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5th Year Maths Resource

Total questions: 100

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

Emma is building a small wooden box in the shape of a cube for her art project. What is the formula to measure the volume of the cube?

a)

V = side^2

b)

V = 6 * side

c)

V = 4/3 * π * radius^3

d)

V = side^3

2.

Ethan is building a small box with a side length of 3 centimetres. What is the volume of the box?

a)

12 cubic centimetres

b)

27 cubic centimetres

c)

36 cubic centimetres

d)

9 cubic centimetres

3.

Benjamin is designing a cylindrical water tank for his garden. How do you calculate the volume of the tank?

a)

V = 2πrh

b)

V = πr²h

c)

V = 4/3πr³

d)

V = πr² + h

4.

Charlotte is making a cylindrical vase with a radius of 2 centimetres and a height of 5 centimetres. What is the volume of the vase?

a)

30π cubic centimetres

b)

20π cubic centimetres

c)

10π cubic centimetres

d)

15π cubic centimetres

5.

Emma is making a recipe that requires 2 litres of milk. How many millilitres of milk does she need?

a)

2500 millilitres

b)

1500 millilitres

c)

2000 millilitres

d)

1000 millilitres

6.

Oliver is making a recipe that requires 1 litre of milk. How many millilitres of milk does he need to use?

a)

250 millilitres

b)

1500 millilitres

c)

1000 millilitres

d)

500 millilitres

7.

Nora has a bottle that contains 500 ml of water. How many litres of water does she have?

a)

250 ml

b)

0.5 litres

c)

1 litre

d)

0.25 litres

8.

Aiden is building a small box-shaped planter for his garden. If each side of the planter is 4 centimetres long, what is the volume of the planter?

a)

64 cubic centimetres

b)

32 cubic centimetres

c)

48 cubic centimetres

d)

80 cubic centimetres

9.

Henry is designing a cylindrical container that needs to hold a volume of 30 cm³. If the height of the container is 5 cm, what is the radius of the base?

a)

2.50 cm

b)

3.14 cm

c)

1.00 cm

d)

1.24 cm

10.

Harper has a water bottle that holds 2 litres of water. How many millilitres of water can the bottle hold?

a)

Multiply the number of litres by 100.

b)

Add 1000 to the number of litres.

c)

Divide the number of litres by 10.

d)

Multiply the number of litres by 1000.

11.

Mia is making a fruit punch for a party. She pours 1.5 litres of juice into a large bowl. How many millilitres of juice did she pour?

a)

1000 millilitres

b)

2000 millilitres

c)

750 millilitres

d)

1500 millilitres

12.

Lily is packing a gift box that measures 10 cm by 5 cm by 2 cm. What is the volume of the box?

a)

200 cm³

b)

50 cm³

c)

100 cm³

d)

80 cm³

13.

Priya is designing a cylindrical water tank for her garden. The tank has a diameter of 10 centimetres and a height of 10 centimetres. What is the volume of the tank?

a)

250π cm³

b)

300π cm³

c)

200π cm³

d)

100π cm³

14.

David has a 1 litre bottle. If he pours 250 ml of water into it, how much space is left in the bottle?

a)

250 ml

b)

1 litre

c)

750 ml

d)

500 ml

15.

Ava is filling up her new aquarium, which has a volume of 60 litres. How many millilitres of water does she need to fill it completely?

a)

60 millilitres

b)

6000 millilitres

c)

60000 millilitres

d)

600000 millilitres

16.

Michael is designing a spherical fish tank with a radius of 3 centimetres. What is the volume of the tank?

a)

36π cubic centimetres

b)

27π cubic centimetres

c)

4/3π cubic centimetres

d)

9π cubic centimetres

17.

Evelyn is building a rectangular sandbox for her backyard. If the sandbox has dimensions 4 cm by 3 cm by 2 cm, what is its volume?

a)

18 cm³

b)

12 cm³

c)

20 cm³

d)

24 cm³

18.

Anika has a water bottle that can hold 0.75 litres of water. How many millilitres of water can the bottle hold?

a)

500 millilitres

b)

1000 millilitres

c)

750 millilitres

d)

250 millilitres

19.

Lucas is creating a cylindrical candle with a radius of 3 cm and a height of 10 cm. What is the volume of the candle?

a)

120π cubic centimetres

b)

60π cubic centimetres

c)

30π cubic centimetres

d)

90π cubic centimetres

20.

