IAR Math Concepts and Reasoning 2 — Questions and Answers
Question 1: A recipe uses 3/4 cup of sugar for every 2 cups of flour. How much sugar is needed for 6 cups of flour?
- 2 1/4 cups (Correct answer)
- 1 1/2 cups
- 3 cups
- 9/4 cups only
Correct answer: 2 1/4 cups
6 cups of flour is 3 times 2 cups, so multiply 3/4 by 3 to get 2 1/4 cups.
Question 2: Which expression is equivalent to 4(2x + 3)?
- 8x + 12 (Correct answer)
- 8x + 3
- 6x + 7
- 2x + 12
Correct answer: 8x + 12
Distribute the 4 to both terms: 4 times 2x is 8x and 4 times 3 is 12.
Question 3: What is the value of 3² + 4 × 2?
- 17 (Correct answer)
- 26
- 22
- 14
Correct answer: 17
Following order of operations, 3² = 9 and 4 × 2 = 8, so 9 + 8 = 17.
Question 4: A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
- 60 cm² (Correct answer)
- 34 cm²
- 17 cm²
- 60 cm
Correct answer: 60 cm²
Area equals length times width, so 12 × 5 = 60 square centimeters.
Question 5: If a number is divisible by both 2 and 3, it must also be divisible by which number?
- 6 (Correct answer)
- 5
- 9
- 4
Correct answer: 6
A number divisible by both 2 and 3 is divisible by their product, 6.
Question 6: What is 0.6 written as a fraction in simplest form?
- 3/5 (Correct answer)
- 6/100
- 2/3
- 1/6
Correct answer: 3/5
0.6 equals 6/10, which simplifies to 3/5 by dividing both parts by 2.
Question 7: A line passes through the points (0, 2) and (3, 8). What is its slope?
- 2 (Correct answer)
- 6
- 3
- 1/2
Correct answer: 2
Slope equals the change in y over the change in x, so (8 − 2)/(3 − 0) = 6/3 = 2.
IAR Math Concepts and Reasoning 2
A recipe uses 3/4 cup of sugar for every 2 cups of flour.
How much sugar is needed for 6 cups of flour?