Poland · Klasa 7 · Practice Sheet 21

1. 1.

   A circle has a radius of 16 cm. Find its area. (Use π ≈ 3.14159)

   Formula:Area of a Circle

   $A = \pi r^2$

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2. 2.

   zł 72 is shared in the ratio 3 : 5. Find each share.

   Formula:Dividing in a Ratio

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

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3. 3.

   One item costs zł 13.8. Find the total cost of 15 items.

   Formula:Total Cost

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

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4. 4.

   Find the perimeter of a rectangle measuring 9 m by 26 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

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5. 5.

   A rectangle is 20 cm long and 16 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

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6. 6.

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

   Formula:Area of a Square

   $A = s^2$

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7. 7.

   A right-angled triangle has legs of 12 cm and 19 cm. Find the length of the hypotenuse.

   Formula:Pythagorean Theorem

   $c = \sqrt{a^2 + b^2}$

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8. 8.

   Solve for x: 7x + 2 = 51.

   Formula:Solving a Linear Equation

   $x = \dfrac{c - b}{a}$

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9. 9.

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

   Formula:Area of a Square

   $A = s^2$

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10. 10.

    zł 3,600 is invested at 8% 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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11. 11.

    Find 1/4 of 76.

    Formula:Fraction of a Quantity

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

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12. 12.

    Find the perimeter of a rectangle measuring 26 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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13. 13.

    A train moves at 48 km/h for 2.4 hours. How far does it travel?

    Formula:Distance from Speed & Time

    $d = v \times t$

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14. 14.

    A rectangle is 18 cm long and 29 cm wide. Find its area.

    Formula:Area of a Rectangle

    $A = l \times w$

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15. 15.

    Find the perimeter of a rectangle measuring 20 m by 10 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

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16. 16.

    Solve for x: 3x + 5 = 38.

    Formula:Solving a Linear Equation

    $x = \dfrac{c - b}{a}$

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17. 17.

    A right-angled triangle has legs of 18 cm and 12 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

    $c = \sqrt{a^2 + b^2}$

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18. 18.

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

    Formula:Area of a Square

    $A = s^2$

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19. 19.

    Find the mean (average) of these numbers: 71, 63, 54, 30, 28.

    Formula:Arithmetic Mean

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

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20. 20.

    A value changes from 122 to 141. Find the percentage change (to 2 d.p.).

    Formula:Percentage Change

    $\%\,\text{change} = \dfrac{\text{new} - \text{old}}{\text{old}} \times 100$

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