O LEVEL (P1)
ARITHEMATICS
QUESTION'S
1
1
(a) Express
(b) Evaluate
72
as a fraction in its lowest terms.
108
1 4
+ .
3 7
Answer (a) ................................................. [1]
(b) ................................................. [1]
2
(a) Evaluate 63 ÷ 0.9 .
Answer (a) ................................................. [1]
(b) Add brackets to the expression in the answer space to make it correct.
Answer (b) 1 + 72 ÷ 4 × 2 = 10
3
Evaluate
(a) 0.4 × 0.06 ,
(b)
3
0.008 .
Answer (a) ........................................... [1]
(b) ........................................... [1]
[1]
2
4
Evaluate
(a) 1P ÷ 5 ,
(b) 4Q – 1.43, giving your answer as a decimal.
Answer (a) ........................................... [1]
(b) ........................................... [1]
5
(a) Add together 181 centimetres and 14.85 metres.
Give your answer in metres.
(b) Express 40 000 square metres in square kilometres.
Answer (a) ........................................m [1]
(b) ....................................km2 [1]
6
Evaluate
(a) 2
(b)
2 1
× ,
3 7
2
7
÷
.
5 12
Answer (a) ................................................... [1]
(b) ................................................... [1]
3
7
Evaluate
(a) 10 – 7.56 ,
(b) 0.105 × 0.2 .
Answer (a) ........................................... [1]
(b) ........................................... [1]
8
Evaluate
(a) 6 – 1 ,
7 3
(b) 2 × 4 .
5 9
Answer (a) ....................................................[1]
(b) ....................................................[1]
9
Evaluate
(a) 3 + 2 (4 – 5),
(b) 1 1–3 ÷ 2 1–2 .
Answer (a) ..............................................[1]
(b) ..............................................[1]
___________________________________________________________________________
4
10
Evaluate
(a) 1 + 1 ,
4 7
(b) 1 7 ÷ 3 .
8 16
Answer (a) ....................................................[1]
(b) ....................................................[1]
11
It is given that 2 , 8 and n are equivalent fractions.
3 d
39
Find the value of d and the value of n.
Answer d = ....................................................[1]
n = ....................................................[1]
12
Express as a single fraction in its lowest terms
(a) 3 59 – 2 23 ,
(b)
3
8
÷ 2 14 .
Answer (a) .................................................[1]
(b) .................................................[1]
5
13
Evaluate
(a) 1 – 3 ,
2 7
(b) 2 2 × 1 3 .
3
4
Answer (a) ............................................[1]
(b) ............................................[1]
14
Evaluate
(a) 25 – 18.3,
(b) 1.7 × 0.03.
Answer (a) ............................................[1]
(b) ............................................[1]
15
Evaluate
(a) 0.3 × 0.06,
(b) 0.4 + 0.3 × 5.
Answer (a) ............................................[1]
(b) ............................................[1]
6
16
Express as a single fraction in its lowest terms,
(a)
8×3,
9 4
Answer (a) ...................................... [1]
(b)
3−2.
4 3
Answer (b) ..................................... [1]
17
(a) Write down the two cube numbers between 10 and 100.
Answer (a) ...................................... [1]
(b) Write down the two prime numbers between 30 and 40.
Answer (b) ..................................... [1]
7
18
(a) Evaluate
0.5 × 0.007.
Answer (a) ...................................... [1]
(b) Evaluate
1
1.25
as a decimal.
Answer (b) ..................................... [1]
19
(a) Evaluate
2 4
– .
3 7
Answer (a) .......................................[1]
(b) Evaluate
1 5
1 × ,
3 8
giving your answer in its simplest form.
Answer (b) .......................................[1]
8
20
(a) Add brackets to the equation in the answer space to make it correct.
Answer (a) 4 + 6 × 7 – 5 = 16 [1]
(b) Find the value of
27 × 0.002.
