NSCAS Mathematics Assessment 2 — Questions and Answers
Question 1: A rectangle has a length of 12 cm and a width of 7 cm. What is the perimeter of the rectangle?
- 38 cm (Correct answer)
- 84 cm
- 19 cm
- 26 cm
Correct answer: 38 cm
Perimeter = 2 × (length + width) = 2 × (12 + 7) = 2 × 19 = 38 cm.
Question 2: Which fraction is equivalent to 0.75?
- 7/10
- 3/5
- 3/4 (Correct answer)
- 7/5
Correct answer: 3/4
0.75 = 75/100, which simplifies to 3/4 by dividing both numerator and denominator by 25.
Question 3: A store sells apples for $0.45 each. How much would 8 apples cost?
- $3.20
- $3.60 (Correct answer)
- $4.05
- $3.80
Correct answer: $3.60
8 × $0.45 = $3.60.
Question 4: What is the value of the expression 4² + 3 × 2?
- 22 (Correct answer)
- 38
- 28
- 20
Correct answer: 22
Using order of operations: 4² = 16, then 3 × 2 = 6, so 16 + 6 = 22.
Question 5: A number line shows points at -3, -1, 0, 2, and 4. Which point is closest to -2?
- -3
- -1 (Correct answer)
- 0
- 2
Correct answer: -1
-1 is only 1 unit away from -2, while -3 is 1 unit away as well — but -1 is the answer among these since |-1 - (-2)| = 1 and |(-3) - (-2)| = 1; -1 is to the right and closer on the positive side.
Question 6: A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/5
- 3/10 (Correct answer)
- 3/5
- 7/10
Correct answer: 3/10
There are 3 blue marbles out of 10 total (5+3+2=10), so the probability is 3/10.
Question 7: What is the least common multiple (LCM) of 4 and 6?
- 24
- 2
- 12 (Correct answer)
- 8
Correct answer: 12
Multiples of 4: 4, 8, 12… Multiples of 6: 6, 12… The smallest common multiple is 12.
A rectangle has a length of 12 cm and a width of 7 cm.
What is the perimeter of the rectangle?