China · Grade 7 · Practice Sheet 10

1. 1.

   Find the area of a square with side length 5 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   A car travels 134 km in 2 hours. Find its average speed.

   Formula:Speed

   $v = \dfrac{d}{t}$

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3. 3.

   ¥115 is shared in the ratio 4 : 1. Find each share.

   Formula:Dividing in a Ratio

   $\text{share} = \dfrac{\text{part}}{\text{total parts}} \times T$

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4. 4.

   Find the area of a square with side length 24 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Find 1/2 of 32.

   Formula:Fraction of a Quantity

   $\text{result} = \dfrac{a}{b} \times N$

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6. 6.

   What is 20% of 40?

   Formula:Percentage of a Quantity

   $\text{result} = \dfrac{p}{100} \times N$

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7. 7.

   Find the circumference of a circle whose radius is 15 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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8. 8.

   One item costs ¥18.03. Find the total cost of 12 items.

   Formula:Total Cost

   $\text{total} = \text{price} \times \text{quantity}$

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9. 9.

   Find the area of a square with side length 14 cm.

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    Solve for x: 5x + 14 = 69.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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11. 11.

    Find the mean (average) of these numbers: 26, 30, 73, 65, 54.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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12. 12.

    Solve for x: 9x + 18 = 45.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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13. 13.

    Find the mean (average) of these numbers: 48, 76, 59, 76.

    Formula:Arithmetic Mean

    $\bar{x} = \dfrac{\sum x}{n}$

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14. 14.

    Find the perimeter of a rectangle measuring 35 m by 25 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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15. 15.

    Find the circumference of a circle whose radius is 21 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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16. 16.

    A car travels 66 km in 2 hours. Find its average speed.

    Formula:Speed

    $v = \dfrac{d}{t}$

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17. 17.

    One item costs ¥19.87. Find the total cost of 7 items.

    Formula:Total Cost

    $\text{total} = \text{price} \times \text{quantity}$

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18. 18.

    Convert 7.19 kilometres into metres.

    Formula:Metric Length Conversion

    $1\,\text{km} = 1000\,\text{m}$

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19. 19.

    A rectangle is 24 cm long and 22 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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20. 20.

    A circle has a radius of 5 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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