Grade 10 Assignment Term 2 Math. Lit. Time: 1h Marks: 50

[Pages:4]Grade 10 Assignment Term 2 Math. Lit. Time: 1h

Marks: 50

Answer all questions on this question paper.

1 Teboho is a grade 10 learner and the only child of Mr. And Mrs. Khumalo. His parents have never drawn up a budget for the family, although they keep all the evidence of income and expenditure every month. Shown below are the income and expenses for a certain month. Use the information to answer the questions that follow.

CellX

Airtime R250

Salary after deductions Mr JS Khumalo R6 500

Horizon High Overtime

School fees R350

850

Houses for All

XYZ Service Station Rent R3 000

Municipality

Water

R55

Fuel

ABC Furnishers Oil

Electricity R469 Instalment R475

R720 R45

Refuse R45

Jim's Supermarket

Payslip

Groceries

R967

Mrs V Khumalo Casual work

Cleaning material R56 Fruit and vegetables R234

Zet Clothes

Purchases R500

R2 345

Best Auto

Car instalment R1 500

Chick King

3 Burgers & chips R120

Teboho

Pocket money R200

Pizza Palace

1 Large Regina R95 1 Medium BBQ R65 1 Large Ribs R95

1.1 Complete the following monthly budget for the Khumalo family. (One

income and two expenditure items are already filled in)

INCOME

EXPENDITURE

Description

Amount

Description

Amount

Salary Mr Khumalo

6 500 Fixed Expenses:

School fees

350

Variable Expenses:

250

Airtime

TOTAL

TOTAL

(13)

1.2 How much money does the Khumalo family have left for unexpected

expenses?

(2)

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1.3 Mr Khumalo would like to save one tenth of R6 500 every month. Calculate the amount he would like to save.

(2)

1.4 What advice can you give the Khumalo family in order to decrease their expenses?

(2) [19]

2 The diagram shows the top view of the Khumalo family's stand, which is in the form of

a trapezium. There is a vegetable garden (C) in the shape of a right-angled triangle

on the Eastern side of the stand. In the vegetable garden is a circular water tank (D)

with a diameter of 1,8 m.

Key:

A: House

B: Garage

20m

C: Vegetable garden

D: Circular water tank

12m

N

13m 8m

A

15m

B

6m

15m

C

D

30m

List of formulae that can be used: (Use = 3,14 and round answers off to two decimals

where necessary)

Area of rectangle = length x breadth

Perimeter of rectangle = 2(length + breadth)

Area of circle = x (radius)2

Circumference of circle = 2 x x radius

Area of triangle = x base x height

Area trapezium = x height x (sum of parallel sides)

2.1 Calculate the floor area of the house (A).

(3) 2.2 Calculate the floor area of the garage (B).

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(3)

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2.3 How many square metres of the vegetable garden are available for planting vegetables if the space taken up by the water tank is taken into consideration?

Pole 1 Pole 2 Pole 3

(8) 2.4 Calculate the perimeter of the stand.

(3) 2.5 Mr Khumalo would like to replace the 30 metre fence on the Southern

border of the stand. He and Teboho will do the work themselves. They decide to use vertical concrete poles with horizontal concrete slabs as shown in the diagram.

Slab

Mr Khumalo calculated that he will need 15 poles to cover the 30 m stretch. Poles cost R49,00 each and slabs cost R39,00 each. Calculate:

(a) The total cost of the poles. (2)

(b) The total cost of the slabs.

(3) [22]

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3 Mr Khumalo wants to take out a loan of R5 000 to pay for the fence and other renovations. A "loan shark" supplied him with the following brochure:

Loan R3 000 R5 000 R8 000 R10 000

Monthly installment

12 months 24 months 36 months

R355

R219

R175

R584

R356

R283

R927

R562

R446

R1 156

R700

R553

To qualify, you must earn at least R2 200 per month

3.1 Does Mr Khumalo qualify for a loan from this loan shark? Explain your answer.

(2)

3.2 Calculate the total amount Mr Khumalo must pay back if he borrows the R5 000 and he wants to pay the loan off over a period of two years.

(3)

3.3 What is the amount of interest that Mr Khumalo will pay to the loan shark over the period of two years?

(2)

3.4 Do you think it will be wise of Mr Khumalo to take this loan? What advice will you give Mr Khumalo?

(2) [9]

TOTAL 50

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