Free · Printable · TEKS 7.5C · Proportionality (Geometry)
TEKS 7.5C Worksheets — Grade 7 Solve mathematical and real-world problems involving similar
1,404+ Texas-aligned practice questions on this exact Grade 7 standard. Print at home or practice online with a built-in AI tutor. No sign-up, no paywall.
What TEKS 7.5C says: Solve mathematical and real-world problems involving similar shape and scale drawings.
This page has 1,404+ practice questions tagged specifically to TEKS 7.5C. Below: a sample of 8 with answers and explanations so you can preview the worksheet before printing. Every question goes through an AI quality gate (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing.
Cognitive demand: medium. Typical question shape: Scale drawing; compute actual dimension.
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 about TEKS 7.5C
What is TEKS 7.5C?
TEKS 7.5C is a Grade 7 Proportionality (Geometry) standard from the Texas Essential Knowledge and Skills. The standard says: Solve mathematical and real-world problems involving similar shape and scale drawings.
How many TEKS 7.5C practice questions are available?
1,404+ practice questions tagged to TEKS 7.5C. All free to print or practice online. We pull a fresh set each time you print a worksheet so your kid doesn't see the same questions twice.
What kind of questions test TEKS 7.5C on the STAAR?
Scale drawing; compute actual dimension. TEKS 7.5C is a medium-cognitive-demand standard — 1-2 step questions are typical.
Where do these questions come from?
Generated by our AI pipeline, then independently quality-gated by two cross-vendor models (gpt-4o for content review, Claude Sonnet 4.5 for math verification) before publishing. Every question is tagged to TEKS 7.5C and modeled on real STAAR item shapes. No typos, no wrong answer keys, no broken explanations.