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KS2 · Fractions, Decimals and Percentages

KS2.M-Y5N6 Decimals and Percentages

Calculators not allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write 3.7 as a number of tenths. Give your answer as an integer.

(1)

What is the value of the digit 5 in the number 12.56?

(1)

Write 7.304 to the nearest hundredth.

(1)

Which has the greater value, 0.47 or 4/10? Tick the correct box.

0.47 is greater
4/10 is greater
They are equal

Write 25% as a decimal.

(1)

Complete the statement: 0.6 = ?/10

(1)

Priya buys 3.5 m of ribbon and cuts it into 7 equal lengths. How long is each length in metres?

(2)

A shop reduces the price of a toy from £12.00 by 10%. Work out the new price.

(2)

Write 0.375 as a fraction in its simplest form.

(2)

Round 0.849 to the nearest tenth.

(1)

A recipe needs 0.75 litres of milk. Jess has a jug that holds 250 ml. How many full jugs does she need to measure 0.75 litres? (1 litre = 1000 ml)

(2)

Write the decimal 0.04 as a percentage.

(1)

Sami says that 0.2 is the same as 20% and 1/5. Explain why Sami is correct.

(2)

A school has 240 pupils. 12.5% of the pupils walk to school. How many pupils walk to school?

(2)

Complete the table. Write each decimal in the correct column as tenths, hundredths or thousandths.

Numbers: 0.4, 0.08, 0.007, 0.30

(a)Place 0.4(1)

(b)Place 0.08(1)

(c)Place 0.007 and 0.30(1)

A pair of trainers costs £36.00. The shop increases the price by 25% for a new design. Work out the new price.

(2)

Order these decimals from smallest to largest: 0.405, 0.45, 0.400, 0.395.

(2)

Explain whether 0.05 is the same as 5% and 1/20. Give a short reason for each equivalence.

(3)

Mark scheme · KS2.M-Y5N6 Decimals and Percentages

Question 1

B1 37 cao
Answer: 37

Question 2

B1 0.5 or 1/2 cao
Answer: 0.5

Question 3

B1 7.30 or 7.3 cao
Answer: 7.3

Question 4

B1 0.47 is greater cao
Answer: 0.47 is greater

Question 5

B1 0.25 cao
Answer: 0.25

Question 6

B1 6 cao
Answer: 6

Question 7

M1 Division 3.5 / 7 seen or 35 / 70 or equivalent
B1 0.5 m cao
Answer: 0.5

Question 8

M1 10% of £12.00 = £1.20 seen
B1 £10.80 cao
Answer: £10.80

Question 9

M1 Correct fraction 375/1000 or equivalent seen
B1 3/8 cao
Answer: 3/8

Question 10

B1 0.8 cao
Answer: 0.8

Question 11

M1 Convert 0.75 L to 750 ml or recognise 0.75 = 3/4 and relate to 250 ml
B1 3 cao
Answer: 3

Question 12

B1 4% cao
Answer: 4%

Question 13

M1 Shows 0.2 = 2/10 or 20/100 or converts 1/5 to 0.2
B1 Concludes equivalence e.g. 0.2 = 20% = 1/5 cao
Answer: 0.2 = 1/5 = 20%

Question 14

M1 12.5% of 240 seen or 1/8 of 240
B1 30 cao
Answer: 30

Question 15

(a) B1 0.4 placed in tenths column cao
(a) Answer: tenths
(b) B1 0.08 placed in hundredths column cao
(b) Answer: hundredths
(c) B1 0.007 placed in thousandths and 0.30 placed in hundredths cao
(c) Answer: 0.007 -> thousandths; 0.30 -> hundredths

Question 16

M1 25% of £36.00 = £9.00 seen
B1 £45.00 cao
Answer: £45.00

Question 17

M1 At least 3 of the 4 numbers placed in correct relative order or clear method shown for comparison
B1 0.395, 0.400, 0.405, 0.45 cao
Answer: 0.395, 0.400, 0.405, 0.45

Question 18

M1 Shows 0.05 = 5/100 or writes 0.05 as 5%
M1 Shows 1/20 = 5/100 or converts 1/20 to 0.05
B1 Concludes 0.05 = 5% = 1/20 cao
Answer: Yes. 0.05 = 5/100 = 5%, and 1/20 = 5/100 = 0.05, so all are equivalent.

Decimals and Percentages - Worksheets, Questions and Revision