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Fractions, Decimals and Percentages (KS2 Maths (SATs)) - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 5)Fractions, Decimals and Percentages (KS2 Maths (SATs)) revision guide

This topic is chapter 6 of KS2 Maths: Fractions, Ratio and proportion, and Algebra Practice Book.

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KS2 · Fractions, Decimals and Percentages

4.10 Fractions, Decimals and Percentages

Calculators not allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write 3/4 as a decimal.
(1)
2
A toy costs 18.50. VAT at 20% is added. What is the total price including VAT? Give your answer in pounds and pence.
(2)
3
A recipe needs 2.5 kg of flour. Mia uses 60% of the flour for the first batch. How many kilograms of flour are left? Show your working.
(3)
4
Explain which is larger and why: 4/9 or 44%. Show your reasoning.
(3)
5
A shirt is reduced by 30% and now costs 31.50. What was the original price? Show your method.
(2)
6
Write these in order from smallest to largest: 0.205, 1/5, 20%
(2)
7
Ben says that 33 1/3% is the same as 0.33. Is he correct? Explain your answer.
(2)
8
A school book has 240 pages. A pupil has read 37.5% of the book. How many pages has the pupil read? Give your answer as a whole number.
(2)
9
Convert 0.045 to a percentage and to a fraction in its simplest form.
(1)
10
A class has 30 pupils. 40% are girls. After 3 more girls join the class, what percentage of the class are girls? Give your answer to one decimal place.
(3)
11
Write 0.6 as a fraction in its simplest form.
(2)
12
Write 45% as a decimal and as a fraction (simplify the fraction).
(2)
13
A packet of seeds costs 80p. During a sale the price is reduced by 25%. What is the sale price in pence?
(2)
14
Sana ate 2/5 of a cake. What percentage of the cake did she eat? Show your working.
(2)
15
Complete the missing value: 0.875 = ?/8 = ?%
(2)
16
A school charity made £120. They donate 15% to a food bank. How much do they donate? Give your answer in pounds and pence.
(2)
17
Convert 7/20 to a decimal and to a percentage.
(2)
18
Fill the missing number: 250% of ? = 5. What is the value of ?
(2)
Mark scheme · 4.10 Fractions, Decimals and Percentages

Question 1

  • B1 0.75 cao
  • Answer: 0.75

Question 2

  • M1 20% of 18.50 found (18.50 x 0.20 = 3.70) or method shown
  • B1 22.20 cao
  • Answer: 22.20

Question 3

  • M1 60% of 2.5 found or 2.5 x 0.6 = 1.5 shown
  • M1 Subtraction of used amount from total (2.5 - 1.5) or equivalent
  • B1 1.0 kg left cao
  • Answer: 1.0

Question 4

  • M1 One correct conversion: 4/9 to decimal (0.444...) or to percentage (44.4...%) or 44% to fraction 11/25
  • M1 Comparison shown using converted forms, e.g. 44.4...% > 44% or 0.444... > 0.44
  • B1 Correct conclusion with reason: 4/9 is larger because 4/9 = 44.4...% > 44% cao
  • Answer: 4/9 is larger; 4/9 = 44.4...% which is greater than 44%

Question 5

  • M1 Recognise that 31.50 is 70% of original or method showing division by 0.7
  • B1 45.00 cao
  • Answer: 45.00

Question 6

  • M1 Conversion or comparison work seen (1/5 = 0.2 = 20%)
  • B1 1/5, 20%, 0.205 cao (1/5 and 20% are both equal to 0.2, so either order between them is accepted)
  • Answer: 1/5, 20%, 0.205

Question 7

  • M1 Identify 33 1/3% as 1/3 or 0.333... and explain decimal repeats
  • B1 State Ben is not correct: 33 1/3% = 0.333... not 0.33 cao
  • Answer: Not correct; 33 1/3% = 1/3 = 0.333... which is not equal to 0.33

Question 8

  • M1 37.5% of 240 calculated or method shown (240 x 0.375 = 90)
  • B1 90 pages cao
  • Answer: 90

Question 9

  • B1 4.5% and 9/200 cao
  • Answer: 4.5%, 9/200

Question 10

  • M1 Find initial number of girls: 40% of 30 = 12 or method shown
  • M1 Add 3 to girls and find new percentage: (15/33) x 100 or equivalent method
  • B1 45.5% cao
  • Answer: 45.5%

Question 11

  • M1 0.6 = 6/10 or equivalent shown
  • B1 3/5 cao
  • Answer: 3/5

Question 12

  • B1 0.45 decimal cao
  • B1 9/20 fraction cao
  • Answer: 0.45, 9/20

Question 13

  • M1 25% of 80 calculated or 80 x 0.25 = 20 seen
  • B1 60p cao
  • Answer: 60

Question 14

  • M1 2/5 converted to a decimal or fraction of 100, e.g. 2/5 = 40/100 or 0.4
  • B1 40% cao
  • Answer: 40%

Question 15

  • M1 0.875 expressed as fraction with denominator 8: 7/8 seen
  • B1 87.5% cao
  • Answer: 7/8, 87.5%

Question 16

  • M1 15% of 120 found (120 x 0.15 = 18) or method shown
  • B1 18.00 or £18 cao
  • Answer: 18.00

Question 17

  • B1 0.35 decimal cao
  • B1 35% cao
  • Answer: 0.35, 35%

Question 18

  • M1 250% recognised as 2.5 and equation 2.5 x ? = 5 or method to divide 5 by 2.5
  • B1 2 cao
  • Answer: 2

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