Grade 11 - More Exercises.
Financial Documents, tariffs, accounts, bills, rates.
1. A certain Municipality has the following rates forthe 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 14% is added :
| |
|
| |
| From (kl) |
To (kl) |
Tariff per kiloliter (R) |
From (kl) |
To (kl) |
Tariff per kiloliter (R) |
| 0 kl |
6,00 kl |
free |
6 kl |
19 kl |
R2,00 |
| 20 kl |
39 kl |
R2,40 |
40 kl |
59 kl |
R3,50 |
| 60 kl |
79 kl |
R4,50 |
80 |
and more |
R7,00 |
|
1.1
A household consumes 18 kl of water.
1.1.1
What is the tariff for this consumption?
1.1.2
Calculate the amount payable. Show all your calculations.
1.2
Another consumption is 38,12 kl. Calculate the amount due. Show all your calculations.
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.
2.
John compiles the following budget :
| |
|
| |
| Income (R) |
|
|
Expenses (R) |
|
| Salary |
16 600 |
|
House-rent |
5 800 |
| |
|
|
Food |
5 250 |
| |
|
|
Clothes |
1 600 |
| |
|
|
Motor instalment |
1 760 |
| |
|
|
Motor maintenance |
940 |
| |
|
|
Entertainment |
1 600 |
| |
|
|
Save |
600 |
| Total |
16 600 |
|
Total |
|
|
2.1
Determine John's expenses. Can he afford all his expenses?
2.2
Suppose that he saves nothing. Does his budget balance? What can he still do to balance
his budget?
2.3
He decides to save R300. What can he do to balance his budget now?
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 :
| |
| Consumption (kl) |
0 |
10 |
20 |
21 |
30 |
40 |
| Cost (R) |
|
|
|
|
|
|
|
3.2
Draw a graph to represent the data.
3.3
What is the minimum cost for consumption in the interval 21 kl to 40 kl?
3.4
What is the maximum cost for consumption in the interval 0 kl to 20 kl?
3.5
Explain the form of your graph of a consumption from 0 kl to a consumtion of 20 kl.
3.6
Estimate the coordinates of the point when the consumption is 12 kl. Mark the point D.
3.7
Estimate the coordinates of the point when the consumption is 27 kl. Mark the point E.
3.8
Now calculate the coordinates of point D.
4.
The accompanying graph shows the cost
levied by a certain Municipality for the
consumption of house-hold water.
4.1
Estimate the cost if the consumption is 12 kl
(point D) and estimate the consumption if the
cost is R76 (point E)
4.2
What is the maximum cost for a consumption
of 30 kl?
4.3
What is the minimum cost for a consumption
of 10 kl ?
4.4
The coordinates of point B is (20 ; 20) and
the coordinates of point C is (40 ; 100). Use this information to calculate the cost per
kiloliter for the interval 0 kl to 20 kl and from 20 kl to 40 kl.
4.5
Use your answers in 4.4 to test the accuracy of your estimates in 4.1.
5.
The accompnaying graph shows the cost of
two contracts of a cellphone firm.
5.1
Where and why does the graph of
contract B begin?
5.2
Where and why does the graph of
contract A begin?
5.3
Which of the two comtracts have the
greater cost per minute? Explain.
5.4
Estimate the cost for both contrackts if the
time = 80 minutes.
5.5
Estimate the time if the cost of contract B is R121.
5.6
Where do the two graphs intersect? What does this imply?
5.7
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.
5.8
Ust the answers in 5.7 to test the accuracy of your estimations in 5.4 and 5.5.
Show all the calculations.
5.9
When is the cost of contract B greater than that of contract A?
5.10
Which contrak, A or B, will you recommend to a person that uses less than 150 minutes per
month? Supply reasons.
6.
The accompanying graph shows the cost of
two contracts, P and Q, of
cell phone provider.
6.1
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?
6.2
Describe and explain the part BC.
6.3
Does the graph of contract Q represent an
increasing relation? Explain.
6.4
Which contract, P or Q, is the cheaper for
usage of leaa than 100 minutes per month? Explain.
6.5
Which contract, P or Q, is the cheaper for usage of more than 210 minutes per
month? Explain.
6.6
Which contract, P or Q, has the lowest tariff per minute? Explain.
7.
Study the following account of XYZ Municipality.
7.1
Write down the Municipality's
phone number.
7.2
Write down the Municipality's
postal address.
7.3
What is the date of the account?
7.4
Who is the addressee?
7.5
Why does the amount in the
column "Payment received"
have a negative sign?
7.6
How much water has been used?
7.7
Is the amount for water usage
correct? Show your
calculations.
7.8
Also calculate the amount for
using electricity. Show
all your calculations.
7.9
Calculate the amount in the last
row marked with a ###.
7.10
Are there any other mistakes on
the account? Show all your
calculations to rectify it.
