Core Academic Skills Assessment Math 2 — Questions and Answers
Question 1: A recipe calls for 2¾ cups of flour. If you want to make 1.5 times the recipe, how many cups of flour do you need?
- 3¾ cups
- 4 cups
- 4⅛ cups (Correct answer)
- 4½ cups
Correct answer: 4⅛ cups
2¾ = 2.75; 2.75 × 1.5 = 4.125 = 4⅛ cups.
Question 2: What is the value of x if 3(x − 4) = 2x + 1?
- 11
- 13 (Correct answer)
- 5
- 7
Correct answer: 13
3x − 12 = 2x + 1 → x = 13.
Question 3: A store marks up an item 40% from its cost of $85. What is the selling price?
- $109.00
- $119.00 (Correct answer)
- $34.00
- $125.00
Correct answer: $119.00
$85 × 1.40 = $119.00.
Question 4: The perimeter of a rectangle is 54 cm. If the length is twice the width, what is the area?
- 162 cm² (Correct answer)
- 182 cm²
- 243 cm²
- 108 cm²
Correct answer: 162 cm²
Width = 9 cm, length = 18 cm; area = 9 × 18 = 162 cm².
Question 5: Which of the following is equivalent to 5⁻²?
- −25
- 1/25 (Correct answer)
- −1/25
- 25
Correct answer: 1/25
A negative exponent means reciprocal: 5⁻² = 1/5² = 1/25.
Question 6: A line passes through (0, 3) and (4, 11). What is its slope?
- 2 (Correct answer)
- ½
- 3
- 8
Correct answer: 2
Slope = (11 − 3)/(4 − 0) = 8/4 = 2.
Question 7: A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of randomly drawing a blue marble?
- 1/4
- 3/12 (Correct answer)
- 1/3
- 5/12
Correct answer: 3/12
P(blue) = 3/12 = 1/4, which equals answer choice B expressed in lowest terms; 3/12 is the exact fraction before simplifying.
Core Academic Skills Assessment Math 2
A recipe calls for 2¾ cups of flour.
If you want to make 1.5 times the recipe, how many cups of flour do you need?