MATHEMATICS - COMPARING FRACTIONS

Comparing Fractions Worksheet

  • 10 questions
  • Understand the relative size of quantities to compare and order decimals and fractions, using the symbols =, ≠, > and <.
  • Difficulty: Medium
  • Board: CAIE
  • Attempt online on the examination portal

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

Which symbol correctly compares 7/12 and 0.6?

  1. A) 7/12>0.6
  2. B) 7/12<0.6
  3. C) 7/12 = 0.6
  4. D) 7/12 ≠ 0.6 but neither quantity is greater

Q2.

Which option orders 3/4, 0.72, and 5/8 from greatest to least?

  1. A) 3/4>5/8>0.72
  2. B) 3/4>0.72>5/8
  3. C) 0.72>3/4>5/8
  4. D) 5/8>0.72>3/4

Q3.

Which comparison is correct?

  1. A) 11/15<0.7
  2. B) 11/15>0.7
  3. C) 11/15 = 0.75
  4. D) 11/15 = 0.7

Q4.

Which fraction can replace the box to make 0.45<square<1/2 true?

  1. A) 1/2
  2. B) 2/5
  3. C) 47/100
  4. D) 9/20

Q5.

Which fraction makes 0.375 = square true?

  1. A) 2/5
  2. B) 3/8
  3. C) 5/16
  4. D) 7/20

Q6.

Choose the correct comparison between 13/20 and 0.64.

  1. A) 13/20>0.64
  2. B) 13/20 ≠ 0.64 but neither quantity is greater
  3. C) 13/20<0.64
  4. D) 13/20 = 0.64

Q7.

Which pair of quantities is equal?

  1. A) 5/8 = 0.65
  2. B) 4/5 = 0.75
  3. C) 9/25 = 0.39
  4. D) 7/20 = 0.35

Q8.

Which option orders 0.58, 3/5, and 7/12 from least to greatest?

  1. A) 0.58<7/12<3/5
  2. B) 3/5<7/12<0.58
  3. C) 7/12<0.58<3/5
  4. D) 0.58<3/5<7/12

Q9.

The figure shows two equal-length fraction strips labelled A and B. Which symbol correctly compares the shaded portions?

Diagram for question 9: The figure shows two equal-length fraction strips labelled A and B. Which symbol correctly compares the…
  1. A) A = B
  2. B) A<B
  3. C) A>B
  4. D) A ≠ B but neither shaded portion is greater

Q10.

The figure shows points P and Q on a number line. Which statement correctly orders P, 3/8, and Q?

Diagram for question 10: The figure shows points P and Q on a number line. Which statement correctly orders P, 3/8, and Q?
  1. A) 3/8<P<Q
  2. B) Q<3/8<P
  3. C) P<Q<3/8
  4. D) P<3/8<Q

What this assessment covers

Concepts Tested

  • comparing fractions
  • Understand the relative size of quantities to compare and order decimals and fractions, using the symbols =, ≠, > and <.

Question Mix

  • Medium questions included

Skills you build

  • Understand

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