Achievement Test Standardized Achievement Mathematics 3 — Questions and Answers
Question 1: Simplify: (3x²y)(4xy³)
- 12x²y³
- 12x³y⁴ (Correct answer)
- 7x³y⁴
- 12x³y³
Correct answer: 12x³y⁴
Multiply coefficients: 3 × 4 = 12; add exponents: x²⁺¹ = x³, y¹⁺³ = y⁴ → 12x³y⁴.
Question 2: A triangle has angles measuring 35° and 78°. What is the measure of the third angle?
- 57°
- 67° (Correct answer)
- 73°
- 87°
Correct answer: 67°
180° − 35° − 78° = 67°.
Question 3: What is 15% of 240?
- 30
- 36 (Correct answer)
- 40
- 24
Correct answer: 36
15% × 240 = 0.15 × 240 = 36.
Question 4: A car travels 180 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
- 250 miles
- 270 miles
- 300 miles (Correct answer)
- 360 miles
Correct answer: 300 miles
Speed = 180 ÷ 3 = 60 mph; distance in 5 hours = 60 × 5 = 300 miles.
Question 5: Which expression is equivalent to 4(3x − 2) − 2(x + 5)?
- 10x − 18 (Correct answer)
- 10x + 2
- 14x − 18
- 10x − 2
Correct answer: 10x − 18
12x − 8 − 2x − 10 = 10x − 18.
Question 6: The probability of drawing a red card from a standard 52-card deck is:
- 1/4
- 1/2 (Correct answer)
- 1/13
- 1/26
Correct answer: 1/2
A standard deck has 26 red cards out of 52, so the probability is 26/52 = 1/2.
Question 7: Which number is irrational?
- √49
- √36
- √25
- √50 (Correct answer)
Correct answer: √50
√50 cannot be simplified to a whole number or simple fraction; √49=7, √36=6, √25=5 are all rational.
Achievement Test Standardized Achievement Mathematics 3
Simplify: (3x²y)(4xy³)