Order the numbers below from smallest to largest: 0.3, 26/100, 1/4.
(1)
6
What is 6/10 as a decimal?
(1)
7
Add these: 0.4 + 0.25. Show the total as a decimal.
(2)
8
Calculate 0.75 minus 1/4. Give the answer as a decimal.
(2)
9
Write 0.08 as a fraction in simplest form.
(1)
10
There are 100 squares in a grid. Sam colours 37 of them. What decimal shows the part Sam coloured?
(1)
11
Convert 45/100 to a decimal.
(1)
12
Which is larger, 0.7 or 7/10? Explain your answer in one sentence.
(2)
13
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)
14
Fill in the missing number: ?/100 = 0.09
(1)
15
Zara says 2/5 is equal to 0.4. Is she correct? Explain your answer in one sentence.
(2)
16
Write 3/4 as a fraction out of 100.
(1)
17
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)
18
Explain why 50/100 is equal to 1/2. Give two different ways to show this.
(3)
Mark scheme · KS2.M-Y4N5 Fractions and Decimal Equivalents
Question 1
B1 0.4 cao
Answer: 0.4
Question 2
B1 0.07 cao
Answer: 0.07
Question 3
B1 30/100 cao
Answer: 30/100
Question 4
B1 1/4 cao
Answer: 1/4
Question 5
B1 1/4, 26/100, 0.3 cao
Answer: 1/4, 26/100, 0.3
Question 6
B1 0.6 cao
Answer: 0.6
Question 7
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 8
M1 Convert 1/4 to 0.25 or 25/100 and subtract from 0.75
A1 0.50 cao
Answer: 0.50
Question 9
B1 2/25 cao
Answer: 2/25
Question 10
B1 0.37 cao
Answer: 0.37
Question 11
B1 0.45 cao
Answer: 0.45
Question 12
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 13
M1 Convert 75/100 to 0.75 and add to 0.25
A1 1.00 or 1.0 cao
Answer: 1.00
Question 14
B1 9 cao
Answer: 9
Question 15
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 16
B1 75/100 cao
Answer: 75/100
Question 17
M1 Adds decimals 0.45 + 0.30 = 0.75 or converts to hundredths and adds
A1 3/4 cao
Answer: 3/4
Question 18
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