WIAT Mathematical Problem Solving & Computation 3 — Questions and Answers
Question 1: A rectangle has a length of 12 cm and a width of 8 cm. What is its area?
- 40 cm²
- 80 cm²
- 96 cm² (Correct answer)
- 120 cm²
Correct answer: 96 cm²
Area = length × width = 12 × 8 = 96 cm².
Question 2: Order these fractions from least to greatest: 3/4, 2/3, 5/6.
- 2/3, 3/4, 5/6 (Correct answer)
- 3/4, 2/3, 5/6
- 5/6, 3/4, 2/3
- 2/3, 5/6, 3/4
Correct answer: 2/3, 3/4, 5/6
Converting to 12ths: 8/12, 9/12, 10/12 — so 2/3 < 3/4 < 5/6.
Question 3: A spinner has 8 equal sections numbered 1–8. What is the probability of spinning an even number?
- 1/4
- 3/8
- 1/2 (Correct answer)
- 5/8
Correct answer: 1/2
There are 4 even numbers (2, 4, 6, 8) out of 8 sections, so probability = 4/8 = 1/2.
Question 4: What is the least common multiple (LCM) of 6 and 9?
- 3
- 18 (Correct answer)
- 27
- 54
Correct answer: 18
Multiples of 6: 6, 12, 18; multiples of 9: 9, 18 — LCM = 18.
Question 5: A tank holds 120 gallons. It is currently 3/5 full. How many gallons are in the tank?
- 60
- 66
- 72 (Correct answer)
- 80
Correct answer: 72
3/5 × 120 = 360/5 = 72 gallons.
Question 6: Solve: 4(x − 3) = 20.
- x = 2
- x = 5
- x = 8 (Correct answer)
- x = 23
Correct answer: x = 8
Divide both sides by 4 to get x − 3 = 5, then add 3: x = 8.
Question 7: A number decreased by 40% equals 54. What is the original number?
- 75.6
- 81
- 90 (Correct answer)
- 94
Correct answer: 90
If the number × 0.60 = 54, then the number = 54 ÷ 0.60 = 90.
A rectangle has a length of 12 cm and a width of 8 cm.
What is its area?