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Mathematics- Grade 9
Further revision for november final term
1 assessment.
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Question # 1
Complete the following table…
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Definition 2 examples
Proper fraction
Improper fraction
A mixed number
Reciprocal
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Symbol Definition 2 examples
Real number
Imaginary number
Rational number
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Symbol Definition 2 examples
Irrational number
Integers
Whole numbers
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Symbol Definition 2 examples
Natural numbers
An inequality
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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
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5. 6.
7. 8.
3
4
3
4 12
91
5
12
8
5
5
2
24
5
7
10
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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.
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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
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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
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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
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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
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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
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Scientific notation
Standard notation
2.45 x 103
0.0000231
7 x 10-6
923.12
Question # 20
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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
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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)
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Question 24
2.1 cm 1.4 cm 4.13 cm
x y z 5 cm
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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
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Well done! You are ready
Remember to bring a calculator to the
assessment!