Grade 9 Mathematics practice

What is on the worksheet

1. Find n: 19^10 ÷ 19^9 = 19^n.

2. A quantity starts at 7800, increases by 20%, then decreases by 10%. Find the final quantity.

3. A trapezoid has parallel sides 2 cm and 29 cm and height 5 cm. Find its area in cm².

4. Reflect (-4, 4) in x = 9. What is the new x-coordinate?

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

6. A right triangle has legs 6 cm and 8 cm. Find the hypotenuse in cm.

7. A value increases from 830 to 1145.4. What is the percentage increase?

8. √169 = ?

9. A bag contains 24 red counters and 6 blue counters. One counter is drawn at random. What is the probability of red?

10. A model starts with 1000 units and grows by 25% each year for 2 years. Find the final number of units.

11. Reflect (18, 0) in x = 2. What is the new x-coordinate?

12. Solve for x: x + y = 19 and x − y = 7.

13. A right triangle has legs 54 cm and 72 cm. Find the hypotenuse in cm.

14. Solve: 9x + 7 = 3x + 91.

15. Data: 30, 37, 44, 51, 58, 65, 72, 79. Using medians of the lower four and upper four values, find the interquartile range.

16. A score of 23 occurs 9 times; a score of 19 occurs 8 times. Find the mean as a fraction or decimal.

17. A right triangle has legs 91 cm and 312 cm. Find the hypotenuse in cm.

18. A cylinder has radius 5 cm and height 7 cm. Its volume is kπ cm³. Find k.

19. Club A has 17 bus users and 10 walkers. Club B has 14 bus users. Given that a student is in Club A, what is the probability they use the bus? Give a simplified fraction.

20. Find f(0) if f(x) = 3x² + 1x + 4.