Mathematics- Grade 9

Further revision for november final term

1 assessment.

Question # 1

Complete the following table…

Definition 2 examples

Proper fraction

Improper fraction

A mixed number

Reciprocal

Symbol Definition 2 examples

Real number

Imaginary number

Rational number

Symbol Definition 2 examples

Irrational number

Integers

Whole numbers

Symbol Definition 2 examples

Natural numbers

An inequality

2) Which of the following numbers is not irrational? Why?

a) π b) 3.273 c) 22/7 d) √11

3. Convert to an improper fraction.

4. Convert to a mixed number

6

54

6

28

5. 6.

7. 8.

3

4

3

4 12

91

5

12

8

5

5

2

24

5

7

10

9. Calculate  √200

10. The area of a square is 96 cm2.  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.                                       

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

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 102   b)  4.08 x 102   c)    0.0007 x 10-4   d)    57.53 x 103

16. Evaluate:

a) 32 + 23 b) 32 - 23 c) 32 ● 23

d) 24 + 42 e) 2 ● 23 ● 22 f)102/10/10

g) 2-1 h) x-10 i) (3x2y)3

17. Evaluate (challenge extentions)**This level of difficulty will not appear on the november asssessment.

a) (2a2b-1c0d)-1

b) (4g2h-1j9k0m-2)3

c) (2r2s4)5 ● (4r3s)2

d) (3a2b0c-1d9)-4 /(9a-1b6c3d-3)-2

18. Evaluate:

(62)2 (53)-4 (75)0  [(3)(2)]-5 

(53)2 (63) (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 16

9

Scientific notation

Standard notation

2.45 x 103

0.0000231

7 x 10-6

923.12

Question # 20

21. If a rectangle mesures 7.1 m by 6 m, calculate the length of the diagonal.

22. Simplify:

a) b)

2

754

233

6

1

2

1

3

2

4

32

23) Complete the following questions. Show clearly your work and write your final answer in scientific notation.

a) (7.3 x 104) - (3.1 x 102) b) (8.6 x 107) + (4.45 x 104)

c) (7.5 x 102) • (3 x 10-5) d) (1.1 x 105) ÷ (4.2 x 102)

Question 24

2.1 cm 1.4 cm 4.13 cm

x y z 5 cm

Question 25

a) b)

c) d)

35

9

7

9

7

2

9

7

9

7

43

9

7/

9

7

32

9

7/

9

7

Well done! You are ready

Remember to bring a calculator to the

assessment!