Answer (b) .......................................[1]
21
Arrange these values in order of size, starting with the smallest.
9
20
0.39
46%
Answer .................
smallest
2
5
.................
.................
................[2]
9
22
Evaluate
(a) 1 + 2 ,
2 9
Answer (a) ...................................... [1]
(b) 2 ÷ 9 .
3 11
Answer (b) ...................................... [1]
23
Given that n is an integer and n ⬎ 1, decide whether each statement in the table is true or false.
For each statement write true or false in the table.
If you write false, give an example to justify your decision.
Statement
True or False
Example (if false)
n3 > 1
1> 1
n n2
(n – 1)(n + 3)
is always odd
[2]
10
24 Evaluate
(a) 0.2 × 0.06,
Answer (a) ..................................... [1]
(b) 3 ÷ 0.01,
Answer (b) ..................................... [1]
1
(c) 27 3 .
Answer (c) ..................................... [1]
25
Evaluate
(a) 1.5 – 0.2 × 4,
Answer (a) ...................................... [1]
(b) 4.2 ÷ 0.07.
Answer (b) ..................................... [1]
11
26
Express as a single fraction
(a)
5–2,
7 5
Answer (a) ...................................... [1]
(b) 1 1 ÷ 2 1 .
5
3
Answer (b) ..................................... [1]
27
The table shows the record minimum monthly temperatures, in °C, in Vostok and London.
Month
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug Sept
Oct
Nov
Dec
Vostok
–36
– 47
– 64
–70
–71
–71
–74
–75
–72
– 61
– 45
–35
London
–10
–9
–8
–2
–1
5
7
6
3
–4
–5
–7
Find
(a) the difference between the temperatures in Vostok and London in July,
Answer (a) ................................ °C [1]
(b) the difference between the temperatures in Vostok in February and June.
Answer (b) ................................ °C [1]
12
28
(a) Evaluate 35 – 27.3 .
Answer (a) ....................................... [1]
(b) Evaluate 1.3 × 0.03 .
Answer (b) ....................................... [1]
29
(a) Evaluate 1 + 3 .
7
3
Answer (a) ....................................... [1]
(b) Evaluate 2 ÷ 2
2
.
3
Answer (b) ....................................... [1]
13
30
1
(a) Evaluate 3
1
7
–2
3.
Answer (a) ...................................... [1]
(b) Evaluate
2
9
7
× 1 8 , giving your answer as a fraction in its lowest terms.
Answer (b) ...................................... [1]
31
(a) Evaluate 6.3 ÷ 0.09.
Answer (a) ...................................... [1]
(b) Find the decimal number that is exactly halfway between 3.8 and 4.3 .
Answer (b) ...................................... [1]
14
32
The temperatures, in °C , at midnight on 10 consecutive days were
4, 1, 0, –2, –1, –3, 1, –2, 3, –1.
(a) Find the difference between the highest and the lowest temperature.
Answer (a) ................................. °C [1]
(b) How many of these temperatures are within 2.5 °C of 1 °C ?
Answer (b) ...................................... [1]
33
Evaluate
(a) 52.3 × 10 − 3.76 × 100,
Answer
........................................ [1]
Answer
........................................ [1]
(b) 20 − 8 ÷ 2 + 1.
15
34
Evaluate
(a) 2 + 3 ,
3
10
Answer
........................................ [1]
Answer
........................................ [1]
Answer
........................................ [1]
Answer
........................................ [1]
(b) 1 35 ÷ 3.
35
Write down
(a) a square number that is a factor of 75,
(b) a cube number that is a multiple of 24.
36
An instrument is used to measure the height of an object
above sea level.
16
The height, in metres, is shown on the dial.
(a) What is the reading on the dial?
0
–16
+16
–32
+32
– 48
+48
– 64
+64
–80
+80
Answer
.................................... m [1]
(b) The object moves from position A, where the dial reads −54, to position B, where the dial
reads + 48.
What is the difference in height between A and B?
