MathsFreePrintable

Find the Whole Proportionally

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.

Find the Whole Proportionally worksheet preview

Find the Whole Proportionally

Part 1: Find the Whole

WALT: We Are Learning To find 100% when we know a fraction, decimal or percentage of a quantity.

Success criteria: I can identify the known proportion, use a proportional strategy, and check that my answer is reasonable.

1. 75% of a number is 24. What is the whole number?

18

30

32

36

2. 0.4 of a number is 18. What is the whole number?

22

40

45

72

3. Three-fifths of a number is 27. What is the whole number?

15

36

45

54

4. Which quantity is greater: 35% of $80 or 0.4 of $60? Show a quick calculation.

Part 2: Show Your Proportional Thinking

Use a proportion, equivalent fractions, a unitary method, or a percentage strategy. Include your working.

5. 60% of a number is 42. Find the whole number.
6. Seven-eighths of a number is 35. Find the whole number.
7. 0.25 of a number is 14. Find the whole number.
8. $45 is 30% of the original price of an item. What was the original price?

Part 3: Apply and Explain

9. Three-fifths of the students in a class walk to school. If 18 students walk, how many students are in the class altogether?
10. A shop has sold 65% of its concert tickets. It has sold 39 tickets. How many tickets were available originally? Explain how you know.

Support and extension

Dyslexia-friendly option: Read each question aloud, underline the known proportion and quantity, and use a calculator after setting up the proportion. You may record your thinking with labelled diagrams or short steps.

For extra support: Convert the proportion to a unit fraction or 1%, then build up to 100%.

Extension: Write a new “find the whole” problem using a decimal, fraction or percentage. Solve it and explain why your answer is correct.

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