AC-HPAT ALGONQUIN COLLEGE TEST PREP ARITHMETIC FINAL
EXAM QUESTIONS AND ANSWERS 100% VERIFIED | LATEST UPDATE
2025
Question 1
Which of the following fractions is equal to the decimal 0.06?
A) 6/10
B) 6/100
C) 6/1000
D) 1/6
Correct Answer: B) 6/100
Rationale: The decimal 0.06 is read as "six-hundredths." When written as a fraction, this
translates directly to 6 over 100.
Question 2
What is the value of the expression 4/10 + 3/100?
A) 7/110
B) 7/100
C) 43/100
D) 43/10
Correct Answer: C) 43/100
Rationale: To add fractions, you need a common denominator. 4/10 can be rewritten as
40/100. The expression then becomes 40/100 + 3/100. Adding the numerators gives 43, and
the denominator remains 100, resulting in 43/100.
Question 3
A store stocked 150 cans of popcorn. At the end of the day, 72 of those cans had been sold. What
percent of the popcorn was sold?
A) 45%
B) 48%
C) 52%
D) 78%
Correct Answer: B) 48%
Rationale: To find the percent, divide the part (cans sold) by the whole (cans stocked) and
multiply by 100. Calculation: (72 ÷ 150) × 100 = 0.48 × 100 = 48%.
Question 4
Given the numbers: 8/3, 2.28, 10/12, 0.199. Which number has the greatest value?
A) 8/3
B) 2.28
C) 10/12
D) 0.199
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Correct Answer: A) 8/3
Rationale: To compare the values, it's helpful to convert them to decimals. 8/3 is
approximately 2.67. 10/12 is approximately 0.83. The values are 2.67, 2.28, 0.83, and 0.199.
The largest of these is 2.67, which is 8/3.
Question 5
What is 25% of $130.00?
A) $25.00
B) $32.50
C) $52.00
D) $105.00
Correct Answer: B) $32.50
Rationale: To find 25% of a number, convert the percentage to a decimal (25% = 0.25) and
multiply. Calculation: $130.00 × 0.25 = $32.50.
Question 6
Which of the following decimals is equivalent to the fraction 8/25?
A) 0.08
B) 0.25
C) 0.32
D) 3.125
Correct Answer: C) 0.32
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator.
Calculation: 8 ÷ 25 = 0.32. Alternatively, you can convert the fraction to have a
denominator of 100: 8/25 = 32/100, which is 0.32.
Question 7
What is the remainder when 599 is divided by 9?
A) 0
B) 3
C) 5
D) 66
Correct Answer: C) 5
Rationale: To find the remainder, perform the division. 599 divided by 9 is 66 with some
left over. To find the exact remainder, multiply 9 × 66 = 594. Then, subtract this from the
original number: 599 − 594 = 5. The remainder is 5.
Question 8
What is 0.8637 rounded to the nearest hundredth?
A) 0.86
B) 0.87
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C) 0.864
D) 0.9
Correct Answer: A) 0.86
Rationale: The hundredths place is the second digit after the decimal (the 6). To round,
look at the next digit, which is the 3 in the thousandths place. Since 3 is less than 5, you
round down, which means you keep the hundredths digit as it is. The result is 0.86.
Question 9
30 is 60% of what number?
A) 18
B) 50
C) 90
D) 180
Correct Answer: B) 50
Rationale: To find the number, divide the part (30) by the percentage in decimal form (60%
= 0.60). Calculation: 30 ÷ 0.60 = 50.
Question 10
If 4/3 ÷ 1/6 = p, what is the value of p?
A) 1/8
B) 2/9
C) 5/9
D) 8
Correct Answer: D) 8
Rationale: To divide by a fraction, you multiply by its reciprocal. The reciprocal of 1/6 is
6/1. The expression becomes 4/3 × 6/1 = 24/3. Simplifying this fraction gives
8. Correction: The source material's calculation is incorrect. I will use the correct calculation for
the rationale.
Question 11
Carole works at a bookstore and a restaurant. In a 28-day period, Carole worked 1/4 of the days
at the bookstore and did not work on 1/14 of the days. On the remaining days, she worked at the
restaurant. How many days did Carole work at the restaurant?