Answer
37
.................................... m [1]
(a) Evaluate 12 + 6 ÷ 2 – 8 .
Answer
........................................ [1]
Answer
........................................ [1]
(b) Evaluate 2.6 × 0.2 .
17
38
(a) Evaluate 32 – 83 .
Answer
........................................ [1]
(b) Evaluate 1 3 × 2 , giving your answer as a fraction in its lowest terms.
4 9
Answer
........................................ [1]
39 The table shows the height, in metres, above sea level of the highest and lowest points in some
continents.
A negative value indicates a point below sea level.
Asia
Africa
Europe
South America
Highest point (m)
8850
5963
5633
6959
Lowest point (m)
– 409
–156
–28
– 40
(a) What is the height above sea level of the highest point in Africa?
Give your answer in kilometres.
Answer
................................. km [1]
(b) In South America, how much higher is the highest point than the lowest point?
Give your answer in metres.
Answer
................................... m [1]
(c) How much higher is the lowest point in Europe than the lowest point in Asia?
Give your answer in metres.
Answer
................................... m [1]
18
40
(a) Evaluate 3 + 5(3 – 1.4) .
Answer
....................................... [1]
Answer
....................................... [1]
Answer
....................................... [1]
Answer
....................................... [1]
(b) Evaluate 0.2 × 0.07 .
41
4
2
(a) Evaluate 3 3 – 2 5 .
48
(b) Express 84 in its lowest terms.
19
42
(a) Evaluate 23 – 17 .
9
4
Answer
....................................... [1]
Answer
....................................... [1]
(b) Evaluate 0.7 – 0.1 × 3 .
43 Given that π = 3.141592654, find the difference between
figures.
22
7 and π, correct to two significant
Show your working.
Answer
..................................... [2]
20
44
Evaluate
(a) 3 – 2 ,
5
7
Answer
..................................... [1]
Answer
..................................... [2]
(b) 12 ÷ 13 .
3
4
45
0.2
2
√⎯2
1
3
0.83
8
81
From the numbers listed above, write down
(a) a prime number,
Answer
..................................... [1]
Answer
..................................... [1]
Answer
..................................... [1]
(b) a cube number,
(c) an irrational number.
21
46
The temperature in a freezer is –18 °C.
The outside temperature is 24 °C.
(a) Find the difference between the outside temperature and the freezer temperature.
Answer
................................°C [1]
(b) The temperature in a fridge is 22 °C warmer than the freezer temperature.
Find the temperature in the fridge.
Answer
47
(a) Evaluate
2
5
+
................................°C [1]
3 .
8
Answer
..................................... [1]
2
1
(b) Evaluate 1 × 2 , giving your answer as a mixed number in its lowest terms.
3
4
Answer
..................................... [2]
22
Use
48
2
5
(a) Evaluate 3 – 2 .
5
6
Answer
..................................... [1]
Answer
..................................... [1]
Answer
..................................... [1]
Answer
..................................... [1]
2
3
(b) Evaluate 3 ÷ 3 4 .
49
(a) Evaluate 0.7 + 0.2 × 0.3 .
(b) Evaluate
0.9 .
0.06
23
50
Arrange these lengths in order of size, starting with the smallest.
2300 mm
Answer
51
220 cm
1
24 m
0.021 km
............................. , ............................. , ............................. , ............................. [2]
smallest
(a) Evaluate 8 + 2 × 1.3 .
Answer
..................................... [1]
(b) Express 0.06 as a fraction, giving your answer in its lowest terms.
52
Answer
..................................... [1]
Answer
..................................... [1]
Answer
..................................... [1]
2
1
(a) Evaluate 3 + 2 .
4
(b) Evaluate
30 + 31 .
24
53
Arrange these numbers in order, starting with the smallest.
