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Measurement and Conversion Quiz

Total questions: 58

Worksheet time: 3hrs 17mins

Name
Class
Date
1.

Convert 2.52.5 kilometres to metres.

a)

250250 m

b)

2,5002,500 m

c)

25,00025,000 m

d)

250,000250,000 m

2.

How many grams are there in 3.23.2 kilograms?

a)

320320 g

Explanation: To convert kilograms to grams, multiply by 1,000. 3.2×1,000=3,2003.2 \times 1,000 = 3,200

b)

3,2003,200 g

Explanation: To convert kilograms to grams, multiply by 1,000. 3.2×1,000=3,2003.2 \times 1,000 = 3,200

c)

32,00032,000 g

Explanation: This would be the result if you multiplied by 10,000 instead of 1,000. The correct conversion is 3.2×1,000=3,2003.2 \times 1,000 = 3,200

d)

320,000320,000 g

Explanation: This would be the result if you multiplied by 100,000 instead of 1,000. The correct conversion is 3.2×1,000=3,2003.2 \times 1,000 = 3,200

3.

What is the perimeter of a rectangle with length 88 m and width 55 m?

Answer Explanation: The perimeter of a rectangle is calculated using the formula 2×(length+width)2 \times (\text{length} + \text{width}) . Substituting the given values: 2×(8+5)=2×13=262 \times (8 + 5) = 2 \times 13 = 26 m. So, the correct answer is 26 m.

a)

1313 m

b)

2626 m

c)

4040 m

d)

2020 m

4.

Find the area of a rectangle with length 1212 cm and width 77 cm.

Answer Explanation:
The area of a rectangle is given by the formula:
Area=length×width\text{Area} = \text{length} \times \text{width}
Substituting the given values:
Area=12×7=84 cm2\text{Area} = 12 \times 7 = 84\ \text{cm}^2
So, the correct answer is 84 cm284\ \text{cm}^2 .

a)

1919 cm 2^2

b)

8484 cm 2^2

c)

4242 cm 2^2

d)

2424 cm 2^2

5.

Calculate the area of a triangle with base 1010 m and height 66 m.

a)

3030 m 2^2
Explanation: The area of a triangle is given by the formula:
Area = (1/2) × base × height = (1/2) × 10 × 6 = 30 m 2^2 .

b)

6060 m 2^2
Explanation: This is the result of multiplying the base and height directly (10 × 6), but the correct formula for the area of a triangle is (1/2) × base × height.

c)

1616 m 2^2
Explanation: This value does not correspond to the area calculated using the triangle area formula.

d)

3636 m 2^2
Explanation: This value does not correspond to the area calculated using the triangle area formula.

6.

What is the volume of a rectangular prism with length 44 m, width 33 m, and height 22 m?

Answer Explanation: The volume of a rectangular prism is calculated by multiplying its length, width, and height. So, Volume = 4 m × 3 m × 2 m = 24 m3.

a)

2424 m 3^3

b)

99 m 3^3

c)

1212 m 3^3

d)

1818 m 3^3

7.

A triangular prism has a base area of 1515 cm 2^2 and a height (length) of 1010 cm. What is its volume?

Answer Explanation:
The volume of a prism is calculated by multiplying the area of the base by the height (length).
So, Volume = Base Area × Height = 15 cm2 × 10 cm = 150 cm3.

a)

150150 cm 3^3

b)

2525 cm 3^3

c)

7575 cm 3^3

d)

100100 cm 3^3

8.

Convert 450450 millimetres to centimetres.

a)

4.54.5 cm

b)

4545 cm

c)

0.450.45 cm

d)

450450 cm

9.

