BSEP Mathematical Problem Solving & Number Operations 4 — Questions and Answers
Question 1: A store sold 840 items in January and 1,050 items in February. What is the percent increase?
- 20%
- 25% (Correct answer)
- 30%
- 35%
Correct answer: 25%
(1050 − 840) / 840 × 100 = 210/840 × 100 = 25%.
Question 2: What is the least common multiple (LCM) of 8 and 12?
- 16
- 24 (Correct answer)
- 48
- 96
Correct answer: 24
The smallest number divisible by both 8 and 12 is 24.
Question 3: A tank holds 150 gallons. It is currently 2/5 full. How many more gallons are needed to fill it?
- 60 gallons
- 80 gallons
- 90 gallons (Correct answer)
- 100 gallons
Correct answer: 90 gallons
2/5 × 150 = 60 gallons in tank; 150 − 60 = 90 gallons needed.
Question 4: Which number is a prime number?
- 51
- 57
- 59 (Correct answer)
- 63
Correct answer: 59
59 is only divisible by 1 and itself; 51=3×17, 57=3×19, 63=9×7.
Question 5: Solve: 4(x − 3) = 20
- x = 7
- x = 8 (Correct answer)
- x = 5
- x = 2
Correct answer: x = 8
4x − 12 = 20 → 4x = 32 → x = 8.
Question 6: A bag contains 4 red, 5 blue, and 3 green marbles. What is the probability of randomly selecting a blue marble?
- 1/4
- 5/12 (Correct answer)
- 1/3
- 5/9
Correct answer: 5/12
Total marbles = 12; P(blue) = 5/12.
Question 7: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 8
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.
A store sold 840 items in January and 1,050 items in February.
What is the percent increase?