7th grade Math practice sheet
Minnesota K-12 Academic Standards · from Gradelings · Name: ______________________
Question 1
Start at 1 and add (-4). Where do you land?
- 5
- -4
- 3
- -3
-3
Hint: Adding a negative number moves left. From 1, jump 4 to the left to land on -3.
Question 2
Apples cost $5.90 per kilogram. How much do 1.7 kg of apples cost, in dollars?
answer box
10.03
Hint: Multiply the price by the mass: 5.9 × 1.7. Without decimals that's 59 × 17 = 1003; there are 2 decimal places in total, so the cost is $10.03.
Question 3
Write 60% as a fraction. (Simplify it if you can.)
60%answer box
3/5
Hint: 60% means 60 out of 100, so it's 60/100. Divide the top and bottom by 20: 3/5.
Question 4
Is x = 6 a solution of 8x − 26 = 30?
8x − 26 = 30
- Yes
- No
No
Hint: Substitute x = 6: 8 × 6 − 26 = 22. That isn't 30, so x = 6 is not a solution.
Question 5
A circle has a diameter of 10 cm. Using 3.14 for π, what is its area?
⭕d = 10 cm- 314 cm²
- 78.5 cm²
- 15.7 cm²
- 31.4 cm²
78.5 cm²
Hint: First find the radius: 10 ÷ 2 = 5. Then A = 3.14 × 5 × 5 = 78.5 cm². (Using the diameter instead of the radius makes the area 4 times too big.)
Question 6
Suppose you flip a coin and roll a standard die (1 to 6), and repeat this 240 times. About how many times would you expect to get tails and a number less than 3?
answer box
40
Hint: P(tails and a number less than 3) = 1/2 × 2/6 = 1/6. Expected: 1/6 × 240 = 40 times.
Question 7
A jug is 2/3 full. You pour out 2/4 of what is in it. What fraction of the whole jug did you pour out?
- 4/7
- 1/3
- 1/2
1/3
Hint: Find a fraction OF a fraction. Multiply.
Question 8
Which percent is equal to 2/5?
- 40%
- 75%
- 20%
40%
Hint: Divide the top by the bottom to get a decimal, then move the decimal two places for a percent.
Question 9
What is 6y − 5y + 2y?
6y − 5y + 2y
- 13y
- 3y
- -1y
3y
Hint: Work from left to right. All the terms have the same letter.
Question 10
You draw a card, put it back, then draw again. Are the two draws independent or dependent?
- dependent
- independent
independent
Hint: Independent: the first event does not change the second. Dependent: it does.
Answer key
- 1. -3 (Add & Subtract Integers)
- 2. 10.03 (Decimal Operations)
- 3. 3/5 (Fractions, Decimals & Percents)
- 4. No (Two-Step Equations)
- 5. 78.5 cm² (Circles)
- 6. 40 (Probability)
- 7. 1/3 (Fractions)
- 8. 40% (Percents & Proportions)
- 9. 3y (Algebra Moves)
- 10. independent (Dependent Events)
Want more than 10 questions?
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