Grade 10 - More Exercises
Financial documents, tariffs, accounts.
1. A certain Municipality has the following tariff system for calculating the
charge for the
sale of household water. [ The consumption is determined by rounding up the reading to the
next whole number kl consumed. Thus, 7,5 kl is rounded up to 8 kl ]:
| |
|
| |
| From (kl) |
To (kl) |
Tariff per kiloliter (R) |
From (kl) |
To (kl) |
Tariff per kiloliter (R) |
| 0 kl |
6,00 kl |
free |
6,01 |
29,99 |
R2,00 |
| 30,00 kl |
49,99 kl |
R2,40 |
50,00 |
79,99 |
R3,50 |
| 80,00 kl |
99,99 kl |
R4,50 |
100,00 |
and more |
R7,80 |
|
1.1
A household uses 8 kl of water.
1.1.1
Wht is the tariff for this consumption?
1.1.2
What is the amount payable? Show all your calculations.
1.2
The consumtion for the month is 49,12 kl. Calculate the amount payable. Show all your
calculations.
1.3
An account for R135,65 is rendered for a consumption of 55 kl. Test the correctness of
the account. Show all your calculations.
2.
Jack draws up the following budget :
| |
|
| |
| Income (R) |
|
|
Expenses (R) |
|
| Salary |
7 600 |
|
Rent |
2 800 |
| |
|
|
Food |
1 900 |
| |
|
|
Clothes |
600 |
| |
|
|
Instalment - motor car |
1 300 |
| |
|
|
Maintance motor car |
820 |
| |
|
|
Entertainment |
600 |
| |
|
|
Saving Scheme |
500 |
| Total |
7 600 |
|
Total |
|
|
2.1
Determine Jack's total expenses. Can he afford all his expenses?
2.2
Suppose that he saves nothing. Does his budget balance? What else can he do to
balance his budget?
2.3
He decides to save R300. What can he do to balance his budget?
3.
Peter draws up the following budget :
| |
|
| |
| Income (R) |
|
|
Expenses (R) |
|
| Salary |
17 000 |
|
Instalment on house |
6 800 |
| |
|
|
Instalment on motor car |
2 100 |
| |
|
|
Instalment on 2nd car |
1 000 |
| |
|
|
Maintenance - motor cars |
1 000 |
| |
|
|
Food |
3 200 |
| |
|
|
Clothes |
1 320 |
| |
|
|
Children's school expenses |
1 680 |
| |
|
|
Entertainment |
800 |
| |
|
|
Saving plan |
400 |
| Total |
17 000 |
|
Total |
|
|
3.1
Determine Peter's total expenses. Can he afford all his expenses?
3.2
Suppose that hr saves nothing. Does his budget now balance? What more can he do to
balance his budget?
3.3
He decides to save R300. What can he do to balance his budget?
4.
Study the following account from XYZ Municipality.
4.1
Write down the phone number
of the Municipality.
4.2
Write down the postal address
of the Municipality.
4.3
What is the date on which
the account was issued?
4.4
What is the last date on which the
account can be settled without
incurring interest?
4.5
The amount "Payment received" is shown
shown as a negative amount.
Explain.
4.6
Is the consumption of water and
electricity correct? Show all
your calculations.
4.7
Is the amount payable for water
correct? Show all your
calculations.
4.8
Are there any other mistakes?
Show your calculations.
4.9
Confirm that in this case
property tax is levied at 1,6%.
| XYZ Municipality |
| 13 Wandering Street
P. O. Box 34
Phone: 001 968 0001 |
| Hereweare
Hereweare
Fax: 001 968 0002 |
| 001908
001908 |
|
| Mr. JS Pimpleroy
Account : March 2016 |
| P. O. Box 31
Date : 28/03/2016 |
| Hereweare
Settle before 14 / 04 / 2016 |
| 001908
Account number : 10416 |
|
| Description |
Charge |
Amount |
VAT |
Amount |
| Brought forward |
|
|
|
639,45 |
| Payment received |
|
|
|
-639,45 |
| Water |
35 |
43,75 |
49,88 |
93,63 |
| Electricity |
288 |
478,08 |
66,93 |
545,10 |
| Refuse removal |
|
50,00 |
7,00 |
57,00 |
| Sewage |
35 |
70,00 |
9,80 |
79,80 |
| Annual levy |
|
|
|
410,12 |
| Amount due |
|
572,53 |
133,61 |
1 185,65 |
| |
| Meter readings |
Property information |
| Type |
Previous |
Current |
Stand |
0236 |
| Water |
1206 |
1241 |
Size (ha) |
0,1 |
| Electricity |
80136 |
80324 |
Value |
350 000 |
| |
|
|
Annual levy |
4 921,44 |
| |
| Notes : 1. Water rate : R1,10 /kiloliter - firs 6 kiloliter free |
|
2. Electricity rate : R1,45 / unit |
|
3. Interest at 15% p.a. ia added on late payments and |
|
overdue accounts. |
|
5.
