Grade 12 Mathematical Literacy: Question Paper 2 MARKS ...

Mathematical Literacy (NCS)/Grade 12/P2

72

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Grade 12 Mathematical Literacy:QuestionPaper 2

MARKS: 150

TIME: 3hours

QUESTION 1

In January 2006 Luka (36 years old) worked for a hotel chain.Luka¡¯s gross annual salary

was R97575,

00.

1.

1

1.

2

1.

3

Use the extractfrom the SARStaxtable to determine how muchtax(SITE +

PAYE) Luka paid in 2006

(3)

All employees contribute 1% of thei

r mont

hly salary t

o t

he Unemployment

Insurance Fund (UIF),how much did Luka contribute to UIF each month in

2006?

(4)

Hence,or otherwise,show thatLuka¡¯s take-home salary was R7009,

51

(3)

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Mathematical Literacy (NCS)/Grade 12/P2

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According to market researchers, people in Luka¡¯s income bracket typically

spend their money as shown in the pie chart below.

Top 10 items of expenditure for the "emerging middle

class"

Other

17,6%

Food

26,5%

Savings

4,3%

Communication

3,7%

Personal care

3,7%

Insurance &

funds

6,5%

M edical & dental

4,0%

Transport

9,7%

1.4

1.5

Clothing,

footwear &

accessories

5,0%

Housing &

electricity

18,9%

Assume that Luka¡¯s money is spent as shown in the graph and calculate to the

nearest Rand how much of each month¡¯s take-home salary is spent on the

following:

y Food

y Clothing, footwear and accessories

y Housing and electricity

y Transport

(8)

Refer to the table below which lists the change in CPI for each of the expenditure

groups listed in the pie chart from 2006 to 2007.

By referring to you answers to 1.4, determine the missing values a to e in the

table (you need only write down the values and show your calculations).

Expenditure group

Food

Clothing, footwear & accessories

Housing & electricity

Transport

M edical & dental

Insurance & funds

Personal care

Communication

Savings

Other

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Typical monthly spend

by Luka in January

2006

see answer 1.4

see answer 1.4

see answer 1.4

see answer 1.4

R280,00

R456,00

R259,00

R259,00

R301,00

R1 234,00

R7 003,00

Percentage change in

CPI for expenditure

group

9,3%

-10,9%

9,2%

6,8%

5,6%

¨C

5,0%

0,2%

¨C

6,9%

¨C

(10)

Anticipated monthly

spend by Luka in

January 2007

a

b

c

d

R296,00

R480,00

R272,00

R260,00

R395,00

R1 319,00

e

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Mathematical Literacy (NCS)/Grade 12/P2

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1.6

Calculate the percentage change in total expenses for Luka from 2006 to 2007.

(4)

1.7

Luka¡¯s employer offers Luka an ¡°inflation-linked¡±salary increase of 5% for

2007.W hat would Luka¡¯s gross salary be after this increase?

(3)

The tax formula applicable to 2007 is shown below. Use this formula and the

salary you calculated in 1.7 to show that Luka¡¯s monthly take home salary after

paying tax and UIF contributions will be R7 501,31.

(7)

1.8

Rates applicable to individuals

TAXABLE INCOME

R

R

R

0 ¡ª 100 000

100 001 ¡ª 160 000 18 000

160 001 ¡ª 200 000 33 000

220 001 ¡ª 300 000 51 000

300 001 ¡ª 400 000 79 000

400 001

and above 117 000

RATES OF TAX

R

+

+

+

+

+

18%

25%

30%

35%

38%

40%

ofeach R1

ofthe amount above

ofthe amount above

ofthe amount above

ofthe amount above

ofthe amount above

100 000

160 000

200 000

300 000

400 000

Tax Rebates

x Primary rebate ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ ¡­ .

x Additional rebate (for person 65 years and older) ¡­ ¡­ .

1.9

1.10

R7 200

R4 500

Calculate the percentage increase in take-home salary from January 2006 to

January 2007 and explain in terms of tax rates why this is greater than the 5%

increase that the employer gave Luka.

By referring to Luka¡¯s anticipated expenses (question 1.5) determine whether

Luka will be able to maintain the lifestyle of January 2006 in January 2007

j

ustify your answer.

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(8)

(3)

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Mathematical Literacy (NCS)/Grade 12/P2

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QUESTION 2

The graph below compares the effective income tax rate applicable to South Africans

from the 2005 to 2008 tax years.

Effective income tax rates 2005 to 2008 (South Africa)

2005

40%

2006

Effective tax rate

35%

30%

2007

25%

2008

20%

15%

10%

5%

R950 000

R1 000 000

R900 000

R850 000

R800 000

R750 000

R700 000

R650 000

R600 000

R550 000

R500 000

R450 000

R400 000

R350 000

R300 000

R250 000

R200 000

R150 000

R100 000

R0

R50 000

0%

Annual income

2.1

What was the effective tax rate paid by a person earning R150 000 in each of the

years 2005;2006;2007 and 2008?

(4)

How much would a person have to earn to pay an effective tax rate of 25% in

each of the years 2005;2006;2007 and 2008?

(4)

2.3

How much would a person earning R100 000 in 2008 have paid in income tax?

(2)

2.4

Describe the trend in effective income tax rate over the period 2005 to 2008 ¨C

motivate your answer.

2.2

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(4)

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Mathematical Literacy (NCS)/Grade 12/P2

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QUESTION 3

3.1

3.2

Describe in your own words what is meant by the following: ¡°the student taking

the test scored at the 75th percentile¡±

Test results for a particular test are

summarised alongside. In which

quartile would a person with a total of

88 fall?

Test Scores Frequency

66 - 70

4

71 - 75

3

76 - 80

2

81 - 85

6

86 - 90

3

91 - 95

2

(2)

(2)

Questions 3.3 and 3.4 on the next page refer to the graph below.

BMI

97

95

90

85

75

BMI

50

25

10

3

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