UNIT EXAM
Mathematics 9
-
Ch #2-3: "Rational Numbers, Powers & Exponents"
1. Which point on the number line represents the rational number
a)
b)
A
B
2. What fraction is equivalent to
a)
b)
5
38
11
38
c)
d)
18
?
4
C
D
10
?
38
c)
d)
1
4
5
19
3. Determine the mixed number that falls between 1.2 and 1.3.
4
1
a) 1
c) 1
5
4
3
1
b) 1
d) 1
4
5
4. What is the value of –2.2 – 6.6? (round answers to one decimal place)
a) –79.2
c) 4.4
b) –8.8
d) –14.5
5. What is the value of 3.3 ÷ (–4.6)? (round answers to one decimal place)
a) –0.7
c) 47.4
b) –15.2
d) –1.3
Form “P ”
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
__________________________________________________________________________________________
6. What is the value of 10.8 x (–3.9)? (round answers to one decimal place)
a) –42.1
c) 6.9
b) 58.8
d) –421.2
7. What is the value of 13.5 + (–17.5)? (round answers to one decimal place)
a) –2362.5
c) 155
b) –4
d) –236.3
8. Evaluate –8.8 + 7.5 ÷ –5.1.
a) –7.3
b) –10.3
c)
d)
40.7
–17.8
9. Evaluate (–5.2) x (4.5 ÷ 3.1). (round your answer to one decimal place)
a) –6.7
c) –12
b) –38.5
d) –7.5
10. Evaluate (–6.6) ÷ –18.8 – (–5.8) x –1.3. (round your answer to one decimal place)
a) –9.8
c) 50.8
b) –7.2
d) 11.6
11. One day, the temperature fell from 5.3 °C to –3.6 °C in 1 hours. What was the temperature change per hour?
(round your answer to one decimal place)
a) 8.9 °C/h
c) –8.9 °C/h
b) –18.9 °C/h
d) –5.3 °C/h
12. The waiters at a restaurant give 30% of their tips to the kitchen staff at the end of each shift. If a waiter
collects $82.86 in tips, how much does he take home at the end of his shift?
a) $25.00
c) $28.00
b) $58.00
d) $73.77
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
__________________________________________________________________________________________
13. What is
15
12
÷
?
19
2
a)
5
38
c)
19
90
b)
7
d)
11 8
14. What is
7
15
3
× ?
16
8
a)
45
128
c)
2 45
b)
10
d)
1
5
c)
39
d)
1
3
c)
5
18
d)
0
15. What is
10
5
+ ?
16
9
13
72
a)
1
b)
2 25
22
16. What is
a)
9
b)
59
4
38
5
7
2
− ?
14
9
17. Jag has 13 large bags of popcorn, which he divides among some smaller bags. The smaller bags are
size of the large bags. How many smaller bags of popcorn can Jag make?
1
a) 16
c) 29 4
b)
58
d)
41
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
__________________________________________________________________________________________
18. Which of these numbers is not a perfect square?
a) 81
c)
b) 100
d)
10
9
19. What is the value of
a) 0.49
b) 0.51
0.26 ?
c)
d)
0.39
0.63
20. What is the value of
a) 32
b) 31
900 ?
c)
d)
30
40
21. Determine the side length of a square with an area of 7.75 cm2 .
a) 2.78 cm
c) 2.68 cm
b) 60.06 cm
d) 27.84 cm
22. What is the area of a square with a side length of 8 units?
a) 640 units
c) 2.83 square units
b) 64 units
d) 64 square units
23. Written as an improper fraction, 4
24. Written as a mixed number, –
61
10
5
10
is _________________________.
is _________________________.
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
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25. Which of the following represents these rational numbers in ascending order?
6
13
, 0.8, 0. 6,
7
14
a)
b)
6 13
,
7 14
6
13
, 0.8, 0. 6,
7
14
0. 6, 0.8,
c)
d)
6
13
, 0.8,
7
14
13 6
, , 0.8, 0. 6
14 7
0. 6,
26. In the expression 7 9 , what does the number 7 represent?
a) exponent
c) base
b) power
d) multiple
27. Express 2,401 as a power of 7.
a) 4 7
b) 7 × 343
c)
d)
3437
74
28. Evaluate the power (− 5) 5 .
a) –3,125
b) 25
c)
d)
3,125
–25
29. What is the value of − 104 ?
a) –40
b) − 10,000
c)
d)
40
10,000
30. Express 6 3 × 6 4 as a single power.
a) 6 1 2
b) 6 3
c)
d)
61
67
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
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31. Evaluate
a)
b)
10
7
10
9
.
10– 2
101 6
c)
d)
106 3
107
c)
d)
–2
–2,048
33. Express (–2) 4 × (–2) 9 as a single power.
a) (–2) 1 3
b) (–2) 4
c)
d)
(–2) 3 6
(–2) 5
34. Evaluate 200 .
a) 200
b) 20
c)
d)
1
0
32. What is the value of
a)
b)
(−2)
6
(−2)
5
?
6
–60
Ê 2 ˆ −1
35. Simplify ÁÁÁÁ 9 ˜˜˜˜ .
Ë ¯
a)
–9 2
b)
−
1
9
2
c)
d)
1
9
2
92
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
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−4
ÁÊÁ −4 8 ˜ˆ˜
ÁÁ
˜˜
Ë
¯
36. Simplify
.
ÊÁ 4 ˆ˜ −8
ÁÁ −4 ˜˜
ÁË
˜¯
a) 4 3 2
b) 1
37. What is the value of
a)
b)
c)
d)
5
3
× 3 ?
8 2
1
2
15
64
ÊÁ 1
38. Evaluate ÁÁÁÁ
ÁË 6
1
a)
15
1
b)
7776
c)
d)
ˆ˜ 2 ÊÁ 1
˜˜ × ÁÁ
˜˜
ÁÁ
˜¯
ÁË 6
0
–4 3 2
1
8
15
16
ˆ˜ 5
˜˜ .
˜˜
˜¯
c)
1
10
d)
1
279936
39. What is 6 2 ÷ (14 – 1)? (round your answer to 2 decimal places)
a) 1.57
c) 94.00
b) 70.00
d) 2.77
40. What is (2 4 –2 1 ) ÷ 2 2 – 1? (round your answers to 2 decimal places)
a) –16.50
c) 3.50
b) 2.50
d) 286.00
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Mathematics 9
Unit A: “Rational Numbers, Powers and Exponents”
Unit Exam
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41. What is (6 + 2) 5 – (1 7 – 2 9 ) ÷ 7? (round your answers to 2 decimal places)
a) 1,034.43
c) 81.00
b) 111.00
d) 32,841.00
1
42. What is the value of
a)
b)
12.13
779.00
2 +4
2
4
4 ×4
? (round your answers to 2 decimal places)
c)
d)
–7.00
4.03
43. If a colony of 1000 bacteria doubles in size every 2 h, what is the size of the colony after 6 h?
a) 2000
c) 8000
b) 6000
d) 64 000
44. Determine the volume of a cube that has a side length of 8 cm.
a) 64 cm3
c) 512 cm2
2
b) 24 cm
d) 512 cm3
45. Evaluate
a)
b)
5
9
11
18
4 1 2
+ × .
9 6 3
c)
d)
7
9
5
6
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