8th grade Math practice sheet
New York State Learning Standards · from Gradelings · Name: ______________________
Question 1
What is 13²?
answer box
169
Hint: 13² means 13 × 13 = 169.
Question 2
Solve for x: 6x − 11 = 37
answer box
8
Hint: Undo the subtraction first: 6x = 37 + 11 = 48. Then divide by 6: x = 8.
Question 3
A right triangle has legs of 42 cm and 40 cm. How long is the hypotenuse?
answer boxcm
58 cm
Hint: c² = a² + b² = 1764 + 1600 = 3364, so c = √3364 = 58 cm.
Question 4
A box is 10 cm long, 10 cm wide and 3 cm tall. What is its surface area?
answer boxcm²
320 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (10×10 + 10×3 + 10×3) = 2 × 160 = 320 cm².
Question 5
Which quantity is most likely written with a large positive exponent in scientific notation?
- the mass of a grain of sand, in kilograms
- the distance light travels in a year, in meters
- the thickness of a soap bubble, in meters
- the width of a pencil, in meters
the distance light travels in a year, in meters
Hint: Very large numbers use large positive exponents. Light travels about 9,460,000,000,000,000 m in a year.
Question 6
Which variable is continuous?
- the height of a plant
- the number of plants on a shelf
- the number of flowers that open
- the number of leaves on a plant
the height of a plant
Hint: Heights can be measured to any precision, so they are continuous.
Question 7
Point A(−2, 6) is rotated 180° about the origin. What are the coordinates of A′?
- (2, −6)
- (−6, −2)
- (6, 2)
- (2, 6)
(2, −6)
Hint: Turn the grid in your mind. A 180° turn changes both signs. A 90° turn swaps the coordinates and changes one sign.
Question 8
A transversal crosses two parallel lines. One angle measures 80°. How many degrees is a corresponding angle to it?
answer box°
80 °
Hint: These angles are equal when the lines are parallel.
Question 9
Triangle B is an enlargement of triangle A. A side of 8 cm on triangle A matches a side of 16 cm on triangle B. What is the scale factor?
answer box
2
Hint: Scale factor = new length ÷ original length = 16 ÷ 8 = 2.
Question 10
A graph shows the number of team shirts bought (1, 2, 3 and so on) and the total cost. Should the points be joined with a line?
- No. You can only buy a whole number of team shirts, so only separate points make sense.
- No. A linear relation cannot be graphed.
- Yes. Every point on the line is a possible number of team shirts.
- Yes. Graphs of linear relations must always be joined.
No. You can only buy a whole number of team shirts, so only separate points make sense.
Hint: Discrete data counts whole items, so values between the points are not possible.
Answer key
- 1. 169 (Squares, Cubes & Roots)
- 2. 8 (Patterns & Two-Step Equations)
- 3. 58 cm (Pythagorean Theorem)
- 4. 320 cm² (Surface Area & Volume)
- 5. the distance light travels in a year, in meters (Big, Small & Real Numbers)
- 6. the height of a plant (Scatter Plots & Stories)
- 7. (2, −6) (Tessellations & Transformations)
- 8. 80 ° (Angle Detective)
- 9. 2 (Similarity & Scale)
- 10. No. You can only buy a whole number of team shirts, so only separate points make sense. (Tables, Graphs & Linear Relations)
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