10,000 ways to practice.
One idea at a time.

Attempt · Explain · Animate

Grade 8 practice chapters

1. Grade 8 · Chapter 21

   Recover a right-triangle distance · practice 3

   A right triangle has perpendicular legs 1 and 2. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

2. Grade 8 · Chapter 22

   Explain zero and negative powers · practice 2

   Evaluate 4 raised to the integer power 1. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

3. Grade 8 · Chapter 23

   Follow decimal place-value scaling · practice 2

   Write 5 × 10^(5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

4. Grade 8 · Chapter 24

   Separate trend from causal claims · practice 2

   For inputs [1, 2, 3, 4, 5] and corresponding outputs [3.75, -2.5, 0, 2.5, -3.75], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

5. Grade 8 · Chapter 25

   Accumulate circular cross-sections · practice 3

   Find the volume of a cylinder with radius 6.5 and height 8.5. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

6. Grade 8 · Chapter 26

   Bracket a principal square root · practice 3

   Enclose √119 after 2 bisections starting from [0, 119]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

7. Grade 8 · Chapter 27

   Distinguish length and area multipliers · practice 3

   Dilate a rectangle with sides 3 and 4 by length factor 2.5. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

8. Grade 8 · Chapter 28

   Connect slope and a linear rule · practice 4

   For the line y = 1x + (-6), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

9. Grade 8 · Chapter 29

   Locate simultaneous solutions · practice 4

   Solve the simultaneous equations y = -2x and y = -0.5x + (3). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

   Question · Worked solution · Animated example

   Open practice chapter

10. Grade 8 · Chapter 30

    Translate every coordinate equally · practice 4

    Translate the point (1, 1) by the vector (0, 6). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

11. Grade 8 · Chapter 31

    Recover a right-triangle distance · practice 4

    A right triangle has perpendicular legs 7 and 10. Find its hypotenuse. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

12. Grade 8 · Chapter 32

    Explain zero and negative powers · practice 3

    Evaluate 6 raised to the integer power 5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

13. Grade 8 · Chapter 33

    Follow decimal place-value scaling · practice 3

    Write 6 × 10^(-5) as an ordinary decimal number. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

14. Grade 8 · Chapter 34

    Separate trend from causal claims · practice 3

    For inputs [1, 2, 3, 4, 5] and corresponding outputs [4, -6, -3.5, -1, -11], find the least-squares slope, mean output, and sum of squared residuals. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

15. Grade 8 · Chapter 35

    Accumulate circular cross-sections · practice 4

    Find the volume of a cylinder with radius 4.5 and height 5. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

16. Grade 8 · Chapter 36

    Bracket a principal square root · practice 4

    Enclose √95 after 9 bisections starting from [0, 95]. Report bounds rounded outward to five decimal places and the exact interval width. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

17. Grade 8 · Chapter 37

    Distinguish length and area multipliers · practice 4

    Dilate a rectangle with sides 4 and 6 by length factor 2. Find the new side lengths and area. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

18. Grade 8 · Chapter 38

    Connect slope and a linear rule · practice 5

    For the line y = 0.5x + (7), find y when x = 3 and identify the slope and vertical intercept. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

19. Grade 8 · Chapter 39

    Locate simultaneous solutions · practice 5

    Solve the simultaneous equations y = 1.5x and y = 2.5x + (-4). Classify the number of solutions. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter

20. Grade 8 · Chapter 40

    Translate every coordinate equally · practice 5

    Translate the point (1, 1) by the vector (1, 1). Find the image and the movement length. Follow the calculation, then test the quantities in the animated example.

    Question · Worked solution · Animated example

    Open practice chapter