How many milligrams are in 0.250.25 grams?

a)

2.52.5 mg

Explanation: 1 gram = 1000 milligrams, so 0.25 grams = 0.25 × 1000 = 250 milligrams. 2.5 mg is much less than 0.25 grams.

b)

2525 mg

Explanation: 0.25 grams = 250 milligrams, not 25 milligrams. This answer is off by a factor of 10.

c)

250250 mg

Explanation: 1 gram = 1000 milligrams. So, 0.25 grams × 1000 = 250 milligrams. This is the correct answer.

d)

2,5002,500 mg

Explanation: 0.25 grams = 250 milligrams, not 2,500 milligrams. This answer is off by a factor of 10.

10.

If 11 AUD = 0.650.65 USD, how many Australian dollars would you get for 130130 USD?

Answer Explanation:
To find out how many AUD you get for 130 USD, use the exchange rate:
1 AUD = 0.65 USD.
So, 1 USD = 1 / 0.65 = 1.5385 AUD.
Therefore, 130 USD = 130 × 1.5385 = 200 AUD.

a)

200200 AUD

b)

84.5084.50 AUD

c)

130130 AUD

d)

195195 AUD

11.

What is 33 pm in 2424 -hour time?

a)

03:0003:00

b)

13:0013:00

c)

15:0015:00

d)

23:0023:00

12.

A thermometer reads 3737^\circ C. What is this temperature in Kelvin? (Use K=K = ^\circ C +273+ 273 )

Answer Explanation: To convert Celsius to Kelvin, add 273 to the Celsius temperature. So, 37C+273=310 K37^\circ C + 273 = 310\ K . Therefore, the temperature in Kelvin is 310310 K.

a)

310310 K

b)

273273 K

c)

337337 K

d)

300300 K

13.

Convert 2.752.75 hours to minutes.

a)

165165 min

b)

175175 min

c)

150150 min

d)

120120 min

14.

What is the perimeter of a triangle with sides 77 cm, 88 cm, and 99 cm?

a)

2424 cm

Explanation: The perimeter of a triangle is the sum of the lengths of its sides. So, 7+8+9=247+8+9=24 cm.

b)

2525 cm

c)

2626 cm

d)

2727 cm

15.

A rectangle has an area of 6060 m 2^2 and a length of 1212 m. What is its width?

a)

55 m

b)

66 m

c)

77 m

d)

88 m

16.

Convert 55 kilograms to tonnes.

a)

0.0050.005 t

b)

0.050.05 t

c)

0.50.5 t

d)

55 t

17.

If 11 Euro = 1.601.60 AUD, how many Euros would you get for 320320 AUD?

Answer Explanation:
To find out how many Euros you get for 320 AUD, divide the amount in AUD by the exchange rate:
320÷1.60=200320 \div 1.60 = 200

a)

200200 Euros

b)

320320 Euros

c)

512512 Euros

d)

160160 Euros

18.

What is 11:4511:45 pm in 2424 -hour time?

a)

11:4511:45

Explanation: This is 11:45 in the morning, not in the evening. In 24-hour time, 11:45 am is written as 11:45, but 11:45 pm is different.

b)

23:4523:45

Explanation: Correct! In 24-hour time, you add 12 to the hour for any time after 12:00 pm (noon). So, 11:45 pm becomes 23:45.

c)

21:4521:45

Explanation: 21:45 in 24-hour time is 9:45 pm, not 11:45 pm.

d)

00:4500:45

Explanation: 00:45 in 24-hour time is 12:45 am, which is just after midnight, not 11:45 pm.

19.

A rectangular prism has a length of 66 cm, width of 44 cm, and height of 55 cm. What is its volume?

Answer Explanation:
The volume of a rectangular prism is calculated by multiplying its length, width, and height. So, Volume = 6 cm × 4 cm × 5 cm = 120 cm 3^3 .

a)

120120 cm 3^3

b)

6060 cm 3^3

c)

9090 cm 3^3

d)

100100 cm 3^3

20.

