Uploaded by Ahnaf Nahiyan

Fractions Toolkit Worksheet: O Level Cambridge Maths Practice

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O Level
Cambridge
Maths
2 hours
40 questions
All Questions
Fractions Toolkit
Fractions / Equivalent Fractions / Mixed Numbers & Top Heavy Fractions /
Operations with Fractions
Easy (8 questions)
/18
Medium (8 questions)
/14
Hard (9 questions)
/25
Very Hard (15 questions)
/46
Total Marks
/103
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1
Easy Questions
1 Write $24.60 as a fraction of $2870.
Give your answer in its lowest terms.
(2 marks)
2 Work out
5 2
+ .
6 3
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
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2
3 (a) Work out
1 2
× .
7 3
(1 mark)
(b) Work out
3 1
− .
5 3
(2 marks)
4 Work out
3 1
+ .
4 6
Give your answer in its simplest form.
(2 marks)
5 Work out
3
5
+ .
5
8
Give your answer as a mixed number in its simplest form.
(3 marks)
6 Work out
2
15
.
×
15 22
Give your answer in its lowest terms.
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3
(2 marks)
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4
7 (a) Work out
3 2
+
7 5
(1 mark)
(b) Find
2
6
of
, giving your answer as a fraction in its simplest form.
3
11
(1 mark)
8 Express as a single fraction
5 2
−
7 5
(1 mark)
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5
Medium Questions
1 Giulio’s reaction times are measured in two games.
1
of a second.
3
1
In the second game his reaction time is
of a second.
8
In the first game his reaction time is
Find the difference between the two reaction times.
.................................................. s
(1 mark)
2 Work out
7
of 198 kg.
11
........................................... kg
(2 marks)
3 Work out 3
3
7
×
.
4
9
(3 marks)
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6
4 Lily's age is 2 years and 4 months.
Hugo’s age is 1 year and 8 months.
Write Lily’s age in months as a fraction of Hugo’s age in months.
Give your fraction in its simplest form.
(2 marks)
5 Work out £1.50 as a fraction of 60p
Circle your answer.
2
5
1
4
4
1
5
2
(1 mark)
6 Circle the fraction that is equivalent to 3 . 875
15
4
29
8
31
8
15
8
(1 mark)
7
1 2 7
+ ÷
3 3 6
(3 marks)
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7
8 Write as a single fraction.
1
1
1 5 ÷2 3
(1 mark)
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8
Hard Questions
1 One month, Gretal spent a total of $360 on presents.
1
of this total on presents for her parents.
5
2
She spent
of the remaining money on presents for her friends.
3
She spent
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 marks)
2 Work out
15 4
÷ .
28 7
You must show all your working and give your answer as a fraction in its simplest form.
(3 marks)
3 Work out
2 1 2
+ × .
3 4 3
Write down all the steps of your working and give your answer as a fraction in its
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9
simplest form.
(4 marks)
4 Work out
12 7
× .
35 9
You must show all your working and give your answer as a fraction in its simplest form.
(2 marks)
5 Work out
1
2
+ .
15 5
Write down all the steps of your working and give your answer as a fraction in its
simplest form.
(2 marks)
6 Work out
1 2
÷ .
4 3
You must show all your working and give your answer as a fraction.
(2 marks)
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10
7 Collette has $136 and spends half of her money on clothes and
1
of her money on
5
books.
Calculate the amount she has left.
$ ...............................................
(3 marks)
8 Work out
2
1
.
−
3 12
You must show all your working and give your answer as a fraction in its simplest form.
(2 marks)
9 Work out
7 1
+ .
8 6
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
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11
Very Hard Questions
2
1
1 Work out 2 3 + 3 2
Give your answer as a mixed number in its simplest form.
(3 marks)
2 Work out
5
1
÷1 .
6
3
You must show all your working and give your answer as a fraction in its simplest form.
(3 marks)
3 Work out 2
2
3
×2 .
3
4
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
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12
4 Work out 1
1
1
×2
.
7
10
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
⎛ 1 7 ⎞⎟ 6
− ⎟×
.
⎝ 3 8 ⎠ 25
5 Work out ⎜⎜2
You must show all your working and give your answer as a fraction in its simplest form.
(4 marks)
6 Work out 1
3 11
−
.
4 12
You must show all your working and give your answer as a fraction in its simplest form.
(3 marks)
7 Work out 3
1
2
−2 .
4
3
You must show all your working and give your answer as a fraction in its simplest form.
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13
(3 marks)
8 Work out 1
7
13
+
.
12
20
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
9 Work out
5
1
×1 .
16
7
You must show all your working and give your answer as a fraction in its simplest form.
(2 marks)
10 Work out 3
5
2
−1 .
8
3
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
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14
1
3
.
÷
4
7
11 Work out 2
You must show all your working and give your answer as a mixed number in its simplest
form.
(3 marks)
1
5
.
÷
8 12
12 Work out 3
You must show all your working and give your answer as a mixed number in its simplest
form.
(4 marks)
13 Work out
3
1
÷2 .
8
4
You must show all your working and give your answer as a fraction in its simplest form.
(3 marks)
14 Work out 1
3
6
×
.
4 35
You must show all your working and give your answer as a fraction in its simplest form.
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15
(3 marks)
15 Work out
2
1
÷1 .
3
5
You must show all your working and give your answer as a fraction in its simplest form.
(3 marks)
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16
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