7th grade Math practice sheet
Texas Essential Knowledge and Skills (TEKS) · from Gradelings · Name: ______________________
Question 1
Kenji is scuba diving at -20 m (below the surface). Kenji swims up 6 m, then down 8 m. What integer gives Kenji's new position?
answer boxm
-22 m
Hint: Up is + and down is −: -20 + 6 − 8 = -22. Work left to right.
Question 2
What is −1/2 × 12?
- 6
- -6
- -24
- -5
-6
Hint: 12 ÷ 2 = 6. One factor is negative, so the answer is negative.
Question 3
What is 2/5 ÷ 3/6?
2/5 ÷ 3/6
- 4/5
- 1 1/4
- 1/5
4/5
Hint: Keep the first fraction, flip the second, and multiply.
Question 4
Put these decimals in order from least to greatest.
- 0.45
- 0.054
- 0.04
- 0.54
- 0.459
0.04 → 0.054 → 0.45 → 0.459 → 0.54
Hint: Compare tenths first, then hundredths, then thousandths. Writing them with the same number of places helps: 0.040, 0.054, 0.450, 0.459, 0.540.
Question 5
What is the constant of proportionality (y ÷ x) in the table?
x y 2 18 5 45 8 72 - 7
- 18
- 9
- 11
9
Hint: 18 ÷ 2 = 9.
Question 6
A person is 150 cm tall at age 10 and 160 cm tall at age 11. Is height proportional to age?
- Yes, because both go up
- No, height does not double when age doubles
- Yes, because it grew 10 cm
No, height does not double when age doubles
Hint: In a proportional relationship, doubling one amount doubles the other, and the ratio stays the same.
Question 7
Write 1/4 as a decimal.
answer box
0.25
Hint: Make the denominator a power of ten (10, 100, 1000…): 1/4 = 25/100 = 0.25. (Or divide 1 ÷ 4.)
Question 8
A room is drawn as a 5 in by 3 in rectangle. The scale is 1 in = 10 ft. What is the real area?
- 1501 ft²
- 15 ft²
- 150 ft²
- 1500 ft²
1500 ft²
Hint: Real sides: 50 ft and 30 ft. Area = 50 × 30.
Question 9
A circle has a diameter of 45 cm. What is its circumference? Use 3.14 for π and round to one decimal place.
⭕d = 45 cmanswer boxcm
141.3 cm
Hint: C = π × d ≈ 3.14 × 45 = 141.3. Rounded to one decimal place: 141.3 cm.
Question 10
A cube has edges 3 cm long. What is its volume?
- 27 cm³
- 36 cm³
- 9 cm³
- 54 cm³
27 cm³
Hint: All three dimensions are 3 cm: V = 3 × 3 × 3 = 27 cm³. (9 is the area of one face.)
Answer key
- 1. -22 m (Add & Subtract Integers)
- 2. -6 (Multiply & Divide Signed Numbers)
- 3. 4/5 (Fractions)
- 4. 0.04 → 0.054 → 0.45 → 0.459 → 0.54 (Decimal Operations)
- 5. 9 (Proportional Relationships)
- 6. No, height does not double when age doubles (Percents & Proportions)
- 7. 0.25 (Fractions, Decimals & Percents)
- 8. 1500 ft² (Scale Drawings)
- 9. 141.3 cm (Circles)
- 10. 27 cm³ (Volume)
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