Grade 4 Mathematics – Area Quiz

1. What is the area of this circle of radius 5cm?

314.16 m2
82.13 m2
78.50 m2
170.12 m2
Explanation:

2. What is the area of this circle of radius 3cm?

28.26 cm2
113.1 cm2
19.81 cm2
62.59 cm2
Explanation:

3. What is the area of this circle of diameter 38cm?

8322.13 cm2
1267.09 cm2
4536.46 cm2
1133.54 cm2
Explanation:

4. Find the area of the circle of radius 7cm.

153.86
43.96
87.82
307.72
Explanation:

5. If the diameter of a circle is 50 yards, the radius is _____

150 yards
25 yards
100 yards
15 yards
Explanation:

6. If the radius of a circle is 12.5 meters, the diameter is ____

125 meters
25 meters
50 meters
6.25 meters
Explanation:

7. What is the area of this circle,diameter 12cm?(answers are in square centimeter)

124.2
163.2
15.3
113.1
Explanation:

8. What is the area of this circle,radius 12.5cm?

470.63 cm2
480.63 cm2
490.63 cm2
460.63 cm2
Explanation:

9. What is the area of this circle,radius 1.98m?

13.31 m2
12.31 m2
11.31 m2
10.31 m2
Explanation:

10. what is the area of a circle with the diameter of 10cm ?

78.5cm2
66.5cm
66cm
10m
Explanation:

11. Marisa purchases a pot for her father's garden. The diameter of the bottom of the pot is 18 cm. What is the area of the pot's bottom? (Round to the nearest whole number.)

28 cm²
254 cm²
1017 cm²
57 cm²
Explanation:

12. a line that goes from one edge of the circle to another and crosses the center point

center
dime eater
diameter
radius
Explanation:

13. a line from the center point to the edge of the circle

pi
radius
radio
diameter
Explanation:

14. What is the area of a circle with a diameter of 10 cm ?

15.7 cm²
314 cm²
78.5 cm²
31.4 cm²
Explanation:

15. What is the formula for area of a circle given the radius?

A = 2πr
A = πr
A = πd
A = πr²
Explanation:

16. What is the area of a circle with a radius of 21 cm?

4348.08 cm2
1384.74 cm2
1289.12 cm2
2142.12 cm2
Explanation:

17. Which of the following choices is closest to the area of a circle? (d = 9 cm)

56.52 cm2
253.34 cm2
28.26 cm2
63.59 cm2
Explanation:

18. What is the area of a square with a length of 4 cm?

16 cm
16 square cm
8 cm
8 square cm
Explanation:

19. What is the area of the square of side 39cm?

2,511 cm2
2,151 cm2
1,521 cm2
1,251 cm2
Explanation:

20. find the square whose side is 3cm

4cm2
16cm2
9cm2
7cm2
Explanation:

21. What is the formula for the area of a rectangle?

Length x Width
Width x Width
Length x Length
Width + Width
Explanation:

22. Find the area of the square of side 10m

10 square units
100 square units
10
40 units
Explanation:

23. Find the area of the square of side 5cm.

5 cm
20 cm2
55 cm
25 cm2
Explanation:

24. A square has measures 4 inches by 4 inches. What is the area?

16 units
16 inches2
8 inches2
8 square inches
Explanation:

25. A square has a side that measures 3 inches. What is the area?

9 inches2
3 inches2
3 inches
12 square inches
Explanation:

26. A square has a side that measures 10 units. What is the area?

100 units2
100 units
10 cm
10 units
Explanation:

27. A square has a side that measures 20 cm. What is the area?

400 square cm
20 cm
400
20 cm2
Explanation:

28. A square has sides that measure 9 feet by 9 feet. What is the area?

81 square feet
81
18 feet2
18 feet
Explanation:

29. What is the area of this rectangle,length 9m and width 5m?

50 square meters
45 square meters
28 meters
40 square meters
Explanation:

30. What does area mean?

the distance around a shape
the amount of space outside a shape
half the distance around a shape
the amount of space inside a shape
Explanation:

31. Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?

90 sq. in.
100 sq. in.
90 in.
79 sq. in.
Explanation:

32. The area of a rectangle is 72 sq units. One side length is 9 units. What is the other side length?

8 units
9 units
7 units
10 units
Explanation:

33. The area of a rectangle is 63 sq. inches. One side length is 7 inches. What is the other side length?

7 in.
10 in.
9 in.
6 in.
Explanation:

34. The area of a rectangle is 49 sq. in. One side length is 7 in. What is the other side length?

9 in.
10 cm.
3 in.
7 in.
Explanation:

35. The area of a square is 9 sq. cm. One side length is 3 cm. What is the other side length?

7 cm
3 cm
2 cm
4 cm
Explanation:

36. What is the length of the side of a square with an area of 16 square units?

8 square units
4 units
4 square units
8 units
Explanation:

37. How do you find the AREA of a TRIANGLE?

1/3 (Length x width)
1/2 (Length x width)
Length x Width
Base x Height
Explanation:

To find the area of a triangle, you multiply the base by the height and then divide by 2.

