8th grade Math practice sheet
Alaska content standards · from Gradelings · Name: ______________________
Question 1
What is 14²?
answer box
196
Hint: 14² means 14 × 14 = 196.
Question 2
Solve for x: 5x + 12 = 67
answer box
11
Hint: Undo the addition first: 5x = 67 − 12 = 55. Then divide by 5: x = 11.
Question 3
A right triangle has legs of 20 cm and 21 cm. How long is the hypotenuse?
answer boxcm
29 cm
Hint: c² = a² + b² = 400 + 441 = 841, so c = √841 = 29 cm.
Question 4
A box is 10 cm long, 5 cm wide and 5 cm tall. What is its surface area?
answer boxcm²
250 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (10×5 + 10×5 + 5×5) = 2 × 125 = 250 cm².
Question 5
Write 0.00061 in scientific notation (a number from 1 up to 10, times a power of 10).
- 6.1 × 10⁻⁴
- 6.1 × 10⁴
- 6.1 × 10⁻³
- 61 × 10⁻⁵
6.1 × 10⁻⁴
Hint: Count how many places the decimal point moves to get a number from 1 to 10. Moving right makes the exponent negative.
Question 6
The points on a scatter plot are spread out with no pattern. How would you describe the relationship?
- strong negative
- weak positive
- strong positive
- none
none
Hint: If one variable does not predict the other, there is no relationship.
Question 7
Squares tessellate because each angle is 90°. How many squares meet at each point?
- 8
- 6
- 3
- 4
4
Hint: Divide 360° by 90°.
Question 8
A transversal crosses two parallel lines. One angle measures 78°. How many degrees is an alternate interior angle to it?
answer box°
78 °
Hint: These angles are equal when the lines are parallel.
Question 9
A graph shows the number of tickets bought (1, 2, 3 and so on) and the total cost. Should the points be joined with a line?
- Yes. Every point on the line is a possible number of tickets.
- Yes. Graphs of linear relations must always be joined.
- No. You can only buy a whole number of tickets, so only separate points make sense.
- No. A linear relation cannot be graphed.
No. You can only buy a whole number of tickets, so only separate points make sense.
Hint: Discrete data counts whole items, so values between the points are not possible.
Question 10
Solve for x: x ÷ 2 = -2
answer box
-4
Hint: Multiply both sides by 2: x = -2 × 2 = -4.
Answer key
- 1. 196 (Squares, Cubes & Roots)
- 2. 11 (Patterns & Two-Step Equations)
- 3. 29 cm (Pythagorean Theorem)
- 4. 250 cm² (Surface Area & Volume)
- 5. 6.1 × 10⁻⁴ (Big, Small & Real Numbers)
- 6. none (Scatter Plots & Stories)
- 7. 4 (Tessellations & Transformations)
- 8. 78 ° (Angle Detective)
- 9. No. You can only buy a whole number of tickets, so only separate points make sense. (Tables, Graphs & Linear Relations)
- 10. -4 (Equations with Brackets)
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