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!