38. What is the area of this triangle of height 4cm and base 3cm?

12 cm
6 cm
12 sq. cm.
6 sq. cm.
Explanation:

39. Find the area of a triangle with a height of 4 mm and a base of 6 mm?

5 mm squared
6 mm squared
12 mm squared
24 mm squared
Explanation:

40. What is the area of a triangle with a height of 10 m and a base of 6 m?

60 mm squared
30 mm squared
16 mm squared
35 mm squared
Explanation:

41. What is the formula for finding the area of a square?

A = s + s
A = s x s
A = s x 4
A = 2 x s
Explanation:

The formula to find the area of a square is to multiply the side length by itself, so it is A = s x s.

42. Which shape has a greater area - a circle with radius 5cm or a square with side length 4cm?

Circle
Cannot be determined
Square
Both are equal
Explanation:

The area of a circle with radius 5cm can be calculated using the formula A = πr^2, which is greater than the area of a square with side length 4cm.

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

A = 2 x (l + w)
A = l x 2
A = l + w
A = l x w
Explanation:

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

44. What is the area of a triangle with base 6cm and height 4cm?

24 sq cm
12 sq cm
16 sq cm
20 sq cm
Explanation:

The area of a triangle is given by the formula A = 0.5 x base x height, so for this triangle it is A = 0.5 x 6 x 4 = 12 sq cm.

45. A circle has a radius of 7cm. What is the area of the circle?

49 sq cm
22 sq cm
44 sq cm
154 sq cm
Explanation:

The area of a circle is given by the formula A = πr^2, so A = π x 7^2 = 154 sq cm.

46. How can you find the area of a complex shape?

None of the above
Subtract the areas of individual shapes
Divide the areas of individual shapes
Add the areas of individual shapes
Explanation:

To find the area of a complex shape, you can break it down into simpler shapes and add their individual areas to get the total area.

47. If the side length of a square is doubled, by what factor does the area increase?

Quadrupled
Remains the same
Doubled
Halved
Explanation:

If the side length of a square is doubled, the area increases by a factor of 4, as the area is directly proportional to the square of the side length.

48. What is the area of a square with perimeter 28cm?

81 sq cm
64 sq cm
49 sq cm
36 sq cm
Explanation:

If the perimeter of a square is 28cm, each side length is 7cm. The area of the square is then A = 7 x 7 = 49 sq cm.

49. What is the area of a parallelogram with base 10cm and height 6cm?

60 sq cm
50 sq cm
70 sq cm
80 sq cm
Explanation:

The area of a parallelogram is given by the formula A = base x height, so for this parallelogram it is A = 10 x 6 = 60 sq cm.

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

A = 2 x (length + width)
A = length x width
A = length + 2 x width
A = length + width
Explanation:

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

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

A = 2 x side
A = side x side
A = side + side
A = side / 2
Explanation:

To find the area of a square, you multiply the length of one side by itself.

52. What is the unit of measurement for area?

Square units
Kilograms
Meters
Centimeters
Explanation:

Area is measured in square units, such as square meters or square centimeters.

53. How do you find the area of a triangle?

A = 1/2 x base x height
A = base + height
A = 2 x (base x height)
A = base x height
Explanation:

To find the area of a triangle, you multiply the base by the height and then divide by 2.

54. What does the area represent in a shape?

The width of the shape
The amount of space inside the shape
The perimeter of the shape
The height of the shape
Explanation:

The area of a shape represents the amount of space enclosed by the shape.

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

A = πr^2
A = 2r^2
A = 1/2Ï€r
A = 2Ï€r
Explanation:

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

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

A = base x height
A = 1/2 x base x height
A = base + height
A = 2 x (base + height)
Explanation:

The area of a parallelogram is found by multiplying its base by its height.

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

A = sum of bases x height
A = 2 x (sum of bases + height)
A = 1/3 x sum of bases x height
A = 1/2 x sum of bases x height
Explanation:

You find the area of a trapezoid by taking the average of the two bases and multiplying by the height.

58. What is the formula for finding the area of a rhombus?

A = side x height
A = 1/2 x diagonal1 x diagonal2
A = diagonal1 x diagonal2
A = 4 x side
Explanation:

The area of a rhombus is calculated by multiplying the length of its diagonals and dividing by 2.

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

A = apothem x perimeter
A = 1/2 x apothem x side
A = 1/2 x apothem x perimeter
A = side x side
Explanation:

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

60. What is the area of a square with a side length of 5 cm?

15 square cm
20 square cm
25 square cm
10 square cm
Explanation:

To find the area of a square, you square the length of one side, so for a 5 cm square, the area is 5^2 = 25 square cm.