Sophia is filling a rectangular swimming pool that measures 8 m by 4 m by 2 m. What is the volume of the pool?

a)

16 cubic metres

b)

80 cubic metres

c)

32 cubic metres

d)

64 cubic metres

21.

James has a spherical balloon with a radius of 5 cm. What is the volume of the balloon?

a)

250/3π cubic centimetres

b)

125π cubic centimetres

c)

100π cubic centimetres

d)

500/3π cubic centimetres

22.

What is the formula for calculating the volume of a cube?

a)

V = s^2

b)

V = 6s

c)

V = 4s

d)

V = s^3

23.

How do you find the volume of a cylinder?

a)

V = πr²h

b)

V = 2πrh

c)

V = πd²h/4

d)

V = 4/3πr³

24.

What unit is commonly used to measure volume?

a)

meters

b)

grams

c)

seconds

d)

liters

25.

What is the volume of a sphere formula?

a)

V = 2πr²

b)

V = πr²h

c)

V = (1/3)πr²h

d)

V = (4/3)πr³

26.

How does the volume of a rectangular prism differ from that of a cube?

a)

The volume of a rectangular prism can vary based on its dimensions, while a cube has a fixed volume based on the length of its equal sides.

b)

A cube can have varying volumes depending on its dimensions.

c)

The volume of a rectangular prism is always larger than that of a cube.

d)

Both shapes have the same volume regardless of their dimensions.

27.

What is the relationship between area and volume?

a)

Area measures the volume of a shape.

b)

Area is a measure of two dimensions, while volume is a measure of three dimensions.

c)

Volume is always larger than area.

d)

Area and volume are the same concept.

28.

How do you convert cubic centimeters to liters?

a)

Add 1000 to the cubic centimeters.

b)

Divide the cubic centimeters by 1000.

c)

Convert cubic centimeters to milliliters first.

d)

Multiply the cubic centimeters by 1000.

29.

What is the volume of a cone formula?

a)

V = π * r² * h

b)

V = (1/3) * π * r² * h

c)

V = π * r² * (h + 1)

d)

V = (1/2) * π * r² * h

30.

How can you calculate the volume of an irregular shape?

a)

Measure the weight and divide by density.

b)

Estimate based on the shape's appearance.

c)

Use the water displacement method to measure the volume.

d)

Use a ruler to measure each side and multiply.

31.

What is the significance of volume in real-world applications?

a)

Volume is significant for capacity measurement, material requirements, and space utilization in various fields.

b)

Volume has no impact on construction projects.

c)

Volume is irrelevant in scientific research.

d)

Volume is only important in cooking recipes.

32.

What is the formula for calculating the volume of a cube?

a)

V = s^2

b)

V = 6s

c)

V = 4s

d)

V = s^3

33.

How do you find the volume of a cylinder?

a)

V = πr²h

b)

V = 2πrh

c)

V = πd²h/4

d)

V = 4/3πr³

34.

What unit is commonly used to measure volume?

a)

meters

b)

grams

c)

seconds

d)

liters

35.

What is the volume of a sphere formula?

a)

V = 2πr²

b)

V = πr²h

c)

V = (1/3)πr²h

d)

V = (4/3)πr³

36.

How does the volume of a rectangular prism differ from that of a cube?

a)

The volume of a rectangular prism can vary based on its dimensions, while a cube has a fixed volume based on the length of its equal sides.

b)

A cube can have varying volumes depending on its dimensions.

c)

The volume of a rectangular prism is always larger than that of a cube.

d)

Both shapes have the same volume regardless of their dimensions.

37.

What is the relationship between area and volume?

a)

Area measures the volume of a shape.

b)

Area is a measure of two dimensions, while volume is a measure of three dimensions.

c)

Volume is always larger than area.

d)

Area and volume are the same concept.

38.

How do you convert cubic centimeters to liters?

a)

Add 1000 to the cubic centimeters.

b)

Divide the cubic centimeters by 1000.

c)

Convert cubic centimeters to milliliters first.

d)

Multiply the cubic centimeters by 1000.

39.

What is the volume of a cone formula?

a)

V = π * r² * h

b)

V = (1/3) * π * r² * h

c)

V = π * r² * (h + 1)

d)

V = (1/2) * π * r² * h

40.

How can you calculate the volume of an irregular shape?

a)

Measure the weight and divide by density.

b)

Estimate based on the shape's appearance.

c)

Use the water displacement method to measure the volume.

d)

Use a ruler to measure each side and multiply.