Study the bank statement of a savings account.
5.1
When was the invoice dated and
what is the number of the invoice?
5.2
Why are commas and full stops
used in the amounts and what
does it mean?
5.3
What is the interest rate
for this account?
5.4
Calculate the interest earned.
5.5
What is the meaning of
"Interest capitalized"?
5.6
What is the Balance after the
entry "Interest capitalized"?
5.7
Explain the use of a
negative sign after the amounts
in the Debits column.
5.8
What is the Balance on April, 30?
| Our Newbank |
| P. O. Box 21
Phone: 888 968 0001
May 2, 2005 |
| Runaway
Fax: 888 968 0002
Statement number : 51 |
| 081908 |
|
| Miss S. Marais |
| P. O. Box 18 |
| Runaway |
| 081908 |
|
| Bank statement / Tax invoice |
| SaveNow
Account number : 12300075 |
| |
| Details |
Date |
Debits |
Credits |
Balance |
| Brought forward |
|
|
|
1,986.32 |
| Interest capitalized |
|
|
|
|
| Transfer to account 223001021 |
04:18 |
800.00- |
|
1,187.98 |
| Service fees |
04:30 |
19:20- |
|
1,168.78 |
| Rate as on April 1, 2005 |
| |
| 0.00 − 1,999.00 1%
2,000.00 − 3,999.00 2% |
| 4,000.00 − 5,999.00 2.25%
6,000.00 − 9,999.00 2.5% |
| 10,000.00 − 49,999.00 3%
50,000.00 and more
3,5% |
| |
| Interest is compounded monthly. |
|
| |
| Please check all entries and report any differences |
|
6.
Study the following statement from a current account.
6.1
What is the date and the number
of the invoice?
6.2
Why is the balance brought
forward shown with a
negative sign?
6.3
Why do the amounts shown in the
Debits column have a negative
sign?
6.4
Calculate the Balance after ABC
Services have paid the salary.
What and why is the sign
of the Balance?
6.5
Calculate the Balance on 04:05.
Explain your answer.
6.6
Calculate the Balance on 04:06.
6.7
Calculate the Balance on 04:18
6.8
Calculate the Balance on 04:29
6.9
Calculate the interest on the
overdrawn account.
6.10
Calculate the Balance on 04:30
| Our Newbank |
| P. O. Box 21
Phone: 888 968 0001
May 2, 2005 |
| Runaway
Fax: 888 968 0002
Statement number : 251 |
| 081908 |
|
| Miss S. Marais |
| P. O. Box 18 |
| Runaway |
| 081908 |
|
| Bank statement / Tax invoice |
| VeryEasy
Account number : 223001021 |
| |
| Details |
Date |
Debits |
Credits |
Balance |
| Brought forward |
|
|
|
3,814.21− |
| ABC Services - salary |
04.01 |
|
7,420.00 |
|
| Premium - life insurance |
04.01 |
421.00− |
|
3,184.79 |
| Premium - insurance |
04.01 |
318.75− |
|
2,866.04 |
| SafetyFirst |
04.01 |
216.00− |
|
2,648.04 |
| Our Newbank - instalment on motor car |
04.02 |
1,850.00− |
|
798.04 |
| WorkAsATeam Service Station |
04.05 |
821.00− |
|
|
| EasyBuy |
04.06 |
2,430.25− |
|
|
| Cash withdrawn |
04.10 |
900.00− |
|
3,353.21− |
| WorkAsATeam Service Station |
04.12 |
212.00− |
|
3,565.21− |
| Transfer from Account 12300075 |
04:18 |
|
800.00 |
|
| EasyBuy |
04.26 |
1,660.55− |
|
|
| Service Fees |
04:30 |
99:00− |
|
4,524.76− |
| Interest - overdrawn account |
04:30 |
|
|
|
| Rates as on April 1, 2005 |
| |
| Interest is added to overdrawn accounts at a rate of |
| 13,5% p.a. and is compounded monthly. |
|
| |
| Please check all entries and report any differences. |
|
7.
