OAR OAR Math Skills 2 — Questions and Answers
Question 1: A boat travels 240 miles in 6 hours. At the same speed, how long will it take to travel 400 miles?
- 8 hours
- 10 hours (Correct answer)
- 12 hours
- 14 hours
Correct answer: 10 hours
Speed = 240/6 = 40 mph; time = 400/40 = 10 hours.
Question 2: What is the value of 3x − 7 when x = 5?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
3(5) − 7 = 15 − 7 = 8.
Question 3: A rectangle has a length of 14 cm and a width of 9 cm. What is its perimeter?
- 23 cm
- 46 cm (Correct answer)
- 126 cm
- 52 cm
Correct answer: 46 cm
Perimeter = 2(14 + 9) = 2(23) = 46 cm.
Question 4: Which of the following is equivalent to 5²× 5³?
- 5⁵ (Correct answer)
- 5⁶
- 25⁵
- 10⁵
Correct answer: 5⁵
When multiplying powers with the same base, add exponents: 5^(2+3) = 5⁵.
Question 5: If 40% of a number is 56, what is the number?
- 112
- 120
- 140 (Correct answer)
- 160
Correct answer: 140
0.40 × n = 56, so n = 56 / 0.40 = 140.
Question 6: A triangle has angles measuring 55° and 75°. What is the measure of the third angle?
- 40°
- 50° (Correct answer)
- 60°
- 70°
Correct answer: 50°
The angles of a triangle sum to 180°: 180 − 55 − 75 = 50°.
Question 7: Simplify: (4x²)(3x³)
- 7x⁵
- 12x⁵ (Correct answer)
- 12x⁶
- 7x⁶
Correct answer: 12x⁵
Multiply coefficients (4 × 3 = 12) and add exponents (2 + 3 = 5): 12x⁵.
OAR OAR Math Skills 2
A boat travels 240 miles in 6 hours.
At the same speed, how long will it take to travel 400 miles?