8th grade Math practice sheet
Texas Essential Knowledge and Skills (TEKS) · from Gradelings · Name: ______________________
Question 1
Use mental math. What is 613 ÷ 100?
613 ÷ 100 = ?
answer box
6.13
Hint: Dividing by 100 moves the decimal point 2 places to the left.
Question 2
What is 14²?
answer box
196
Hint: 14² means 14 × 14 = 196.
Question 3
In a pinwheel tiling, each tile is a copy of the one before it, turned around a center point. Which transformation is that?
- translation
- dilation
- rotation
- reflection
rotation
Hint: A rotation turns a shape around a point.
Question 4
Point A(-5, 6) is rotated 90° counterclockwise about the origin. What are the coordinates of A′?
- (5, -6)
- (-5, -6)
- (6, 5)
- (-6, -5)
(-6, -5)
Hint: A quarter turn swaps the coordinates and changes the sign of one of them. Picture the point turning on a grid.
Question 5
A graph of pay against hours worked is a straight line through (0, 0) and (6, 30). What is the slope, and what does it mean?
- $5 per hour
- $30 per hour
- $3 per hour
- $6 per hour
$5 per hour
Hint: Slope = 30 ÷ 6 = 5: the pay for each hour.
Question 6
The ordered pair (?, 19) is on the line y = 5x + 4. What is the missing x-value?
answer box
3
Hint: Put y = 19 in the equation: 19 = 5x + 4. Undo the addition, then divide by 5: x = 3.
Question 7
The graph is a straight line going up from the origin. Which situation fits best?
- A phone battery that is charging and then unplugged
- A ball thrown up and coming down
- The height of a swing over time
- Total cost of apples at a fixed price per pound
Total cost of apples at a fixed price per pound
Hint: Read the graph left to right: going up means increasing, flat means not changing, going down means decreasing.
Question 8
Which question needs two-variable data?
- How many students ride the bus each day?
- What color is each car in the parking lot?
- How does a plant's height change with the hours of sunlight it gets?
How does a plant's height change with the hours of sunlight it gets?
Hint: One-variable data describes one thing for each person or object. Two-variable data pairs two measurements to look for a relationship.
Question 9
A cone and a cylinder have the same base and height. The cylinder holds 78 cm³. How much does the cone hold?
- 75 cm³
- 39 cm³
- 234 cm³
- 26 cm³
26 cm³
Hint: A cone holds one third of the matching cylinder.
Question 10
A box is 10 cm long, 9 cm wide and 8 cm tall. What is its surface area?
answer boxcm²
484 cm²
Hint: Add the areas of the 3 pairs of faces: 2 × (10×9 + 10×8 + 9×8) = 2 × 242 = 484 cm².
Answer key
- 1. 6.13 (Big, Small & Real Numbers)
- 2. 196 (Squares, Cubes & Roots)
- 3. rotation (Tessellations & Transformations)
- 4. (-6, -5) (Congruent Shapes)
- 5. $5 per hour (Slope & Rate of Change)
- 6. 3 (Tables, Graphs & Linear Relations)
- 7. Total cost of apples at a fixed price per pound (Functions)
- 8. How does a plant's height change with the hours of sunlight it gets? (Scatter Plots & Stories)
- 9. 26 cm³ (Cones, Cylinders & Spheres)
- 10. 484 cm² (Surface Area & Volume)
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