Free Printable Significant Figures, calculations and conversion factors

1.

Which of the following are exact numbers?

a)

A number you get from counting items.

b)

A number you get from a definition comparing units in the same measuring system

c)

A number you get from a definition comparing units in different measuring system.

d)

A number you get from using a tool to measure something

2.

What is a measured number?

a)

The numbers you obtain when you measure a quantity such as your height. They must have a unit of measurement.

b)

An arbitrary number chosen without any criteria.

c)

A theoretical value that cannot be measured.

d)

A random number without any context.

3.

Which of the following is a measured number?

a)

5.0 m

b)

5.98

c)

3 apples

d)

15 seconds

4.

Which of the following are exact numbers?

a)

1 Kg = 2.2 lb

b)

1 Kg = 1000 g

c)

12 doses

d)

25.5 cm

5.

What is the rule you have to apply when multiplying and dividing measured number with different numbers of significant figures?

a)

The answer must use the highest number of significant figures from the measured numbers.

b)

Round all numbers to the nearest whole number before calculating.

c)

Ignore significant figures when multiplying or dividing.

d)

The answer use the least number of significant figures from the measured numbers.

6.

What is the rule when adding or substracting numbers with different amount of significant figures?

a)

The answer must use the greatest number of decimal places from the numbers involved.

b)

Round all numbers to the nearest whole number before adding or subtracting.

c)

The answer must use the least number of decimal places from the numbers involved.

d)

Ignore significant figures entirely when performing the operation.

7.

Do exact numbers affect the number of significant figures in calculations?

a)

Exact numbers can change the outcome of significant figures.

b)

Exact numbers have no significance in calculations.

c)

No, exact numbers do not affect the number of significant figures in calculations.

d)

Yes, exact numbers increase the number of significant figures.

8.

Aiden is driving a car that travels a distance of 283.67 kilometers in 3.74 hours. Calculate the speed of the car. Express the answer using SF Rules:

Include units in your answer.

(a)

9.

Emma is measuring the lengths of three pieces of wood for a project. The lengths are 89.4 cm, 78.56 cm, and 80.784 cm. Express the total length using SF Rules:

Include units in your answer.

(a)

10.

What is an equality?

a)

An equality is a type of inequality.

b)

An equality is a mathematical operation.

c)

An equality is a statement about a single expression.

d)

Two numbers that use different units to describe the same quantity.

11.

What is a conversion factor?

a)

A conversion factor is a method for converting currencies.

b)

It is a fraction that expresses how many of one unit are equal to another unit.

c)

A conversion factor is a type of mathematical equation.

d)

A conversion factor is a tool used for measuring distances.

12.

What are the possible conversion factors for the next equality, 1 Km = 1000 m?

a)

$\frac{1000\ m}{1\ Km}$

b)

$\frac{1\ Km}{1000\ m}$

c)

1000 Km = 1 m

d)

1000 m = 1 Km

13.

What are the possible conversion factors if I say a fish is 15% fat by mass?

a)

$\frac{15\ Kg\ of\ fat}{1\ Kg\ of\ fish}$

b)

$\frac{15\ Kg\ of\ fat}{100\ Kg\ of\ fish}$

c)

$\frac{15\ l\ of\ fat}{100\ l\ of\ fish}$

d)

$\frac{100\ kg\ of\ fish}{15\ kg\ of\ fat}$

14.

What are the possible conversion factors for 5 ppm of CO2 in the air

a)

$\frac{5\ mg\ CO2}{1\ kg\ of\ air}$

b)

$\frac{1\ kg\ of\ air}{5\ mg\ of\ CO2}$

c)

$5\ kg\ of\ CO2$

d)

$\frac{5\ kg\ of\ CO2}{100\ kg\ of\ CO2}$

Significant Figures, calculations and conversion factors

Total questions: 14

Worksheet time: 9mins

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