Solve the inequality.

(a)  

The diagram shows the floor plan of the stage at a theatre.

The stage is made from a rectangle and a semicircle.

The rectangle is 16 m long and 5.5 m wide.

Work out the total area of the stage.

Give your answer correct to two decimal places.

(a)  

A bottle contains 3.6 litres of water.

Water drips out of the bottom of the bottle at a rate of 20 millilitres per minute.

Work out how long it takes for the bottle to empty.

Give your answer in hours.

(a)  

The original selling price of a shirt was $45.

In a sale, the shirt is reduced to $32.50.

Calculate the percentage reduction.

Round off your answer correct to 2 decimal place.

(a)  

A car travels 240 km in 3.75 hours.

Calculate the average speed of the car.

(a)  

A country has a total area of 40.8 million hectares.

28.4 million hectares is covered with forest.

Work out the percentage of the total area that is covered with forest.

Give your answer to one decimal place.

(a)  

A point lies on the line 3x + 2y = 12.

The x-coordinate of the point is 1.

Work out the y-coordinate.

(a)  

Work out the coordinates of the point where the line 3x + 2y = 12 crosses the x-axis.

(a)  

Work out 1.6 x 0.04

(a)  

Find out the best estimate value to calculate the following:

√26

(a)  

Simplify the following expression and leave your answer in index form:

(6²)⁴ x 6

(a)  

Expand and simplify the following:

(2x + 5)(3x - 4)

(a)  

Solve 7x - 5 = 30

(a)  

Solve the following simultaneous equations.

2x + 5y = 13

2x + y = 9

(a)  

Find the equation of the line given that the gradient is 3 and y-intercept is 7. Write your answer in the form of y=mx+c

(a)  

Based on the sequence below, answer the following questions:

1, 3, 5, 7, 9, 11,...

Find the nth term for the sequence.

(a)  

Find the simple interest paid on the following loan:

$550 for 2 years at 12% per year

(a)