Grade 10 Mathematics practice

What is on the worksheet

1. Data: 4, 15, 26, 37, 48, 59, 70, 81. Using medians of the lower four and upper four values, find the interquartile range.

2. Find only the x-coordinate of the midpoint of (30, 17) and (-7, -19).

3. Expand (6x + 16)². What is the coefficient of x?

4. Find the slope through (1, -6) and (4, 12).

5. A circle has radius 58 cm. Its circumference is kπ cm. Find k.

6. f(t) = 9t + (-8); g(t) = 5t + (-7). Find f(g(-2)).

7. Solve: 8x + 11 = 1x + 151.

8. Find only the x-coordinate of the midpoint of (27, 19) and (12, 5).

9. Find n: 13^5 × 13^7 = 13^n.

10. A score of 18 occurs 4 times; a score of 6 occurs 10 times. Find the mean as a fraction or decimal.

11. Find the sum of the first 9 terms of an arithmetic sequence with first term 16 and common difference 10.

12. Data: 19, 26, 33, 40, 47, 54, 61, 68. Using medians of the lower four and upper four values, find the interquartile range.

13. Evaluate log base 6 of (6 × 6).

14. Find f(0) if f(x) = 2x² + 11x + 2.

15. A circle has radius 34 cm. Its circumference is kπ cm. Find k.

16. A circle has radius 39 cm. Its circumference is kπ cm. Find k.

17. Find n: 19^4 ÷ 19^4 = 19^n.

18. The graph y = 7x² + 7x + 11 has axis x = k. Find k.

19. A score of 9 occurs 8 times; a score of 11 occurs 4 times. Find the mean as a fraction or decimal.

20. ∛(729) = ?