New Zealand · Year 6 · Practice Sheet 34

1. 1.

   Find the perimeter of a rectangle measuring 33 m by 21 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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2. 2.

   Calculate 228 ÷ 6.

   Formula:Division

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

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3. 3.

   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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4. 4.

   Find the mean (average) of these numbers: 99, 94, 30, 37, 71, 59.

   Formula:Arithmetic Mean

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

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5. 5.

   Calculate 68 × 8.

   Formula:Multiplication

   $p = a \times b$

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6. 6.

   A rectangle is 37 cm long and 21 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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7. 7.

   A circle has a radius of 23 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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8. 8.

   An item costs $43.97 and you pay with $60. How much change do you get?

   Formula:Change Due

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

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9. 9.

   A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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10. 10.

    Find the area of a square with side length 7 cm.

    Formula:Area of a Square

    $A = s^2$

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11. 11.

    A triangle has a base of 4 cm and a height of 14 cm. Find its area.

    Formula:Area of a Triangle

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

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12. 12.

    A circle has a radius of 11 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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13. 13.

    $3,700 is invested at 5% 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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14. 14.

    What is 50% of 40?

    Formula:Percentage of a Quantity

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

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15. 15.

    A circle has a radius of 18 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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16. 16.

    A triangle has a base of 5 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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17. 17.

    One item costs $4.55. Find the total cost of 18 items.

    Formula:Total Cost

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

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18. 18.

    Calculate 126 ÷ 9.

    Formula:Division

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

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19. 19.

    Find the perimeter of a rectangle measuring 40 m by 13 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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20. 20.

    What is 10% of 60?

    Formula:Percentage of a Quantity

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

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