NSCAS Mathematics Assessment 3 — Questions and Answers
Question 1: Which inequality represents 'a number x is at least 5'?
- x < 5
- x > 5
- x ≤ 5
- x ≥ 5 (Correct answer)
Correct answer: x ≥ 5
'At least 5' means x can equal 5 or be greater, which is written as x ≥ 5.
Question 2: A triangle has angles measuring 45°, 90°, and what third angle?
- 45° (Correct answer)
- 55°
- 35°
- 60°
Correct answer: 45°
The sum of interior angles of a triangle is 180°, so 180° − 45° − 90° = 45°.
Question 3: Which expression is equal to 6(x + 4)?
- 6x + 4
- 6x + 10
- 6x + 24 (Correct answer)
- x + 24
Correct answer: 6x + 24
Using the distributive property: 6 × x + 6 × 4 = 6x + 24.
Question 4: A table shows the number of books read per month: 3, 5, 4, 6, 7. What is the mean number of books read?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
Mean = (3 + 5 + 4 + 6 + 7) ÷ 5 = 25 ÷ 5 = 5.
Question 5: On a coordinate grid, point A is at (3, -2). If the point is reflected over the x-axis, what are the new coordinates?
- (-3, 2)
- (3, 2) (Correct answer)
- (-3, -2)
- (2, 3)
Correct answer: (3, 2)
Reflecting over the x-axis changes the sign of the y-coordinate: (3, -2) becomes (3, 2).
Question 6: What is 15% of 80?
- 10
- 12 (Correct answer)
- 15
- 20
Correct answer: 12
15% of 80 = 0.15 × 80 = 12.
Question 7: A pattern follows the rule: multiply by 3, then subtract 1. If the first term is 2, what is the third term?
- 15
- 14 (Correct answer)
- 17
- 16
Correct answer: 14
Term 1 = 2; Term 2 = 2 × 3 − 1 = 5; Term 3 = 5 × 3 − 1 = 14.
NSCAS Mathematics Assessment 3
Which inequality represents 'a number x is at least 5'?