7th grade Math practice sheet
Arizona Academic Standards · from Gradelings · Name: ______________________
Question 1
What is -1 − (-9)?
-1 − (-9) = ?
answer box
8
Hint: Subtracting is the same as adding the opposite: -1 − (-9) = -1 + 9 = 8.
Question 2
Use the order of operations: what is 1.3 × 6 − 4.2?
1.3 × 6 − 4.2
- 3.6
- 2.34
- 12
- 3.7
3.6
Hint: Multiply before subtracting: 1.3 × 6 = 7.8. Then 7.8 − 4.2 = 3.6.
Question 3
What percent of the bar is shaded?
answer box%
80 %
Hint: 16 of the 20 equal parts are shaded: 16/20. 16/20 = 80/100 = 0.8 = 80%.
Question 4
To solve 3x − 22 = 11, how do you undo the − 22?
- Add 22 to the left side only
- Subtract 22 from both sides
- Multiply both sides by 22
- Add 22 to both sides
Add 22 to both sides
Hint: Use the opposite operation, on both sides so the equation stays balanced. The opposite of subtracting 22 is adding 22: 3x = 33.
Question 5
A bike wheel has a diameter of 80 cm. How far does the bike roll in one full turn of the wheel? Use 3.14 for π and round to one decimal place.
🚲d = 80 cmanswer boxcm
251.2 cm
Hint: One turn rolls one circumference: 3.14 × 80 = 251.2 cm.
Question 6
1000 cm³ holds 1 L. How many liters of water fill a fish tank 40 cm × 10 cm × 30 cm?
answer boxL
12 L
Hint: Volume: 40 × 10 × 30 = 12000 cm³. Divide by 1000 to change to liters: 12 L.
Question 7
You roll a standard die (1 to 6) and spin a spinner with 5 equal sections. How many different outcomes are possible?
answer box
30
Hint: Each of the 6 results of the first event can pair with each of the 5 results of the second: 6 × 5 = 30 outcomes. A tree diagram or table shows them all.
Question 8
What is 1/2 ÷ 2/3?
1/2 ÷ 2/3
- 3/4
- 1/3
- 1 1/3
3/4
Hint: Keep the first fraction, flip the second, and multiply.
Question 9
Which fraction is equal to 25%?
- 1/4
- 2/5
- 3/20
1/4
Hint: Write the percent as a fraction out of 100, then simplify.
Question 10
Which value of n makes 2n − 3 < 3 true?
2n − 3 < 3
- 0
- 5
- 3
0
Hint: Put each choice in for n and check.
Answer key
- 1. 8 (Add & Subtract Integers)
- 2. 3.6 (Decimal Operations)
- 3. 80 % (Fractions, Decimals & Percents)
- 4. Add 22 to both sides (Two-Step Equations)
- 5. 251.2 cm (Circles)
- 6. 12 L (Volume)
- 7. 30 (Probability)
- 8. 3/4 (Fractions)
- 9. 1/4 (Percents & Proportions)
- 10. 0 (Algebra Moves)
Want more than 10 questions?
In Gradelings the questions change every time and adjust to your child, with hints and kind feedback. See all math units.