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11+ · Comparing and ordering fractions, decimals and percentages

EP.M98 Comparing and Ordering Fractions, Decimals and Percentages

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Which of these is the largest?

A) 3/4
B) 74%
C) 0.749
D) 0.8
E) 75%

(Total for Question 1 is 1 mark)

Which of the following is the largest value?

A) 0.48
B) 48%
C) 47/100
D) 0.479
E) 0.481

(Total for Question 2 is 1 mark)

Write 7/20 as a percentage.

(Total for Question 3 is 1 mark)

Which of these is equal to 0.125?

A) 12/1000
B) 1/8
C) 5/4
D) 1.25/1000
E) 125/10

(Total for Question 4 is 1 mark)

Which number is the odd one out?

Choose the number that is not equal to the others.

(Total for Question 5 is 1 mark)

Which of these is the decimal representation of 3/20?

A) 0.15
B) 0.015
C) 0.005
D) 0.3
E) 0.75

(Total for Question 6 is 1 mark)

Order these values from smallest to largest: 0.2, 18%, 0.205, 19/100

(Total for Question 7 is 2 marks)

Order these numbers from smallest to largest: 11/25, 43%, 0.431, 7/16

(Total for Question 8 is 3 marks)

A jumper costs £28.80. It is reduced by 15%. Work out the new price.

(Total for Question 9 is 2 marks)

Order these values from largest to smallest: 5/6, 83%, 0.835, 49/60

(Total for Question 10 is 3 marks)

One of these is not equal to the others. Identify which and explain briefly why: 3/10, 30%, 0.300, 31/101

(Total for Question 11 is 2 marks)

Sophie says that 3/8 is 40%. Is she correct? Show your working and state the correct percentage.

(Total for Question 12 is 3 marks)

Write 0.58 as a fraction in its simplest form.

(Total for Question 13 is 2 marks)

There are 30 pupils in a class. 12 are girls. Express the proportion of girls as a decimal and as a percentage.

(Total for Question 14 is 2 marks)

Priya paints 3/5 of a fence, then paints another 24% of the fence. What fraction of the fence is painted now? Give your answer in its simplest form.

(Total for Question 15 is 3 marks)

Order these numbers from smallest to largest: 7/10, 0.705, 70.6%, 71/100

(Total for Question 16 is 3 marks)

Mark scheme · EP.M98 Comparing and Ordering Fractions, Decimals and Percentages

Question 1

B1 correct option D (0.8) cao
Answer: D) 0.8 (0.8 is the largest because 0.8 = 80%, greater than 75% or 0.75 etc.)

Question 2

B1 correct option E (0.481) cao
Answer: E) 0.481

Question 3

B1 35% cao
Answer: 35%

Question 4

B1 correct option B (1/8) cao
Answer: B) 1/8

Question 5

B1 correct option E (3/7) cao
Answer: E) 3/7 (0.428... not equal to 0.4)

Question 6

B1 correct option A (0.15) cao
Answer: A) 0.15

Question 7

M1 Conversion to common form seen (eg convert each to decimals or percentages)
A1 Correct order: 18%, 19/100, 0.2, 0.205 cao
Answer: 18%, 19/100, 0.2, 0.205

Question 8

M1 Some conversions shown (eg 11/25 = 0.44, 43% = 0.43) or equivalent method
M1 Remaining conversions shown (eg 7/16 = 0.4375, 0.431 seen) or equivalent
A1 Correct order: 43%, 0.431, 7/16, 11/25 cao
Answer: 43% (0.43), 0.431, 7/16 (0.4375), 11/25 (0.44)

Question 9

M1 Method to find 15% of £28.80 seen (eg 10% = £2.88, 5% = £1.44 or 0.15 x 28.80)
A1 £24.48 cao
Answer: £24.48

Question 10

M1 Conversions seen for at least two values (eg 5/6 = 0.8333..., 49/60 = 0.8166...)
M1 Conversions for the remaining values or equivalent ordering steps
A1 Correct descending order: 0.835, 5/6, 83%, 49/60 cao
Answer: 0.835, 5/6 (0.8333...), 83% (0.83), 49/60 (0.8166...)

Question 11

M1 Work shown to compare values (eg convert 31/101 to decimal 0.3069...)
A1 Correct identification and reason: 31/101 is not equal because it is about 0.307, others are 0.3 cao
Answer: 31/101; it is approximately 0.3069 so not equal to 0.300

Question 12

M1 Convert 3/8 to a decimal or percentage (eg 3 ÷ 8 = 0.375) or equivalent
M1 Multiply decimal by 100 or show percentage form (0.375 x 100 = 37.5%)
A1 Conclusion that Sophie is incorrect and 3/8 = 37.5% cao
Answer: No. 3/8 = 0.375 = 37.5%

Question 13

M1 Correct method to write 0.58 as 58/100 or equivalent seen
A1 29/50 cao
Answer: 29/50

Question 14

M1 Method to convert fraction 12/30 to decimal seen (12 ÷ 30 = 0.4)
A1 0.4 and 40% cao
Answer: 0.4 and 40%

Question 15

M1 Convert 3/5 to percentage or fraction (3/5 = 60%) or equivalent
M1 Add 60% + 24% = 84% or add fractions correctly
A1 84% expressed in simplest fractional form = 21/25 cao
Answer: 21/25

Question 16

M1 Conversions for at least two values shown (eg 7/10 = 0.700, 71/100 = 0.71)
M1 Conversions for remaining values or equivalent comparisons
A1 Correct order: 7/10, 0.705, 70.6%, 71/100 cao
Answer: 7/10 (0.700), 0.705, 70.6% (0.706), 71/100 (0.71)

Comparing and Ordering Fractions, Decimals and Percentages - Worksheets, Questions and Revision