WIAT Mathematical Problem Solving & Computation 4 — Questions and Answers
Question 1: What is the perimeter of an equilateral triangle with a side length of 9 inches?
- 18 inches
- 24 inches
- 27 inches (Correct answer)
- 36 inches
Correct answer: 27 inches
An equilateral triangle has 3 equal sides, so perimeter = 3 × 9 = 27 inches.
Question 2: Evaluate: 3 + 6 × 2 − 4 ÷ 2.
- 11
- 13 (Correct answer)
- 14
- 16
Correct answer: 13
Using order of operations: 3 + 12 − 2 = 13.
Question 3: A bag contains 5 red, 3 blue, and 2 green marbles. If one marble is picked at random, what is the probability it is NOT red?
- 1/2 (Correct answer)
- 2/5
- 3/10
- 1/10
Correct answer: 1/2
There are 5 non-red marbles out of 10 total, so P(not red) = 5/10 = 1/2.
Question 4: Which expression is equivalent to 4x + 8?
- 4(x + 2) (Correct answer)
- 2(2x + 8)
- 8(x + 4)
- 4(x + 8)
Correct answer: 4(x + 2)
Factoring 4x + 8 by pulling out 4 gives 4(x + 2).
Question 5: A 6-foot ladder leans against a wall. The base is 3 feet from the wall. Using the Pythagorean theorem, how high up the wall does the ladder reach (to the nearest tenth)?
- 4.2 feet
- 5.2 feet (Correct answer)
- 5.5 feet
- 6.7 feet
Correct answer: 5.2 feet
h² = 6² − 3² = 36 − 9 = 27, so h = √27 ≈ 5.2 feet.
Question 6: What is 4,800 ÷ 0.06?
- 800
- 8,000
- 80,000 (Correct answer)
- 288
Correct answer: 80,000
4,800 ÷ 0.06 = 4,800 × (100/6) = 480,000/6 = 80,000.
Question 7: The mean of five test scores is 82. If four of the scores are 78, 85, 90, and 74, what is the fifth score?
- 79
- 83 (Correct answer)
- 88
- 91
Correct answer: 83
Total = 82 × 5 = 410; sum of four scores = 327; fifth score = 410 − 327 = 83.
WIAT Mathematical Problem Solving & Computation 4
What is the perimeter of an equilateral triangle with a side length of 9 inches?