MDTP Arithmetic and Number Sense 1 — Questions and Answers
Question 1: Which number is both a perfect square and a perfect cube?
- 16
- 27
- 64 (Correct answer)
- 100
Correct answer: 64
64 = 8² = 4³, making it both a perfect square and a perfect cube.
Question 2: What is 15% of 240?
- 24
- 32
- 36 (Correct answer)
- 48
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 3: Which fraction is equivalent to 0.625?
- 1/2
- 3/4
- 5/8 (Correct answer)
- 2/3
Correct answer: 5/8
0.625 = 625/1000 = 5/8 after simplifying by dividing numerator and denominator by 125.
Question 4: What is the least common multiple (LCM) of 12 and 18?
- 6
- 24
- 36 (Correct answer)
- 216
Correct answer: 36
The LCM of 12 and 18 is 36 since 36 is the smallest number divisible by both.
Question 5: Evaluate: (-3)³
- 9
- -9
- 27
- -27 (Correct answer)
Correct answer: -27
(-3)³ = (-3)(-3)(-3) = 9(-3) = -27.
Question 6: Order from least to greatest: 3/8, 0.4, 5/12
- 3/8, 0.4, 5/12 (Correct answer)
- 0.4, 3/8, 5/12
- 5/12, 0.4, 3/8
- 3/8, 5/12, 0.4
Correct answer: 3/8, 0.4, 5/12
Converting all to decimals: 3/8=0.375, 0.4=0.4, 5/12≈0.417, so the order is 3/8, 0.4, 5/12.
Which number is both a perfect square and a perfect cube?