General Mathematics 2 Revision

Prelim Taxation

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

200

Allan’s taxable income is $48 000. Allan’s tax for the year is:

(A) $720

(B) $7147

(C) $8400

(D) $8670

(B) $7147

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

HSC Probability

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

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

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

Prelim Measurement

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

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

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

HSC Algebra

100

Simplify 2a²b - 5ba² + 13ab.

(A) 7a²b

(B) 10a²b

(C) 3a²b + 13ab

(D) -3a²b + 13ab

(D) -3a²b + 13ab

200

Simplify 9y/2 + 4y/2.

(A) 13y/2

(B) 13y/4

(C) 36y²/4

(D) 9y²/2

(A) 13y/2

300

Expand -4(2p + 3q).

(A) -8p - 12q

(B) -8p + 12q

(C) -8p - 3q

(D) -8p + 3q

(A) -8p - 12q

Prelim Communication

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

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

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