Ultimate QMI1500 Exam Pack 2025 | MCQs,
Calculations & Rationales
1. What is the primary purpose of the QMI1500 module?
A. To teach advanced engineering mathematics
B. To develop basic quantitative problem-solving skills
C. To focus only on statistics
D. To prepare students for accounting only
Answer: B. To develop basic quantitative problem-solving skills
Rationale: QMI1500 focuses on helping students understand and apply elementary quantitative
techniques used in business, economics, and related fields.
2. Simplify the following expression:
6+4(3−1)6 + 4(3 - 1)6+4(3−1)
A. 8
B. 10
C. 14
D. 20
Answer: C. 14
6+4(3−1)=6+4(2)=6+8=146+4(3-1)=6+4(2)=6+8=146+4(3−1)=6+4(2)=6+8=14
Rationale: According to the order of operations, brackets are solved first, then multiplication,
followed by addition.
3. Which law states that changing the order of addition does not change the answer?
A. Associative law
B. Distributive law
C. Commutative law
D. Exponential law
Answer: C. Commutative law
Rationale: The commutative law states that a+b=b+aa+b=b+aa+b=b+a. The same principle
applies to multiplication.
, 4. Reduce the fraction:
1824\frac{18}{24}2418
A. 2/3
B. 3/4
C. 4/5
D. 5/6
Answer: B. 3/4
1824=18÷624÷6=34\frac{18}{24}=\frac{18\div6}{24\div6}=\frac{3}{4}2418=24÷618÷6=43
Rationale: Both numerator and denominator are divided by their greatest common divisor,
which is 6.
5. Convert 0.75 into a percentage.
A. 7.5%
B. 75%
C. 0.75%
D. 750%
Answer: B. 75%
Rationale: To convert a decimal to a percentage, multiply by 100.
0.75×100=75%0.75 \times 100 = 75\%0.75×100=75%
6. Evaluate:
242^424
A. 8
B. 12
C. 16
D. 32
Answer: C. 16
24=2×2×2×2=162^4=2\times2\times2\times2=1624=2×2×2×2=16
,Rationale: An exponent indicates repeated multiplication of the base number.
7. Find the square root of 144.
A. 10
B. 11
C. 12
D. 14
Answer: C. 12
Rationale: The square root is the number that, when multiplied by itself, gives the original value.
12×12=14412 \times 12 = 14412×12=144
8. A ratio of 8:12 can be simplified to:
A. 1:2
B. 2:3
C. 3:4
D. 4:5
Answer: B. 2:3
Rationale: Divide both numbers by their common factor, which is 4.
9. Solve for xxx:
3x+6=213x + 6 = 213x+6=21
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
3x+6=21⇒3x=15⇒x=53x+6=21\Rightarrow3x=15\Rightarrow x=53x+6=21⇒3x=15⇒x=5
Rationale: First subtract 6 from both sides, then divide both sides by 3.
, 10. What is the slope of the line:
y=2x+5y = 2x + 5y=2x+5
A. 2
B. 5
C. -2
D. -5
Answer: A. 2
y=mx+by=mx+by=mx+b
mmm
bbb
-10-8-6-4-2246810-10-5510y-interceptx-intercept
Rationale: In the slope-intercept form y=mx+by = mx + by=mx+b, the coefficient of xxx is the
slope.
11. Which point is the y-intercept of the equation
y=3x−4y = 3x - 4y=3x−4
A. (0, -4)
B. (-4, 0)
C. (3, 0)
D. (0, 3)
Answer: A. (0, -4)
Rationale: The y-intercept occurs when x=0x = 0x=0.
12. Solve the inequality:
2x−3>72x - 3 > 72x−3>7
A. x>2x > 2x>2
B. x>5x > 5x>5
C. x<5x < 5x<5
D. x<2x < 2x<2
Calculations & Rationales
1. What is the primary purpose of the QMI1500 module?
A. To teach advanced engineering mathematics
B. To develop basic quantitative problem-solving skills
C. To focus only on statistics
D. To prepare students for accounting only
Answer: B. To develop basic quantitative problem-solving skills
Rationale: QMI1500 focuses on helping students understand and apply elementary quantitative
techniques used in business, economics, and related fields.
2. Simplify the following expression:
6+4(3−1)6 + 4(3 - 1)6+4(3−1)
A. 8
B. 10
C. 14
D. 20
Answer: C. 14
6+4(3−1)=6+4(2)=6+8=146+4(3-1)=6+4(2)=6+8=146+4(3−1)=6+4(2)=6+8=14
Rationale: According to the order of operations, brackets are solved first, then multiplication,
followed by addition.
3. Which law states that changing the order of addition does not change the answer?
A. Associative law
B. Distributive law
C. Commutative law
D. Exponential law
Answer: C. Commutative law
Rationale: The commutative law states that a+b=b+aa+b=b+aa+b=b+a. The same principle
applies to multiplication.
, 4. Reduce the fraction:
1824\frac{18}{24}2418
A. 2/3
B. 3/4
C. 4/5
D. 5/6
Answer: B. 3/4
1824=18÷624÷6=34\frac{18}{24}=\frac{18\div6}{24\div6}=\frac{3}{4}2418=24÷618÷6=43
Rationale: Both numerator and denominator are divided by their greatest common divisor,
which is 6.
5. Convert 0.75 into a percentage.
A. 7.5%
B. 75%
C. 0.75%
D. 750%
Answer: B. 75%
Rationale: To convert a decimal to a percentage, multiply by 100.
0.75×100=75%0.75 \times 100 = 75\%0.75×100=75%
6. Evaluate:
242^424
A. 8
B. 12
C. 16
D. 32
Answer: C. 16
24=2×2×2×2=162^4=2\times2\times2\times2=1624=2×2×2×2=16
,Rationale: An exponent indicates repeated multiplication of the base number.
7. Find the square root of 144.
A. 10
B. 11
C. 12
D. 14
Answer: C. 12
Rationale: The square root is the number that, when multiplied by itself, gives the original value.
12×12=14412 \times 12 = 14412×12=144
8. A ratio of 8:12 can be simplified to:
A. 1:2
B. 2:3
C. 3:4
D. 4:5
Answer: B. 2:3
Rationale: Divide both numbers by their common factor, which is 4.
9. Solve for xxx:
3x+6=213x + 6 = 213x+6=21
A. 3
B. 4
C. 5
D. 6
Answer: C. 5
3x+6=21⇒3x=15⇒x=53x+6=21\Rightarrow3x=15\Rightarrow x=53x+6=21⇒3x=15⇒x=5
Rationale: First subtract 6 from both sides, then divide both sides by 3.
, 10. What is the slope of the line:
y=2x+5y = 2x + 5y=2x+5
A. 2
B. 5
C. -2
D. -5
Answer: A. 2
y=mx+by=mx+by=mx+b
mmm
bbb
-10-8-6-4-2246810-10-5510y-interceptx-intercept
Rationale: In the slope-intercept form y=mx+by = mx + by=mx+b, the coefficient of xxx is the
slope.
11. Which point is the y-intercept of the equation
y=3x−4y = 3x - 4y=3x−4
A. (0, -4)
B. (-4, 0)
C. (3, 0)
D. (0, 3)
Answer: A. (0, -4)
Rationale: The y-intercept occurs when x=0x = 0x=0.
12. Solve the inequality:
2x−3>72x - 3 > 72x−3>7
A. x>2x > 2x>2
B. x>5x > 5x>5
C. x<5x < 5x<5
D. x<2x < 2x<2
