8th grade Math practice sheet
Arizona Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 15²?
answer box
225
Hint: 15² means 15 × 15 = 225.
Question 2
Solve for x: 6x + 11 = 59
answer box
8
Hint: Undo the addition first: 6x = 59 − 11 = 48. Then divide by 6: x = 8.
Question 3
A right triangle has legs of 63 cm and 60 cm. How long is the hypotenuse?
answer boxcm
87 cm
Hint: c² = a² + b² = 3969 + 3600 = 7569, so c = √7569 = 87 cm.
Question 4
A box is 8 cm long, 8 cm wide and 5 cm tall. What is its surface area?
answer boxcm²
288 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (8×8 + 8×5 + 8×5) = 2 × 144 = 288 cm².
Question 5
Use mental math. What is 969 ÷ 100?
969 ÷ 100 = ?
answer box
9.69
Hint: Dividing by 100 moves the decimal point 2 places to the left.
Question 6
On a scatter plot, as the x-values increase, the y-values go down. The points lie very close to a line. How would you describe the relationship?
- strong negative
- strong positive
- weak positive
- weak negative
strong negative
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
Point A(−6, −5) is translated 1 unit left and 5 units down. What are the coordinates of A′?
- (−5, −10)
- (−7, −10)
- (−11, −6)
- (−7, 0)
(−7, −10)
Hint: Right and up add to the coordinates. Left and down subtract: x changes for left and right, y changes for up and down.
Question 8
What is the measure of each exterior angle of a regular polygon with 9 sides?
answer box°
40 °
Hint: The exterior angles of any polygon add to 360°. Divide 360° by 9.
Question 9
In the relation y = 2x + 9, by how much does y change each time x increases by 1?
answer box
2
Hint: The number multiplying x is 2, so y changes by 2 for each step of 1 in x.
Question 10
Solve for x: 4x = 32
answer box
8
Hint: Divide both sides by 4: x = 32 ÷ 4 = 8.
Answer key
- 1. 225 (Squares, Cubes & Roots)
- 2. 8 (Patterns & Two-Step Equations)
- 3. 87 cm (Pythagorean Theorem)
- 4. 288 cm² (Surface Area & Volume)
- 5. 9.69 (Big, Small & Real Numbers)
- 6. strong negative (Scatter Plots & Stories)
- 7. (−7, −10) (Tessellations & Transformations)
- 8. 40 ° (Angle Detective)
- 9. 2 (Tables, Graphs & Linear Relations)
- 10. 8 (Equations with Brackets)
Want more than 10 questions?
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