General Mathematics 2 Revision

Prelim Taxation

100

Tony is employed as a motor mechanic. Tony claims deductions of $1800 to buy tools, $225 for three pairs of work overalls, $5 per week for dry-cleaning of these overalls and $2.50 per week for work-related telephone calls. Calculate Tony’s total tax deductions.

(A) $2865

(B) $2032.50

(C) $2415

(D) $1185

(C) $2415

200

Catherine is a computer consultant who uses her own vehicle for work. Each week she must make several visits to businesses that use her computer systems. Catherine travelled 4523 km on work-related trips during the year. Calculate the tax deduction that Catherine can claim if she is entitled to claim at the rate of 63c per kilometre.

(A) $2849.49

(B) $284 949

(C) $28.49

(D) $2.85

(A) $2849.49

300

Brian runs a small bakery and has equipment in his bakery to the value of $45 000 at the beginning of the 2012–13 financial year. For tax purposes he depreciates these items at a rate of 28% p.a. Calculate the tax deduction that Brian can claim for depreciation in 2015–16.

(A) $987.84

(B) $97 200

(C) $37 800

(D) $16 796.16

(D) $16 796.16

HSC Algebra

100

Simplify 4a²/5 x 3a²

(A) 7a/5

(B) 7a⁴/5

(C) 12a²/5

(D) 12a⁴/5

(D) 12a⁴/5

200

Solve the equation 11v - 8 = 27

(A) v = 11/35

(B) v = 11/15

(C) v = 1 and 8/11

(D) v = 3 and 2/11

(D) v = 3 and 2/11

300

If p = sqrt(q² + r²), find the value of p if q = 8 and r = 6.

(A) sqrt(14 )

(B) sqrt(28)

(C) 10

(D) 100

(C) 10

HSC Data

100

The average monthly temperatures for Town A and Town B are shown below. What is the temperature of Town A in March?

A: 34, 30, 30, 27, 21, 18, 15, 19, 22, 25, 29, 31

B: 29, 27, 26, 28, 25, 17, 13, 14, 21, 26, 28, 29

(A) 26

(B) 30

(C) 4

(D) 34

(B) 30

200

The average monthly temperatures for Town A and Town B are shown below. When is the temperature of Town B greater than for Town A?

A: 34, 30, 30, 27, 21, 18, 15, 19, 22, 25, 29, 31

B: 29, 27, 26, 28, 25, 17, 13, 14, 21, 26, 28, 29

(A) April

(B) December

(C) May

(D) October

(C) May

300

Which of the following best describes the data 4, 5, 4, 2, 1, 1 if it was displayed in a dot plot?

(A) bimodal

(B) negatively skewed

(C) positively skewed

(D) symmetrical

(C) positively skewed

HSC Probability

100

A cupboard contains 7 white mugs and 4 black mugs. A mug is taken at random from the cupboard, and then returned to the cupboard after its colour has been noted. A second mug is then taken at random from the cupboard. What is the probability both mugs are the same colour?

(A) 28/121

(B) 49/121

(C) 56/121

(D) 65/121

(D) 65/121

200

What is the probability of throwing at least one 6 if a die is thrown twice?

(A) 1/36

(B) 1/18

(C) 11/36

(D) 25/36

(C) 11/36

300

Two unbiased coins are tossed 100 times. Which calculation illustrates the expected number of times you would get a tail and a head?

(A) 1/4 x 100

(B) 1/2 x 100

(C) 1/3 x 100

(D) 1/4 x 200

(B) 1/2 x 100

Prelim Measurement

100

A cylindrical tank has a radius of 2.5 m. When 43 mm of rain falls the amount of water collected by the tank is closest to:

(A) 8 L

(B) 84 L

(C) 840 L

(D) 8440 L

(C) 840 L

200

Find the perimeter of an isosceles triangle with two sides 14 mm and the other 20 mm.

(A) 34 mm

(B) 54 mm

(C) 280 mm

(D) 48 mm

(D) 48 mm

300

What is the perimeter of a sector with an angle of 20 degrees and a radius of 7 cm?

(A) 2.44 cm

(B) 9.44 cm

(C) 4.89 cm

(D) 16.44 cm

(D) 16.44 cm