本文发表在 rolia.net 枫下论坛Pre-Admission Testing: Practice Math Questions
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Choose the correct answer to each of the following 60 questions. Answers are provided at the end of this practice test. Approximate time allowance for the practice test is one hour. The real test will contain fewer questions and has a time allowance of 40 minutes.
1.
Express 6/30 as a percent.
Pg. 1 of 9
(a) 0.2%
(b) 20%
(c) 2%
(d) 5%
(e) none of these
2.
36 is what percent of 18?
(a) 50%
(b) 20%
(c) 0.5%
(d) 200%
(e) none of these
3.
7.5 is 25% of what number?
(a) 30
(b) 2.5
(c) 1.875
(d) 3
(e) none of these
4.
What is 7.2 divided by 0.6?
(a) 12
(b) 4.32
(c) 43.2
(d) 7.8
(e) none of these
5.
18% of 36 is?
(a) 1/2
(b) 0.5
(c) 2
(d) 6.48
(e) none of these
6.
What is 0.003 multiplied by 0.03?
(a) 1/10
(b) 0.1
(c) 0.0009
(d) 9/10
(e) none of these
7.
25 photos were taken, but 5 of them could not be developed.
What percentage of the photos were developed?
(a) 5%
(b) 80%
(c) 20%
(d) 75%
(e) none of these
8.
If a person makes $12.00 per hour, and twice that much if they work more than 35 hours in a week,
how much would that person make if they worked 42 hours in a week?
(a) $600
(b) $588
(c) $576
(d) $504
(e) none of these
10.
Pg. 2 of 9
11.
Four room-mates split the cost of groceries and utilities each month. In May, groceries bought cost $392.00,
the telephone bill was $75.26, electricity consumption cost $126.10, gas for heating cost $16.64.
How much did each room-mate pay for groceries and utilities in May?
(a) $75.26
(b) $126.10
(c) $76.25
(d) $152.50
(e) none of these
12.
Divide 71/7 by 23/4.
(a) 550/28
(b) 200/77
(c) 77/200
(d) 28/550
(e) none of these
13.
Sally got a raise of salary at her place of employment. She went from $520/week to $546/week.
What was the rate of her increase?
(a) 5%
(b) 105%
(c) 4.8%
(d) 104.8%
(e) none of these
14.
2.7% of what amount is $0.81?
(a) $21.87
(b) $218.70
(c) $300.00
(d) $30.00
(e) none of these
15.
If Sarah is twice as old as Heather, and the sum of their ages is 42 years, how old is Heather?
(a) 24 yrs
(b) 7 yrs
(c) 14 yrs
(d) 28 yrs
(e) none of these
16.
What is the ‘average’ of these numbers? 27, 18, 100, 28, 37.
(a) 28
(b) 21
(c) 42
(d) 210
(e) none of these
9.
Express 12/30 as a decimal.
(a) 6.6
(b) 0.4
(c) 0.6
(d) 0.44
(e) none of these
Elaine paid $276 for a pair of shoes. That cost included a sales tax of 8% and a service tax of 7%.
What would the shoes have cost if there had been no tax?
(a) $276
(b) $312
(c) $240
(d) $250
(e) none of these
17.
What is the ‘mean’ of these numbers? 27, 18, 100, 28, 37.
(a) 28
(b) 21
(c) 42
(d) 210
(e) none of these
19.
Pg. 3 of 9
20.
Jim and Elaine were driving from Toronto to Ottawa, a distance of 400 kilometres. Jim drove ¼ of the way.
Then Elaine took over and drove ½ of the remaining distance. How far did they still have to travel?
(a) 100 km
(b) 150 km
(c) 200 km
(d) 50 km
(e) none of these
21.
If 7x – 3 = 3x + 5, what is the value of ‘x’?
(a) 1
(b) 2
(c) 0
(d) -2
(e) none of these
22.
1/3 + 4/7 - 1/2 = ?
(a) 15/7
(b) 6/7
(c) 8/21
(d) 17/42
(e) none of these
23.
12.25 – 7 2/3 = ?
