp 5.5 metres long is at a height of 1.4 m
at its highest point.
Calculate ao, the angle the ramp makes
with the ground.
1.4 m
a0
5.5 m
16. A telegraph pole is connected to the ground
by wires. Each wire is 8 metres long and is
fixed to the ground 4.5 metres from the pole.
8m
h
Use this information to calculate the height
of the telegraph pole.
4.5 m
17. The diagram shows a garden.
A fence is to be put round the
outside of the garden.
16 m
12 m
How long will the fence be?
8m
18. The diagram shows the end view
of the roof of a house which is in
the shape of an isosceles triangle.
Calculate h, the height of the roof.
h
280
22 m
19. Michael is looking at a hot air balloon in the sky.
From Michael’s position the angle of elevation
to the balloon is 350.
Calculate h, the height the balloon is above the
ground.
h
350
GROUND
75 m
20. The marks of 14 pupils in a test were
28 16 31 37 43 47 46 47 31 47 20 18 30 26
(a) Show these marks in a stem and leaf diagram.
(b) Write down the modal mark
(c) Find the median mark.