Russia · Grade 7 · Practice Sheet 39

1. 1.

   A rectangle is 23 cm long and 4 cm wide. Find its area.

   Formula:Area of a Rectangle

   $A = l \times w$

   View formula →
2. 2.

   A car travels 665 km in 7 hours. Find its average speed.

   Formula:Speed

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

   View formula →
3. 3.

   Solve for x: 7x + 12 = 75.

   Formula:Solving a Linear Equation

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

   View formula →
4. 4.

   Find the circumference of a circle whose radius is 24 m. (Use π ≈ 3.14159)

   Formula:Circumference of a Circle

   $C = 2\pi r$

   View formula →
5. 5.

   Find the perimeter of a rectangle measuring 29 m by 24 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

   View formula →
6. 6.

   One item costs ₽11.5. Find the total cost of 4 items.

   Formula:Total Cost

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

   View formula →
7. 7.

   Solve for x: 9x + 6 = 42.

   Formula:Solving a Linear Equation

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

   View formula →
8. 8.

   A train moves at 78 km/h for 3.2 hours. How far does it travel?

   Formula:Distance from Speed & Time

   $d = v \times t$

   View formula →
9. 9.

   Find the perimeter of a rectangle measuring 17 m by 23 m.

   Formula:Perimeter of a Rectangle

   $P = 2(l + w)$

   View formula →
10. 10.

    Find the mean (average) of these numbers: 12, 87, 88, 42.

    Formula:Arithmetic Mean

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

    View formula →
11. 11.

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

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →
12. 12.

    Convert 7.51 kilometres into metres.

    Formula:Metric Length Conversion

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

    View formula →
13. 13.

    What is 40% of 350?

    Formula:Percentage of a Quantity

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

    View formula →
14. 14.

    One item costs ₽15.06. Find the total cost of 7 items.

    Formula:Total Cost

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

    View formula →
15. 15.

    Find the mean (average) of these numbers: 81, 84, 72, 81, 30, 33.

    Formula:Arithmetic Mean

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

    View formula →
16. 16.

    A right-angled triangle has legs of 10 cm and 18 cm. Find the length of the hypotenuse.

    Formula:Pythagorean Theorem

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

    View formula →
17. 17.

    Find the area of a square with side length 10 cm.

    Formula:Area of a Square

    $A = s^2$

    View formula →
18. 18.

    Find the perimeter of a rectangle measuring 40 m by 16 m.

    Formula:Perimeter of a Rectangle

    $P = 2(l + w)$

    View formula →
19. 19.

    A triangle has a base of 21 cm and a height of 29 cm. Find its area.

    Formula:Area of a Triangle

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

    View formula →
20. 20.

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

    Formula:Area of a Circle

    $A = \pi r^2$

    View formula →

© FormulaWon — formulawon.app · Answers & step-by-step working available on the solutions sheet.