Write 45% as a decimal and as a fraction (simplify the fraction).
(2)
4
A packet of seeds costs 80 pence. During a sale the price is reduced by 25%. What is the sale price in pence?
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5
Sana ate 2/5 of a cake. What percentage of the cake did she eat? Show your working.
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6
Complete the missing value: 0.875 = ?/8 = ?%
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7
A school charity made 120 pounds. They donate 15% to a food bank. How much do they donate? Give your answer in pounds and pence.
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8
Convert 7/20 to a decimal and to a percentage.
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9
Fill the missing number: 250% of ? = 5. What is the value of ?
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10
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)
11
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.
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12
Explain which is larger and why: 4/9 or 44%. Show your reasoning.
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13
A shirt is reduced by 30% and now costs 31.50. What was the original price? Show your method.
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14
Write these in order from smallest to largest: 0.205, 1/5, 20%
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15
Ben says that 33 1/3% is the same as 0.33. Is he correct? Explain your answer.
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16
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.
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17
Convert 0.045 to a percentage and to a fraction in its simplest form.
(1)
18
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)
Mark scheme · KS2.M-Y6N4 Fractions, Decimals and Percentages
Question 1
B1 0.75 cao
Answer: 0.75
Question 2
M1 0.6 = 6/10 or equivalent shown
B1 3/5 cao
Answer: 3/5
Question 3
B1 0.45 decimal cao
B1 9/20 fraction cao
Answer: 0.45, 9/20
Question 4
M1 25% of 80 calculated or 80 x 0.25 = 20 seen
B1 60 pence cao
Answer: 60
Question 5
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 6
M1 0.875 expressed as fraction with denominator 8: 7/8 seen
B1 87.5% cao
Answer: 7/8, 87.5%
Question 7
M1 15% of 120 found (120 x 0.15 = 18) or method shown
B1 18.00 or 18 pounds cao
Answer: 18.00
Question 8
B1 0.35 decimal cao
B1 35% cao
Answer: 0.35, 35%
Question 9
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
Question 10
M1 20% of 18.50 found (18.50 x 0.20 = 3.70) or method shown
B1 22.20 cao
Answer: 22.20
Question 11
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 12
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 13
M1 Recognise that 31.50 is 70% of original or method showing division by 0.7
B1 45.00 cao
Answer: 45.00
Question 14
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 15
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 16
M1 37.5% of 240 calculated or method shown (240 x 0.375 = 90)
B1 90 pages cao
Answer: 90
Question 17
B1 4.5% and 9/200 cao
Answer: 4.5%, 9/200
Question 18
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