Ukraine · Grade 6 · Practice Sheet 8

1. 1.

   One item costs ₴2.76. Find the total cost of 12 items.

   Formula:Total Cost

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

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2. 2.

   A triangle has a base of 10 cm and a height of 28 cm. Find its area.

   Formula:Area of a Triangle

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

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3. 3.

   Find the perimeter of a rectangle measuring 9 m by 24 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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4. 4.

   A train moves at 25 km/h for 4.1 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

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5. 5.

   Find the circumference of a circle whose radius is 30 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

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6. 6.

   Calculate 61 × 4.

   Formula:Multiplication

   $p = a \times b$

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7. 7.

   Calculate 182 ÷ 7.

   Formula:Division

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

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8. 8.

   An item costs ₴4.38 and you pay with ₴10. How much change do you get?

   Formula:Change Due

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

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9. 9.

   Find the mean (average) of these numbers: 41, 53, 12, 42.

   Formula:Arithmetic Mean

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

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10. 10.

    A rectangle is 7 cm long and 17 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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11. 11.

    What is 10% of 450?

    Formula:Percentage of a Quantity

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

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12. 12.

    A circle has a radius of 22 cm. Find its area. (Use π ≈ 3.14159)

    Formula:Area of a Circle

    $A = \pi r^2$

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13. 13.

    What is 75% of 60?

    Formula:Percentage of a Quantity

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

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14. 14.

    A train moves at 69 km/h for 5.1 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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15. 15.

    Find the mean (average) of these numbers: 32, 35, 19, 82.

    Formula:Arithmetic Mean

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

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16. 16.

    ₴150 is shared in the ratio 1 : 5. Find each share.

    Formula:Dividing in a Ratio

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

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17. 17.

    Find 2/3 of 33.

    Formula:Fraction of a Quantity

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

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18. 18.

    Calculate 13 × 12.

    Formula:Multiplication

    $p = a \times b$

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19. 19.

    Find the mean (average) of these numbers: 78, 33, 58, 85, 54.

    Formula:Arithmetic Mean

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

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20. 20.

    Find the area of a square with side length 12 cm.

    Formula:Area of a Square

    $A = s^2$

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