2002 general mathematdfics a assessment unknown

8/12/2019 2002 General Mathematdfics a Assessment Unknown

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HSC GENERAL MATHEMATICS

ASSESSMENT TASK 1

MEASUREMENT & FINANCIAL MATHEMATICS

SECTION A: Multiple Choice

1). Slavisa is a nurse with a gross annual income of $45 675. He has earned $136.50in interest from his bank accounts and has allowable deductions of $680. Slavisa staxable income is:

(A) $44 858.50(B) $45 131.50(C) $46 218.50(D) $46 491.50

2). A cube has a side length of 4cm.I: The surface area of the cube is 64cm2II: The volume of the cube is 96cm3Which of the above statements is correct?

(A) I only(B) II only(C) Both I and II(D) Neither I nor II

3). The simple interest paid on $5600 at 5.6% for 3 years is:

(A) $940.80(B) $994.46(C) $6540.80(D) $6594.47

4). The compound interest paid on $5600 at 5.6% for 3 years with interestcompounded annually is:

(A) $940.80(B) $994.46(C) $6540.80(D) $6594.47

5). In 2002, a basket of groceries costs $67.50. If the inflation rate is predicted to be2.9% for the next year, by how much can we expect the cost of the basket of groceriesto rise?

(A) $1.95(B) $1.96

(C) $69.45(D) $69.46


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SECTION B: MEASUREMENT

Question 1:

Find the surface area of the following:

Question 2:

Find the volume of the following:


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Question 3:

Find the volume of the following:

Question 4:Calculate the volume of a sphere with a diameter of 2.3cm. Answer correct to 2decimal places.

SECTION C: FINANCIAL MATHEMATICS

Question 1:

Find the simple interest paid on an investment of $5750 at 4.6% p.a for 2 years.

Question 2:

a) Noel is to invest $12000 at 8% p.a for 2 years with interest compounded annually.Calculate the future value of the investment.

b) Noel is to invest $12000 at 8% p.a for 2 years with interest compounded quarterly.Calculate the future value of the investment.

Question 3:

A company has an after tax profit of $34.2 million. There are 90 million shares in thecompany. What dividend will the company declare if all profits are distributed to theshareholders?

Question 4:

A company with a share price of $5.42 declares a dividend of 25c. Calculate thedividend yield, correct to 2 decimal places.

Question 5:

The cost of a television set is $800. If the average inflation rate is 4%, estimate thecost in 5 years.

Question 6:

Bob is a builder. At the end of the 2000 !2001 financial year, Bobs building

equipment was valued at $12 350. If Bob is allowed a tax deduction of 25% fordepreciation of his equipment, calculate the deduction.


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Question 7:

Fernando earns a gross salary of $45 900 per year. His tax deductions total $2145.70.Calculate Fernandos taxable income.

Question 8:A cricket bat has a pre-GST price of $125.50. Calculate the GST payable. (GST is10%).

Question 9:

Trevor earns a gross wage of $772.70 per week. Calculate the amount of PAYE taxthat is deducted by his employer.

Income Tax payable

$1 to $6000 $0

$6001 to $20 000 $0 plus 17c for each $1 over $6000

$20 001 to $50 000 $2380 plus 30c for each $1 over $20 000$50 001 to $60 000 $11 380 plus 42c for each $1 over $50 000

In excess of $60 000 $15 580 plus 47c for each $1 over $60 000

End of Assessment Task

2002 general mathematdfics a assessment unknown

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