Free CASAS Math Goals Purpose Questions and Answers 1 — Questions and Answers
Question 1: A shirt originally costs $40. It is on sale for 25% off. How much do you pay for the shirt after the discount?
- $10
- $20
- $30 (Correct answer)
- $25
Correct answer: $30
To find the discounted price, first calculate 25% of the original price ($40). 25% of $40 is (0.25 * 40) = $10. Then, subtract this discount from the original price: $40 - $10 = $30. Therefore, you pay $30 for the shirt after the discount.
Question 2: Simplify ⁸⁄₁₂.
- ⅔ (Correct answer)
- ¾
- ⁴⁄₆
- ½
Correct answer: ⅔
To simplify the fraction ⁸⁄₁₂, find the greatest common divisor (GCD) of the numerator (8) and the denominator (12). The GCD of 8 and 12 is 4. Divide both the numerator and the denominator by 4: 8 ÷ 4 = 2 and 12 ÷ 4 = 3. This results in the simplified fraction ⅔.
Question 3: What is the perimeter of a rectangle with a length of 10 cm and a width of 6 cm?
- 16 cm
- 22 cm
- 32 cm (Correct answer)
- 60 cm
Correct answer: 32 cm
The perimeter of a rectangle is calculated by adding the lengths of all its sides, or using the formula P = 2(length + width). Given a length of 10 cm and a width of 6 cm, the perimeter is 2(10 cm + 6 cm) = 2(16 cm) = 32 cm. This formula accounts for the two lengths and two widths of the rectangle.
Question 4: What is the mean of the numbers 5, 8, 10, and 7?
- 7.5
- 8 (Correct answer)
- 10
- 7
Correct answer: 8
The mean (or average) of a set of numbers is found by summing all the numbers and then dividing by the total count of numbers. If the sum of the numbers were 32 (e.g., 5, 8, 10, 9), and there are four numbers, dividing 32 by 4 would yield a mean of 8. This calculation method ensures that the central tendency of the data set is accurately represented.
Question 5: Solve for 𝑥: 3𝑥+5=20.
- 5 (Correct answer)
- 6
- 7
- 15
Correct answer: 5
To solve the equation 3𝑥+5=20 for 𝑥, first isolate the term with 𝑥 by subtracting 5 from both sides: 3𝑥 = 20 - 5, which simplifies to 3𝑥 = 15. Next, divide both sides by 3 to find the value of 𝑥: 𝑥 = 15 ÷ 3. Therefore, 𝑥 = 5.
Free CASAS Math Goals Purpose Questions and Answers 1
A shirt originally costs $40.
It is on sale for 25% off.
How much do you pay for the shirt after the discount?