41.

What is the significance of volume in real-world applications?

a)

Volume is significant for capacity measurement, material requirements, and space utilization in various fields.

b)

Volume has no impact on construction projects.

c)

Volume is irrelevant in scientific research.

d)

Volume is only important in cooking recipes.

42.
h represents...
a)
Height
b)
Hill
c)
Height of Base
d)
Area of Height
43.

V represents...

a)

Volume

b)

Variable

c)

Vertical

d)

Vegetable

44.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

45.
What is the formula for circumference of a circle given the diameter?
a)
C = π r
b)
C = 2 π r
c)
c = π d
d)
C = π 2 d
46.

This is a triangular prism. What would the big B be for this shape?

a)

bh

b)

Bh

c)

1/2bh

47.

What would big B represent for this rectangular prism?

a)

bh

b)

Bh

c)

1/2bh

48.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
49.

This is a triangular pyramid. What would be the big B for this shape?

a)

bh

b)

Bh

c)

1/2bh

d)

πrr

50.

Match the following

a)

Complementary Angles

1.

90 degrees

b)

Supplementary Angles

2.

180 degrees

c)

Area of a Circle Formula

3.

πrr

d)

Circumference of a Circle Formula

4.

2πr

e)

Big B

5.

area of the base

51.

πr² really means πrr

a)
True
b)
False
52.

πr² really means πr times 2

a)
True
b)
False
53.

Match each to the correct formula.

a)

1.

B=1/2bh

b)

2.

B=bh

c)

3.

A=πrr

d)

Pyramid

4.

V=1/3Bh

e)

Prism

5.

V=Bh

54.

Complementary angles add up to 180 degrees.

a)
True
b)
False
55.

Supplementary angles​ ​ (a)   up to ​ (b)  

Choose from the below words
add
180
90
subtract
56.

B for the following shape is

a)

B=1/3bh

b)

B=1/2bh

c)

B=bh

d)

B=1/2(b+b)h

57.

B for the following shape is

a)

B=1/3bh

b)

B=1/2bh

c)

B=bh

d)

B=1/2(b+b)h

58.

B for the shape is

a)

B=1/3bh

b)

B=1/2bh

c)

B=bh

d)

B=1/2(b=b)h

59.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
60.
What is the formula for the VOLUME of a PYRAMID?
a)
1/2pl
b)
4/3(pi)r3
c)
1/3Bh
d)
1/3(pi)r2h
61.

Which of the following formulas would be used to find the area of the base?

a)

A=bhA=bh

b)

A=12bhA=\frac{1}{2}bh

c)

V=BhV=Bh

d)

V=13BhV=\frac{1}{3}Bh

62.

Volume of Rectangular prisms are calculated...

a)

Base Area of a rectangle x Height of the prism

b)

Base Area of a triangle x Height of the prism

63.

Volume of Triangular prisms are calculated...

a)

Base Area of a rectangle x Height of the prism

b)

Area of a triangle x Height of the prism

64.

Triangular prism and Triangular pyramid; both have bases as Triangles

a)

True

b)

False

65.

For calculating the VOLUME of Pyramids...

a)

Base Area x height, then divide it with 3

b)

Base Area x height

c)

Length x width

d)

base x height divide it with 2

66.

Both prisms and pyramids are named for their

a)

vertices

b)

edges

c)

base(s)

d)

faces

67.

V=​ 1/3​ (a)   h

Choose from the below words
1/2bh
bh
πrr
2πr
68.

What formula do you need for a triangular prism?

a)

V=1/2bhh

b)

V=1/3bhh

c)

V=1/2bh

d)

V=bhh

69.

What formula do you need for a rectangular prism?

a)

V=1/2bhh

b)

V=bhh

c)

V=1/3bhh

d)

V=1/3(1/2)bhh

70.

What formula do you need for a triangular pyramid?

a)

V=1/2bhh

b)

V=1/3bhh

c)

V= 13\frac{1}{3} 12\frac{1}{2} bhh

d)

V=bhh

71.

What formula would you use for a rectangular pyramid?

a)

V=1/2bhh

b)

V=1/3bhh

c)

V= 13\frac{1}{3} 12\frac{1}{2} bhh

d)

V=bhh

72.

