Chapter 1 Knowledge And Understanding
Non Calculator
1) 2.4 + 5.46 ÷ 60
(2)
2) Evaluate 40% of £11.50 £1.81
2
1
3) Evaluate
1
5
10
(2)
4) Evaluate (846 ÷ 30) – 1.09
1
1
5) Evaluate 4
1
3
2
(2)
6) Evaluate
24.7
0.63 30
(2)
7) Evaluate
6.04 3.72 20
(2)
8) Evaluate
2
1
of
7
3
(2)
(2)
1
4
9) Evaluate
56.4 1.25 40
(2)
10) Evaluate
3.8
(2)
11) Evaluate
12.5% of £140
(2)
12) Evaluate
6.2
(2)
13) Evaluate
5.04 8.4 7
(2)
14) Evaluate
3.1 2.6 4
(2)
15) Evaluate
18 12.5 5
(2)
7.36 8
4.53 1.1
Page 1
Chapter 1 Knowledge And Understanding
Calculator
16) One atom of gold weighs 3.27 × 10–22 grams.
How many atoms will there be in one kilogram of gold?
Give your answer in scientific notation correct to 2 significant figures.
17)
E
(3)
mc 2
Find the value of E when m
3.6 10
2
and c
3 108
Give your answer in scientific notation.
18)
(2)
How many chocpops will be eaten in the year 2001 ?
Give your answer in scientific notation ?
(3)
19) The mass of water on the earth’s surface is 1.41 1018 tonnes.
The total mass of the earth is 5.97 1021 tonnes.
Express the mass of water on the earth’s surface as a percentage of the
total mass of the earth.
Give your answer in scientific notation.
(3)
20) A newspaper report stated :
“Concorde has now flown 7.1 107 miles.
This is equivalent to 300 journeys from earth to the moon.”
Calculate the distance from the earth to the moon.
Give your answer in scientific notation correct to 2 significant figures.
(3)
21) The annual profit (£) of a company was 3.2 109 for the year 1997.
What profit did the company make per second ?
Give your answer to three significant figures.
Page 2
(2)
Chapter 1 Knowledge And Understanding
22) Large distances in space are measured in light years.
A camera on a space telescope photographs a galaxy, a distance of
50 million light years away.
One light year is approximately 9.46 1012 kilometres.
Calculate the distance of the galaxy from the space telescope in
kilometres.
Give your answer in scientific notation.
(3)
23) The orbit of a planet around a star is circular.
The radius of the orbit is
4.96 107 kilometres.
Calculate the circumference of the orbit.
Give your answer in scientific notation.
24)A spider weighs approximately 19.06 10
(3)
5
kilograms.
A humming bird is 18 times heavier.
Calculate the weight of the humming bird.
Give your answer in scientific notation.
(2)
25) The total number of visitors to an exhibition was 2.925 107 .
The exhibition was open each day from 5 June to 29 September inclusive.
Calculate the aveage number of visitors per day to the exhibition.
(3)
26) There are 5 109 red blood cells in 1 millilitre of blood.
The average person has 5.5 litres of blood.
How many red blood cells does the average person have in their blood ?
Give your answer in scientific notation.
Page 3
(3)
Chapter 1 Reasoning And Enquiry
Non Calculator
1) Jamie is going to bake cakes for a party. He needs
2
of a block of butter
5
for 1 cake. He has 7 blacks of butter. How many cakes can Jamie bake?
(3)
2) The ratio of sugar to fruit in a particular jam is 5 : 4.
It is decided to:
• decrease the sugar content by 20%
• increase the fruit content by 20%.
Calculate the new ratio of sugar to fruit.
Give your answer in its simplest form.
(4)
Calculator
3) To make “14 carat” gold, copper and pure gold are mixed in the ratio 5:7.
A jeweller has 160 grams of copper and 245 grams of pure gold.
What is the maximum weight of “14 carat” gold that the jeweller can make ?
(3)
4) School theatre visits are arranged for parents, teachers and pupils.
The ratio of parents to teachers to pupils must be 1 : 3 : 15.
a) 45 pupils want to go to the theatre.
How many teachers must accompany them ?
K.U.(1)
b) The theatre gives the school 100 tickets for a play. What is the maximum
number of pupils who can go to the play ?
(3)
5) A coffee shop blends its own coffee and sells it in one-kilogram tins.
One blend consists of two kinds of coffee, Brazilian and Colombian in the
ratio 2 : 3.
The shop has 20 kilograms of Brazilian and 25 kilograms of Colombian in
stock.
What is the maximum number of one-kilogram tins of this blend
which can be made ?
(3)
Page 4
Chapter 3 Knowledge And Understanding
1) Expand and simplify (3x
1)(x 2
2) Expand fully and simplify x (x
3) Given that x 2
10x
x
18
5x
4)
(2)
1)2
a
2
b
find the values of a and b .
4) Solve the equation
x
5) Simplify 3 2x
4 3x
4
6) Solve the equation
(3)
(3)
2 x
1
(3)
8
1
5 2 1 3x
(3)
(3)
27
Page 5
Answers To Chapter 1-3
Chapter 1 Knowledge & Understanding
1
5
1) 2.491 2) £2.79 3) 1
4) 27.11 5) 2
2
6
1
8)
9) 6.4 10) 2.88 11) £17.50 12) 2.77
6
14) 13.5
16) 3.1 x 1024
15) 5.5
6) 5.8
13) 6.24
17) 1.08 x 107
19) 2.3618 x 10-2 %
20) 2.4 x 105 miles
23) 3.11488 x 108 km
24) 3.4308 x 10-3 kg
7) 80.44
18) 5.256 x 109
21) 101
22) 4.73 x 1020
26) 2.75 x 1013
25) 250000
Chapter 1 Reasoning & Application
1) 17
2) 5 : 6
3) 384 grams
4) a) 9 b) 75 5) 41
Chapter 3 Knowledge & Understanding
1) 3x 3 14x 2
5)
6x
16
7x
6) x
2) x 3
4
2x 2
x
3) a
4
Page 6
5, b
7
4) x
10