Achievement Test Standardized Achievement Problem Solving 3 — Questions and Answers
Question 1: If 5x − 3 = 22, what is the value of x?
- 4
- 5 (Correct answer)
- 3.8
- 6
Correct answer: 5
5x = 25, so x = 5.
Question 2: A pizza is cut into 8 equal slices. After a party, 3 slices remain. What fraction of the pizza was eaten?
- 3/8
- 5/8 (Correct answer)
- 3/5
- 1/2
Correct answer: 5/8
8 − 3 = 5 slices eaten; 5/8 of the pizza was eaten.
Question 3: Which number is a prime number?
- 51
- 57
- 53 (Correct answer)
- 55
Correct answer: 53
53 is divisible only by 1 and itself; the others have additional factors.
Question 4: A swimming pool holds 12,000 gallons of water. A pump drains 250 gallons per hour. How many hours will it take to drain 3,000 gallons?
- 10 hours
- 15 hours
- 12 hours (Correct answer)
- 8 hours
Correct answer: 12 hours
3,000 ÷ 250 = 12 hours.
Question 5: What is the least common multiple (LCM) of 6 and 8?
- 14
- 48
- 24 (Correct answer)
- 16
Correct answer: 24
The LCM of 6 and 8 is 24, the smallest number divisible by both.
Question 6: On a number line, which point is between −3 and −1?
- −4
- 0
- −2 (Correct answer)
- 1
Correct answer: −2
−2 lies between −3 and −1 on the number line.
Question 7: A car uses 2.5 gallons of gas to travel 75 miles. How many miles per gallon does it get?
- 25 mpg
- 32 mpg
- 30 mpg (Correct answer)
- 37.5 mpg
Correct answer: 30 mpg
75 ÷ 2.5 = 30 miles per gallon.
Achievement Test Standardized Achievement Problem Solving 3
If 5x − 3 = 22, what is the value of x?