Convert 2,5002,500 mL to litres.

a)

0.250.25 L

Explanation: To convert millilitres (mL) to litres (L), divide by 1,000.
2,500 mL ÷ 1,000 = 2.5 L. So, 0.25 L is incorrect.

b)

2.52.5 L

Explanation: To convert millilitres (mL) to litres (L), divide by 1,000.
2,500 mL ÷ 1,000 = 2.5 L. So, 2.5 L is the correct answer.

c)

2525 L

Explanation: 2,500 mL is much less than 25 L.
2,500 mL ÷ 1,000 = 2.5 L. So, 25 L is incorrect.

d)

250250 L

Explanation: 2,500 mL is much less than 250 L.
2,500 mL ÷ 1,000 = 2.5 L. So, 250 L is incorrect.

21.

A triangle has a base of 1414 cm and a height of 99 cm. What is its area?

Answer Explanation:
The area of a triangle is given by the formula:
Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

a)

6363 cm 2^2

b)

126126 cm 2^2

c)

9898 cm 2^2

d)

7272 cm 2^2

22.

Convert 0.80.8 metres to millimetres.

a)

88 mm

b)

8080 mm

c)

800800 mm

d)

8,0008,000 mm

23.

A rectangular garden is 1515 m long and 1010 m wide. What is its perimeter?

a)

2525 m

b)

5050 m

c)

6060 m

d)

4040 m

24.

What is 7:307:30 am in 2424 -hour time?

a)

07:3007:30
Explanation: In 24-hour time, times from 12:00 am to 12:59 pm are written the same as in 12-hour time, just with two digits for the hour. So, 7:30 am is 07:30 in 24-hour format.

b)

17:3017:30
Explanation: 17:30 in 24-hour time is 5:30 pm, not 7:30 am.

c)

19:3019:30
Explanation: 19:30 in 24-hour time is 7:30 pm, not 7:30 am.

d)

23:3023:30
Explanation: 23:30 in 24-hour time is 11:30 pm, not 7:30 am.

25.

If 11 AUD = 1.101.10 NZD, how many New Zealand dollars would you get for 250250 AUD?

a)

225225 NZD

b)

275275 NZD

c)

250250 NZD

d)

260260 NZD

26.

A triangular prism has a triangular base with base 88 cm and height 55 cm, and the prism is 1212 cm long. What is its volume?


Answer Explanation:
The volume of a triangular prism is given by the formula:

Volume=Base Area×Length\text{Volume} = \text{Base Area} \times \text{Length}

The area of the triangular base is:
Base Area=12×base×height=12×8×5=20 cm2\text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 8 \times 5 = 20\ \text{cm}^2

So, the volume is:
20×12=240 cm320 \times 12 = 240\ \text{cm}^3

Therefore, the correct answer is 240 cm3.

a)

240240 cm 3^3

b)

480480 cm 3^3

c)

120120 cm 3^3

d)

320320 cm 3^3

27.

Convert 3,6003,600 seconds to hours.

a)

0.60.6 hours
Explanation: 3,600 seconds divided by 3,600 seconds per hour equals 1 hour, not 0.6 hours.

b)

11 hour
Explanation: There are 3,600 seconds in 1 hour. So, 3,600 seconds ÷ 3,600 seconds/hour = 1 hour.

c)

22 hours
Explanation: 3,600 seconds is equal to 1 hour, not 2 hours. 2 hours would be 7,200 seconds.

d)

3.63.6 hours
Explanation: 3,600 seconds is 1 hour, not 3.6 hours. 3.6 hours would be 12,960 seconds.

28.

A rectangle has a width of 99 m and an area of 7272 m 2^2 . What is its length?

a)

88 m

Explanation: The area of a rectangle is given by Area = length × width. Here, Area = 72 m2 and width = 9 m. So, length = Area / width = 72 / 9 = 8 m.

b)

99 m

c)

1212 m

d)

66 m

29.

What is 7:30pm in 24 hour time

a)

7:30

b)

19:30

c)

20:30

d)

21:30.

30.

1 m = __________ cm

a)

10

b)

100

c)

1000

d)

100 000

31.

1km = ___________ m

a)

10

b)

100

c)

1000

d)

100 000

32.

