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CanadaON
Grade 9

10.04 Appreciation and depreciation

Worksheet
Percentages without a calculator
1

Find the following:

a
10\% of \$41.90
b
10\% of \$219.70
c
10\% of \$874.48
d
5\% of \$30.60
e
5\% of \$410
f
5\% of \$148.60
g
1\% of \$37.90
h
1\% of \$388.80
i
1\% of \$14.49
2

A salesperson earns a 12\% commission on their total sales each week. In one week, their sales amounted to \$830.

a

Find 10\% of their total sales.

b

Find 1\% of their total sales.

c

Find 2\% of their total sales.

d

Hence, find the total commission they made that week.

3

A telephone marketer earns a 16\% commission on their sales each week. In one week, their sales amounted to \$560.

a

Find 10\% of their total sales.

b

Find 1\% of their total sales.

c

Find 6\% of their total sales.

d

Hence, find the total commission they made this week.

4

Answer the following questions in order to find 30\% of 5 hours without a calculator.

a

How many minutes are there in 5 hours?

b

What is 10\% of 300 minutes?

c

Hence, find 30\% of 300 minutes.

5

Answer the following questions in order to find 55\% of 10 hours without a calculator.

a

How many minutes are there in 10 hours?

b

What is 50\% of 600 minutes?

c

What is 5\% of 600 minutes?

d

Hence, find 55\% of 600 minutes.

Inflation and appreciation
6

The price of pens in 1994 was \$4. If the value inflated at an average rate of 3.6\% per year, what would the price of pens have been in 2005?

7

A basket of goods was valued at \$43.70 in January 2011. The inflation rate for the year was 8\%. What is the expected cost of the basket of goods in January 2012?

8

A sports club membership currently costs \$332. Calculate the cost in 6 years time if the inflation rate is on average 2.6\% per annum.

9

A house was valued 5 years ago to be worth \$632\,000. Its value appreciated at 6.4\% p.a. What is its appreciated value, correct to the nearest dollar?

10

Sean deposits \$4000 into a new savings account. The amount increased by 3.3\% each year for 4 years. Find the new value of the deposit after appreciation.

1
2
3
4
\text{Year}
3250
3500
3750
4000
4250
4500
4750
\text{Value}
11

What will be the value of \$5 in 15 years time if the inflation rate is:

a

2.1\%

b

4.1\%

12

A hat costs \$35.50. Find its price 9 years ago if the average inflation rate was 3.7\% per annum.

13

A product is worth \$20 today. Find the value of the product 7 years ago if the inflation rate was:

a

2.6\% per annum.

b

4.1\% per annum.

14

The rate of inflation on Tom's salary was a constant 1.9\% per annum over the past 5 years. Tom currently earns \$59\,000 per annum.

Find what Tom's salary was 5 years ago, to the nearest dollar.

1
2
3
4
5
6
7
\text{Year}
51000
52000
53000
54000
55000
56000
57000
58000
59000
\text{Salary}
Depreciation
15

The value of a car depreciated by 8\% this year. The original value of the car was \$9000.

a

By how much did the car depreciate?

b

Use the graph provided to estimate the current value of the car.

c

Calculated the current value of the car.

1
\text{Year}
7250
7500
7750
8000
8250
8500
8750
9000
9250
9500
9750
\text{Car Value}
16

Frank purchased a \$3900 television that depreciates at the rate of 18\% per annum.

a

What will be the depreciation over the first year?

b

Use the graph to estimate the value of the television be at the end of the first year.

c

Calculate the value of the television at the end of the first year.

d

Use the graph to estimate the value of the television be at after 5 years.

e

Calculate the value of the television after 5 years.

1
2
3
4
5
6
7
8
9
\text{Year}
500
1000
1500
2000
2500
3000
3500
\text{Value}
17

A stove currently selling for \$500 depreciates at 17\% per annum.

a

What percentage of the original value of the stove will remain after 1 year?

b

How much of the original value will remain after one year?

c

What will the value of the stove be after 4 years?

1
2
3
4
5
6
7
8
9
\text{Year}
100
200
300
400
500
\text{Value}
18

The housing market is in a downward trend and the value of houses are depreciating at a rate of 0.9\% per annum. If this trend continues, what will a house currently valued at \$750\,000 be valued at in 2 years time?

1
2
3
4
\text{Year}
710000
720000
730000
740000
750000
760000
770000
780000
790000
\text{Value}
19

Fred bought three video games in 2015 for \$19.95 each and sold them in 2018. The video games depreciated in value at a rate of 20\% per annum.

a

Calculate the value of each video game in 2018.

b

Calculate the total loss Fred made in 2018 after selling all three games for this value.

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Outcomes

9.F1.2

Identify financial situations that involve appreciation and depreciation, and use associated graphs to answer related questions.

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