What formula would you use for a cube?

a)

V=1/2bhh

b)

V= 13\frac{1}{3} 12\frac{1}{2} bhh

c)

V=bhh

d)

V=1/3bhh

73.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
74.
Calculate the volume. 
a)
 90 cm³
b)
150 cm³
c)
180 cm³
75.
Find the volume
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
76.
B represents...
a)
Area of Base
b)
Base
c)
Bottom
d)
Area of Bridge
77.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
78.
Find the volume of the prism.
a)
27 cm3
b)
72 cm3
c)
180 cm3
d)
360 cm3
79.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
80.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
81.
What is the volume of this prism?
a)
24 cubic cm
b)
240 cubic cm
c)
60 cubic cm
82.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
83.

What is the formula for calculating density?

a)

Density = Mass × Volume

b)

Density = Mass ÷ Volume

c)

Density = Volume ÷ Mass

d)

Density = Mass + Volume

84.

Which of the following units is commonly used to express density?

a)

Kilograms (kg)

b)

Meters (m)

c)

Kilograms per cubic meter (kg/m³)

d)

Liters (L)

85.

If a substance has a mass of 200 grams and a volume of 50 cm³, what is its density?

a)

2 g/cm³

b)

4 g/cm³

c)

5 g/cm³

d)

6 g/cm³

86.

Which of the following statements is true about the density of water?

a)

The density of water is 1 g/cm³ at 4°C.

b)

The density of water is 1 kg/m³ at 4°C.

c)

The density of water is 10 g/cm³ at 4°C.

d)

The density of water is 0.1 g/cm³ at 4°C.

87.

A block of wood has a density of 0.6 g/cm³. Will it float or sink in water, and why?

a)

Sink, because its density is greater than water.

b)

Float, because its density is less than water.

c)

Sink, because its density is less than water.

d)

Float, because its density is greater than water.

88.

How does temperature generally affect the density of a substance?

a)

Density increases as temperature increases.

b)

Density decreases as temperature increases.

c)

Density remains constant as temperature increases.

d)

Density fluctuates randomly as temperature increases.

89.

A metal cube has a side length of 3 cm and a mass of 81 grams. What is its density?

a)

3 g/cm³

b)

9 g/cm³

c)

27 g/cm³

d)

1 g/cm³

90.

Explain why ice floats on water.

a)

Ice is heavier than water.

b)

Ice has a higher density than water.

c)

Ice has a lower density than water.

d)

Ice and water have the same density.

91.

If two objects have the same volume but different masses, which one will have a higher density?

a)

The one with the higher mass.

b)

The one with the lower mass.

c)

Both will have the same density.

d)

Density cannot be determined from mass and volume.

92.

A liquid has a density of 0.8 g/cm³. If you pour it into water, what will happen?

a)

It will sink to the bottom.

b)

It will float on top.

c)

It will mix evenly with water.

d)

It will evaporate immediately.

93.

Which of the following materials is likely to have the highest density?

a)

Air

b)

Water

c)

Iron

d)

Wood

94.

A piece of metal has a mass of 300 grams and displaces 100 cm³ of water when submerged. What is the density of the metal?

a)

1 g/cm³

b)

2 g/cm³

c)

3 g/cm³

d)

4 g/cm³

95.

Why is density an important property in identifying substances?

a)

It determines the color of the substance.

b)

It helps to identify the substance by comparing it to known densities.

c)

It changes the chemical composition of the substance.

d)

It affects the taste of the substance.

96.

If the density of a substance is 5 g/cm³, what is the mass of 10 cm³ of this substance?

a)

50 grams

b)

5 grams

c)

2 grams

d)

15 grams

97.

How can the concept of density be used to separate mixtures?

a)

By heating the mixture until it evaporates.

b)

By using a magnet to attract denser materials.

c)

By allowing denser materials to settle at the bottom.

d)

By dissolving the mixture in water.

98.

What is the formula for calculating the volume of a rectangular prism?

a)

V = l * w

b)

V = 2(lw + lh + wh)

c)

V = l * w * h

d)

V = l + w + h

99.

Olivia has a cylindrical container with a height of 15 cm and a radius of 4 cm. What is the volume of the container?

a)

180π cubic centimetres

b)

240 cubic centimetres

c)

240π cubic centimetres

d)

120π cubic centimetres

100.

How many litres are there in 2500 millilitres?

a)

250 litres

b)

0.25 litres

c)

2.5 litres

d)

25 litres

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