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Prelim Taxation
HSC Probability
Prelim Measurement
HSC Algebra
Prelim Communication
100
Slavisa is a nurse with a gross annual income of $45 675. He has earned $136.50 in interest from his bank accounts and has allowable deductions of $680. Slavisa’s taxable income is:

(A) $44 858.50

(B) $45 131.50

(C) $46 218.50

(D) $46 491.50

(B) $45 131.50
100
Two dice are rolled. What is the probability that only one die shows a 6?

(A) 1/36

(B) 1/6

(C) 5/18

(D) 11/36

(C) 5/18
100
A square with sides 16 cm has four equal circles drawn inside it so that their area is maximised (it kinda looks like the top of a stove).

The circles cover an area of approximately:

(A) 50 cm2

(B) 101 cm2

(C) 201 cm2

(D) 402 cm2

(C) 201 cm2
100
Simplify 2a2b - 5ba2 + 13ab.

(A) 7a2b

(B) 10a2b

(C) 3a2b + 13ab

(D) -3a2b + 13ab

(D) -3a2b + 13ab
100
Calculate the cost of 45 SMS messages sent at the standard rate of 25c per 160 characters.

(A) $11.25

(B) $1125

(C) $1800

(D) $0.07

(A) $11.25
200
Allan’s taxable income is $48 000. Allan’s tax for the year is (use the PAYG tax table on page 91 (including Medicare levy)):

(A) $720

(B) $4200

(C) $8400

(D) $8670

(D) $8670
200
Daniel is deciding on the number of digits required for an invoice number. How many more numbers are available if Daniel uses five digits (e.g. 78012) compared to using four digits (e.g. 1275)?

(A) 10

(B) 90 000

(C) 10 000

(D) 100 000

(B) 90 000
200
A square with sides 16 cm has four equal circles drawn inside it so that their area is maximised (it kinda looks like the top of a stove).

What is the approximate area of the shape when the circles are removed?

(A) 55 cm2

(B) 146 cm2

(C) 155 cm2

(D) 206 cm2

(A) 55 cm2
200
Simplify 9y/2 + 4y/2.

(A) 13y/2

(B) 13y/4

(C) 36y2/4

(D) 9y2/2

(A) 13y/2
200
If a standard SMS is charged at 30c per 160 characters, what is the total cost of sending two SMS if one is 220 characters long and the other is 340 characters long?

(A) $0.60

(B) $1.05

(C) $1.50

(D) $0.90

(C) $1.50
300
Bradley receives a bill for $489.50 for car repairs, which includes GST. The cost of the repairs without the tax was:

(A) $440.55

(B) $445.00

(C) $489.50

(D) $538.45

(B) $445.00
300
In how many different ways can the letters of the word ‘MATHS’ be arranged in a row?

(A) 6

(B) 21

(C) 24

(D) 120

(D) 120
300
A rectangular garden measures 5 m by 4 m. A path 1 m wide is to be built around the garden. The area of the concrete is:

(A) 10 m2

(B) 20 m2

(C) 22 m2

(D) 35 m2

(C) 22 m2
300
Expand -4(2p + 3q).

(A) -8p - 12q

(B) -8p + 12q

(C) -8p - 3q

(D) -8p + 3q

(A) -8p - 12q
300
Mick’s phone bill shows that his SMS messages for the month cost $32.25. He knows that he sent 215 messages. What was the average cost of each?

(A) $6933.75

(B) $0.15

(C) $6.67

(D) $0.50

(B) $0.15