Achievement Test Standardized Achievement Problem Solving 5 — Questions and Answers
Question 1: A box contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?
- 1/3
- 3/10 (Correct answer)
- 3/7
- 1/5
Correct answer: 3/10
There are 3 blue marbles out of 10 total, so the probability is 3/10.
Question 2: What is the area of a triangle with a base of 12 cm and a height of 5 cm?
- 60 cm²
- 30 cm² (Correct answer)
- 17 cm²
- 120 cm²
Correct answer: 30 cm²
Area = ½ × base × height = ½ × 12 × 5 = 30 cm².
Question 3: Which of the following is the greatest common factor (GCF) of 24 and 36?
- 6
- 9
- 12 (Correct answer)
- 4
Correct answer: 12
The factors of 24 and 36 both include 12, which is the largest shared factor.
Question 4: A recipe calls for 2¼ cups of flour. If you want to make 2 batches, how much flour do you need?
- 4¼ cups
- 4 cups
- 4½ cups (Correct answer)
- 5 cups
Correct answer: 4½ cups
2¼ × 2 = 4½ cups of flour.
Question 5: A store buys an item for $60 and sells it for $90. What is the percent markup?
- 30%
- 33%
- 50% (Correct answer)
- 67%
Correct answer: 50%
Markup = (90 − 60) / 60 × 100 = 30/60 × 100 = 50%.
Question 6: What is the value of the expression 2³ × (5 − 2)?
- 40
- 30
- 24 (Correct answer)
- 48
Correct answer: 24
2³ = 8; (5 − 2) = 3; 8 × 3 = 24.
Question 7: A number is multiplied by 4 and then 9 is subtracted. The result is 23. What is the number?
- 7
- 8 (Correct answer)
- 6
- 5
Correct answer: 8
4n − 9 = 23 → 4n = 32 → n = 8.
Achievement Test Standardized Achievement Problem Solving 5
A box contains 5 red marbles, 3 blue marbles, and 2 green marbles.
What is the probability of randomly selecting a blue marble?