ATAR Calculation Fundamentals 3 — Questions and Answers
Question 1: What is the value of √(144) + √(25)?
- 17 (Correct answer)
- 19
- 13
- 15
Correct answer: 17
√144 = 12 and √25 = 5, so 12 + 5 = 17.
Question 2: A shirt costs $45 after a 25% discount. What was the original price?
- $56.25
- $60.00 (Correct answer)
- $54.00
- $57.50
Correct answer: $60.00
If $45 is 75% of the original price, then original = 45 ÷ 0.75 = $60.00.
Question 3: What is the least common multiple (LCM) of 12 and 18?
- 6
- 36 (Correct answer)
- 24
- 54
Correct answer: 36
The LCM of 12 and 18 is 36 (12×3 = 36 and 18×2 = 36).
Question 4: Solve for x: 4x − 7 = 21
- x = 6
- x = 7 (Correct answer)
- x = 8
- x = 5
Correct answer: x = 7
4x = 21 + 7 = 28, so x = 28 ÷ 4 = 7.
Question 5: A recipe requires 2.5 cups of flour to make 20 cookies. How many cups are needed for 48 cookies?
- 5.5 cups
- 6.0 cups (Correct answer)
- 6.5 cups
- 7.0 cups
Correct answer: 6.0 cups
Ratio: 2.5/20 = x/48; x = 2.5 × 48/20 = 120/20 = 6.0 cups.
Question 6: What is the area of a triangle with base 10 m and height 6 m?
- 60 m²
- 30 m² (Correct answer)
- 15 m²
- 45 m²
Correct answer: 30 m²
Area = ½ × base × height = ½ × 10 × 6 = 30 m².
Question 7: Express 0.004 in scientific notation.
- 4 × 10^−2
- 4 × 10^−3 (Correct answer)
- 4 × 10^−4
- 0.4 × 10^−2
Correct answer: 4 × 10^−3
0.004 = 4 × 10^−3 (move the decimal 3 places to the right).
ATAR Calculation Fundamentals 3
What is the value of √(144) + √(25)?