Mathematics for IGCSE & O level - Mensuration (Section 11)
1
If a solid hemisphere has a radius of 4 cm, what is its volume?
پاسخ دهید
(D)
100 cm³
2
In what units should area always be expressed?
پاسخ دهید
(C)
Square Units
3
When working out to solve a problem, what is the first step to follow?
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(B)
Read the question carefully
4
A rectangular field is 20m long and has an area of 100m². What is the width of the field?
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(A)
5 m
5
A pyramid has a square base with a side of 4cm and a perpendicular height of 9cm. What is the volume of the pyramid?
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(A)
48 cm³
6
What information is needed to calculate the area of a rectangle?
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A
B
7
What do you need to find the area of a triangle?
پاسخ دهید
A
B
8
What is the approximate circumference of a circle with a radius of 14cm?
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(C)
176 cm
9
How is the slant height of a cone related to its radius and height?
پاسخ دهید
(B)
Slant height = √(radius² + height²)
10
Calculate the volume of a prism. 10cm long with each of these cross sections: Triangle with base 2cm, height 8.5cm
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(A)
85 cm³
11
What is the volume of a prism?
پاسخ دهید
(A)
area of cross-section x length
12
Which of the following shapes would need the Pythagorean Theorem to calculate its area?
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(C)
A right-angled triangle
13
Which of the following are key parts of the formula for the area of a sector of a circle?
پاسخ دهید
A
B
14
Which formula is used to calculate the area of a triangle?
پاسخ دهید
(C)
Area = 1/2 * base * height
15
A vase is a prism with a cross section as shown. The internal measurements are as shown. How much water can the vase hold? Give your answer in litres. (Remember that 1 litre = 1000cm³). The vase is a right angle traingle with sides 12cm x 15cm and 10cm high.
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(A)
0.90 Litres
16
What is an important part of every answer to a mensuration problem?
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(B)
The correct units are included.
17
What is the formula for arc length?
پاسخ دهید
(B)
(θ/360) x 2πr
18
Which of the following formulas is used to calculate the curved surface area of a cylinder?
پاسخ دهید
(A)
2πrh
19
What is the relationship between the radius (r) and the diameter (d) of a circle?
پاسخ دهید
A
B
20
What is the formula for the surface area of a solid hemisphere (including the base)?
پاسخ دهید
(B)
3πr²
21
Which of the following are required to calculate the volume of a prism?
پاسخ دهید
A
B
22
What must you remember when giving an answer for area?
پاسخ دهید
(A)
That all units are square units.
23
What do you need to know to calculate the volume of a cylinder?
پاسخ دهید
A
B
24
A sphere has a surface area of 1274 cm². Calculate its radius.
پاسخ دهید
(A)
10.1 cm
25
What is the relationship between the surface area of a sphere and the area of its great circle?
پاسخ دهید
(C)
The surface area is four times the area of the great circle.
26
A pyramid has a volume of 50 cm³ and a base area of 15 cm². What is the height of the pyramid?
پاسخ دهید
(D)
10 cm
27
A parallelogram has a base of 7cm and a height of 4 cm. What is the area?
پاسخ دهید
(A)
28 cm²
28
What formula is used to determine the volume of a pyramid?
پاسخ دهید
(A)
1/3 x area of base x height
29
A cone has a base with an area of 28.26 cm² and a height of 6 cm. What is the volume of the cone?
پاسخ دهید
(A)
56.52 cm³
30
The surface area of a sphere is 64π cm². What is the radius of the sphere?
پاسخ دهید
(A)
4 cm
31
What is the area of a triangle with a base of 10 cm and a height of 5 cm?
پاسخ دهید
(B)
25 cm²
32
What is the area of a parallelogram with a base of 6 cm and a height of 8 cm?
پاسخ دهید
(B)
48 cm²
33
A sphere containing liquid has a capacity of 7.15 litres. Calculate its radius.
پاسخ دهید
(B)
11.8 cm
34
What is the volume of a hemisphere with a radius of 6 cm?
پاسخ دهید
(C)
226.2 cm³
35
What is the total surface area of a cylinder with a radius of 3cm and a height of 7cm?
پاسخ دهید
(A)
188.5 cm²
36
A chocolate box is in the shape of a triangular prism. Calculate its volume. The triangle is 6.2cm height, 5cm base and prism is 12cm long.
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(A)
186 cm³
37
What units are used to measure volume?
پاسخ دهید
(B)
Cubic units
38
The circumference of a circle can be calculated using the formula: C = πd. What does 'd' represent?
پاسخ دهید
(B)
Diameter
39
Which of the following shape has a base and curved surface?
پاسخ دهید
(C)
Cone
40
What is the relationship between a circle and a sector?
پاسخ دهید
(A)
A sector is a part of a circle.
41
Which is the best method to calculate the volume of an irregular shape?
پاسخ دهید
(C)
Use water displacement.
42
If the height of a cylinder is doubled, how is its volume affected?
پاسخ دهید
(A)
The volume doubles.
43
What is the area of a parallelogram with a base of 12cm and a height of 5cm?
پاسخ دهید
(A)
60 cm²
44
The volume of a cuboid is calculated by:
پاسخ دهید
(C)
length * width * height
45
What are the Key Points used for?
پاسخ دهید
(B)
To study the formulas and properties
46
The volume of a prism is always calculated using:
پاسخ دهید
(C)
The area of its cross-section x length
47
A trapezium has parallel sides of 5cm and 7cm and a height of 3cm. What is the area?
پاسخ دهید
(C)
21 cm²
48
What is the formula for the area of a parallelogram?
پاسخ دهید
(C)
base x height
49
What is a 'frustum' in the context of 3D shapes?
پاسخ دهید
(B)
The portion of a cone or pyramid remaining after the top is cut off