61. If the base of a triangle is 6 cm and the height is 8 cm, what is the area of the triangle?

36 square cm
48 square cm
30 square cm
24 square cm
Explanation:

The area of a triangle is calculated by multiplying the base by the height and dividing by 2, so for this triangle it is (6 x 8) / 2 = 24 square cm.

62. What is the area of a rectangle with length 10 m and width 4 m?

14 square m
34 square m
40 square m
24 square m
Explanation:

The area of a rectangle is found by multiplying the length by the width, so for this rectangle it is 10 x 4 = 40 square m.

63. If the radius of a circle is 3 cm, what is the area of the circle to the nearest whole number?

19
29
9
9.5
Explanation:

The formula to find the area of a circle is πr^2, so for radius 3 cm, the area is π x 3^2 = 3.14 x 9 ≈ 28.26, which rounds to 29.

64. What is the area of a parallelogram with base 7 m and height 12 m?

42 square m
72 square m
65 square m
84 square m
Explanation:

The area of a parallelogram is base x height, so for this parallelogram it is 7 x 12 = 84 square m.

65. If a trapezoid has bases of length 4 m and 6 m and a height of 9 m, what is its area?

25 square m
30 square m
13.5 square m
45 square m
Explanation:

The area of a trapezoid is 1/2 x (sum of bases) x height, so for this trapezoid it is 1/2 x (4 + 6) x 9 = 45 square m.

66. What is the area of a rhombus with diagonals of length 8 cm and 10 cm?

40 square cm
64 square cm
48 square cm
54 square cm
Explanation:

The area of a rhombus is 1/2 x (diagonal1 x diagonal2), so for this rhombus it is 1/2 x (8 x 10) = 40 square cm.

67. How do you calculate the area of a regular hexagon with a side length of 5 cm?

65 square cm
72 square cm
86 square cm
64 square cm
Explanation:

The area of a regular polygon is 1/2 x apothem x perimeter, so for this hexagon it is 1/2 x (5 x 6 x 5) = 65 square cm.

68. If a square has an area of 49 square cm, what is the length of one of its sides?

8 cm
6 cm
5 cm
7 cm
Explanation:

To find the side length of a square, you take the square root of its area, so for area 49 square cm, the side length is √49 = 7 cm.

69. What is the area of a right triangle with base 5 units and height 12 units?

25 square units
35 square units
15 square units
30 square units
Explanation:

The area of a right triangle is 1/2 x base x height, so for this triangle it is 1/2 x 5 x 12 = 30 square units.

70. If a circle has a radius of 7 cm, what is its area to the nearest whole number?

144
147
154
150
Explanation:

The formula for the area of a circle is πr^2, so for radius 7 cm, the area is 3.14 x 7^2 = 3.14 x 49 ≈ 154.

71. What is the area of a rectangle with a length of 8 inches and a width of 6 inches?

32 square inches
42 square inches
28 square inches
48 square inches
Explanation:

To find the area of a rectangle, you multiply the length by the width, so for this rectangle it is 8 x 6 = 48 square inches.

72. What is the area of a parallelogram with base 9 ft and height 6 ft?

36 square feet
45 square ft
40 square ft
54 square ft
Explanation:

The area of a parallelogram is base x height, so for this parallelogram it is 9 x 6 = 54 square ft.

73. If a trapezoid has bases of length 7 ft and 3 ft and a height of 8 ft, what is its area?

24 square feet
28 square feet
35 square feet
40 square feet
Explanation:

The area of a trapezoid is 1/2 x (sum of bases) x height, so for this trapezoid it is 1/2 x (7 + 3) x 8 = 40 square feet.

74. What is the area of a rhombus with diagonals of length 12 ft and 15 ft?

90 square ft
54 square ft
65 square ft
72 square ft
Explanation:

The area of a rhombus is 1/2 x (diagonal1 x diagonal2), so for this rhombus it is 1/2 x (12 x 15) = 90 square ft.

75. How do you calculate the area of a regular octagon with a side length of 4 ft?

32 square ft
56 square ft
48 square ft
64 square ft
Explanation:

The area of a regular polygon is 1/2 x apothem x perimeter, so for this octagon it is 1/2 x (4 x 8 x 4) = 64 square ft.

76. If a square has an area of 81 square ft, what is the length of one of its sides?

10 ft
7 ft
9 ft
8 ft
Explanation:

To find the side length of a square, you take the square root of its area, so for area 81 square ft, the side length is √81 = 9 ft.

77. What is the area of a right triangle with base 6 units and height 8 units?

20 square units
24 square units
36 square units
30 square units
Explanation:

The area of a right triangle is 1/2 x base x height, so for this triangle it is 1/2 x 6 x 8 = 24 square units.

78. If a circle has a radius of 6 ft, what is its area to the nearest whole number?

115
112
113
109
Explanation:

The formula for the area of a circle is πr^2, so for radius 6 ft, the area is 3.14 x 6^2 = 3.14 x 36 ≈ 113.