Free · Printable · TEKS 7.5A,7.5C
Free Grade 7 Similarity & Scale Worksheets
1,404+ Texas TEKS-aligned practice questions on similarity & scale. Print at home or practice online with a built-in AI tutor. No sign-up. No paywall.
Looking for similarity & scale worksheets for Grade 7? This page has 1,404+ TEKS-aligned practice questions on this exact topic, mapped to Texas TEKS 7.5A,7.5C. Every question goes through an AI quality gate before publishing — no typos, no wrong answer keys, no factually-broken explanations.
Use scale factor and similar figures to find missing measurements.
Below: a sample of 8 questions with answers and explanations so you can see what's on the worksheet before you print. Each question has the correct choice marked and a one-line "why" so kids who get it wrong understand the fix.
Similar polygons have a scale factor such that 10 maps to 30. What does 6 map to?
- 19
- 20
- 17
- 18 ✓
Why: Scale factor = 30/10 = 3. So 6 × 3 = 18.
Two triangles are similar. The smaller has sides 5 and 11. The larger has a side of 20 corresponding to 5. What is the side corresponding to 11?
- 43
- 45
- 44 ✓
- 46
Why: Scale factor = 20/5 = 4. So 11 × 4 = 44.
Two similar rectangles: the small one is 13 by 14; the big one's corresponding side to 13 is 91. Find the missing side.
- 97
- 100
- 99
- 98 ✓
Why: Scale factor = 91/13 = 7. So 14 × 7 = 98.
Two triangles are similar. The smaller has sides 8 and 5. The larger has a side of 48 corresponding to 8. What is the side corresponding to 5?
- 31
- 32
- 29
- 30 ✓
Why: Scale factor = 48/8 = 6. So 5 × 6 = 30.
Two similar rectangles: the small one is 12 by 7; the big one's corresponding side to 12 is 36. Find the missing side.
- 21 ✓
- 20
- 22
- 23
Why: Scale factor = 36/12 = 3. So 7 × 3 = 21.
Two similar rectangles: the small one is 12 by 14; the big one's corresponding side to 12 is 60. Find the missing side.
- 71
- 72
- 70 ✓
- 69
Why: Scale factor = 60/12 = 5. So 14 × 5 = 70.
A map uses the scale 1 cm = 5 km. The actual road is 105 km. How long is it on the map (cm)?
- 20
- 23
- 22
- 21 ✓
Why: Drawn length = 105 ÷ 5 = 21.
A map uses the scale 1 cm = 25 km. A road measures 4 cm on the map. How long is the actual road in km?
- 102
- 100 ✓
- 101
- 99
Why: Actual length = 4 × 25 = 100.
Common questions
Are these worksheets really free?
Yes. Free to print, free to practice online. No email, no sign-up, no paywall. We make money from optional paid features (toy redemption with real cents), not from the worksheets.
What is TEKS 7.5A,7.5C?
TEKS 7.5A,7.5C is the Grade 7 Similarity & Scale standard from the Texas Essential Knowledge and Skills. Use scale factor and similar figures to find missing measurements.
How many total questions are available?
1,404+ questions in our Grade 7 Similarity & Scale bank. Print as many 20-question worksheets as you like — each one pulls a fresh set so your kid doesn't see the same questions twice.
Where do these questions come from?
Generated by our AI pipeline, then quality-gated by two independent models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 7.5A,7.5C and modeled on real STAAR item shapes.