New Zealand · Year 6 · Practice Sheet 36

1. 1.

   Find the area of a square with side length 17 cm.

   Formula:Area of a Square

   $A = s^2$

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2. 2.

   An item costs $27.62 and you pay with $30. How much change do you get?

   Formula:Change Due

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

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3. 3.

   $1,100 is invested at 4% simple interest per year for 6 years. Find the interest earned.

   Formula:Simple Interest

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

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4. 4.

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

   Formula:Area of a Square

   $A = s^2$

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5. 5.

   Calculate 130 ÷ 5.

   Formula:Division

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

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6. 6.

   An item costs $6.3 and you pay with $20. How much change do you get?

   Formula:Change Due

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

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7. 7.

   $3,800 is invested at 10% simple interest per year for 6 years. Find the interest earned.

   Formula:Simple Interest

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

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8. 8.

   One item costs $21.32. Find the total cost of 9 items.

   Formula:Total Cost

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

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9. 9.

   $81 is shared in the ratio 5 : 4. Find each share.

   Formula:Dividing in a Ratio

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

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10. 10.

    Find 2/4 of 48.

    Formula:Fraction of a Quantity

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

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11. 11.

    What is 75% of 70?

    Formula:Percentage of a Quantity

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

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12. 12.

    Find 3/5 of 50.

    Formula:Fraction of a Quantity

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

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13. 13.

    One item costs $6.4. Find the total cost of 20 items.

    Formula:Total Cost

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

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14. 14.

    A rectangle is 31 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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15. 15.

    A triangle has a base of 28 cm and a height of 18 cm. Find its area.

    Formula:Area of a Triangle

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

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16. 16.

    Find the perimeter of a rectangle measuring 29 m by 6 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    Find the mean (average) of these numbers: 29, 24, 81, 32, 86.

    Formula:Arithmetic Mean

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

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18. 18.

    A rectangle is 25 cm long and 26 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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19. 19.

    Find the mean (average) of these numbers: 42, 15, 28, 17, 64, 60.

    Formula:Arithmetic Mean

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

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20. 20.

    A car travels 370 km in 5 hours. Find its average speed.

    Formula:Speed

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

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