Achievement Test Standardized Achievement Mathematics 5 — Questions and Answers
Question 1: A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of randomly selecting a blue marble?
- 1/4
- 3/12 (Correct answer)
- 1/3
- 5/12
Correct answer: 3/12
Total marbles = 12; P(blue) = 3/12 = 1/4 (but 3/12 is the unreduced form listed as a choice).
Question 2: Evaluate: −3 × (−4) + (−6) ÷ 2
- −9
- 6
- 9 (Correct answer)
- 15
Correct answer: 9
−3 × −4 = 12; −6 ÷ 2 = −3; 12 + (−3) = 9.
Question 3: The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?
- 18
- 21 (Correct answer)
- 24
- 16
Correct answer: 21
If 4 parts = 28, then 1 part = 7; boys = 3 × 7 = 21.
Question 4: Which inequality represents 'x is at most 8'?
- x > 8
- x < 8
- x ≥ 8
- x ≤ 8 (Correct answer)
Correct answer: x ≤ 8
'At most 8' means x cannot exceed 8, so x ≤ 8.
Question 5: What is the slope of a line passing through (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 − 5) ÷ (6 − 2) = 8 ÷ 4 = 2.
Question 6: A rectangular garden is 12 m long and 7 m wide. What is the area of a path 1 m wide built around the outside?
- 40 m² (Correct answer)
- 42 m²
- 84 m²
- 168 m²
Correct answer: 40 m²
Outer area = 14 × 9 = 126 m²; inner area = 12 × 7 = 84 m²; path area = 126 − 84 = 42 m².
Question 7: Convert 3/8 to a decimal.
- 0.325
- 0.375 (Correct answer)
- 0.38
- 0.425
Correct answer: 0.375
3 ÷ 8 = 0.375.
Achievement Test Standardized Achievement Mathematics 5
A bag contains 4 red, 3 blue, and 5 green marbles.
What is the probability of randomly selecting a blue marble?