WI Forward - Wisconsin Forward Mathematics: Numbers and Operations Questions and Answers 2 — Questions and Answers
Question 1: What is the GCF of 36 and 48?
Correct answer: 12
Common factors include 1,2,3,4,6,12. The greatest is 12.
36 = 2² x 3², 48 = 2⁴ x 3. GCF uses lowest powers: 2² x 3 = 12.
Question 2: What is 3.75 as a fraction in simplest form?
- 15/4 (Correct answer)
- 3/4
- 37/10
- 375/100
Correct answer: 15/4
3.75 = 375/100 = 15/4.
375/100, divide both by 25: 15/4. As a mixed number: 3 3/4.
Question 3: Which is equivalent to 2⁻³?
- -8
- -6
- 1/8 (Correct answer)
- 8
Correct answer: 1/8
Negative exponent means reciprocal: 2⁻³ = 1/2³ = 1/8.
a⁻ⁿ = 1/aⁿ. So 2⁻³ = 1/8. The negative does NOT make the result negative.
Question 4: A bag has 3 red, 5 blue, and 2 green marbles. What is P(blue)?
- 3/10
- 1/2 (Correct answer)
- 5/10
- 2/5
Correct answer: 1/2
P(blue) = 5/10 = 1/2.
Total = 10. Blue = 5. P = 5/10 = 1/2 = 50%.
Question 5: What is (-8) x (-3)?
- -24
- 24 (Correct answer)
- -11
- 11
Correct answer: 24
Negative times negative equals positive: 24.
Two negatives multiply to give a positive. 8 x 3 = 24.
Question 6: Order from least to greatest: 0.45, 3/8, 40%, 1/2
- 3/8, 40%, 0.45, 1/2 (Correct answer)
- 40%, 3/8, 0.45, 1/2
- 0.45, 3/8, 1/2, 40%
- 1/2, 0.45, 40%, 3/8
Correct answer: 3/8, 40%, 0.45, 1/2
As decimals: 0.375, 0.40, 0.45, 0.50.
3/8=0.375, 40%=0.40, 0.45, 1/2=0.50. Order: 0.375 < 0.40 < 0.45 < 0.50.