(a) 5 7/8
(b) 4 7/12
(c) 5 5/12
(d) 4 5/12
(e) none of these
24.
7 1/4 x 2/3 x 12 = ?
(a) 29
(b) 58
(c) 63 11/12
(d) 78
(e) none of these
25.
12 – 3/4
5 5/8
(a) 7/12
(b) 7/8
(c) 12/5
(d) 2
(e) none of these
18.
(a) 2.5%
(b) 22.5%
(c) 11.25%
(d) 225%
(e) none of these
(a) 1,739,000
(b) 1739
(c) .0001739
(d) 173,900
(e) none of these
26.
-5 (-3)2 = ?
(a) 15
(b) -225
(c) -45
(d) 45
(e) none of these
The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth
century. What was the annual average percentage increase in population for that period?
17.39 x 105 equals:
= ?
28.
Pg. 4 of 9
29.
What is √ (92 – 62) in simplest terms?
(a) 32
(b) 9
(c) √45
(d) 45
(e) none of these
30.
If x = -7 and y = 3, find the value of
(a) 11/63
(b) 0
(c) -11/63
(d) 11/-63
(e) none of these
31.
(7x – 3)2 = ?
(a) 14x2 – 42x + 9
(b) 49x2 – 42x + 9
(c) 14x – 6
(d) 14x + 6
(e) none of these
32.
6 – x4 = ?
(a) -2
(b) -16
(c) +2
(d) +16
(e) none of these
33.
If 250,000 lottery tickets were sold at $100 each, and a person bought 50 of them,
what chances has that person of winning the grand prize?
(a) 2%
(b) 0.2%
(c) 0.02%
(d) 0.002%
(e) none of these
34.
(a) 3.3
(b) 52/3
(c) 330
(d) 66/5
(e) none of these
27.
(a) 1024a5b10
(b) 4a5b10
(c) (4ab)10
(d) 1024ab
(e) none of these
(a) b5
(b) 3.5b
(c) b/3.5
(d) 14b
(e) none of these
35.
Combine and reduce 6b/3a + b/a
(a) 7b/4a
(b) 6b2/3a2
(c) 3b/a
(d) 3b/6a
(e) none of these
(4ab2)5 = ?
b7/b2 = ?
If a/5 = 0.66, a equals?
2x + y
3xy
(12 – 4)
4
36.
What is the value of x – 4x2, if x = 1/4 ?
(a) 16
(b) 0
(c) -16
(d) 1
(e) none of these
38.
Pg. 5 of 9
39.
Solve for y: y = | -7 - 6 |
(a) -13
(b) 13
(c) 1
(d) -1
(e) none of these
40.
Solve for y: y = | -7 - (-6) |
(e) none of these
41.
How many square centimeters are there in 2 square metres?
(a) 200
(b) 2
(c) 2000
(d) 20,000
(e) none of these
42.
In a right-angled triangle, the hypotenuse is 30 cm long. One side is 18 cm long. How long is the third side?
(a) 900 cm
(b) 24 cm
(c) 576 cm
(d) 8 cm
(e) none of these
43.
Express 1/16 as a decimal.
(a) 0.016
(b) 0.0625
(c) 0.625
(d) 0.16
(e) none of these
44.
(a) 100 cm2
(b) 200 cm2
(c) 300 cm2
(d) 400 cm2
(e) none of these
37.
(a) 25a2 – 30a + 9
(b) 5a2 – 6
(c) 25a2 – 9
(d) 4a2
(e) none of these
(a) 2
(b) 1/2
(c) 22
(d) 9
(e) none of these
Expand (5a – 3)2:
Solve for x: 2x = 9(2 – x) + 4
What is the area of this triangle?
(a) -13
(b) 13
(c) 1
(d) -1
10 cm
20 cm
46.
Pg. 6 of 9
47.
If there are fifty raffle tickets in a jar, and only two will be drawn out, and you own two of them,
what chance do you have of owning both winning tickets?
(a) 2/50
(b) 1/50
(c) 1/49
(d) 1/2450
(e) none of these
48.
If AB is parallel to CD, and CD = 20, BD = 6, DE = 8, what is the length of AB?
