Taiwan · Grade 6 · Practice Sheet 35

1. 1.

   Calculate 152 ÷ 8.

   Formula:Division

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

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2. 2.

   Find the area of a square with side length 8 cm.

   Formula:Area of a Square

   $A = s^2$

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3. 3.

   Find the perimeter of a rectangle measuring 13 m by 18 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   A triangle has a base of 21 cm and a height of 15 cm. Find its area.

   Formula:Area of a Triangle

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

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5. 5.

   Find the mean (average) of these numbers: 96, 84, 40, 82, 31.

   Formula:Arithmetic Mean

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

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6. 6.

   NT$ 2,100 is invested at 4% simple interest per year for 2 years. Find the interest earned.

   Formula:Simple Interest

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

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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.

   A circle has a radius of 24 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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9. 9.

   Find the circumference of a circle whose radius is 29 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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10. 10.

    A car travels 78 km in 2 hours. Find its average speed.

    Formula:Speed

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

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11. 11.

    Find the mean (average) of these numbers: 46, 42, 83, 61.

    Formula:Arithmetic Mean

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

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12. 12.

    Calculate 80 × 11.

    Formula:Multiplication

    $p = a \times b$

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13. 13.

    What is 10% of 530?

    Formula:Percentage of a Quantity

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

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14. 14.

    An item costs NT$ 13.51 and you pay with NT$ 30. How much change do you get?

    Formula:Change Due

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

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15. 15.

    NT$ 96 is shared in the ratio 2 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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16. 16.

    Convert 11.34 kilometres into metres.

    Formula:Metric Length Conversion

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

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17. 17.

    Find 3/4 of 52.

    Formula:Fraction of a Quantity

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

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18. 18.

    A car travels 170 km in 2 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    NT$ 152 is shared in the ratio 3 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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20. 20.

    Convert 9.48 kilometres into metres.

    Formula:Metric Length Conversion

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

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