8th grade Math practice sheet
Washington State Learning Standards · from Gradelings · Name: ______________________
Question 1
Which number is rational?
- √2
- √3
- 0.25
- π
0.25
Hint: A rational number can be written as a fraction of two integers. Square roots of perfect squares, like √49 = 7, are rational.
Question 2
What is 15²?
answer box
225
Hint: 15² means 15 × 15 = 225.
Question 3
Solve for x: 4x + 5 = 37
answer box
8
Hint: Undo the addition first: 4x = 37 − 5 = 32. Then divide by 4: x = 8.
Question 4
Solve for x: 6(x − 1) = -30
answer box
-4
Hint: Divide both sides by 6: x − 1 = -5. Then add 1: x = -4. Check: 6(-4 − 1) = -30.
Question 5
In the relation y = 6x − 3, by how much does y change each time x increases by 1?
answer box
6
Hint: The number multiplying x is 6, so y changes by 6 for each step of 1 in x.
Question 6
Squares tessellate because each angle is 90°. How many squares meet at each point?
- 6
- 4
- 3
- 8
4
Hint: Divide 360° by 90°.
Question 7
Which of these keeps a shape congruent?
- stretching it taller
- sliding it
- shrinking it to half its size
- enlarging it to double its size
sliding it
Hint: Slides, flips and turns move a shape without changing its size or shape.
Question 8
A transversal crosses two parallel lines. One angle measures 81°. How many degrees is a vertically opposite angle to it?
answer box°
81 °
Hint: These angles are equal when the lines are parallel.
Question 9
A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?
answer boxcm
5 cm
Hint: c² = a² + b² = 9 + 16 = 25, so c = √25 = 5 cm.
Question 10
A box is 6 cm long, 5 cm wide and 3 cm tall. What is its surface area?
answer boxcm²
126 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (6×5 + 6×3 + 5×3) = 2 × 63 = 126 cm².
Answer key
- 1. 0.25 (Big, Small & Real Numbers)
- 2. 225 (Squares, Cubes & Roots)
- 3. 8 (Patterns & Two-Step Equations)
- 4. -4 (Equations with Brackets)
- 5. 6 (Tables, Graphs & Linear Relations)
- 6. 4 (Tessellations & Transformations)
- 7. sliding it (Congruent Shapes)
- 8. 81 ° (Angle Detective)
- 9. 5 cm (Pythagorean Theorem)
- 10. 126 cm² (Surface Area & Volume)
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