Japan · Grade 6 · Practice Sheet 5

1. 1.

   Calculate 56 × 12.

   Formula:Multiplication

   $p = a \times b$

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2. 2.

   Calculate 60 ÷ 12.

   Formula:Division

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

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3. 3.

   Find the perimeter of a rectangle measuring 8 m by 13 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   ¥156 is shared in the ratio 1 : 3. Find each share.

   Formula:Dividing in a Ratio

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

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5. 5.

   Convert 5.95 kilometres into metres.

   Formula:Metric Length Conversion

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

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6. 6.

   A triangle has a base of 17 cm and a height of 17 cm. Find its area.

   Formula:Area of a Triangle

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

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7. 7.

   ¥120 is shared in the ratio 3 : 2. Find each share.

   Formula:Dividing in a Ratio

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

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8. 8.

   One item costs ¥19.46. Find the total cost of 15 items.

   Formula:Total Cost

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

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9. 9.

   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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10. 10.

    Calculate 87 × 10.

    Formula:Multiplication

    $p = a \times b$

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11. 11.

    Calculate 76 ÷ 4.

    Formula:Division

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

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12. 12.

    ¥115 is shared in the ratio 2 : 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 triangle has a base of 34 cm and a height of 4 cm. Find its area.

    Formula:Area of a Triangle

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

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14. 14.

    A circle has a radius of 10 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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15. 15.

    Convert 2.5 kilometres into metres.

    Formula:Metric Length Conversion

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

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16. 16.

    Calculate 187 ÷ 11.

    Formula:Division

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

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17. 17.

    Find the circumference of a circle whose radius is 22 m. (Use π ≈ 3.14159)

    Formula:Circumference of a Circle

    $C = 2\pi r$

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18. 18.

    ¥240 is shared in the ratio 5 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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19. 19.

    A circle has a radius of 4 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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20. 20.

    Find the perimeter of a rectangle measuring 8 m by 12 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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