Achievement Test Standardized Achievement Mathematics 4 — Questions and Answers
Question 1: If 5n − 3 = 22, what is the value of n?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
5n = 22 + 3 = 25, so n = 25 ÷ 5 = 5.
Question 2: A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 94.2 cm³
- 282.6 cm³ (Correct answer)
- 188.4 cm³
- 376.8 cm³
Correct answer: 282.6 cm³
V = π r² h = 3.14 × 9 × 10 = 282.6 cm³.
Question 3: What is the greatest common factor (GCF) of 48 and 36?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 48: 1,2,3,4,6,8,12,16,24,48; factors of 36: 1,2,3,4,6,9,12,18,36; GCF = 12.
Question 4: On a number line, what is the distance between −7 and 4?
- 3
- 7
- 11 (Correct answer)
- −11
Correct answer: 11
Distance = |4 − (−7)| = |4 + 7| = 11.
Question 5: A $200 bicycle is on sale for 25% off. What is the sale price?
- $25
- $150 (Correct answer)
- $160
- $175
Correct answer: $150
Discount = 25% × $200 = $50; sale price = $200 − $50 = $150.
Question 6: Which of the following represents a function?
- A circle
- A vertical line
- {(1,2),(1,3),(2,4)}
- {(1,2),(2,3),(3,4)} (Correct answer)
Correct answer: {(1,2),(2,3),(3,4)}
A function requires each x-value to map to exactly one y-value; only {(1,2),(2,3),(3,4)} has unique x-values.
Question 7: What is the LCM of 6 and 8?
- 12
- 16
- 24 (Correct answer)
- 48
Correct answer: 24
Multiples of 6: 6,12,18,24…; multiples of 8: 8,16,24…; the smallest common multiple is 24.
If 5n − 3 = 22, what is the value of n?