BitWithBite
Mathematics Worksheet
🔁 Proportion
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After this worksheet you can
Solve proportions by cross-multiplication.Use direct proportion.Solve unit-rate problems.Recognise proportional relationships.📚 Quick Recap
A proportion states that two ratios are equal. Proportions let us solve for an unknown quantity when we know a relationship holds.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Solve 4/9 = x/45:
2Solve 7/x = 21/30:
3If 10 L of paint cost $50, 4 L cost:
4A car travels 150 km in 3 h; in 5 h it goes:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5In a proportion, the products are equal.
6Solving 4/9 = x/45 gives x = .
7Solve for x: 4/9 = x/45.
8Solve for x: 7/x = 21/30.
9If 10 L of paint cost $50, how much do 4 L cost?
🚀 Section C · Challenge ● CHALLENGE 5
10A car travels 150 km in 3 hours. How far in 5 hours at the same speed?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-A | 5 cross 6 20 7 = x = 20 8 = x = 10 9 = $20 | 10 = 250 km