A) 7
B) 19
C) 21
D) 26
Correct Answer: B) 19
Rationale: First, calculate the days worked at the bookstore: 28 × 1/4 = 7 days. Next,
EXAM QUESTIONS AND ANSWERS 100% VERIFIED | LATEST UPDATE
2025
Question 1
Which of the following fractions is equal to the decimal 0.06?
A) 6/10
B) 6/100
C) 6/1000
D) 1/6
Correct Answer: B) 6/100
Rationale: The decimal 0.06 is read as "six-hundredths." When written as a fraction, this
translates directly to 6 over 100.
Question 2
What is the value of the expression 4/10 + 3/100?
A) 7/110
B) 7/100
C) 43/100
D) 43/10
Correct Answer: C) 43/100
Rationale: To add fractions, you need a common denominator. 4/10 can be rewritten as
40/100. The expression then becomes 40/100 + 3/100. Adding the numerators gives 43, and
the denominator remains 100, resulting in 43/100.
Question 3
A store stocked 150 cans of popcorn. At the end of the day, 72 of those cans had been sold. What
percent of the popcorn was sold?
A) 45%
B) 48%
C) 52%
D) 78%
Correct Answer: B) 48%
Rationale: To find the percent, divide the part (cans sold) by the whole (cans stocked) and
multiply by 100. Calculation: (72 ÷ 150) × 100 = 0.48 × 100 = 48%.
Question 4
Given the numbers: 8/3, 2.28, 10/12, 0.199. Which number has the greatest value?
A) 8/3
B) 2.28
C) 10/12
D) 0.199
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Correct Answer: A) 8/3
Rationale: To compare the values, it's helpful to convert them to decimals. 8/3 is
approximately 2.67. 10/12 is approximately 0.83. The values are 2.67, 2.28, 0.83, and 0.199.
The largest of these is 2.67, which is 8/3.
Question 5
What is 25% of $130.00?
A) $25.00
B) $32.50
C) $52.00
D) $105.00
Correct Answer: B) $32.50
Rationale: To find 25% of a number, convert the percentage to a decimal (25% = 0.25) and
multiply. Calculation: $130.00 × 0.25 = $32.50.
Question 6
Which of the following decimals is equivalent to the fraction 8/25?
A) 0.08
B) 0.25
C) 0.32
D) 3.125
Correct Answer: C) 0.32
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator.
Calculation: 8 ÷ 25 = 0.32. Alternatively, you can convert the fraction to have a
denominator of 100: 8/25 = 32/100, which is 0.32.
Question 7
What is the remainder when 599 is divided by 9?
A) 0
B) 3
C) 5
D) 66
Correct Answer: C) 5
Rationale: To find the remainder, perform the division. 599 divided by 9 is 66 with some
left over. To find the exact remainder, multiply 9 × 66 = 594. Then, subtract this from the
original number: 599 − 594 = 5. The remainder is 5.
Question 8
What is 0.8637 rounded to the nearest hundredth?
A) 0.86
B) 0.87
, [Type here]
C) 0.864
D) 0.9
Correct Answer: A) 0.86
Rationale: The hundredths place is the second digit after the decimal (the 6). To round,
look at the next digit, which is the 3 in the thousandths place. Since 3 is less than 5, you
round down, which means you keep the hundredths digit as it is. The result is 0.86.
Question 9
30 is 60% of what number?
A) 18
B) 50
C) 90
D) 180
Correct Answer: B) 50
Rationale: To find the number, divide the part (30) by the percentage in decimal form (60%
= 0.60). Calculation: 30 ÷ 0.60 = 50.
Question 10
If 4/3 ÷ 1/6 = p, what is the value of p?
A) 1/8
B) 2/9
C) 5/9
D) 8
Correct Answer: D) 8
Rationale: To divide by a fraction, you multiply by its reciprocal. The reciprocal of 1/6 is
6/1. The expression becomes 4/3 × 6/1 = 24/3. Simplifying this fraction gives
8. Correction: The source material's calculation is incorrect. I will use the correct calculation for
the rationale.
Question 11
Carole works at a bookstore and a restaurant. In a 28-day period, Carole worked 1/4 of the days
at the bookstore and did not work on 1/14 of the days. On the remaining days, she worked at the
restaurant. How many days did Carole work at the restaurant?
A) 7
B) 19
C) 21
D) 26
Correct Answer: B) 19
Rationale: First, calculate the days worked at the bookstore: 28 × 1/4 = 7 days. Next,
