8th grade Math practice sheet
Maine Learning Results · from Gradelings · Name: ______________________
Question 1
What is 10²?
answer box
100
Hint: 10² means 10 × 10 = 100.
Question 2
Solve for x: 2x + 6 = 30
answer box
12
Hint: Undo the addition first: 2x = 30 − 6 = 24. Then divide by 2: x = 12.
Question 3
A right triangle has legs of 12 cm and 16 cm. How long is the hypotenuse?
answer boxcm
20 cm
Hint: c² = a² + b² = 144 + 256 = 400, so c = √400 = 20 cm.
Question 4
A box is 2 cm long, 2 cm wide and 6 cm tall. What is its surface area?
answer boxcm²
56 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (2×2 + 2×6 + 2×6) = 2 × 28 = 56 cm².
Question 5
Tap the numbers from least to greatest.
- −√5
- −√3
- √10
- 1.5
−√5 → −√3 → 1.5 → √10
Hint: Estimate each square root: √2 is about 1.4, √5 about 2.2, √10 about 3.2. Negative numbers come first.
Question 6
On a scatter plot, as the x-values increase, the y-values go up too. The points are loosely scattered around a line. How would you describe the relationship?
- strong negative
- weak negative
- weak positive
- strong positive
weak positive
Hint: Positive means both go up together; negative means one goes up as the other goes down. Strong means the points are close to a line.
Question 7
Which rule describes a reflection in the y-axis?
- (x, y) → (y, x)
- (x, y) → (−x, y)
- (x, y) → (x, −y)
- (x, y) → (−x, −y)
(x, y) → (−x, y)
Hint: A reflection in the y-axis keeps the height the same and flips left and right.
Question 8
What is the measure of each exterior angle of a regular polygon with 12 sides?
answer box°
30 °
Hint: The exterior angles of any polygon add to 360°. Divide 360° by 12.
Question 9
The table shows a linear relation. What number goes in place of the ?
Table of values x y 0 -2 1 3 2 8 3 13 4 ? answer box
18
Hint: Look at how y changes each time x goes up by 1. It changes by 5, so y = 18 when x = 4.
Question 10
Solve for x: 2(x + 4) = 14
answer box
3
Hint: Divide both sides by 2: x + 4 = 7. Then subtract 4: x = 3. Check: 2(3 + 4) = 14.
Answer key
- 1. 100 (Squares, Cubes & Roots)
- 2. 12 (Patterns & Two-Step Equations)
- 3. 20 cm (Pythagorean Theorem)
- 4. 56 cm² (Surface Area & Volume)
- 5. −√5 → −√3 → 1.5 → √10 (Big, Small & Real Numbers)
- 6. weak positive (Scatter Plots & Stories)
- 7. (x, y) → (−x, y) (Tessellations & Transformations)
- 8. 30 ° (Angle Detective)
- 9. 18 (Tables, Graphs & Linear Relations)
- 10. 3 (Equations with Brackets)
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