1. Mathematics- Grade 9 Further revision for november final term 1 assessment.

2. Question # 1 Complete the following table…

3. Definition2 examples Proper fraction Improper fraction A mixed number Reciprocal

4. SymbolDefinition2 examples Real number Imaginary number Rational number

5. SymbolDefinition2 examples Irrational number Integers Whole numbers

6. SymbolDefinition2 examples Natural numbers An inequality

7. 2) Which of the following numbers is not irrational? Why? a)πb) 3.273c) 22/7d) √11 3. Convert to an improper fraction. 4. Convert to a mixed number

8. 5. 6. 7. 8.

9. 9. Calculate √200 10. The area of a square is 96 cm 2. What is length of its sides ? 11. The number belongs to which sets of numbers? _______________ 12. a. The smallest number below is: √3 2.84219 2.1428623 b. Choose two mixed numbers, one improper fraction and an integer and place on a number line.

10. 13. Marie wants to build a triangular garden with a right angle. Her friend Ben draws a plan for the garden. Marie comes to the conclusion that the plan he made will not produce a right angle triangle. Why not? Please explain your answer. 21cm 12 cm 16 cm

11. 14. True or false. Whole numbers are integers. Explain your answer 15. Which of the following expressions is written in scientific notation? a) 0.679 x 10 2 b) 4.08 x 10 2 c) 0.0007 x 10 -4 d) 57.53 x 10 3

12. 16. Evaluate: a)3 2 + 2 3 b) 3 2 - 2 3 c) 3 2 ● 2 3 d) 2 4 + 4 2 e) 2 ● 2 3 ● 2 2 f)10 2 /10/10 g) 2 -1 h) x -10 i) (3x 2 y) 3

13. 17. Evaluate (challenge extentions) **This level of difficulty will not appear on the november asssessment. a)(2a 2 b -1 c 0 d) -1 b) (4g 2 h -1 j 9 k 0 m -2 ) 3 c) (2r 2 s 4 ) 5 ● (4r 3 s) 2 d) (3a 2 b 0 c -1 d 9 ) -4 /(9a -1 b 6 c 3 d -3 ) -2

14. 18. Evaluate: (6 2 ) 2 (5 3 ) -4 (7 5 ) 0 [(3)(2)] -5 (5 3 ) 2 (6 3 ) (5 -1 ) -6 19. Simplify. No decimal values!!!! **This level of difficulty will only appear as ONE question out of the 100. It is for extension purposes. a)√32 b) -3 √40 c) 2 √121 - 5 √36 d) 2 √8 ● e) √100 - 2 √25 f) 3 – 2√25

15. Scientific notation Standard notation 2.45 x 10 3 0.0000231 7 x 10 -6 923.12 Question # 20

16. 21. If a rectangle mesures 7.1 m by 6 m, calculate the length of the diagonal. 22. Simplify: a) b)

17. 23) Complete the following questions. Show clearly your work and write your final answer in scientific notation. a)(7.3 x 10 4 ) - (3.1 x 10 2 ) b) (8.6 x 10 7 ) + (4.45 x 10 4 ) c) (7.5 x 10 2 ) (3 x 10 -5 ) d) (1.1 x 10 5 ) ÷ (4.2 x 10 2 )

18. Question 24 2.1 cm 1.4 cm 4.13 cm x y z 5 cm

19. Question 25 a) b) c) d)

20. Well done! You are ready Remember to bring a calculator to the assessment!