GRADE 8 Mathematics – Area Quiz

1. What is the formula for finding the area of a rectangle?

Length - Width
Length + Width
Length x Width
Length / Width
Explanation:

To find the area of a rectangle, you multiply the length by the width.

2. How do you calculate the area of a square?

Side / 2
Side x 2
Side x Side
Side + Side
Explanation:

The area of a square is obtained by multiplying the length of one side by itself.

3. What is the formula for finding the area of a triangle?

Base - Height
Base x Height
Base + Height
Base / Height
Explanation:

The formula for the area of a triangle is 0.5 times the base multiplied by the height.

4. How do you find the area of a circle?

π x Radius x Radius
π x Diameter
2 x π x Radius
π x Radius
Explanation:

To calculate the area of a circle, you multiply π by the square of the radius.

5. What is the formula for the area of a parallelogram?

Base - Height
Base x Height
Base / Height
Base + Height
Explanation:

The area of a parallelogram is derived by multiplying the base by the height.

6. How do you find the area of a trapezium?

Height x Height
Difference of parallel sides x Height
Sum of parallel sides x Height
Average of bases x Height
Explanation:

The formula for the area of a trapezium is found by multiplying the average of the two parallel sides by the height.

7. What is the formula for the area of a rhombus?

Diagonal 1 + Diagonal 2
Diagonal 1 / Diagonal 2
Diagonal 1 x Diagonal 2
Diagonal 1 - Diagonal 2
Explanation:

The area of a rhombus can be calculated by multiplying the lengths of the two diagonals and dividing by 2.

8. How do you calculate the area of a regular polygon?

Apothem x Side Length
Side Length x Side Length
Perimeter x Apothem
Perimeter x Side Length
Explanation:

To find the area of a regular polygon, you multiply the perimeter by the apothem length and divide by 2.

9. What is the formula for finding the area of a sector of a circle?

θ x Radius
π x Radius x Radius
2 x θ x Radius
0.5 x θ x Radius
Explanation:

The area of a sector of a circle is obtained by multiplying half of the central angle (in radians) by the square of the radius.

10. How do you calculate the area of a kite?

Difference of diagonals
Product of diagonals
Sum of diagonals
Product of diagonals / 2
Explanation:

To find the area of a kite, you multiply the lengths of the two diagonals and divide by 2.

11. What is the formula to find the area of a rectangle?

Length + Width
Length - Width
Length x Width
Length / Width
Explanation:

The correct formula to find the area of a rectangle is multiplying the length by the width.

12. How do you find the area of a square?

Side / Side
Side x Side
Side + Side
Side - Side
Explanation:

To find the area of a square, multiply the length of one side by itself (squared).

13. How do you calculate the area of a circle?

πr^2
2πr
r^2
2r
Explanation:

The formula for finding the area of a circle is π times the radius squared.

14. What is the correct formula for finding the area of a parallelogram?

Base - Height
Base + Height
Base / Height
Base x Height
Explanation:

The correct formula to find the area of a parallelogram is multiplying the base by the height.

15. How do you find the area of a trapezium?

(a + b) x h / 2
a x b
(a - b) x h
(a x b) / 2
Explanation:

To find the area of a trapezium, add the parallel sides and multiply by the height, then divide by 2.

16. How do you calculate the area of a sector?

(θ/360) x πr^2
2r
θ x r
r^2
Explanation:

To find the area of a sector, multiply the fraction of the circle's circumference by the area of the whole circle.

17. What is the formula to find the area of a regular hexagon?

base x height
2 x base x height
(1/2) x (a + b)
(3/2) x (root 3) x a^2
Explanation:

To find the area of a regular hexagon, use the formula (3/2) x (root 3) x a^2 where 'a' is the length of a side.

18. How do you calculate the area of an isosceles triangle?

area x h
2 x base
(base x height) / 2
base x height
Explanation:

To find the area of an isosceles triangle, multiply the base by the height and divide by 2.

