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1 (a) Write down the percentage of this circle that is shaded - OCR - GCSE Maths - Question 1 - 2023 - Paper 2

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Question 1

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1 (a) Write down the percentage of this circle that is shaded. (b) Shade $\frac{2}{3}$ of this rectangle.

Worked Solution & Example Answer:1 (a) Write down the percentage of this circle that is shaded - OCR - GCSE Maths - Question 1 - 2023 - Paper 2

Step 1

(a) Write down the percentage of this circle that is shaded.

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Answer

To determine the percentage of the circle that is shaded, we first note that the circle is divided into four equal parts by the two lines, and one of these parts is shaded. Therefore, the fraction of the circle that is shaded is:

14\frac{1}{4}

To convert this fraction to a percentage, we multiply by 100:

14×100=25%\frac{1}{4} \times 100 = 25\%

Thus, the percentage of the circle that is shaded is 25%.

Step 2

(b) Shade $\frac{2}{3}$ of this rectangle.

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Answer

To shade 23\frac{2}{3} of the rectangle, we need to divide the rectangle into three equal parts. Since the rectangle is not defined by specific dimensions, we can visualize it as having three equal sections.
We will then shade the first two sections to represent 23\frac{2}{3} of the rectangle, leaving one section unshaded.

In practice, this can be done by marking two out of the three sections with shading.

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