Fractions and Decimal Equivalents - Worksheets, Questions and Revision

18 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 4)Fractions and Decimal Equivalents revision guide

This topic is chapter 2 of KS2 Maths: Fractions, Ratio and proportion, and Algebra Practice Book.

Next in this strand

4.6 Fractions and Decimal Equivalents

Calculators not allowed · about 35 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write 4/10 as a decimal.

(1)

There are 100 squares in a grid. Sam colours 37 of them. What decimal shows the part Sam coloured?

(1)

Convert 45/100 to a decimal.

(1)

Which is larger, 0.7 or 7/10? Explain your answer in one sentence.

(2)

A recipe needs 0.25 kg of sugar and 75/100 kg of flour. How many kilograms of ingredients are used in total? Give your answer as a decimal.

(2)

Fill in the missing number: ?/100 = 0.09

(1)

Zara says 2/5 is equal to 0.4. Is she correct? Explain your answer in one sentence.

(2)

Write 3/4 as a fraction out of 100.

(1)

A paint pot is 0.45 full of red paint and 0.30 full of blue paint. What fraction of the pot is red and blue together? Give your answer as a fraction in simplest form.

(2)

Explain why 50/100 is equal to 1/2. Give two different ways to show this.

(3)

Write 7/100 as a decimal.

(1)

Write 3/10 as an equivalent fraction out of 100.

(1)

Write 25/100 in its simplest form.

(1)

Order the numbers below from smallest to largest: 0.3, 26/100, 1/4.

(1)

What is 6/10 as a decimal?

(1)

Add these: 0.4 + 0.25. Show the total as a decimal.

(2)

Calculate 0.75 minus 1/4. Give the answer as a decimal.

(2)

Write 0.08 as a fraction in simplest form.

(1)

Mark scheme · 4.6 Fractions and Decimal Equivalents

Question 1

B1 0.4 cao
Answer: 0.4

Question 2

B1 0.37 cao
Answer: 0.37

Question 3

B1 0.45 cao
Answer: 0.45

Question 4

B1 States they are equal or gives one as equal to the other (e.g. they are the same)
B1 Gives correct reason, e.g. 7/10 = 0.7 or both are 0.7 cao
Answer: They are equal because 7/10 = 0.7

Question 5

M1 Convert 75/100 to 0.75 and add to 0.25
A1 1.00 or 1.0 cao
Answer: 1.00

Question 6

B1 9 cao
Answer: 9

Question 7

B1 States yes or no correctly (yes)
B1 Gives correct reason, e.g. 2/5 = 4/10 = 0.4 cao
Answer: Yes. 2/5 = 4/10 = 0.4

Question 8

B1 75/100 cao
Answer: 75/100

Question 9

M1 Adds decimals 0.45 + 0.30 = 0.75 or converts to hundredths and adds
A1 3/4 cao
Answer: 3/4

Question 10

M1 Shows division/simplifying method, e.g. divide numerator and denominator by 50 to get 1/2
M1 Shows decimal or proportion method, e.g. 50/100 = 0.50 and 1/2 = 0.5
A1 Clear conclusion that both ways show 50/100 = 1/2 cao
Answer: 50/100 = 1/2 because dividing top and bottom by 50 gives 1/2, and 50/100 = 0.50 which equals 0.5 = 1/2

Question 11

B1 0.07 cao
Answer: 0.07

Question 12

B1 30/100 cao
Answer: 30/100

Question 13

B1 1/4 cao
Answer: 1/4

Question 14

B1 1/4, 26/100, 0.3 cao
Answer: 1/4, 26/100, 0.3

Question 15

B1 0.6 cao
Answer: 0.6

Question 16

M1 Correct method: align hundredths or convert 0.4 to 0.40 or 4/10 to 40/100
A1 0.65 cao
Answer: 0.65

Question 17

M1 Convert 1/4 to 0.25 or 25/100 and subtract from 0.75
A1 0.50 cao
Answer: 0.50

Question 18

B1 2/25 cao
Answer: 2/25

Fractions and Decimal Equivalents - Worksheets, Questions and Revision

Next in this strand

Related topics

4.6 Fractions and Decimal Equivalents

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 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