19. What is the formula for finding the area of a rectangle?

Height x Base
Diameter x Radius
Perimeter / Side
Length x Width
Explanation:

The formula for calculating the area of a rectangle is to multiply its length by its width. This gives the total space enclosed by the rectangle.

20. How do you find the area of a square?

Diameter x Radius
Side x Side
Width x Height
Perimeter x Side
Explanation:

To find the area of a square, you simply multiply the length of one of its sides by itself. This gives the total space covered by the square.

21. What is the unit of measurement for area?

Kilograms
Square meters
Meters
Litres
Explanation:

The unit of measurement for area is typically in square meters as it represents the amount of space enclosed within a two-dimensional shape.

22. How do you calculate the area of a triangle?

Length x Width
Radius x Diameter
Side x Side
Base x Height
Explanation:

To find the area of a triangle, you multiply the length of its base by its height and then divide the result by 2. This formula is applicable for all types of triangles.

23. What is the formula for finding the area of a circle?

Radius x Diameter
Pi x Diameter
2 x Pi x Radius
Pi x Radius^2
Explanation:

The formula for calculating the area of a circle is to multiply Pi by the square of its radius. This gives the total space enclosed by the circle.

24. How do you find the area of a parallelogram?

Base x Height
Perimeter x Side
Side x Side
Length x Width
Explanation:

To calculate the area of a parallelogram, you multiply the length of its base by its height. This formula works for all parallelograms.

25. What is the formula for finding the area of a trapezium?

Side x Side
Perimeter x Side
Height x (Base1 + Base2)/2
Length x Width
Explanation:

To find the area of a trapezium, multiply the height of the trapezium by the sum of its two bases and then divide the result by 2. This formula gives the total enclosed space.

26. How do you calculate the area of a rhombus?

Side x Side
Base x Height
Perimeter x Side
Diagonal1 x Diagonal2 / 2
Explanation:

To find the area of a rhombus, multiply its two diagonals and divide the product by 2. This formula gives the total space enclosed by the rhombus.

27. How do you find the area of a regular polygon?

Diameter x Radius
Side x Side
Height x Base
1/2 x Perimeter x Apothem
Explanation:

For a regular polygon, the area can be calculated by multiplying half of the perimeter by the apothem (the distance from the center to a side). This formula applies to all regular polygons.

28. What is the formula for finding the area of a sector in a circle?

Angle/360 x Pi x Radius^2
2 x Pi x Radius
Radius x Diameter
Pi x Radius^2
Explanation:

To find the area of a sector in a circle, multiply the fraction of the circle's circumference (determined by the angle) by Pi and the square of the radius. This gives the area of the sector.

29. How do you find the area of a kite?

Side x Side
Perimeter x Side
1/2 x Diagonal1 x Diagonal2
Base x Height
Explanation:

To calculate the area of a kite, multiply half of the product of its diagonals. This formula gives the total enclosed space within the kite.

30. What is the formula for finding the lateral surface area of a cylinder?

2 x Pi x Height
2 x Pi x Radius
Pi x Diameter
2 x Pi x Radius x Height
Explanation:

To calculate the lateral surface area of a cylinder, multiply 2 times Pi by the radius of the base and the height of the cylinder. This gives the total area of the side surface.

31. How do you calculate the area of a trapezoid?

Side x Side
Height x (Base1 + Base2) / 2
Length x Width
Perimeter x Side
Explanation:

To find the area of a trapezoid, multiply the height of the trapezoid by the sum of its parallel bases and then divide the result by 2. This formula gives the total enclosed space.

32. What is the formula for finding the area of a regular hexagon?

3/2 x Side^2 x SQRT(3)
Perimeter x Apothem
Side x Side
Height x Base
Explanation:

The area of a regular hexagon can be found by multiplying 3/2 times the square of a side and the square root of 3. This formula applies to all regular hexagons.

