China · Grade 6 · Practice Sheet 23

1. 1.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   Find the circumference of a circle whose radius is 12 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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3. 3.

   Find the perimeter of a rectangle measuring 32 m by 17 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   Find the area of a square with side length 27 cm.

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   A train moves at 53 km/h for 3.2 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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6. 6.

   Find the perimeter of a rectangle measuring 39 m by 29 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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7. 7.

   Calculate 204 ÷ 12.

   Formula:Division

   $q = \dfrac{a}{b}$

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8. 8.

   Find the area of a square with side length 23 cm.

   Formula:Area of a Square

   $A = s^2$

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9. 9.

   Find the mean (average) of these numbers: 33, 47, 73, 89, 22, 49.

   Formula:Arithmetic Mean

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

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10. 10.

    Find the circumference of a circle whose radius is 25 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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11. 11.

    What is 75% of 510?

    Formula:Percentage of a Quantity

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

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12. 12.

    ¥108 is shared in the ratio 3 : 3. Find each share.

    Formula:Dividing in a Ratio

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

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13. 13.

    A train moves at 68 km/h for 3.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    Find 3/5 of 35.

    Formula:Fraction of a Quantity

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

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15. 15.

    ¥1,100 is invested at 8% simple interest per year for 4 years. Find the interest earned.

    Formula:Simple Interest

    $I = \dfrac{P \times r \times t}{100}$

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16. 16.

    A triangle has a base of 11 cm and a height of 22 cm. Find its area.

    Formula:Area of a Triangle

    $A = \tfrac{1}{2} b h$

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17. 17.

    A car travels 264 km in 4 hours. Find its average speed.

    Formula:Speed

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

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18. 18.

    ¥54 is shared in the ratio 5 : 1. Find each share.

    Formula:Dividing in a Ratio

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

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19. 19.

    An item costs ¥5.69 and you pay with ¥10. How much change do you get?

    Formula:Change Due

    $\text{change} = \text{paid} - \text{cost}$

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20. 20.

    Calculate 96 × 6.

    Formula:Multiplication

    $p = a \times b$

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