7.11
At what parcentage is the
annual levy added?
| XYZ Municipality |
| 13 Meandering Street
P.O. Box 34
Phone : 001 968 0001 |
| Waterloo
Waterloo
Fax: 001 968 0002 |
| 061208
061208 |
|
| Mr. J Williams
Account for April 2015 |
| P.O. Box 11
Date : 30/04/2015 |
| Waterloo
Due date 14 / 05 / 2015 |
| 061208
Account number : 16169 |
|
| Description |
Charge |
Amount |
VAT |
Amount |
| Brought forward |
|
|
|
729,75 |
| Payment received |
|
|
|
-729,75 |
| Water |
## |
77,30 |
## |
165,42 |
| Elektricity |
## |
## |
144,54 |
1 176,94 |
| Refuse removal |
|
50,00 |
7,00 |
57,00 |
| Sewerage charge |
53 |
63,60 |
8,90 |
72,50 |
| Annual levy |
|
|
|
373,46 |
| Totals |
|
### |
171,26 |
1 845,32 |
| |
| Meter readings |
Property Information |
| Type |
Previous |
Current |
Stand |
0236 |
| Water |
3568 |
3621 |
Size (ha) |
0,125 |
| Elektricity |
10524 |
11236 |
Value |
925 000 |
| |
|
|
Annual levy |
3 931,20 |
| |
| Notes : 1. Water rates : 0 kl to 6 kl - free |
|
7 kl to 29 kl - R1,10 / kl |
|
30 kl to 49 kl - R1,70 / kl |
|
50 kl and more - R4,50 / kl |
|
2. Elektricity rates : R1,45 / unit |
|
3. Arrears : Interest is added at 20% p.a. on |
|
overdue accounts and late payments. |
|
|
8.
Study the bank statement of
a current account.
8.1
Write down the date and the
number of the statement.
8.2
Why is the "Brought forward"
balance shown with a
negative sign?
8.3
Why are the amounts shown in
the Debit column shown as
negative numbers?
8.4
Calculate the balance after
AtoZ Services paid the salary.
What and why is the sign
of the Balance?
8.5
Calculate the Balance on 04:06.
Explain your answer.
8.6
Why is the amount shown in the
Credit column positive?.
8.7
Calculate the Balance on 04:18
8.8
Calculate the Balance on 04:30 after
the Service fees have been added.
8.9
Calculate the interest on the
overdrawn account.
8.10
Calculate the Closing Balance
on 04:30
| The New Bank |
| P.O. Box 201
Phone: 808 908 1001
2 May 2008 |
| Stayhere
Fax: 808 908 1002
Invoice number : 121 |
| 081908 |
|
| Mr. S. Stephens |
| P.O. Box 108 |
| Stayhere |
| 081908 |
|
| Statement / Tax Invoice |
| VeryEasy
Account number : 34501261 |
| |
| Details |
Date |
Debits |
Credits |
Balance |
| Brought forward |
|
|
|
4,802.91− |
| AtoZ Services - salary |
04.01 |
|
11,200.00 |
## |
| Instament - life insurance |
04.01 |
641.00− |
|
## |
| Instalment - insurance |
04.01 |
387.75− |
|
5,368.34 |
| SafetyFirst |
04.01 |
326.00− |
|
5,042.34 |
| The New Bank - instalment motor car |
04.02 |
2,080.00− |
|
2,962.34 |
| TakeCare Garage |
04.05 |
1,421.00− |
|
1,541.34 |
| BuyHere |
04.06 |
3,380.54− |
|
## |
| Cash withdrawn |
04.10 |
1,200.00− |
|
3,039.20− |
| TakeCare Garage |
04.12 |
927.00− |
|
3,966.20− |
| Transfer from Account 12300075 |
04:18 |
|
1,500.00 |
## |
| BuyHere |
04.26 |
1,804.12− |
|
4,270.32− |
| Service Fee |
04:30 |
99:00− |
|
## |
| Interest - overdrawn account |
04:30 |
## |
|
## |
| Rates due as on April 1, 2005 |
| |
| Interest is added to overdrawn accounts at the rate of |
| 13,5% p.a. and is compounded monthly. |
|
| |
| Please check alle transactions and report any differences. |
|
| The following information for question 9 : |
| 1. Tax Rates for individuals : |
| Taxable Income |
Rates of Tax |
| 0.00 —
122 000 |
18% of each Rand |
| 122 001 —
195 000 |
21 960 + 25% of the amount over 122 000 |
| 195 001 —
270 000 |
40 210 + 30% of the amount over 195 000 |
| 270 001 —
380 000 |
62 710 + 35% of the amount more than 270 000 |
| 2. Each tax payer receives a deductable primary rebate of R8 280.00 per year. |
| 3. Overtime-rates: overtime 1.5 is calculated at the rate 1,5 times normal rate. |
|
overtime 2 is calculated at the rate of twice the normal rate. |
|
| ABC Works |
PAY SLIP |
| P.O. Box 198 Phone: 111 010 1000 |
| Goaway
Fax: 111 010 1001
Date: 2009/08/30 |
| 80021 |
|
| Name : Jack Hammer |
Employee code : W115 |
| Account number : 00501623 |
Mechanic |
| |
Tariff: R85,00 per hour |
| Description |
Wages |
Deductions |
| Salary |
13,200.00 |
Tax |
|
| Overtime 1,5 - 10 hours |
|
UIF |
|
| Overtime 2 |
765.00 |
Pension |
198.00 |
| |
|
Welfare |
85.25 |
| |
|
Trade union |
165.00 |
| |
|
Savings plan |
500.00 |
| |
|
BuyHere |
1,516.88 |
| Total |
|
Total |
|
| Monthly Income |
|
|
| Gross |
|
|
|
| Deductions |
|
|
|
| Net |
|
|
|
|
9.
Study the accompanying pay-slip and
then answer the questions that follow :
9.1
Calculate Jack's earnings
for Overtiem 1.5
9.2
Calculate the number of hours
that Jack worked on Overtime 2.
9.3
Calculate Jack's total wages
for the month.
9.4
Assume that Jack has this income
every month. Calculate the Income
Tax that he has to pay for the
year and the monthly deduction.
9.5
Every month Jack has to pay 1%
of his Salary to the UIF.
Calculate Jack's contribution.
9.6
What percentage of his Salary
is deducted for Pension?
9.7
Calculate the total deductions.
9.8
Calculate Jack's net wages.