New Zealand · Year 6 · Practice Sheet 29

1. 1.

   $2,200 is invested at 8% simple interest per year for 3 years. Find the interest earned.

   Formula:Simple Interest

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

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2. 2.

   Calculate 88 × 9.

   Formula:Multiplication

   $p = a \times b$

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3. 3.

   A car travels 380 km in 4 hours. Find its average speed.

   Formula:Speed

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

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4. 4.

   What is 75% of 350?

   Formula:Percentage of a Quantity

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

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5. 5.

   Find the mean (average) of these numbers: 62, 92, 44, 81, 64, 98.

   Formula:Arithmetic Mean

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

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6. 6.

   An item costs $28.05 and you pay with $40. How much change do you get?

   Formula:Change Due

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

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7. 7.

   Find 1/2 of 22.

   Formula:Fraction of a Quantity

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

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8. 8.

   Find the perimeter of a rectangle measuring 44 m by 30 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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9. 9.

   A triangle has a base of 39 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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10. 10.

    Find the mean (average) of these numbers: 75, 11, 70, 95, 89.

    Formula:Arithmetic Mean

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

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11. 11.

    One item costs $11.3. Find the total cost of 13 items.

    Formula:Total Cost

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

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12. 12.

    Find the perimeter of a rectangle measuring 16 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    Find the area of a square with side length 14 cm.

    Formula:Area of a Square

    $A = s^2$

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14. 14.

    $4,100 is invested at 3% simple interest per year for 5 years. Find the interest earned.

    Formula:Simple Interest

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

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15. 15.

    A circle has a radius of 3 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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16. 16.

    Calculate 21 × 11.

    Formula:Multiplication

    $p = a \times b$

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17. 17.

    A circle has a radius of 14 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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18. 18.

    A car travels 392 km in 8 hours. Find its average speed.

    Formula:Speed

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

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19. 19.

    A train moves at 71 km/h for 2.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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20. 20.

    Convert 5.19 kilometres into metres.

    Formula:Metric Length Conversion

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

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