Find Whole From Part Quiz: Determining the Whole from Known Part and Percentage

  • 6th Grade
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| Questions: 20 | Updated: Dec 17, 2025
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1) If 30% of a class equals 18 students, what is the total class size?

Explanation

Whole = part ÷ rate = 18 ÷ 0.30 = 60. Check: 30% of 60 = 0.30×60 = 18.

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About This Quiz
Find Whole From Part Quiz: Determining The Whole From Known Part And Percentage - Quiz

Can you work backward from a known part to uncover the entire original amount? In this quiz, you’ll practice reversing percent relationships to find the whole when only a portion is given. You’ll translate real statements into equations, reason through proportional setups, and learn how to avoid common mistakes. Step... see moreby step, you’ll grow more comfortable interpreting how parts relate to totals and how to reconstruct a complete value with precision. but why the reasoning works.
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2) If 25% of a team is 45 people, then the total team size is 180.

Explanation

Compute total: 45 ÷ 0.25 = 180. Statement matches the calculation, so it is true.

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3) If 15% of a group is 24 people, the total group size is ____.

Explanation

Compute total: Whole = 24 ÷ 0.15 = 160. Verify: 0.15×160 = 24.

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4) A school reports that 40% of its students, or 52 students, joined the club. What is the total enrollment?

Explanation

Whole = 52 ÷ 0.40 = 130. Check: 0.40×130 = 52.

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5) Select all formulas that correctly compute the whole W from a known part P and a percent p%.

Explanation

Percent p% as a decimal is p/100. Reversing P = (p/100)·W gives W = P ÷ (p/100) = 100·P ÷ p = (P×100)/p. Multiplying by p/100 or by (1−p/100) gives the part, not the whole.

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6) In a survey, 12 respondents represent 20% of all respondents. What is the total number of respondents?

Explanation

Whole = 12 ÷ 0.20 = 60.

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7) If 10% of the class is 5 students, then the class size is 50.

Explanation

Whole = 5 ÷ 0.10 = 50. Statement is true.

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8) If 35% of the attendees is 49 people, the total attendance is ____.

Explanation

Whole = 49 ÷ 0.35 = 140. Check: 0.35×140 = 49.

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9) If 12.5% of a club equals 25 members, what is the total membership?

Explanation

Use decimal rate 0.125. Whole = 25 ÷ 0.125 = 200.

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10) Select all pairs (percent, decimal) that represent the same rate.

Explanation

Convert percent to decimal by dividing by 100: 20%→0.20, 25%→0.25, 12.5%→0.125, 5%→0.05, 30%→0.30.

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11) If 60% of a class equals 27 students, what is the total class size?

Explanation

Whole = 27 ÷ 0.60 = 45.

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12) If 35% of a group is 70 people, then the total group is 200.

Explanation

Whole = 70 ÷ 0.35 = 200. Statement is true.

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13) If 2% of a school is 14 students, the total number of students is ____.

Explanation

Whole = 14 ÷ 0.02 = 700.

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14) A city reports that 63% of residents, or 18,900 people, subscribed to alerts. What is the total population?

Explanation

Whole = 18,900 ÷ 0.63 = 30,000.

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15) Which statements about finding the whole from a known part and percent are true? Select all that apply.

Explanation

Rearranging part = rate×whole gives whole = part ÷ rate. With fixed part, increasing the rate reduces the whole. With fixed rate, increasing the part increases the whole. Multiplying part by rate gives the part, not the whole.

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16) If 4% of a quantity is 8, what is the full quantity?

Explanation

Whole = 8 ÷ 0.04 = 200.

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17) If one‑fifth of a team is 9 people, then the team has 45 people in total.

Explanation

One‑fifth = 20% = 0.20. Whole = 9 ÷ 0.20 = 45. True.

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18) If 7.5% of a group equals 15 people, what is the total group size?

Explanation

Use 0.075 as the rate. Whole = 15 ÷ 0.075 = 200.

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19) If 60% of a set is 30, then the total is 80.

Explanation

Compute whole: 30 ÷ 0.60 = 50, not 80. The statement is false.

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20) If 0.5% of a warehouse inventory is 12 items, the total inventory is ____.

Explanation

Rate 0.5% = 0.005. Whole = 12 ÷ 0.005 = 2400.

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If 30% of a class equals 18 students, what is the total class size?
If 25% of a team is 45 people, then the total team size is 180.
If 15% of a group is 24 people, the total group size is ____.
A school reports that 40% of its students, or 52 students, joined the...
Select all formulas that correctly compute the whole W from a known...
In a survey, 12 respondents represent 20% of all respondents. What is...
If 10% of the class is 5 students, then the class size is 50.
If 35% of the attendees is 49 people, the total attendance is ____.
If 12.5% of a club equals 25 members, what is the total membership?
Select all pairs (percent, decimal) that represent the same rate.
If 60% of a class equals 27 students, what is the total class size?
If 35% of a group is 70 people, then the total group is 200.
If 2% of a school is 14 students, the total number of students is...
A city reports that 63% of residents, or 18,900 people, subscribed to...
Which statements about finding the whole from a known part and percent...
If 4% of a quantity is 8, what is the full quantity?
If one‑fifth of a team is 9 people, then the team has 45 people in...
If 7.5% of a group equals 15 people, what is the total group size?
If 60% of a set is 30, then the total is 80.
If 0.5% of a warehouse inventory is 12 items, the total inventory is...
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