A certain Municipality has the following rates for the consumption of household water.
[ The consumption is determined by rounding up the reading to the next whole number of kl used.
Thus, 7,5 kl is rounded up to 8 kl].
VAT at 15% is added :
[ The consumption is determined by rounding up the reading to the next whole number of kl used.
Thus, 7,5 kl is rounded up to 8 kl].
VAT at 15% is added :
| From, kℓ | To, kℓ | Tariff per kℓ (R) | From, kℓ | To, kℓ | Tariff per kℓ (R) | |
| 0 | 6 | free | 40 | 59 | 3,50 | |
| 6 | 19 | 2,00 | 60 | 79 | 4,50 | |
| 20 | 39 | 2,40 | 80 | and more. | 7,00 |
1.1 A household consumes 18 kℓ of water.
1.1.1 What is the tariff for this consumption? A 1.1.1
1.1.2 Calculate the amount payable. Show all
your calculations. A 1.1.2
1.3 An account for R235,65 is rendered for
a consumption of 75 kℓ. Test the
correctness of the account.
Show all your calculations. A 1.3
1.1.1 What is the tariff for this consumption? A 1.1.1
1.1.2 Calculate the amount payable. Show all
your calculations. A 1.1.2
1.3 An account for R235,65 is rendered for
a consumption of 75 kℓ. Test the
correctness of the account.
Show all your calculations. A 1.3
John compiles the following budget :
| Income | Rand | Expenses | Rand | |
| Salary | 16 000 | House-rent | 5 800 | |
| Food | 5 250 | |||
| Clothes | 1 600 | |||
| Motor instalment | 1 760 | |||
| Motor maintenance | 940 | |||
| Entertainment | 1 600 | |||
| Save | 600 | |||
| Total | Total |
2.1 Determine John's expenses. Can he afford all his expenses? A 2.1
2.2 Suppose that he saves nothing. Does his budget balance? What can he still do to
balance his budget? A 2.2
2.3 He decides to save R300. What can he do to balance his budget now? A 2.3
2.2 Suppose that he saves nothing. Does his budget balance? What can he still do to
balance his budget? A 2.2
2.3 He decides to save R300. What can he do to balance his budget now? A 2.3
A certain Municipality has the following rates for house-hold water consumption :
from 0 to 20 kℓ - R1/kℓ and from 21 to 40 kℓ - R2 / kℓ
3.1 Complete the following table :
from 0 to 20 kℓ - R1/kℓ and from 21 to 40 kℓ - R2 / kℓ
3.1 Complete the following table :
| Consumption (kℓ) | 0 | 10 | 20 | 21 | 30 | 40 |
| Cost (R) |
3.2 Draw a graph to represent the data. A 3.2
3.3 What is the minimum cost for consumption in the interval 21 kℓ to 40 kℓ? A 3.3
3.4 What is the maximum cost for consumption in the interval 0 kℓ to 20 kℓ? A 3.4
3.5 Explain the form of your graph of a consumption from 0 kℓ to a consumtion of 20 kℓ. A 3.5
3.6 Estimate the coordinates of the point when the consumption is 12 kℓ. Mark the point D. A 3.6
3.7 Estimate the coordinates of the point when the consumption is 27 kℓ. Mark the point E. A 3.7
3.8 Now calculate the coordinates of point D. A 3.8
3.3 What is the minimum cost for consumption in the interval 21 kℓ to 40 kℓ? A 3.3
3.4 What is the maximum cost for consumption in the interval 0 kℓ to 20 kℓ? A 3.4
3.5 Explain the form of your graph of a consumption from 0 kℓ to a consumtion of 20 kℓ. A 3.5
3.6 Estimate the coordinates of the point when the consumption is 12 kℓ. Mark the point D. A 3.6
3.7 Estimate the coordinates of the point when the consumption is 27 kℓ. Mark the point E. A 3.7
3.8 Now calculate the coordinates of point D. A 3.8
The accompnaying graph shows the cost of two
contracts of a cellphone firm.
4.1 Where and why does the graph of
contract B begin? A 4.1
4.2 Where and why does the graph of
contract A begin? A 4.2
4.3 Which of the two contracts have the
greater cost per minute? Explain. A 4.3
4.4 Estimate the cost for both contracts
if the time = 80 minutes. A 4.4
4.5 Estimate the time if the cost of
contract B is R121. A 4.5
contracts of a cellphone firm.