Express 50 cm : 2.5 km in the simplest form.

a)

1 : 0.05

b)

1 : 5

c)

1 : 50

d)

1 : 5 000

33.

Express 1 cm : 8 m in the form of 1 : n.

a)

1 : 80

b)

1 : 800

c)

1 : 8000

d)

1: 800 000

34.

Express 3 cm : 900 m in the form of 1 : n.

a)

1 : 300

b)

1 : 3000

c)

1 : 30 000

d)

1 : 300 000

35.

The scale of a street map is 1 : 5000.

Find the actual distance, in metres,

for 4 cm on the map.

Answer Explanation:
Scale 1:5000 means 1 cm on the map represents 5000 cm in real life.
So, 4 cm on the map = 4 × 5000 = 20,000 cm.
To convert cm to metres, divide by 100: 20,000 ÷ 100 = 200 metres.
Therefore, the actual distance is 200 metres.

a)

0.2

b)

2

c)

20

d)

200

36.

Identify the type of angle shown....

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right Angle

37.

Identify the type of angle shown....

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right Angle

38.

Identify the type of angle shown....

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right Angle

39.

What is the measurement of a right angle?

a)

70

b)

80

c)

90

d)

180

40.

What is the definition of a right angle?

a)

An angle that is open less than a right angle and has a measure less than 90 degrees.

b)

An angle that forms a square corner and has a measure of 90 degrees.

c)

An angle that is open more than a right angle but less than a straight angle. This angle measures between 90 and 180 degrees.

d)

Lines that never intersect.

41.

What is this a picture of?

a)

Acute angle

b)

Right angle

c)

Perpendicular lines

d)

Obtuse angle

42.

What is the measurement of a straight angle?

a)

100

b)

180

c)

360

d)

240

43.

Which shape measures a 360 degree angle?

a)

Trapzoid

b)

Rhombus

c)

Square

d)

Circle

44.

A 123 degree angle is called a(n)...

a)

straight angle

b)

right angle

c)

obtuse angle

d)

acute angle

45.

Identify the type of angle shown....

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right Angle

46.

Identify all the REFLEX angles...

a)

187o

b)

122o

c)

203o

d)

161o

e)

145o

47.

Determine the probability of getting a square.

a)

612\frac{6}{12}

b)

312\frac{3}{12}

c)

112\frac{1}{12}

d)

512\frac{5}{12}

48.

Determine the probability of getting a blue circle.

a)

612\frac{6}{12}

b)

312\frac{3}{12}

c)

112\frac{1}{12}

d)

512\frac{5}{12}

49.

Determine the probability of getting a red square.

a)

612\frac{6}{12}

b)

312\frac{3}{12}

c)

112\frac{1}{12}

d)

512\frac{5}{12}

50.

Determine the probability of getting a blue square.

a)

412\frac{4}{12}

b)

312\frac{3}{12}

c)

00

d)

512\frac{5}{12}

51.

Determine the probability of getting a green marble.

a)

410\frac{4}{10}

b)

310\frac{3}{10}

c)

210\frac{2}{10}

d)

110\frac{1}{10}

52.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
53.
On a 6-sided die, which is more likely?
a)
Rolling an odd number
b)
Rolling an even number
c)
They are both equally likely.
54.

20% probability

a)

certain

b)

likely

c)

unlikely

d)

uncertain

55.

100% probability

a)

certain

b)

likely

c)

unlikely

d)

uncertain

56.

Which would be best to use for an experiment that will produce one of ten different outcomes with equal probability for each.

a)

standard number cube

b)

spinner with 10 equal parts

c)

coin

d)

bag with 100 pieces of paper

57.

P(B)

a)

3/10 = 0.3 = 30%

b)

1/10 = 0.1 = 10%

c)

1/5 = 0.2 = 20%

d)

2/5 = 0.4 = 40%

58.
The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=
a)
1/8
b)
5/8
c)
7/8
d)
3/7