7th grade Math practice sheet
Alaska content standards · from Gradelings · Name: ______________________
Question 1
Which expression has the same value as 11 − (-3)?
- 11 + (-3)
- 11 + 3
- -11 + (-3)
- -3 − 11
11 + 3
Hint: Subtracting a number is the same as adding its opposite. The opposite of -3 is 3, so 11 − (-3) = 11 + 3 = 14.
Question 2
Which is the best estimate for 40.3 × 5.2?
- 20
- 200
- 45
- 2000
200
Hint: Round each number to a friendly one: 40.3 ≈ 40 and 5.2 ≈ 5. Then 40 × 5 = 200.
Question 3
Write 12/25 as a decimal.
answer box
0.48
Hint: Make the denominator a power of ten (10, 100, 1000…): 12/25 = 48/100 = 0.48. (Or divide 12 ÷ 25.)
Question 4
Solve for x.
48 = 3x + 18
answer box
10
Hint: The x can be on either side. Subtract 18 on both sides: 30 = 3x. Then divide by 3: x = 10.
Question 5
A circle's circumference is 34.54 cm. What is its diameter? (Use 3.14 for π.)
answer boxcm
11 cm
Hint: C = 3.14 × d, so d = C ÷ 3.14 = 34.54 ÷ 3.14 = 11 cm.
Question 6
Which container holds more? (Use 3.14 for π.)
Container Shape Size Can Cylinder r = 3 cm, h = 11 cm Box Rectangular prism 5 cm × 6 cm × 15 cm - They hold the same amount
- The box
- The can
The box
Hint: Can: 3.14 × 3 × 3 × 11 = 310.86 cm³. Box: 5 × 6 × 15 = 450 cm³. The box holds more.
Question 7
You flip a coin and roll a standard die (1 to 6). What is the probability of getting heads and a 1? Give a fraction.
answer box
1/12
Hint: The events are independent, so multiply: P(heads) × P(a 1) = 1/2 × 1/6 = 1/12.
Question 8
What is 2/3 ÷ 2/6?
2/3 ÷ 2/6
- 1/2
- 2/9
- 2
2
Hint: Keep the first fraction, flip the second, and multiply.
Question 9
A taxi charges $4 to start, plus $2 for every kilometer. Is the cost proportional to the distance?
- No, there is a starting fee
- Yes, because the starting fee is small
- Yes, because it goes up by $2 each time
No, there is a starting fee
Hint: In a proportional relationship, doubling one amount doubles the other, and the ratio stays the same.
Question 10
Which value of n makes 2n − 3 < 9 true?
2n − 3 < 9
- 8
- 5
- 6
5
Hint: Put each choice in for n and check.
Answer key
- 1. 11 + 3 (Add & Subtract Integers)
- 2. 200 (Decimal Operations)
- 3. 0.48 (Fractions, Decimals & Percents)
- 4. 10 (Two-Step Equations)
- 5. 11 cm (Circles)
- 6. The box (Volume)
- 7. 1/12 (Probability)
- 8. 2 (Fractions)
- 9. No, there is a starting fee (Percents & Proportions)
- 10. 5 (Algebra Moves)
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