ATAR Calculation Fundamentals 2 — Questions and Answers
Question 1: A student scores 72, 85, 91, 68, and 79 on five tests. What is the mean score?
- 76.8
- 79.0 (Correct answer)
- 79.5
- 80.2
Correct answer: 79.0
Mean = (72+85+91+68+79)/5 = 395/5 = 79.0.
Question 2: What is 3/8 expressed as a decimal?
- 0.325
- 0.375 (Correct answer)
- 0.425
- 0.275
Correct answer: 0.375
3 ÷ 8 = 0.375.
Question 3: If a car travels 240 km in 3 hours, what is its average speed in km/h?
- 70 km/h
- 75 km/h
- 80 km/h (Correct answer)
- 85 km/h
Correct answer: 80 km/h
Speed = distance ÷ time = 240 ÷ 3 = 80 km/h.
Question 4: Which of the following is equivalent to 2^5 × 2^3?
- 2^8 (Correct answer)
- 2^15
- 4^8
- 2^2
Correct answer: 2^8
When multiplying powers with the same base, add exponents: 2^(5+3) = 2^8.
Question 5: A rectangle has a length of 12 cm and a width of 7 cm. What is its perimeter?
- 38 cm (Correct answer)
- 84 cm
- 19 cm
- 42 cm
Correct answer: 38 cm
Perimeter = 2(length + width) = 2(12+7) = 2×19 = 38 cm.
Question 6: What is 15% of 240?
- 30
- 36 (Correct answer)
- 42
- 32
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: Simplify the ratio 36:48.
- 4:3
- 3:4 (Correct answer)
- 6:8
- 9:12
Correct answer: 3:4
Divide both terms by their GCF (12): 36÷12 = 3 and 48÷12 = 4, giving 3:4.
ATAR Calculation Fundamentals 2
A student scores 72, 85, 91, 68, and 79 on five tests.
What is the mean score?