AzM2 Advanced Topics 3 — Questions and Answers
Question 1: Which expression represents 'a number n increased by 15 equals 42'?
- n - 15 = 42
- n × 15 = 42
- n + 15 = 42 (Correct answer)
- n ÷ 15 = 42
Correct answer: n + 15 = 42
'Increased by' means addition, so the equation is n + 15 = 42.
Question 2: A data set shows test scores: 72, 85, 90, 85, 68. What is the mode?
- 90
- 72
- 80
- 85 (Correct answer)
Correct answer: 85
The mode is the value that appears most often; 85 appears twice while all others appear once.
Question 3: Which of the following is NOT a property of a parallelogram?
- Opposite sides are parallel
- Opposite angles are equal
- All four sides are equal in length (Correct answer)
- Opposite sides are equal in length
Correct answer: All four sides are equal in length
A parallelogram has equal opposite sides, but all four sides are equal only in a rhombus or square.
Question 4: A baker uses 2/3 cup of sugar for one batch of cookies. How much sugar is needed for 3 batches?
- 1 cup
- 6/3 cups (2 cups) (Correct answer)
- 1/3 cup
- 3/2 cups
Correct answer: 6/3 cups (2 cups)
3 × 2/3 = 6/3 = 2 cups of sugar are needed for 3 batches.
Question 5: Which number sentence shows the Distributive Property?
- 4 × (3 + 5) = 4 × 8
- 4 × (3 + 5) = (4 × 3) + (4 × 5) (Correct answer)
- 4 + (3 + 5) = (4 + 3) + 5
- 4 × 3 = 3 × 4
Correct answer: 4 × (3 + 5) = (4 × 3) + (4 × 5)
The Distributive Property states a × (b + c) = (a × b) + (a × c).
Question 6: A line plot shows the following lengths in inches: 1, 1, 2, 2, 2, 3, 4. What is the mean (average)?
- 2 inches
- 2.14 inches (Correct answer)
- 3 inches
- 1.5 inches
Correct answer: 2.14 inches
Sum = 1+1+2+2+2+3+4 = 15; mean = 15 ÷ 7 ≈ 2.14 inches.
Question 7: What is the least common multiple (LCM) of 4 and 6?
- 24
- 2
- 12 (Correct answer)
- 18
Correct answer: 12
Multiples of 4: 4, 8, 12…; multiples of 6: 6, 12…; the smallest common multiple is 12.
AzM2 Advanced Topics 3
Which expression represents 'a number n increased by 15 equals 42'?