Mathematics for IGCSE & O level - Mensuration (Section 7)
1
If the length and width of a rectangle are given in millimeters, what is the correct unit to state the area?
Trả lời
(C)
mm²
2
A sphere has a surface area of 1274 cm². Calculate its radius.
Trả lời
(A)
10 cm
3
Which of the following is a unit of volume?
Trả lời
(C)
cm³
4
Find the radius of a sphere with a surface area of 153.9 cm².
Trả lời
(A)
2 cm
5
A trapezium has parallel sides of 6 cm and 10 cm, and a height of 4 cm. What is the area of the trapezium?
Trả lời
(B)
16 cm²
6
Calculate the base area of a cone with slant height 8.3 cm and curved surface area 52 cm²
Trả lời
(A)
25 cm²
7
Calculate the volume of a sphere with radius 6cm.
Trả lời
(A)
904.3 cm³
8
The volume of a cone is 50 cm³. If you triple the radius and keep the height the same, what is the new volume?
Trả lời
(C)
300 cm³
9
Which of the following is an example of a 3-dimensional shape?
Trả lời
(C)
A sphere
10
What is the area of a triangle with a base of 8 cm and a height of 5 cm?
Trả lời
(A)
20 cm²
11
In calculating the volume of a prism, what is a key factor?
Trả lời
A
C
12
A shape is made from a combination of rectangles. How would you find the area?
Trả lời
(B)
Add the areas of the individual rectangles.
13
How many sides does a cube have?
Trả lời
(B)
6
14
What units are used to measure the perimeter of a shape?
Trả lời
(C)
Linear units
15
A solid cone has base radius of 6.5 cm and a height of 6.3 cm. Calculate its total surface area.
Trả lời
(C)
334.4 cm²
16
If you need to calculate the amount of paint required for a wall, what are you calculating?
Trả lời
(B)
Area
17
A cone has base radius 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Trả lời
(A)
154.5 cm²
18
Which of the following can be used to calculate the circumference of a circle?
Trả lời
A
B
19
If the radius of a circle is 7cm, what is its approximate circumference?
Trả lời
(A)
44 cm
20
What is the area of a triangle with a base of 4 meters and a height of 6 meters?
Trả lời
(B)
12 m²
21
A cone has a base radius of 5 cm and a perpendicular height of 12 cm. Calculate for curved surface area.
Trả lời
(B)
204.2 cm²
22
What shape has a volume?
Trả lời
(D)
Sphere
23
If you have a shape that isn't a standard shape, what's one way to calculate its area?
Trả lời
(C)
Try to divide the shape into simpler shapes.
24
Which of the following best describes 'area'?
Trả lời
(C)
The amount of surface covered by a 2D shape
25
What is the volume of a cone with a radius of 3 cm and a height of 5 cm?
Trả lời
(A)
47.1 cm³
26
What geometric shape is used to find the area of a circle?
Trả lời
(D)
Circle
27
What is the perimeter of a square with sides of 9cm?
Trả lời
(B)
36 cm
28
What is the difference between circumference and perimeter?
Trả lời
(B)
Circumference is the perimeter of a circle, perimeter is for other shapes.
29
What does 'π' represent in geometric calculations?
Trả lời
(C)
The ratio of a circle's circumference to its diameter
30
How do you determine the area of a compound shape made of rectangles?
Trả lời
(B)
Split the shape into smaller rectangles, calculate the area of each, and sum the areas.
31
A rectangle has an area of 72 cm² and a length of 9 cm. What is the width?
Trả lời
(B)
8 cm
32
What is the area of a triangle with base 10cm and height 8cm?
Trả lời
(A)
40 cm²
33
How is the area of a parallelogram calculated?
Trả lời
(C)
Base * height
34
A solid cone has base radius of 5.3 cm and a height of 6.1 cm. Calculate the total surface area of a hemisphere with radius 7.1 cm and diameter 4.7 cm.
Trả lời
(B)
287.6 cm²
35
What is the area of a square with sides of 9cm?
Trả lời
(C)
81 cm²
36
A parallelogram has a base of 10cm and a height of 5cm. If the base is increased by 2cm, what is the new area?
Trả lời
(B)
60 cm²
37
What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?
Trả lời
(C)
60 cm³
38
A trapezium has an area of 24 cm². The parallel sides are 4 cm and 8 cm. What is the height?
Trả lời
(B)
4 cm
39
Which of these statements about calculating area are correct?
Trả lời
A
C
D
40
What type of units do we use to express the area of a shape?
Trả lời
(C)
Square units
41
The volume of a cylinder is 400 cm³. Its radius is 5.3 cm. Calculate its height.
Trả lời
(A)
4.5 cm
42
The area of a trapezium can be found using the formula: 1/2 * (a+b) * h. What do 'a' and 'b' represent?
Trả lời
(B)
The two parallel sides.
43
If you double the base of a triangle and keep the height the same, how does the area change?
Trả lời
(B)
The area doubles.
44
Which of the following is a unit used to measure volume?
Trả lời
(C)
cm³
45
The surface area of a hemisphere has an area of 9π cm². Calculate the curved surface area.
Trả lời
(C)
18π cm²
46
A rectangular garden is 10 meters long and 7 meters wide. How many meters of fencing are needed to enclose the garden?
Trả lời
(B)
34 meters
47
What information is needed to find the area of a triangle?
Trả lời
A
B
48
Which shapes have two parallel sides?
Trả lời
A
C
D
49
The area of a rectangle is found by multiplying its length and width. What type of units would be the correct for area?
Trả lời
(B)
Square units
50
What is the term for the distance around a 2D shape?
