OAR OAR Math Skills 5 — Questions and Answers
Question 1: What is the least common multiple (LCM) of 8 and 12?
- 16
- 20
- 24 (Correct answer)
- 48
Correct answer: 24
Multiples of 8: 8,16,24…; multiples of 12: 12,24…; LCM = 24.
Question 2: A car uses 5 gallons of gas to travel 175 miles. How many miles can it travel on 8 gallons?
- 240 miles
- 270 miles
- 280 miles (Correct answer)
- 300 miles
Correct answer: 280 miles
Rate = 175/5 = 35 mpg; 35 × 8 = 280 miles.
Question 3: Solve the inequality: 2x − 4 > 10
- x > 3
- x > 7 (Correct answer)
- x > 5
- x > 6
Correct answer: x > 7
2x > 14, so x > 7.
Question 4: What is 15% of 320?
- 42
- 45
- 48 (Correct answer)
- 56
Correct answer: 48
0.15 × 320 = 48.
Question 5: A right triangle has legs of 9 and 12. What is the length of the hypotenuse?
- 13
- 14
- 15 (Correct answer)
- 16
Correct answer: 15
c² = 9² + 12² = 81 + 144 = 225; c = 15.
Question 6: What is the value of |−18| + |5|?
- 13
- −13
- 23 (Correct answer)
- −23
Correct answer: 23
Absolute values are always non-negative: 18 + 5 = 23.
Question 7: A number is increased by 25% and the result is 100. What was the original number?
- 75
- 78
- 80 (Correct answer)
- 85
Correct answer: 80
1.25 × n = 100; n = 100 / 1.25 = 80.
What is the least common multiple (LCM) of 8 and 12?