1
1
61
62
63
64
65
66
67
68
69
From the list of numbers, write down
(a) a square number,
...................................................
[1]
...................................................
[1]
...................................................
[1]
...................................................
[2]
(b) a multiple of 13,
(c) a factor of 186,
(d) the prime numbers.
[Total: 5]
2
Find
(a) a multiple of 14,
(b)
[1]
...................................................
[1]
...................................................
[1]
...................................................
[1]
,
,
(c)
(d)
...................................................
.
[Total: 4]
2
3
Alexa records some temperatures.
Fridge 4 °C
Cool box −3 °C
Freezer −19 °C
(a) Find the difference in temperature between the fridge and the cool box.
................................................... °C
[1]
(b) Find the difference in temperature between the cool box and the freezer.
................................................... °C
[1]
(c) The temperature in the cold room is 5 °C lower than the fridge.
Find the temperature in the cold room.
................................................... °C
[1]
[Total: 3]
4
The table shows the temperature at Lexford Station at 10 00 each day for a week.
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
Temperature
(°C)
−3
4
−1
0
−5
2
1
(a) Write down the day which had the coldest temperature.
...................................................
[1]
(b) Work out the difference in the temperature between Monday and Tuesday.
................................................... °C
[1]
................................................... °C
[1]
(c) The temperature falls 6°C from 10 00 to midnight on Sunday.
Work out the temperature at midnight.
[Total: 3]
3
5
Complete the table.
Fraction
Decimal
Percentage
=
0.75
=
=
0.2
=
20%
=
8%
=
[3]
[Total: 3]
6
(a) Write 15% as a decimal.
...................................................
6
[1]
(b) Shade 15% of this grid.
[1]
[Total: 2]
7
Write these numbers in order, starting with the smallest.
0.6
58%
.................... < .................... < .................... < .................... < .................... [2]
[Total: 2]
4
8
Without using your calculator, work out the following.
You must show all your working and give each answer as a fraction in its simplest form.
(a)
...................................................
[2]
...................................................
[3]
(b)
[Total: 5]
9
Without using a calculator, work out
.
You must show all your working and give your answer as a fraction in its simplest form.
...................................................
[4]
[Total: 4]
5
10
One month, Gretal spent a total of $360 on presents.
She spent
of this total on presents for her parents.
She spent
of the remaining money on presents for her friends.
She spent the rest of the money on presents for her sisters.
Calculate the percentage of the $360 that she spent on presents for her sisters.
................................................... %
[4]
[Total: 4]
11
j = 4k + 7m
Find the value of j when k = −5 and m = 6.
j = ................................................... [2]
[Total: 2]
12
Find the value of y when m = −3, x = −2 and c = −8.
y = ...................................................
[2]
[Total: 2]
13
Simplify.
......................................................... [2]
6
[Total: 2]
14
Simplify.
...................................................
[2]
[Total: 2]
15
Expand the brackets and simplify.
Answer ...................................................
[2]
[Total: 2]
16
Expand and simplify.
...................................................
[2]
[Total: 2]
17
Solve the equation
.
x = ...................................................
[2]
[Total: 2]
7
18
Solve.
t = ................................................... [3]
[Total: 3]
3,
19
9,
27,
81,
...
Write down the term to term rule for this sequence.
......................................................... [1]
[Total: 1]
20
These are the first four terms of a sequence.
41 35 29 23
(a) Write down the next two terms.
.............................. , .............................. [2]
(b) Write down the rule for continuing this sequence.
...................................................
[1]
[Total: 3]
21
Find the next term in each of these sequences.
(a)
...................................................
[1]
...................................................
[1]
(b)
8
(c)
...................................................
[1]
[Total: 3]
22
These are the first four terms of a sequence.
1
23
45
67
(a) Write down the next two terms.
.................... , .................... [2]
(b) Find the nth term.
...................................................
[2]
[Total: 4]
23
The nth term of a sequence is
.
(a) Write down the first 3 terms in this sequence.
..................... , ..................... , .....................
[1]
(b) The kth term of this sequence is 422.
Work out the value of k.
k = ................................ [2]
[Total: 3]
9
24
Write down the mathematical name of this type of angle.
......................................................... [1]
[Total: 1]
25
Write down the mathematical name of this solid.
......................................................... [1]
[Total: 1]
26
11 12 1
10
2
9
3
8
4
7
6
5
(a) Complete the clock diagram to show the time 2.30 pm.
[1]
(b) Calculate the obtuse angle between the hands of the clock at 2.30 pm.
...................................................
[2]
10
[Total: 3]
27
B
A
C
In triangle ABC, AB = AC.
(a) Write down the mathematical name for this type of triangle.
...................................................
[1]
Angle CAB = ...................................................
[1]
(b) Measure angle CAB.
(c) Write down the mathematical name for angle CAB.
...................................................
[1]
[Total: 3]
11
28
Draw all the lines of symmetry on each shape.
[4]
[Total: 4]
29
In triangle PQR, PR = 5 cm and QR = 4 cm.
Using a ruler and compasses only, construct triangle PQR.
Leave in your construction arcs.
The side PQ has been drawn for you.
[2]
[Total: 2]
12
30
9.5 cm
8 cm
NOT TO
SCALE
12 cm
Using a ruler and compasses only, construct this triangle.
Leave in your construction arcs.
[2]
[Total: 2]
13
31
The diagram shows two straight lines intersecting two parallel lines.
Find the value of x.
x = ................................................... [2]
[Total: 2]
32
Kate describes a quadrilateral.
• All the sides are the same length.
• It has only two lines of symmetry.
(a) Draw a sketch of this quadrilateral.
[1]
(b) Write down the mathematical name for this quadrilateral.
...................................................
[1]
(c) One of the interior angles of this quadrilateral is 70°.
Work out the other three interior angles.
.................... , .................... , .................... [2]
14
[Total: 4]
33
In the diagram, PQ = PR and QRS is a straight line.
(a) Write down the mathematical name of triangle PQR.
...................................................
[1]
Angle QPR = ...................................................
[3]
(b) Work out angle QPR.
[Total: 4]
15
34
NOT TO
SCALE
59° 37°
a°
c°
b°
The diagram shows two parallel lines intersected by two straight lines.
Find the values of a, b and c.
a = ..................................
b = ..................................
c = .................................. [3]
[Total: 3]
35
NOT TO
SCALE
y°
100°
y°
Find the value of y.
y = .................................. [2]
[Total: 2]
16
36
The diagram shows a rectangular patio with sides 6 m and 8 m.
(a) Work out the perimeter of the patio.
................................................... m
[1]
...................................................
[2]
(b) Henri covers the patio floor with square tiles.
The tiles are 0.5 m by 0.5 m.
Work out the number of tiles he needs.
[Total: 3]