MathsFreePrintable
Rational Numbers Pre-Assessment
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.
Name:Date:
Rational Numbers Pre-Assessment
Answer each question. Show working where requested. Give fractions in simplest form unless the question asks otherwise.
Representing Rational Numbers
1.The fraction bar is divided into 10 equal parts. What fraction of the bar is shaded? Write your answer in simplest form.
2.Write each fraction as a decimal: 3/5, 7/20 and 9/4.
3.Convert each decimal to a percentage: 0.42, 0.075 and 1.3.
4.Which fraction is equal to 35%?
- 7/20
- 3/5
- 2/7
- 5/12
Comparing and Ordering
5.Fill each gap with <, > or =: 5/8 0.6; 7/10 68%; 3/4 0.75.
6.Arrange these values from smallest to largest: 0.58, 3/5, 55%, 0.605 and 5/8.
7.Which decimal is closest to 2/7?
- 0.14
- 0.29
- 0.4
- 0.72
Equivalent Fractions and Simplifying
8.Complete the equivalent fractions: 3/4 = /20 = 21/ = /100.
9.Write each fraction in simplest form: 14/21, 24/36 and 35/50.
10.Select every fraction that is equivalent to 3/5.
- 9/15
- 12/20
- 15/25
- 18/25
Adding and Subtracting Fractions
11.Calculate 2/5 + 1/4. Show your working and give the answer in simplest form.
12.Calculate 5/6 + 3/8. Show your working and give the answer in simplest form.
13.Calculate 7/9 − 1/3. Give the answer in simplest form.
14.Calculate 11/12 − 2/5. Show your working and give the answer in simplest form.
15.Hana uses 2/7 of a roll of ribbon for one project and 1/3 of the same roll for another. What fraction of the roll does she use altogether?
Converting Between Forms
16.Convert each improper fraction to a mixed number: 10/3, 17/5 and 22/7.
17.Convert each mixed number to an improper fraction: 2 3/5, 4 1/6 and 1 7/8.
18.Match each fraction to its decimal equivalent.
- 3/8
- 9/20
- 7/25
- 5/16
- 1/8
- 0.45
- 0.28
- 0.3125
- 0.375
- 0.125
Problem Solving and Number Sense
19.A jug holds 3/4 litre of juice. A small cup holds 1/6 litre. How many small cups of juice are in a full jug?
20.There are 32 students in a group. Three-eighths of them walk to school and one-quarter cycle. How many students walk, and how many cycle?
21.Explain what it means for two fractions to be equivalent. Include one example in your answer.
22.Which statement about rational numbers is true?
- Every fraction has a terminating decimal.
- A fraction's denominator shows how many equal parts make up one whole.
- An improper fraction is always less than 1.
- Fractions with different denominators cannot be added.
4 printable pages
Page 1
Page 2
Page 3
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
More Maths Worksheets
Year 7
Proportion and Ratios Worksheet
Free
Year 4
Probability Vocabulary Exploration
Free
Year 8
Formulae Exploration Worksheet
Free
Year 9
Integer Operations Practice
Free
Year 10
Tessellation Pattern Exploration
Free
Year 3–4
Basic Probability Exploration
Free
Year 7
Time Duration Problem Cards
Free
Year 4