Prerequisite Exam Sample Questions

The following questions are similar to those on the prerequisite exam. Note that you will be permitted to use a calculator during the exam.

Some answers may have to be rounded

Solve the following:

  1. (-46) + 42 + (-9)
    1. -40
    2. -32
    3. -47
    4. -13
    5. 34
  2. 49.635 − 36.984 − 27.386
    1. -14.735
    2. 34.735
    3. -33.285
    4. -6.285
    5. -51.335
  3. (-47) − (-35) − 38
    1. -56
    2. -43
    3. -84
    4. -50
    5. -80
  4. (2 + 5) × 6
    1. 60
    2. 32
    3. 45
    4. 42
    5. 46
  5. (6 ÷ 3)3
    1. 14
    2. 6
    3. 11
    4. 5
    5. 12

Answers

1.
d
2.
a
3.
d
4.
d
5.
b

Solve the following:

  1. 524.1 is 280% of what?
    1. 505.8
    2. 187.2
    3. 146 748
    4. 1 467.5
    5. 50 580
  2. 423 is 65% of what?
    1. 650.8
    2. 9.5
    3. 945
    4. 27 495
    5. 101
  3. What percent of 981 is 828?
    1. 192.8%
    2. 118.5%
    3. 84.4%
    4. 1.36%
    5. 73.4%
  4. What is 44% of 2?
    1. 0.88
    2. 393.8
    3. 226 800
    4. 4.5
    5. 88
  5. What percent of 163 is 170?
    1. 1.04%
    2. 267.3%
    3. 95.9%
    4. 0.96%
    5. 104.3%

Answers

1.
b
2.
a
3.
c
4.
a
5.
e

Find each product:

  1. (a + 3)(a − 3)
    1. a2 − 1
    2. a2 + 2a + 1
    3. a2 + 6a + 9
    4. a2 − 6a + 9
    5. a2 − 9
  2. (n + 3)2
    1. n2 + 9
    2. n2 − 4n + 4
    3. n2 − 9
    4. n2 − 4
    5. n2 + 6n + 9
  3. (k − 1)2
    1. k2 − 4
    2. k2 − 2k + 1
    3. k2 − 1
    4. k2 − k+ 1
    5. k + 1
  4. (x + 5)(x − 5)
    1. x2 − 25
    2. x2 − 10x + 25
    3. x2 − 9
    4. x2 − 6x + 9
    5. x2 + 10x + 25
  5. (a − 3)(a + 3)
    1. a2 − 2a + 1
    2. a + 1
    3. a2− 9
    4. a2 − 6a + 9
    5. a2 − 16

Answers

1.
e
2.
e
3.
b
4.
a
5.
c

Simplify each expression:

  1. -7a − 4(1 − 7a)
    1. 21a − 4
    2. 19 + 42a
    3. 23 + 36a
    4. 23 + 42a
    5. 30 + 36a
  2. -5 + 7(x + 6)
    1. 29 + 7x
    2. 6x+ 17
    3. 6x
    4. 37 + 7x
    5. 56 + 42x
  3. 4(p − 2) + 1
    1. -55 − 21p
    2. 4p
    3. -11 + 46p
    4. -10 + 46p
    5. 4p − 7
  4. 6k − 2(7k + 6)
    1. -8k
    2. 32 − 48k
    3. 4 + 5k
    4. -13k − 12
    5. -20 − 6k
  5. 2m(3 + 4m) + 4m
    1. 8m+ 6m + 3
    2. 2m(4m+ 5)
    3. 8m2+ 8m
    4. 6m2+ 10m
    5. 2m(2m+ 6)

Answers

1.
a
2.
d
3.
e
4.
a
5.
b

Solve the following:

  1. How is 68.6 × 10-6 expressed in decimal notation?
    1. -0.000 068 6
    2. 0.000 686
    3. 0.000 068 6
    4. 0.000 006 86
    5. -0.000 006 86
  2. How is 0.000000584 expressed in scientific notation?
    1. 58.4 × 10-6
    2. 58.4 × 10-8
    3. 5.84 × 10-8
    4. 5.84 × 108
    5. 0.584 × 10-6
  3. 35 L − 620 mL
    1. 34.380 L
    2. 3.438 0 L
    3. 35 620 mL
    4. 3 438.0 mL
    5. 35.620 L
  4. 302 mL + 200 L
    1. 20 302 L
    2. 302.2 L
    3. 200.302 mL
    4. 302 200 mL
    5. 200 302 mL
  5. 3 kg − 210 mg
    1. 2.999 99 kg
    2. 2 999.79 g
    3. 2 999.79 mg
    4. 2 790 g
    5. 3 002.10 g
  6. A 40 L measure is reduced by 0.29%, and the measure obtained is then increased by 0.42%. What is the new measure to the nearest hundredth in millilitre (mL)?
    1. 397.26 mL
    2. 39 726.49 mL
    3. 400 515.13 mL
    4. 4 005.15 mL
    5. 40 051.51 mL
  7. To convert pounds into kilograms, we use a conversion factor of 0.453 592 kg. If something weighs 546.39 kg, how much does it weigh in pounds? Round to the nearest hundredth.
    1. 247.84 pounds
    2. 2 478.38 pounds
    3. 1 204.58 pounds
    4. 12 045.85 pounds
    5. 120.46 pounds
  8. To convert pounds into kilograms, we use a conversion factor of 0.453 592 kg. If something weighs 35 pounds, how much does it weigh in grams? Round to the nearest hundredth.
    1. 15 875.72 g
    2. 1 587.57 g
    3. 158 757.25 g
    4. 158.76 g
    5. 1 587 572.51 g
  9. A scale's reading shows 602.9 kg when a 601 kg proof mass (actual weight) is placed on it. Calculate the percentage of error (the answer has been rounded). % error = ((value displayed − value of proof mass) ÷ value of proof mass) × 100
    1. 1.11%
    2. 1.38%
    3. 0.28%
    4. 0.32%
    5. 0.99%
  10. When a 10 kg weight is placed on a scale ten different times, the following readings are obtained: 10.034, 9.998, 10.022, 10.205, 9.865, 10.150, 10.004, 9.999, 10.003 and 10.015. What is the average of the readings (the answer has been rounded)?
    1. 10.00
    2. 10.03
    3. 9.99
    4. 10.10
    5. 10.08

Answers

1.
c
2.
b
3.
a
4.
e
5.
b
6.
e
7.
c
8.
a
9.
d
10.
b