4.1 Where and why does the graph of
contract B begin? A 4.1
4.2 Where and why does the graph of
contract A begin? A 4.2
4.3 Which of the two contracts have the
greater cost per minute? Explain. A 4.3
4.4 Estimate the cost for both contracts
if the time = 80 minutes. A 4.4
4.5 Estimate the time if the cost of
contract B is R121. A 4.5
4.6 Where do the two graphs intersect? What does this imply? A 4.6
4.7 Calculate the cost per minute of both contracts if the cost of contract A is R250 and that
of contract B is R275 if the time = 250 minute. A 4.7
4.8 Use the answers in 4.7 to test the accuracy of your estimations in 4.4 and 4.5. Show
all the calculations. A 4.8
4.9 When is the cost of contract B greater than that of contract A? A 4.9
4.10 Which contract, A or B, will you recommend to a person that uses less than
150 minutes per month? Supply reasons. A 4.10
4.7 Calculate the cost per minute of both contracts if the cost of contract A is R250 and that
of contract B is R275 if the time = 250 minute. A 4.7
4.8 Use the answers in 4.7 to test the accuracy of your estimations in 4.4 and 4.5. Show
all the calculations. A 4.8
4.9 When is the cost of contract B greater than that of contract A? A 4.9
4.10 Which contract, A or B, will you recommend to a person that uses less than
150 minutes per month? Supply reasons. A 4.10
The accompanying graph shows the cost of
two contracts, P and Q, of a cell phone provider.
5.1 The graph of contract P is given by the
line ABC. Why does the first part, AB,
not begin in the origin? What does
this mean? A 5.1
5.2 Describe and explain the part BC. A 5.2
5.3 Does the graph of contract Q
represent an increasing relation?
Explain. A 5.3
5.4 Which contract, P or Q, is the cheaper
for usage of less than 100 minutes
per month? Explain. A 5.4
5.5 Which contract, P or Q, is the cheaper
for usage of more than 210 minutes
per month? Explain. A 5.5
5.6 Which contract, P or Q, has the
lowest tariff per minute? Explain. A 5.6
two contracts, P and Q, of a cell phone provider.
5.1 The graph of contract P is given by the
line ABC. Why does the first part, AB,
not begin in the origin? What does
this mean? A 5.1
5.2 Describe and explain the part BC. A 5.2
5.3 Does the graph of contract Q
represent an increasing relation?
Explain. A 5.3
5.4 Which contract, P or Q, is the cheaper
for usage of less than 100 minutes
per month? Explain. A 5.4
5.5 Which contract, P or Q, is the cheaper
for usage of more than 210 minutes
per month? Explain. A 5.5
5.6 Which contract, P or Q, has the
lowest tariff per minute? Explain. A 5.6
Study the following account of XYZ Municipality.
provider.
6.1 Write down the Municipality's phone
number. A 6.1
6.2 Write down the Municipality's postal
postal address. A 6.2
6.3 What is the date of the account? A 6.3
6.4 Who is the addressee? A 6.4
6.5 Why does the amount in the
column "Payment received" have
a negative sign? A 6.5
6.6 How much water has been used? A 6.6
6.7 Is the amount for water usage
correct? Show your calculations. A 6.7
6.8 Also calculate the amount for using
electricity. Show all
your calculations. A 6.8
6.9 Calculate the amount in the last
row marked with ###. A 6.9
6.10 Are there any other mistakes on
the account? Show all your
calculations to rectify it. A 6.10
6.11 At what parcentage is the
annual levy added? A 6.11
provider.
6.1 Write down the Municipality's phone
number. A 6.1
6.2 Write down the Municipality's postal
postal address. A 6.2
6.3 What is the date of the account? A 6.3
6.4 Who is the addressee? A 6.4
6.5 Why does the amount in the
column "Payment received" have
a negative sign? A 6.5
6.6 How much water has been used? A 6.6
6.7 Is the amount for water usage
correct? Show your calculations. A 6.7
6.8 Also calculate the amount for using
electricity. Show all
your calculations. A 6.8
6.9 Calculate the amount in the last
row marked with ###. A 6.9
6.10 Are there any other mistakes on
the account? Show all your
calculations to rectify it. A 6.10
6.11 At what parcentage is the
annual levy added? A 6.11
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Study the bank statement of a current account.
