Fractions, Decimals and Percentages Depth - Worksheets, Questions and Revision

20 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Number

KS2.M-FRAC2 Fractions, Decimals and Percentages Depth

NCETM National Curriculum (2014) Mathematics - KS2 Fractions, Decimals and Percentages (Depth) · Calculators not allowed · about 65 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Complete each equivalent fraction statement.
(a)2/3 = ?/12(1)
(b)5/6 = 20/?(1)
(c)7/9 = ?/45(1)
2
Write each fraction in its simplest form.
(a)12/18(1)
(b)24/32(1)
(c)35/50(1)
3
Convert each fraction to a decimal.
(a)3/8(1)
(b)7/20(1)
(c)9/25(1)
4
Convert each decimal to a percentage, and each percentage to a decimal.
(a)Write 0.62 as a percentage.(1)
(b)Write 0.07 as a percentage.(1)
(c)Write 135% as a decimal.(1)
5
Write these four values in order, starting with the smallest: 3/5, 0.55, 62%, 3/8
(2)
6
Work out 3/4 + 5/6. Give your answer as a mixed number in its simplest form.
(2)
7
Work out 7/8 - 1/3. Give your answer in its simplest form.
(2)
8
Work out 2 3/5 + 1 7/10. Give your answer as a mixed number in its simplest form.
(3)
9
Work out 3/8 * 6. Give your answer as a mixed number in its simplest form.
(2)
10
Work out 2/3 * 3/5. Give your answer in its simplest form.
(2)
11
Work out 4/5 divided by 4. Give your answer in its simplest form.
(2)
12
Kwame has £72 in his savings account. He spends 5/8 of it on a new bicycle. How much money does he spend?
(2)
13
A school has 260 pupils. 15% of the pupils walk to school. How many pupils walk to school?
(3)
14
A recipe for flapjacks uses 3/4 of a bag of oats to make 8 flapjacks. Ffion wants to make 20 flapjacks. What fraction of a bag of oats does she need?
(3)
15
A coat normally costs £84. In a sale it is reduced by 25%. What is the sale price of the coat?
(3)
16
In a spelling test out of 40, Priya scored 34 marks.
(a)Write her score as a fraction of the total, in its simplest form.(2)
(b)Write her score as a percentage.(1)
17
Mohammed orders 3 pizzas, each cut into 8 equal slices. He and his friends eat 17 slices in total. What fraction of the pizza is left over? Give your answer in its simplest form.
(3)
18
Freya's weekly pocket money is £15. Her parents increase it by 1/5. She then spends 40% of her new pocket money on a book. How much money does she have left?
(4)
19
Aaliyah and Tomasz are saving for a games console that costs £180. Aaliyah has saved 3/5 of the cost. Tomasz has saved 70% of the cost. Work out how much more Tomasz has saved than Aaliyah.
(4)
20
A charity is packing gift bags. Each bag needs 3/4 of a metre of ribbon. The charity has 15 metres of ribbon in total, and has already used 2/5 of it on wrapping paper trims.
(a)How many metres of ribbon are left for gift bags?(2)
(b)How many complete gift bags can be made from the ribbon that is left? Show that your answer is correct.(3)
Mark scheme · KS2.M-FRAC2 Fractions, Decimals and Percentages Depth

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20