33. How do you find the area of a sector in a circle given the radius and the central angle?

Diameter x Radius
Pi x Radius^2
Angle/360 x 2 x Pi x Radius^2
2 x Pi x Radius x Height
Explanation:

To calculate the area of a sector in a circle, multiply the fraction of the circle defined by the central angle by 2 times Pi and the square of the radius. This gives the area of the sector.

34. What is the formula for finding the area of an equilateral triangle?

Side x Side
Side^2 x SQRT(3)/4
Height x Base
1/2 x Base x Height
Explanation:

To find the area of an equilateral triangle, square the length of one of its sides, multiply by the square root of 3, and divide by 4. This formula works specifically for equilateral triangles.

35. How do you calculate the area of a semicircle?

2 x Pi x Radius
Radius x Diameter
1/2 x Pi x Radius^2
Pi x Radius^2
Explanation:

To find the area of a semicircle, multiply half of Pi by the square of its radius. This gives half the total area covered by a full circle.

36. What is the formula for finding the area of a trapezoidal prism?

2 x Pi x Radius x Height
2 x Pi x Radius
Height x (Base1 + Base2)/2
Pi x Diameter
Explanation:

To calculate the area of a trapezoidal prism, multiply the height by the sum of the bases and then divide the result by 2. This formula gives the total surface area.

37. How do you find the area of a sector in a circle given the radius and arc length?

2 x Pi x Radius x Height
Arc Length/Radius
Angle/360 x Pi x Radius^2
Diameter x Radius
Explanation:

To calculate the area of a sector in a circle using the arc length, divide the arc length by the radius of the circle. This gives the area of the sector.

38. What is the formula for finding the area of a regular octagon?

Perimeter x Apothem
2 x Side^2 x (1 + SQRT(2))
Height x Base
Side x Side
Explanation:

The area of a regular octagon can be calculated by multiplying 2 times the square of a side by the quantity 1 plus the square root of 2. This formula applies to all regular octagons.

39. How do you find the area of a cyclic quadrilateral?

Perimeter x Side
1/2 x Diagonal1 x Diagonal2 x Sin(angle)
Height x Base
Side x Side
Explanation:

To calculate the area of a cyclic quadrilateral, multiply half of the product of its diagonals by the sine of the included angle. This formula gives the total enclosed space within the cyclic quadrilateral.

40. What is the formula for finding the area of a cone?

2 x Pi x Radius x Height
Pi x Radius^2 x Height
Pi x Diameter
2 x Pi x Radius
Explanation:

The formula for calculating the area of a cone is to multiply Pi by the square of its radius and then multiply the product by the height of the cone. This gives the total surface area.

41. How do you calculate the area of a regular pentagon?

1/2 x Perimeter x Apothem
Side x Height
5/2 x Side x Apothem
Diameter x Radius
Explanation:

For a regular pentagon, the area can be found by multiplying 5/2 times the side length of the pentagon by its apothem (the distance from the center to a side). This formula applies to all regular pentagons.

42. What is the formula for finding the lateral surface area of a pyramid?

2 x Pi x Radius
Pi x Diameter
Perimeter x Side
Height x (Base1 + Base2)/2
Explanation:

To calculate the lateral surface area of a pyramid, multiply the perimeter of the base by a side length of the pyramid. This gives the total area of the side faces.

43. How do you find the area of an isosceles triangle?

1/2 x Base x Height
Base^2 x SQRT(3)/4
Side x Side
Height x Base
Explanation:

To find the area of an isosceles triangle, multiply half of the base by the height of the triangle. This formula works specifically for isosceles triangles.

44. What is the formula for finding the area of a sphere?

4 x Pi x Radius^2
2 x Pi x Radius
4 x Pi x Radius
Pi x Diameter
Explanation:

The formula for calculating the area of a sphere is to multiply 4 times Pi by the square of its radius. This gives the total surface area of the sphere.