7.1 Write down the date and the number
of the statement. A 7.1
7.2 Why is the "Brought forward" balance
shown with a negative sign? A 7.2
7.3 Why are the amounts shown in the
Debit column shown as
negative numbers? A 7.3
7.4 Calculate the balance after
AtoZ Services paid the salary. What and
why is the sign of the Balance? A 7.4
7.5 Calculate the Balance on 04.06.
Explain your answer. A 7.5
7.6 Why is the amount shown in the
Credit column positive? A 7.6
7.7 Calculate the Balance on 04.18. A 7.7
7.8 Calculate the Balance on 04.30 after
the Service fees have been added. A 7.8
7.9 Calculate the interest on the
overdrawn account. A 7.9
7.10 Calculate the Closing Balance
on 04.30 A 7.10
7.1 Write down the date and the number
of the statement. A 7.1
7.2 Why is the "Brought forward" balance
shown with a negative sign? A 7.2
7.3 Why are the amounts shown in the
Debit column shown as
negative numbers? A 7.3
7.4 Calculate the balance after
AtoZ Services paid the salary. What and
why is the sign of the Balance? A 7.4
7.5 Calculate the Balance on 04.06.
Explain your answer. A 7.5
7.6 Why is the amount shown in the
Credit column positive? A 7.6
7.7 Calculate the Balance on 04.18. A 7.7
7.8 Calculate the Balance on 04.30 after
the Service fees have been added. A 7.8
7.9 Calculate the interest on the
overdrawn account. A 7.9
7.10 Calculate the Closing Balance
on 04.30 A 7.10
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Study the accompanying pay-slip and
then answer the questions that follow :
8.1 Calculate Jack's earnings for
Overtime 1.5 A 8.1
8.2 Calculate the number of hours that
Jack worked on Overtime 2. A 8.2
8.3 Calculate Jack's total wages for
the month. A 8.3
8.4 Assume that Jack has this income
every month. Calculate the
Income Tax that he has to pay for
the year and the monthly deduction. A 8.4
8.5 Every month Jack has to pay 1%
of his Salary to the UIF.
Calculate Jack's contribution. A 8.5
8.6 What percentage of his Salary is
deducted for Pension? A 8.6
8.7 Calculate the total deductions. A 8.7
8.8 Calculate Jack's net wages. A 8.8
then answer the questions that follow :
8.1 Calculate Jack's earnings for
Overtime 1.5 A 8.1
8.2 Calculate the number of hours that
Jack worked on Overtime 2. A 8.2
8.3 Calculate Jack's total wages for
the month. A 8.3
8.4 Assume that Jack has this income
every month. Calculate the
Income Tax that he has to pay for
the year and the monthly deduction. A 8.4
8.5 Every month Jack has to pay 1%
of his Salary to the UIF.
Calculate Jack's contribution. A 8.5
8.6 What percentage of his Salary is
deducted for Pension? A 8.6
8.7 Calculate the total deductions. A 8.7
8.8 Calculate Jack's net wages. A 8.8
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Study the cah register slip alongside :
9.1 How many items were bought? A 9.1
9.2 How many plastic carrier bags
were bought? A 9.2
9.3 What is the volume of the bags? A 9.3
9.4 How many items on which VAT is
not levied, were bought? A 9.4
9.5 What is the value of the items
in 9.4? A 9.5
9.6 What is the value of the items
on which VAT is levied? A 9.6
9.7 Which packaging of eggs is
cheaper - the 18 eggs per pack
or the 6 eggs per pack. Show all
your calculations. A 9.7
9.8 What is the cost of the yellow
peaches per kilogram? A 9.8
9.9 What is the price ot tomatoes per
kilogram? A 9.9
9.1 How many items were bought? A 9.1
9.2 How many plastic carrier bags
were bought? A 9.2
9.3 What is the volume of the bags? A 9.3
9.4 How many items on which VAT is
not levied, were bought? A 9.4
9.5 What is the value of the items
in 9.4? A 9.5
9.6 What is the value of the items
on which VAT is levied? A 9.6
9.7 Which packaging of eggs is
cheaper - the 18 eggs per pack
or the 6 eggs per pack. Show all
your calculations. A 9.7
9.8 What is the cost of the yellow
peaches per kilogram? A 9.8
9.9 What is the price ot tomatoes per
kilogram? A 9.9
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