Revision
Booklet
1
1.
x=8
(a)
When x = 8, what is the value of 5x?
Tick ( ) the correct box below.
5
13
40
58
None of these
1 mark
(b)
When x = 8, what is the value of 3x – x ?
Tick ( ) the correct box below.
0
3
16
30
None of these
1 mark
(c)
When x = 8, what is the value of x2?
Tick ( ) the correct box below.
8
10
16
64
None of these
1 mark
2
2.
Sweets
Fred has a bag of sweets.
Contents
3 yellow sweets
5 green sweets
7 red sweets
4 purple sweets
1 black sweet
He is going to take a sweet from the bag at random.
(a)
What is the probability that Fred will get a black sweet?
1 mark
(b)
Write the missing colour in the sentence below.
The probability that Fred will get a ...................... sweet is
1
4
1 mark
3
3.
Simplifying
Simplify these expressions.
5k + 7 + 3k  ...............................................................................................
1 mark
k + 1 + k + 4  .............................................................................................
1 mark
4.
Shoe sizes
(a)
There are four people in Sita’s family.
Their shoe sizes are 4, 5, 7 and 10
What is the median shoe size in Sita’s family?
...............................
1 mark
4
(b)
There are three people in John’s family.
The range of their shoe sizes is 4
Two people in the family wear shoe size 6
John’s shoe size is not 6 and it is not 10
What is John’s shoe size?
...............................
1 mark
5.
Halfway
The number 6 is halfway between 4.5 and 7.5
6
4.5
7.5
Fill in the missing numbers below.
The number 6 is halfway between 2.8 and .....................
1 mark
The number 6 is halfway between –12 and ......................
1 mark
5
(b)
Work out the number that is halfway between 27 × 38 and 33 × 38
Show your working.
...............................
2 marks
6.
Crisps
A box contains bags of crisps.
Each bag of crisps weighs 25 grams.
Altogether, the bags of crisps inside the box weigh 1 kilogram.
How many bags of crisps are inside the box?
...............................
1 mark
6
7.
Car Parking
A car park shows this sign.
Car Parking
70p
Pay using any of these coins:
10p
20p
50p
No change given
Complete the table to show all the different ways of paying exactly 70p.
Number of
10p coins
Number of
20p coins
Number of
50p coins
7
0
0
2 marks
7
8.
Magic square
One way to make a magic square is to substitute numbers into this algebra grid.
(a)
a+b
a–b+c
a–c
a–b–c
a
a+b+c
a+c
a+b–c
a–b
Complete the magic square below using the values
a  10
b3
c5
5
10
15
2 marks
8
(b)
Here is the algebra grid again.
a+b
a–b+c
a–c
a–b–c
a
a+b+c
a+c
a+b–c
a–b
I use different values for a, b and c to complete the magic square.
20
21
7
3
16
29
25
11
12
What values for a, b and c did I use?
a  ...............................
b  ...............................
c  ...............................
2 marks
9
9.
Angles
The diagram shows triangle PQR.
R
30º
Not drawn
accurately
b
a
c
40º
P
Q
10
Work out the sizes of angles a, b and c
a  ………………°
b  ………………°
c  ………………°
3 marks
10.
Areas
The diagram shows a rectangle 18cm long and 14cm wide.
It has been split into four smaller rectangles.
Write the area of each small rectangle on the diagram.
One has been done for you.
10cm
8cm
............... cm 2
............... cm 2
40cm 2
............... cm 2
10cm
4cm
1 mark
11
What is the area of the whole rectangle?
........................ cm2
1 mark
What is 18 × 14?
18 × 14  ............
1 mark
11.
Completing calculations
Write a number in each box to make the calculations correct.
+
=
–8
–
=
–8
2 marks
12.
Numbers
Here is a list of numbers:
–7
–5
–3
–1
0
2
4
6
You can choose some of the numbers from the list and add them to find their total.
12
For example,
...6...
(a)
+
..–..1..
=
5
Choose two of the numbers from the list which have a total of 3
......
+
......
=
3
1 mark
(b)
Choose two of the numbers from the list which have a total of –1
......
+
...... =
–1
1 mark
Choose two other numbers from the list which have a total of –1
......
+
...... =
–1
1 mark
13
–7
(c)
–5
–3
–1
0
2
4
6
What is the total of all eight of the numbers on the list?
1 mark
(d)
Choose the three numbers from the list which have the lowest possible total.
Write the three numbers and their total.
You must not use the same number more than once.
......
+
...... =
......
2 marks
14
13.
Values
Look at the three expressions below.
8+k
k2
3k
When k  10, what is the value of each expression?
8 + k ...........................
3k  ...........................
k2 ...........................
2 marks
14.
What is my number?
I am thinking of a number.
My number multiplied by 15 is 315
My number multiplied by 17 is 357
What is my number?
..............................
2 marks
15
1 mark
What is the area of the whole rectangle?
15.
Rectangles
A rectangle has an area of 24 cm2
How long could the sides of the rectangle be?
Give three different examples.
......................... cm and ......................... cm
......................... cm and ......................... cm
......................... cm and ......................... cm
2 marks
18 × 14  ............
1 mark
16
16.
Areas
(a)
Tick () any rectangles below that have an area of 12cm2
3 cm
2 cm
2 cm
4 cm
4 cm
4 cm
6 cm
1 mark
(b)
A square has an area of 100cm2
What is its perimeter?
Show your working.
......................... cm
2 marks
17
17.
Percentages
(a)
Complete the sentences.
............................... out of 10 is the same as 70%
1 mark
10 out of 20 is the same as ..............................%
1 mark
(b)
Complete the sentence.
..................... out of ..................... is the same as 5%
1 mark
Now complete the sentence using different numbers.
..................... out of ..................... is the same as 5%
1 mark
18
18.
28 times table
(a)
Show that 9 × 28 is 252
1 mark
(b)
What is 27 × 28?
You can use part (a) to help you.
...............................
2 marks
19.
Percentages
(a)
Write the missing numbers.
50% of 80 = .................
5% of 80 = .................
1% of 80 = .................
2 marks
19
(b)
Work out 56% of 80
You can use part (a) to help you.
.................
1 mark
20.
Triangles
(a)
A triangle has three equal sides.
Write the sizes of the angles in this triangle.
................°,
................°,
................°
1 mark
(b)
A right-angled triangle has two equal sides.
Write the sizes of the angles in this triangle.
................°,
................°,
................°
1 mark
20
21.
Simplifying
(a)
Here is an expression.
2a + 3 + 2a
Which expression below shows it written as simply as possible?
Put a ring round the correct one.
7a
7+a
4a + 3
2a + 5
4(a + 3)
1 mark
(b)
Here is a different expression.
3b + 4 + 5b – 1
Write this expression as simply as possible.
...............................
1 mark
21