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Problem Explanations
Question 1
Convert 5 3/4 to a decimal. Round to the nearest tenth.
A. 5.75
B. 5.7
C. 5.8
D. 6
Answer: C. 5.8
Explanation: Convert the mixed number 5 3/4 to an improper fraction: (5 × 4 + 3)/4 = 23/4.
Divide 23 by 4: 23 ÷ 4 = 5.75. Round to the nearest tenth: 5.75 rounds to 5.8.
Question 2
A warehouse worker ships 25 boxes daily, each with 3 shipping labels. If the inventory has 500
labels, how many days will it take to use them? Round to the nearest whole number.
A. 7 days
B. 8 days
C. 20 days
D. 6 days
Answer: A. 7 days
Explanation: Calculate daily label usage: 25 boxes × 3 labels = 75 labels/day. Divide total labels
by daily usage: 500 ÷ 75 ≈ 6.67. Round to the nearest whole number: 6.67 rounds to 7.
Question 3
Solve the proportion: 6:10 :: 24:x.
A. 40
B. 25
C. 240
D. 4
Answer: A. 40
Explanation: Set up the proportion: 6/10 = 24/x. Cross-multiply: 6x = 10 × 24 = 240. Solve for
x: x = 240 ÷ 6 = 40.
, Question 4
A class of 25 students has 44% boys. How many boys are there?
A. 10 boys
B. 11 boys
C. 9 boys
D. 13 boys
Answer: B. 11 boys
Explanation: Calculate 44% of 25: 0.44 × 25 = 11. Thus, there are 11 boys.
Question 5
Divide 3.44 by 0.6.
A. 0.57
B. 5.73
C. 11.41
D. 2.33
Answer: B. 5.73
Explanation: To divide 3.44 by 0.6, rewrite 0.6 as 6/10. Then: 3.44 ÷ 0.6 = 3.44 × 10/6 = 34.4/6
≈ 5.733. Round to two decimal places: 5.73.
Question 6
If x = 11, solve: (x + 44) / (2x).
A. 55/22
B. 5/2
C. 44/11
D. 11/2
Answer: A. 55/22
Explanation: Substitute x = 11: (11 + 44) / (2 × 11) = 55/22. The fraction is already simplified.
Question 7
A mother changes her baby’s diaper 6 times a day. How many diapers are needed in a year (365
days)?
A. 2190 diapers
B. 2100 diapers
C. 2000 diapers