MathsFreePrintable
Algebra and Measurement Formulae
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.
Algebra and Measurement Formulae
🎯 WALT: We Are Learning To substitute values into algebraic formulae and rearrange them
📚 Part 1: Formula Substitution
1. The formula for the area of a rectangle is A = l × w. Find the area when l = 8 metres and w = 5 metres.
2. The formula for the perimeter of a rectangle is P = 2(l + w). Calculate the perimeter when l = 12 cm and w = 7 cm.
3. The volume of a rectangular prism is V = l × w × h. Find V when l = 6 m, w = 4 m, and h = 3 m.
4. Using the formula C = 2πr for the circumference of a circle, calculate C when r = 10 cm. (Use π = 3.14)
🔄 Part 2: Rearranging Formulae
5. Rearrange the formula A = l × w to make w the subject.
A = l × w
w = ____________
6. Rearrange P = 2(l + w) to make l the subject.
7. From V = l × w × h, make h the subject of the formula.
8. A rectangular garden has an area of 48 square metres and a length of 8 metres. Use your rearranged formula from question 5 to find the width.
🌟 Part 3: Problem Solving Challenge
9. A storage container has a volume of 120 cubic metres. If the length is 10 metres and the width is 4 metres, what is the height?
Step 1: Write the formula: ________________
Step 2: Substitute known values: ________________
Step 3: Solve for h: ________________
10. Extension Activity: A Māori wharenui (meeting house) has a rectangular floor plan. The perimeter is 60 metres and the length is twice the width. Find the dimensions.
Hint: Let w = width, then length = 2w
11. Reflection: Explain in your own words why rearranging formulae is useful in real-life measurement problems.
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
