7th grade Math practice sheet
California Content Standards · from Gradelings · Name: ______________________
Question 1
What is 3 + (-18)?
3 + (-18) = ?
- 21
- -15
- -21
- 15
-15
Hint: Different signs: subtract the sizes, 18 − 3 = 15. Keep the sign of -18, the number farther from zero. The answer is -15.
Question 2
What is 18.63 + 11.4?
18.63 + 11.4 = ?
answer box
30.03
Hint: Line up the decimal points and give every number two decimal places: 18.63 + 11.40. Add column by column: 30.03.
Question 3
What percent of the bar is shaded?
answer box%
50 %
Hint: 2 of the 4 equal parts are shaded: 2/4. 2/4 = 50/100 = 0.5 = 50%.
Question 4
Which equation matches this sentence? "Nine times a number, plus 7, equals 25."
- 9(n + 7) = 25
- 9n − 7 = 25
- 7n + 9 = 25
- 9n + 7 = 25
9n + 7 = 25
Hint: "Nine times a number" is 9n. "Plus 7" adds 7 after multiplying: 9n + 7. "Equals 25" finishes it: 9n + 7 = 25.
Question 5
A circle has a diameter of 19 cm. What is its circumference? Use 3.14 for π and round to one decimal place.
⭕d = 19 cmanswer boxcm
59.7 cm
Hint: C = π × d ≈ 3.14 × 19 = 59.66. Rounded to one decimal place: 59.7 cm.
Question 6
A cylinder's circular base has an area of 78.5 cm². The cylinder is 4 cm tall. What is its volume?
- 985.96 cm³
- 314 cm³
- 82.5 cm³
- 157 cm³
314 cm³
Hint: Volume = base area × height = 78.5 × 4 = 314 cm³. The base area already includes π, so don't multiply by 3.14 again.
Question 7
You spin this spinner (3 equal sections) and flip a coin. What is P(blue and tails)?
- 5/6
- 1/6
- 2/5
- 1/3
1/6
Hint: P(blue) = 1/3 and P(tails) = 1/2. The events are independent, so multiply: 1/3 × 1/2 = 1/6.
Question 8
What is 1/8 × 1/2?
1/8 × 1/2
- 1/10
- 1/16
- 1/5
1/16
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 9
Increase 280 by 5%. What is the new number?
answer box
294
Hint: Find 5% of 280, then add it to 280.
Question 10
Evaluate 4.7x + 4.2 when x = 4.
4.7x + 4.2, x = 4
answer box
23
Hint: Put 4 in for x. Multiply first, then add.
Answer key
- 1. -15 (Add & Subtract Integers)
- 2. 30.03 (Decimal Operations)
- 3. 50 % (Fractions, Decimals & Percents)
- 4. 9n + 7 = 25 (Two-Step Equations)
- 5. 59.7 cm (Circles)
- 6. 314 cm³ (Volume)
- 7. 1/6 (Probability)
- 8. 1/16 (Fractions)
- 9. 294 (Percents & Proportions)
- 10. 23 (Algebra Moves)
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