Math worksheet titled "Find Percentages of Numbers - Matching Worksheet" with questions asking for percentages of various numbers and corresponding answer choices labeled a through j.
Find Percentages of Numbers - Matching Worksheet with 10 problems and multiple-choice answers.
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Step-by-step solution for: Fiding percentages of a number worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Fiding percentages of a number worksheet
Let’s solve each problem one by one. We’ll calculate the percentage of each number and match it to the correct letter on the right.
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1. What is 25% of 100?
25% means 25 per 100, so:
25% × 100 = (25/100) × 100 = 25 → but wait! The answers are all in percentages? That doesn’t make sense… unless we’re being asked to express the result *as a percentage of something else*? But no — looking again at the worksheet title: “Find Percentages of Numbers” — that usually means compute the value, like “what is 25% of 100?” → answer is 25. But the options are all labeled with % signs — like “a. 11.5%”, etc. That suggests maybe there’s a mistake in how the worksheet is set up? Or perhaps we’re supposed to find what percent the result is of some base? Wait — let me re-read.
Actually — hold on. Let’s look at question 7: “What is 10% of 4?” → 10% of 4 is 0.4. And option h is “1.6%” — not matching. Option e is “0.4%” — oh! Maybe they want the answer expressed as a percentage? But 0.4 is not 0.4%. Unless... perhaps the worksheet has a typo and the answers should be numbers, not percentages? But then why do they have % signs?
Wait — let’s test this idea: Maybe the question is actually asking: “What percent is [result] of [original number]?” No — that would always be the same percentage you started with. For example, 25% of 100 is 25 — and 25 is 25% of 100 — so that would just give back the original percent. That can’t be.
Alternatively — maybe the answers are mislabeled? Or perhaps we’re supposed to compute the value and then see which percentage matches when compared to something? This is confusing.
Wait — let’s try calculating the actual values first, ignoring the % sign on the answers for now, and see if any match numerically.
Let’s go step by step:
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1. 25% of 100
= 0.25 × 100 = 25
Look at options:
a. 11.5% → 11.5
b. 105.6% → 105.6
c. 24.6% → 24.6
d. 77% → 77
e. 0.4% → 0.4
f. 25% → 25 ← this matches!
g. 150.35% → 150.35
h. 1.6% → 1.6
i. 26.25% → 26.25
j. 5.58% → 5.58
So 25 matches f. 25% — even though it says “25%”, the numerical value is 25. So maybe the % sign on the answers is misleading — or perhaps it’s just labeling the choice, not meaning the answer is a percentage. In other words, “f. 25%” might mean “choice f is 25” — and the % is part of the label, not the unit. That makes sense because otherwise none of the answers would make sense dimensionally.
Let’s assume that: the letters a-j are labels, and the numbers next to them are the actual numeric answers (the % sign is probably a formatting error or just part of the label). So we treat “f. 25%” as meaning the answer is 25.
That fits!
So let’s proceed under that assumption: ignore the % sign on the answer choices — they are just labels. The number is the value.
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Now recalculate each:
1. 25% of 100 = 0.25 × 100 = 25 → matches f. 25%
2. 41% of 60 = 0.41 × 60 = 24.6 → matches c. 24.6%
3. 23% of 50 = 0.23 × 50 = 11.5 → matches a. 11.5%
4. 35% of 75 = 0.35 × 75 = let's calculate: 0.35 × 75 = (0.3×75) + (0.05×75) = 22.5 + 3.75 = 26.25 → matches i. 26.25%
5. 97% of 155 = 0.97 × 155
Calculate: 1 × 155 = 155, minus 3% of 155 = 0.03 × 155 = 4.65 → so 155 - 4.65 = 150.35 → matches g. 150.35%
6. 120% of 88 = 1.2 × 88 = 105.6 → matches b. 105.6%
7. 10% of 4 = 0.1 × 4 = 0.4 → matches e. 0.4%
8. 18% of 31 = 0.18 × 31 = let's compute: 0.1×31=3.1, 0.08×31=2.48 → total 3.1+2.48=5.58 → matches j. 5.58%
9. 55% of 140 = 0.55 × 140 = (0.5×140)=70, (0.05×140)=7 → total 77 → matches d. 77%
10. 8% of 20 = 0.08 × 20 = 1.6 → matches h. 1.6%
Perfect! All match.
So the matching is:
1 → f
2 → c
3 → a
4 → i
5 → g
6 → b
7 → e
8 → j
9 → d
10 → h
Final Answer:
1-f, 2-c, 3-a, 4-i, 5-g, 6-b, 7-e, 8-j, 9-d, 10-h
---
1. What is 25% of 100?
25% means 25 per 100, so:
25% × 100 = (25/100) × 100 = 25 → but wait! The answers are all in percentages? That doesn’t make sense… unless we’re being asked to express the result *as a percentage of something else*? But no — looking again at the worksheet title: “Find Percentages of Numbers” — that usually means compute the value, like “what is 25% of 100?” → answer is 25. But the options are all labeled with % signs — like “a. 11.5%”, etc. That suggests maybe there’s a mistake in how the worksheet is set up? Or perhaps we’re supposed to find what percent the result is of some base? Wait — let me re-read.
Actually — hold on. Let’s look at question 7: “What is 10% of 4?” → 10% of 4 is 0.4. And option h is “1.6%” — not matching. Option e is “0.4%” — oh! Maybe they want the answer expressed as a percentage? But 0.4 is not 0.4%. Unless... perhaps the worksheet has a typo and the answers should be numbers, not percentages? But then why do they have % signs?
Wait — let’s test this idea: Maybe the question is actually asking: “What percent is [result] of [original number]?” No — that would always be the same percentage you started with. For example, 25% of 100 is 25 — and 25 is 25% of 100 — so that would just give back the original percent. That can’t be.
Alternatively — maybe the answers are mislabeled? Or perhaps we’re supposed to compute the value and then see which percentage matches when compared to something? This is confusing.
Wait — let’s try calculating the actual values first, ignoring the % sign on the answers for now, and see if any match numerically.
Let’s go step by step:
---
1. 25% of 100
= 0.25 × 100 = 25
Look at options:
a. 11.5% → 11.5
b. 105.6% → 105.6
c. 24.6% → 24.6
d. 77% → 77
e. 0.4% → 0.4
f. 25% → 25 ← this matches!
g. 150.35% → 150.35
h. 1.6% → 1.6
i. 26.25% → 26.25
j. 5.58% → 5.58
So 25 matches f. 25% — even though it says “25%”, the numerical value is 25. So maybe the % sign on the answers is misleading — or perhaps it’s just labeling the choice, not meaning the answer is a percentage. In other words, “f. 25%” might mean “choice f is 25” — and the % is part of the label, not the unit. That makes sense because otherwise none of the answers would make sense dimensionally.
Let’s assume that: the letters a-j are labels, and the numbers next to them are the actual numeric answers (the % sign is probably a formatting error or just part of the label). So we treat “f. 25%” as meaning the answer is 25.
That fits!
So let’s proceed under that assumption: ignore the % sign on the answer choices — they are just labels. The number is the value.
---
Now recalculate each:
1. 25% of 100 = 0.25 × 100 = 25 → matches f. 25%
2. 41% of 60 = 0.41 × 60 = 24.6 → matches c. 24.6%
3. 23% of 50 = 0.23 × 50 = 11.5 → matches a. 11.5%
4. 35% of 75 = 0.35 × 75 = let's calculate: 0.35 × 75 = (0.3×75) + (0.05×75) = 22.5 + 3.75 = 26.25 → matches i. 26.25%
5. 97% of 155 = 0.97 × 155
Calculate: 1 × 155 = 155, minus 3% of 155 = 0.03 × 155 = 4.65 → so 155 - 4.65 = 150.35 → matches g. 150.35%
6. 120% of 88 = 1.2 × 88 = 105.6 → matches b. 105.6%
7. 10% of 4 = 0.1 × 4 = 0.4 → matches e. 0.4%
8. 18% of 31 = 0.18 × 31 = let's compute: 0.1×31=3.1, 0.08×31=2.48 → total 3.1+2.48=5.58 → matches j. 5.58%
9. 55% of 140 = 0.55 × 140 = (0.5×140)=70, (0.05×140)=7 → total 77 → matches d. 77%
10. 8% of 20 = 0.08 × 20 = 1.6 → matches h. 1.6%
Perfect! All match.
So the matching is:
1 → f
2 → c
3 → a
4 → i
5 → g
6 → b
7 → e
8 → j
9 → d
10 → h
Final Answer:
1-f, 2-c, 3-a, 4-i, 5-g, 6-b, 7-e, 8-j, 9-d, 10-h
Parent Tip: Review the logic above to help your child master the concept of finding percent of a number worksheet.