3
4
0
–1
– 17
20
–4
5
Answer .................. , ................... , ................... , ................... , ................. [2]
smallest
54
Evaluate
(a) 0.3 × 0.2,
Answer
............................................ [1]
Answer
............................................ [1]
(b) 3.5 ÷ 0.07 .
25
55
6
9
1
The three cards above can be rearranged to make three-digit numbers, for example 916.
Arrange the three cards to make
(a) the three-digit number that is closest to 650,
Answer
............................................ [1]
Answer
............................................ [1]
Answer
............................................ [1]
Answer
�������������������������������������������� [1]
Answer
�������������������������������������������� [1]
(b) the three-digit number that is a multiple of 7,
(c) a three-digit number that is a square number.
56
Evaluate
(a)
(b)
4 2
- ,
7 5
5 2
' �
8 3
26
57 (a) Write these lengths in order of size, starting with the shortest�
500 m
Answer ������������������������
shortest
5 cm
50 km
500 mm
������������������������
������������������������
������������������������
[1]
(b) Convert 41�6 cm2 to mm2�
Answer
����������������������������������� mm2 [1]
27
58 The diagram shows a scale used to measure the water level in a river�
m
2.0
1.5
1.0
0.5
0
–0.5
–1.0
–1.5
–2.0
–2.5
June
The table shows the reading, in metres, at the beginning of each month�
Month
January
February
March
April
May
Reading (m)
0�8
1�2
1�3
0�5
–0�1
June
July
–1�9
(a) The diagram shows the water level at the beginning of June�
Complete the table with the June reading�
[1]
(b) Work out the difference between the highest and lowest levels shown in the table�
Answer
����������������������������������������m [1]
(c) The August reading was 0�4 m higher than the July reading�
Work out the reading in August�
Answer
����������������������������������������m [1]
28
59 (a) James thinks of a two-digit number�
It is a cube number�
It is an even number�
What is his number?
Answer
�������������������������������������������� [1]
Answer
�������������������������������������������� [1]
Answer
�������������������������������������������� [1]
(b) Omar thinks of a two-digit number�
It is a factor of 78�
It is a prime number�
What is his number?
(c) Write down an irrational number between 1 and 2�
60
Use
3
13
(a) Evaluate 2 4 – 1
.
16
Answer
................................................ [1]
Answer
................................................ [1]
(b) Evaluate 5 + 3 # 2 + 2 (2 - 3) .
29
61
(a) Evaluate
341 - 1 45 .
Answer
............................................... [1]
Answer
............................................... [1]
(b) Evaluate 3.01 × 0.02 .
62
(a) Evaluate 5 + 1 # 0.3 .
Answer
.......................................................... [1]
Answer
.......................................................... [1]
(b) Evaluate 18 ' 0.2 .
30
63 (a) Find an integer r such that r 2 5 and 5r - 1 is a square number.
Answer
r = .................................................... [1]
(b) Find the value of s which makes 8s + 2 a prime number.
Answer
s = .................................................... [1]
(c) Write down an irrational number between 7 and 8.
Answer
64
.......................................................... [1]
(a) Evaluate 12 + 8 ' ^9 - 5h.
Answer .............................................................. [1]
(b) Evaluate 0.018 ' 0.06 .
Answer .............................................................. [1]
65
It is given that
3
7
1n1 .
4
8
(a) Write down a decimal value of n that satisfies this inequality.
Answer .............................................................. [1]
(b) Write down a fractional value of n that satisfies this inequality.
Answer .............................................................. [1]
31
66
(a) Evaluate
1 3
+ .
7 4
Answer .............................................................. [1]
1
3
(b) Evaluate 5 ' 1 , giving your answer as a mixed number in its lowest terms.
5
3
Answer .............................................................. [2]
67
(a) Evaluate 10 + 2n2 when n =-1 .
Answer
......................................... [1]
Answer
......................................... [1]
(b) Evaluate 0.4 # 0.2 .
32
68
x is an integer between 50 and 70 .
