MathsFreePrintable

Exploring Fractions Deeply

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Exploring Fractions Deeply worksheet preview
Name:Date:

Exploring Fractions Deeply

Read each question carefully. Show your working where needed.

Fractions of Sets

1.A jar contains 15 counters. Four are yellow and the rest are green. What fraction of the counters are yellow?
  • 4/15
  • 4/11
  • 11/15
  • 15/4
2.There are 18 apples in a basket. Six are green. Write the fraction of the apples that are green. Give your answer in simplest form or as a fraction with denominator 18.
3.A shape is divided into 10 equal parts, and 5 parts are shaded. Give two fractions equivalent to the shaded fraction.
4.A tray holds 12 muffins. Seven are blueberry. Complete the fraction showing the part that are blueberry: /

Fractions on Number Lines

5.On the number line from 0 to 1, is 7/10 closer to 0, exactly halfway, or closer to 1?
00.10.20.30.40.50.60.70.80.91
  • Closer to 0
  • Exactly halfway
  • Closer to 1
6.Put these fractions in order from smallest to largest: 1/3, 1/6, 2/3, 1/2.
00.10.20.30.40.50.60.70.80.91
7.The number line is divided into fifths. Mark the position of 3/5.
00.20.40.81

Fraction Problem Solving

8.Amir has £16. He spends 1/4 of his money on a book. How much does the book cost?
9.A cake is cut into 10 equal slices. Callum eats 2 slices and Nia eats 3 slices. What fraction of the cake remains?
10.Explain how you know that 3/6 and 1/2 have the same value. Include a drawing or a clear description of one.
11.A group has 24 children. One third walk to the park, one quarter ride bicycles, and everyone else travels by car. How many children travel by car?

4 printable pages

  • Exploring Fractions Deeply, page 1 of 4: Fractions of Sets

    Page 1

  • Exploring Fractions Deeply, page 2 of 4: Fractions on Number Lines

    Page 2

  • Exploring Fractions Deeply, page 3 of 4: Fraction Problem Solving

    Page 3

  • Exploring Fractions Deeply, page 4 of 4: 11. A group has 24 children. One third walk to the park, one quarter ride bicycles, and

    Page 4

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds