Percent from a Graph (Visual) 2
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Question 1 of 5
1. Question
Using the image below, find the following values:
Note: There are a total of `100` squaresWrite fractions in the format “a/b”-
`(i) \text(Fraction of purple-shaded area:)` (40/100, 4/10, 2/5)`(ii) \text(Percentage of purple-shaded area:)` (40)`%``(iii) \text(Percentage of yellow-shaded area:)` (60)`%`
Hint
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Correct!
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$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the purple-shaded region.
no. of purple-shaded parts`=40`total no. of equal parts`=100`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{40}{100}$$ Substitute values `(ii)` Find the percentage of the purple-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.Since the fraction has a denominator of `100`, get the numerator and add a percentage symbol `(%)`.`\text(Percentage)` `=` $$\frac{40}{100}$$ `=` `40%` Convert the denominator into a percentage symbol `(iii)` Find the percentage of the yellow-shaded region.Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from `100%` to get the percentage of the yellow-shaded region.`\text(Percentage)` `=` `100-40` `=` `60%` `(i) 40/100``(ii) 40%``(iii) 60%` -
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Question 2 of 5
2. Question
Using the image below, find the following values:
Note: There are a total of `100` squaresWrite fractions in the format “a/b”-
`(i) \text(Fraction of purple-shaded area:)` (100/100, 1/1, 1)`(ii) \text(Percentage of purple-shaded area:)` (100)`%``(iii) \text(Percentage of yellow-shaded area:)` (0)`%`
Hint
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Fantastic!
Incorrect
$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the purple-shaded region.no. of purple-shaded parts`=100`total no. of equal parts`=100`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{100}{100}$$ Substitute values `(ii)` Find the percentage of the purple-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.Since the fraction has a denominator of `100`, get the numerator and add a percentage symbol `(%)`.`\text(Percentage)` `=` $$\frac{100}{100}$$ `=` `100%` Convert the denominator into a percentage symbol `(iii)` Find the percentage of the yellow-shaded region.Since percentages amount to a hundred of a value, simply subtract the the percentage of the purple-shaded region from `100%` to get the percentage of the yellow-shaded region.`\text(Percentage)` `=` `100-100` `=` `0%` `(i) 100/100``(ii) 100%``(iii) 0%` -
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Question 3 of 5
3. Question
Using the image below, find the following values:
Write fractions in the format “a/b”-
`(i) \text(Fraction of orange-shaded area:)` (1/5, 3/15)`(ii) \text(Percentage of orange-shaded area:)` (20)`%``(iii) \text(Percentage of yellow-shaded area:)` (80)`%`
Hint
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Nice Job!
Incorrect
$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the orange-shaded region.
no. of orange-shaded parts`=3`total no. of equal parts`=15`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{15}$$ Substitute values `=` $$\frac{1}{5}$$ Simplify `(ii)` Find the percentage of the orange-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{1}{5}\times100$$ `=` $$\frac{1}{5}\times\frac{100%}{1}$$ `=` $$\frac{100%}{5}$$ `=` `20%` `(iii)` Find the percentage of the yellow-shaded region.Since percentages amount to a hundred of a value, simply subtract the percentage of the orange-shaded region from `100%` to get the percentage of the yellow-shaded region.`\text(Percentage)` `=` `100-20` `=` `80%` `(i) 1/5``(ii) 20%``(iii) 80%` -
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Question 4 of 5
4. Question
Using the image below, find the following values:
Write fractions in the format “a/b”-
`(i) \text(Fraction of purple-shaded area:)` (4/5, 20/25)`(ii) \text(Percentage of purple-shaded area:)` (80)`%``(iii) \text(Percentage of pink-shaded area:)` (20)`%`
Hint
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Fantastic!
Incorrect
$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the purple-shaded region.no. of purple-shaded parts`=20`total no. of equal parts`=25`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{20}{25}$$ Substitute values `=` $$\frac{4}{5}$$ Simplify `(ii)` Find the percentage of the purple-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{4}{5}\times100$$ `=` $$\frac{4}{5}\times\frac{100%}{1}$$ `=` $$\frac{400%}{5}$$ `=` `80%` `(iii)` Find the percentage of the pink-shaded region.Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from `100%` to get the percentage of the pink-shaded region.`\text(Percentage)` `=` `100-80` `=` `20%` `(i) 4/5``(ii) 80%``(iii) 20%` -
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Question 5 of 5
5. Question
Using the image below, find the following values:
Write fractions in the format “a/b”-
`(i) \text(Fraction of purple-shaded area:)` (½, 1/2, 3/6)`(ii) \text(Percentage of purple-shaded area:)` (50)`%``(iii) \text(Percentage of yellow-shaded area:)` (50)`%`
Hint
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Excellent!
Incorrect
$$\frac{\mathsf{numerator}}{\mathsf{denominator}}=\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$`(i)` Find the fraction of the purple-shaded region.no. of purple-shaded parts`=3`total no. of equal parts`=6`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{6}$$ Substitute values `=` $$\frac{1}{2}$$ Simplify `(ii)` Find the percentage of the purple-shaded region.Percentages are values per a hundred, or `x/(100)`. The per a hundred is represented by the symbol `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{1}{2}\times100$$ `=` $$\frac{1}{2}\times\frac{100%}{1}$$ `=` $$\frac{100%}{2}$$ `=` `50%` `(iii)` Find the percentage of the yellow-shaded region.Since percentages amount to a hundred of a value, simply subtract the percentage of the purple-shaded region from `100%` to get the percentage of the yellow-shaded region.`\text(Percentage)` `=` `100-50` `=` `50%` `(i) 1/2``(ii) 50%``(iii) 50%` -
Quizzes
- Percent from a Graph (Visual) 1
- Percent from a Graph (Visual) 2
- Percent from a Graph (Visual) 3
- Convert Between Percentages, Fractions and Decimals 1
- Convert Between Percentages, Fractions and Decimals 2
- Convert Between Percentages, Fractions and Decimals 3
- Convert Between Percentages, Fractions and Decimals 4
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 1
- Convert Mixed Numbers, Mixed Fractions and Fraction Percentages 2
- Percent of an Amount 1
- Percent of an Amount 2
- Increase and Decrease an Amount by a Percent
- Increase and Decrease an Amount by a Percent – Word Problems 1
- Increase and Decrease an Amount by a Percent – Word Problems 2
- Increase and Decrease an Amount by a Percent – Word Problems 3
- Percent of Change
- Percent of Change – Word Problems
- Percent of an Amount – Word Problems 1
- Percent of an Amount – Word Problems 2
- Percent of an Amount – Word Problems 3
- Find Base from Percent of an Amount (Unitary Method) 1
- Find Base from Percent of an Amount (Unitary Method) 2
- One Amount as a Percentage of Another Amount
- Find Original Amount Before Percent Change (Unitary Method)
- Depreciation