Write down the value of x when
(a) x is a cube number,
Answer
......................................... [1]
Answer
......................................... [1]
(b) x is a prime factor of 268 .
69
(a) Evaluate
1
3
+1 .
3
8
Answer .............................................. [1]
(b) Evaluate 5 – 3(2 – 1.4).
Answer ............................................... [1]
33
70
3
(a) Express 3 % as a fraction in its simplest form.
4
Answer ............................................... [1]
(b) Arrange these fractions in order, beginning with the smallest.
4
5
3
4
31
40
Answer .................... , .................... , .................... [1]
smallest
71
1.3 + 2.9
(a) Evaluate
.
0.2
Answer............................................. [1]
1 1
(b) Evaluate2 # .
4 5
Answer���������������������������������������������� [1]
34
72
Writethesenumbersinorderofsize,startingwiththesmallest.
13
7
5
0.7 0.64
20
12
8
Answer...............,...............,...............,...............,...............[2]
smallest
73 Omarhasapackofnumbercards.
Hepicksthesefivecards.
_2
_4
_2
4
1
(a) Writedownthemodeofthefivenumbers.
Answer���������������������������������������������� [1]
(b) Hetakesanothercardfromthepack.
(i) Ifthemeanofthesixnumbersis-1 ,whatnumberdidhepick?
Answer���������������������������������������������� [1]
(ii) I fthedifferencebetweenthehighestandlowestofthesixnumbersis12,
whatarethetwopossiblenumbershecouldhavepicked?
Answer�������������������� or....................[1]
35
74
(a) Work out 12 + 6 ÷ 3 + 1 × 5.
(b) Work out
75
7 3
- .
9 5
Answer
........................................ [1]
Answer
........................................ [1]
(a) Evaluate 0.03 × 0.3 .
Answer ................................................. [1]
(b) Evaluate 5 – 2(3 – 1.4) .
Answer ................................................. [1]
36
76
(a) Evaluate 12 - 6 ' 3 + 4 .
Answer ............................................. [1]
(b) Evaluate 0.3 # 1.5 .
Answer ............................................. [1]
77
(a) Evaluate
2 5
- .
3 8
Answer ............................................. [1]
(b) Evaluate
1 7
' , giving your answer as a fraction in its lowest terms.
3 9
Answer ............................................. [1]
37
78
(a) Evaluate ^2.05 + 1.4h # 0.2 .
Answer ........................................... [1]
(b) Evaluate
1 13 - 45 .
Answer ������������������������������������������� [1]
79
The table shows some information about the temperatures in a city.
Date
Maximum temperature
Minimum temperature
1 February
–10 °C
T °C
1 March
4 °C
–5 °C
(a) Find the difference between the maximum and minimum temperatures on 1 March.
Answer ...................................... °C [1]
(b) The minimum temperature, T °C, on 1 February was 13 degrees lower than the
minimum temperature on 1 March.
Find T.
Answer T = ..................................... [1]
38
80
(a) Evaluate . 3 1 -2 3
5
6
Answer .......................................... [1]
(b) Evaluate 0.03 # 0.11 .
Answer .......................................... [1]
81
(a) Evaluate 9.03 - (4.273 + 2.3) .
(b) Evaluate
Answer
......................................... [1]
Answer
......................................... [1]
8 6
- .
9 7
39
82
(a) Evaluate 0.2*0.3
Answer ........................................... [1]
(b) Add one pair of brackets to make the statement below true.
[1]
2 # 3 + 4 # 5 = 70
3
83 (a) Evaluate
5
1
-
8
.
Answer ........................................... [1]
(b) Find A where A #
3 2
= .
7 5
Answer A = .................................... [1]
(c) Find the fraction which is exactly halfway between
5
2
and .
8
3
Answer ........................................... [1]
84
(a) Evaluate
4
5
-
1
3
.
Answer ........................................... [1]
(b) Evaluate 0.2 # 0.006 .
Answer ........................................... [1]