Study the following till slip.
7.1
How many items were bought?
7.2
How many plastic carry bags were bought?
7.3
What is the volume of the bags?
7.4
How many items that are VAT free
were bought?
7.5
What is the value of the items in 7.4?
7.6
What is the value of the items
on which VAT is paid?
7.7
Which packaging of eggs is the
cheaper - the 18 eggs per pack
or the 6 eggs per pack?
Show all your calcuations.
7.8
What is the price of yellow peaches per kilogram?
| Cheapest Shop |
| Beet Waters |
| Phone : 000 010 0203 |
| Cashier: Melissa Brown |
| |
| APPLES RED |
17.99 |
# |
| APPLE VINEGAR 375 ml |
12.79 |
|
| RAISINS CHOICE GRADE |
18.90 |
|
| SWEETCORN WHOLE KERNEL |
|
|
| 2 @ 10.99 |
21.98 |
| SWEETCORN CREAM STYLE |
|
|
| 2 @ 11.99 |
23.98 |
|
| FRUIT JUICE BERRIES |
14.99 |
|
| TUNA IN BRINE |
|
|
| 2 @ 15.99 |
31.98 |
|
| PEACHES YELLOW 0.96 KG |
34.56 |
# |
| CARROTS LOOSE 0.75 KG |
11.24 |
# |
| POTATOES SMALL 0.6 KG |
6.00 |
# |
| EGGS LARGE 18 PACK |
29.99 |
# |
| EGGS LARGE 6 PACK |
9.99 |
# |
| NESTLE KIT KAT |
19.99 |
|
| CARRY BAGS PLASTIC 24 l |
|
|
| 4 @ 0.46 |
1.84 |
|
| BALANCE DUE VAT INCLUDED |
256.22 |
|
| NUMBER OF ITEMS |
20 |
|
| - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - |
- - - |
- |
| VAT INCLUDED |
17.98 |
|
| # VAT FREE, ZERO RATED |
|
|
|
|
8.
The accompanying graph shows the monthly
cost of calls made from a cell phone.
8.1
Why does the graph start in
the origin, the point (0 ; 0)?
8.2
Is cost directly proportional to time?
Explain your answer.
8.3
Estimate the following values :
8.3.1
cost if time = 100 minutes.
8.3.2
time if cost = R100
8.3.3
cost if time = 150 minutes.
8.3.4
time if cost = R180
8.4
Calculate the cost per minute if it is given that the cost = R200 if time = 250 minutes.
8.5
Use the result in 8.4 to check your answers in 8.3.
9.
A cellphone company has a contract where the cost is R0,50 per minute.
9.1
Complete the following table:
| Time (minutes) |
0 |
10 |
50 |
200 |
250 |
300 |
400 |
| Cost (R) |
|
|
|
|
|
|
|
9.2
Is cost directly proportional to time? Give a reason. What shape will the graph that
represents the data have?
9.3
Draw a graph to represent the data.
9.4
Use the letters A, B, C and D to mark the points where you will make the following
readings. Write down the value that you have read.
9.4.1
cost if time = 100 minutes [ A ]
9.4.2
time if cost = R100 [ B ]
9.4.3
cost if time = 150 minutes [ C ]
9.4.4
time if cost = R125 [ D ]
9.5
The company now increases the cost to R0,75 per minute. How must you change your graph to show the new cost? Now draw on the same system of axes the graph that represents the cost at R0,75.
10.
The accompanying graph represents the
cost of a cell phone contract.
10.1
Where does the graph start?
Give a reason for your answer.
10.2
Estimate the following values :
10.2.1
cost if time = 100 minutes.
10.2.2
time if cost = R100
10.2.3
cost if time = 150 minutes.
10.2.4
time if cost = R178
10.3
Calculate the cost per minute if it is given
that the cost = R150 if time = 250 minutes.
10.4
Use the result in 10.3 to check your answers in 10.2.
11.
The accompanying graph represents the cost
of a cell phone contract.
11.1
Where does the graph start?
Give a reason for your answer.
11.2
Explain the form of the graph from A to B.
11.3
Explain the form of the graph from B to C.
11.4
Estimate the following values :
11.4.1
cost if time = 80 minutes.
11.4.2
time if cost = R80
11.4.3
cost if time = 250 minutes.
11.4.4
time if cost = R175
11.5
Calculate the cost per minute if it is given that the coste = R200 of time = 400 minutes.
11.6
Use the result in 11.5 to check your answers in 11.4.