Germany · Klasse 6 · Practice Sheet 26

1. 1.

   Find the perimeter of a rectangle measuring 12 m by 24 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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2. 2.

   Find 2/4 of 64.

   Formula:Fraction of a Quantity

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

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3. 3.

   One item costs €24.83. Find the total cost of 9 items.

   Formula:Total Cost

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

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4. 4.

   Calculate 41 × 6.

   Formula:Multiplication

   $p = a \times b$

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5. 5.

   Find the area of a square with side length 24 cm.

   Formula:Area of a Square

   $A = s^2$

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6. 6.

   Calculate 110 ÷ 5.

   Formula:Division

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

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7. 7.

   A rectangle is 28 cm long and 4 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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8. 8.

   One item costs €4.13. Find the total cost of 15 items.

   Formula:Total Cost

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

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9. 9.

   Calculate 25 × 4.

   Formula:Multiplication

   $p = a \times b$

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10. 10.

    What is 25% of 190?

    Formula:Percentage of a Quantity

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

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11. 11.

    Convert 8.18 kilometres into metres.

    Formula:Metric Length Conversion

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

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12. 12.

    A triangle has a base of 8 cm and a height of 21 cm. Find its area.

    Formula:Area of a Triangle

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

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13. 13.

    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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14. 14.

    Convert 9.47 kilometres into metres.

    Formula:Metric Length Conversion

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

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15. 15.

    Calculate 374 ÷ 11.

    Formula:Division

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

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16. 16.

    Find the perimeter of a rectangle measuring 11 m by 17 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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17. 17.

    €4,600 is invested at 7.5% 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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18. 18.

    Find 2/5 of 35.

    Formula:Fraction of a Quantity

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

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19. 19.

    €280 is shared in the ratio 4 : 4. Find each share.

    Formula:Dividing in a Ratio

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

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20. 20.

    A triangle has a base of 37 cm and a height of 12 cm. Find its area.

    Formula:Area of a Triangle

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

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