7th grade Math practice sheet
Maine Learning Results · from Gradelings · Name: ______________________
Question 1
The high today was 3°C and the low was -6°C. How many degrees warmer was the high than the low?
answer box°C
9 °C
Hint: Find high − low: 3 − (-6) = 3 + 6 = 9. On the number line that's 6 steps from -6 up to 0, plus 3 more up to 3.
Question 2
Use the order of operations: what is 5.9 + 2.4 × 4?
5.9 + 2.4 × 4
- 15.5
- 33.2
- 15.6
- 26
15.5
Hint: Multiply before adding: 2.4 × 4 = 9.6. Then 5.9 + 9.6 = 15.5.
Question 3
Write 45% as a fraction. (Simplify it if you can.)
45%answer box
9/20
Hint: 45% means 45 out of 100, so it's 45/100. Divide the top and bottom by 5: 9/20.
Question 4
Solve: 5n − 28 = 37
- 12
- 65
- 14
- 13
13
Hint: Undo the − 28 first: add 28 to both sides to get 5n = 65. Then divide both sides by 5: n = 13.
Question 5
If you double a circle's diameter, what happens to its circumference?
- It grows by 3.14
- It becomes 4 times as long
- It stays the same
- It doubles
It doubles
Hint: C = π × d. Double the d and you double the C.
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 × 7 cm × 11 cm - The box
- They hold the same amount
- The can
The box
Hint: Can: 3.14 × 3 × 3 × 11 = 310.86 cm³. Box: 5 × 7 × 11 = 385 cm³. The box holds more.
Question 7
Sam flips a coin 10 times and gets 7 heads. What does this show?
- Experimental results can differ from the theoretical probability
- The coin will land heads 70% of the time from now on
- The next flip is more likely to be tails
- The theoretical probability of heads is 7/10
Experimental results can differ from the theoretical probability
Hint: Theoretical P(heads) is still 1/2. Ten flips is a small experiment, so 7 heads isn't surprising, and the coin has no memory.
Question 8
What is 2/4 × 2/4?
2/4 × 2/4
- 5/16
- 1/4
- 1/2
1/4
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 9
Increase 51 by 100%. What is the new number?
answer box
102
Hint: Find 100% of 51, then add it to 51.
Question 10
Which shows the solution to n > 2 on a number line?
- an open circle at 2 with an arrow pointing left
- a closed circle at 2 with an arrow pointing right
- an open circle at 2 with an arrow pointing right
an open circle at 2 with an arrow pointing right
Hint: An open circle leaves out the number. A closed circle includes it. The arrow points the way the solutions go.
Answer key
- 1. 9 °C (Add & Subtract Integers)
- 2. 15.5 (Decimal Operations)
- 3. 9/20 (Fractions, Decimals & Percents)
- 4. 13 (Two-Step Equations)
- 5. It doubles (Circles)
- 6. The box (Volume)
- 7. Experimental results can differ from the theoretical probability (Probability)
- 8. 1/4 (Fractions)
- 9. 102 (Percents & Proportions)
- 10. an open circle at 2 with an arrow pointing right (Algebra Moves)
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