Percent from a Graph (Visual) 1
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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:)` (¾, 75/100, 3/4)`(ii) \text(Percentage of purple-shaded area:)` (75)`%``(iii) \text(Percentage of yellow-shaded area:)` (25)`%`
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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`=75`total no. of equal parts`=100`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{75}{100}$$ 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)` `=` $$\frac{75}{100}$$ `=` `75%` 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)` `=` `100-75` `=` `25%` `(i) 75/100``(ii) 75%``(iii) 25%` -
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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 green-shaded area:)` (82/100, 41/50)`(ii) \text(Percentage of green-shaded area:)` (82)`%``(iii) \text(Percentage of pink-shaded area:)` (18)`%`
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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 green-shaded region.no. of green-shaded parts`=82`total no. of equal parts`=100`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{82}{100}$$ Substitute values `(ii)` Find the percentage of the green-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)` `=` $$\frac{82}{100}$$ `=` `82%` Convert the denominator into a percentage symbol `(iii)` Find the percentage of the pink-shaded region.Since percentages amount to a hundred of a value, simply subtract the the percentage of the green-shaded region from `100%` to get the percentage of the pink-shaded region.`\text(Percentage)` `=` `100-82` `=` `18%` `(i) 82/100``(ii) 82%``(iii) 18%` -
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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 purple-shaded area:)` (2/5, 10/25)`(ii) \text(Percentage of purple-shaded area:)` (40)`%``(iii) \text(Percentage of yellow-shaded area:)` (60)`%`
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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`=10`total no. of equal parts`=25`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{10}{25}$$ Substitute values `=` $$\frac{2}{5}$$ 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)` `=` $$\frac{2}{5}\times100$$ `=` $$\frac{2}{5}\times\frac{100%}{1}$$ `=` $$\frac{200%}{5}$$ `=` `40%` `(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)` `=` `100-40` `=` `60%` `(i) 2/5``(ii) 40%``(iii) 60%` -
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Question 4 of 5
4. 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:)` (13/100)`(ii) \text(Percentage of purple-shaded area:)` (13)`%``(iii) \text(Percentage of beige-shaded area:)` (87)`%`
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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`=13`total no. of equal parts`=100`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{13}{100}$$ 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)` `=` $$\frac{13}{100}$$ `=` `13%` Convert the denominator into a percentage symbol `(iii)` Find the percentage of the beige-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 beige-shaded region.`\text(Percentage)` `=` `100-13` `=` `87%` `(i) 13/100``(ii) 13%``(iii) 87%` -
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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:)` (3/5)`(ii) \text(Percentage of purple-shaded area:)` (60)`%``(iii) \text(Percentage of pink-shaded area:)` (40)`%`
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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`=3`total no. of equal parts`=5`$$\frac{\mathsf{numerator}}{\mathsf{denominator}}$$ `=` $$\frac{\mathsf{no.\;of\;shaded\;parts}}{\mathsf{total\;no.\;of\;equal\;parts}}$$ `=` $$\frac{3}{5}$$ 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 `%`.To get the percentage, multiply the fraction value by `100%`.`\text(Percentage)` `=` $$\frac{3}{5}\times100$$ `=` $$\frac{3}{5}\times\frac{100%}{1}$$ `=` $$\frac{300%}{5}$$ `=` `60%` `(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)` `=` `100-60` `=` `40%` `(i) 3/5``(ii) 60%``(iii) 40%` -
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 1
- 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
- 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 1
- 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