(e) none of these
49.
Alice bought her house in 1996 and sold it 8 years later. What was the percentage increase in its value?
(a) 50%
(b) 100%
(c) 150%
(d) 66.23%
(e) none of these
45.
(a) 25a2 – 30a + 9
(b) 5a2 – 6
(c) 25a2 – 9
(d) 4a2
(e) none of these
(a) 4a2 + 25
(b) 4a2 - 25
(c) 4a2 – 20a + 25
(d) 4a2 – 50a + 25
(e) none of these
What is the area of the square?
(2a – 5)2 = ?
(a) 31
(b) 35
(c) 37
(d) 38
10 cm
20 cm
20
B
E
D
6
8
A
C
500,000
400,000
300,000
200,000
100,000
0
19 96
19 97
19 98
19 99
2000
2001
2002
2003
2004
House Value $
51.
Pg. 7 of 9
52.
Which of these points would be in a table of values for y = 2x – 1 ?
(a) (4, 7)
(b) (-4, 7)
(c) (7, 4)
(d) (4, -7)
(e) none of these
53.
A graded section of road is 100 metres long and rises 9 metres.
What is the grade (slop) of that section of road?
(e) none of these
54.
What is the point of intersection of these equations: y = x – 3 and y = x/4 ?
(a) (-1, -6)
(b) (-1, -4)
(c) (4, 1)
(d) (6, 1)
(e) none of these
55.
The equation of the line OA is:
(a) 7y – 3x = 0
(b) x + y = 10
(c) 7x + 3y = 0
(d) 3y – 7x = 0
(e) none of these
50.
(e) none of these
(a) 11 ft.2
(b) 11 ft.3
(c) 45 ft.2
(d) 45 ft.3
(e) none of these
If x is a positive whole number and 15/x = x/60, then x = ?
How much storage area is there in a freezer whose inside dimensions are: 3 feet wide, 3 feet deep, 5 feet tall?
(a) 0.111
(b) 0.09
(c) 0.9
(d) 1.9
(a) 240
(b) 120
(c) 24
(d) 30
A (7, 3)
O
57.
Pg. 8 of 9
58.
54 / 5-3 = ?
(a) 5-7
(b) 5
(c) 5-1
(d) 57
(e) none of these
59.
60.
Find the solution to &frac14; x + 6 < 2
(a) x < -4
(b) x < 17
(c) x < -16
(d) x < -2
(e) none of these
56.
(e) none of these
(a) 5/2
(b) -5/2
(c) -2/5
(d) 2/5
(e) none of these
Total expenses to run the house for one year came to $20,000.
How much more did the utilities cost than the taxes?
What is the slope of line AB?
(a) $460
(b) $60
(c) $600
(d) $400
Mortgage
52%
Upkeep
5%
Utilities
23%
Taxes
20%
5
B
2
A
What is the slope of the line containing points J (4, -3) and K (6, -2)?
(a) 1/2
(b) 3/2
(c) 5/2
(d) -1/2
(e) none of these
Page 1:
1. (b) 2. (d) 3. (a) 4. (a) 5. (d) 6. (e) 7. (b) 8. (b)
Page 2:
9. (b) 10. (c) 11. (d) 12. (b) 13. (a) 14. (d) 15. (c) 16. (c) 17. (a)
Page 3:
18. (c) 19. (a) 20. ( b) 21. (b) 22. (d) 23. (b) 24. (b) 25. (d) 26. (c)
Page 4:
27. (a) 28. (a) 29. (c) 30. (a) 31. (b) 32. (a) 33. (c) 34. (a) 35. (c) 36. (b)
Page 5:
37. (a) 38. (a) 39. (b) 40. (c) 41. (d) 42. (b) 43. (b) 44. (a)
Page 6:
45. (e) 46. (c) 47. (d) 48. (b) 49. (a)
Page 7:
50. (d) 51. (d) 52. (a) 53. (b) 54. (c) 55. (a)
Page 8:
56. (c) 57. (c) 58. (d) 59. (a) 60. (c)
Pg. 9 of 9
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