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Mathematics- Grade 9
Further revision for november
final term 1 assessment.
Question # 1
Complete the following
table…
Definition
Proper
fraction
Improper
fraction
A mixed
number
Reciprocal
2 examples
Symbol
Real
number
Imaginary
number
Rational
number
Definition
2 examples
Symbol
Irrational
number
Integers
Whole
numbers
Definition
2 examples
Symbol
Natural
numbers
An
inequality
Definition
2 examples
2) Which of the following numbers is not irrational?
Why?
a) π
b) 3.273
c) 22/7
d) √11
5
4
6 to an improper fraction.
3. Convert
4. Convert
28
6
to a mixed number
5.
3 3

4
4
7.
2 5

5 8
6.
1
9
2 1
5 12
8.
4 7
2 
5 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
d) 24 + 42e) 2 ● 23 ● 22
g) 2-1
h) x-10
c) 32 ● 23
f)102/10/10
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
d) 2 √8 ●
b) -3 √40
c) 2 √121 - 5 √36
9 e) √100 - 2 √25
16
f) 3 – 2√25
Question # 20
Scientific
notation
2.45 x 103
Standard
notation
0.0000231
7 x 10-6
923.12
21. If a rectangle mesures 7.1 m by 6 m,
calculate the length of the diagonal.
22. Simplify:
a)
5 7
4  
 2
3
3
2



b)
2
3 2 1 1
    
4 3 2 6
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
x
5 cm
y
4.13 cm
z
Question 25
a)  7 
7
   
9 9
c)
7
 
9
2
b)
2
7
/ 
9
3
d)
7
 
9
7
 
9
5
3
7
 
9
7
/ 
9
3
4
Well done! You are
ready
Remember to bring a
calculator to the
assessment!