Algebra and Linear
Shapes
Tax and Children
Ratios
GST and money
100
Solve the following equation:
4p + 3 = 23
5
100
For this pair of similar figures, name a pair of matching sides and a pair of matching angles.
Any of the combinations below:
PQ and YX, PS and YZ, SR and ZW, QR and XW
Angle P and Y, Angle Q and X, Angle R and W, Angle S and Z
100
Sarah kept a travel diary of work-related kilometres for her travel between her 2 jobs. In it she can prove that she has travelled 820 km. At a rate of 75 c per km, how much can she claim as a work-related travel expense?
$615
100
Simplify the following ratio
10:12:20
5:6:10
100
In a small island community, the average male earnings are $65 920 and the average female earnings are $58 880. Use the gender pay gap formula to calculate the gender pay gap in the community, correct to 1 decimal place.
10.7%
200
Kellani is paid $45 for every scarf she knits. Her income is given by the equation I = 45n, where n is the number of scarves she knits. How many scarves did Kellani knit in a day when she was paid $270?
6 scarves
200
Find the value of y in the following similar figures:
y = 3
200
Calculate the Medicare levy on the taxable income.
$121 300 individual income with health insurance
$2426
200
The ratio of chocolate to vanilla ice creams in a supermarket freezer is 3 : 2. There are 125 ice creams altogether. How many more chocolate ice creams than vanilla ice creams are there?
25
200
The exchange rate between Australian and New Zealand dollars is A$1 = NZ$1.07.
What is the value of A$500 in New Zealand dollars?
$535
300
Solve this pair of equations simultaneously.
y = 2x + 17
y = 5x + 8
x = 3
y = 23
300
Find the length of x on the plan below:
x = 6950 mm
300
Calculate the tax payable on the taxable income.
$73 240
$14 270
300
A triangle has sides in the ratio 2 : 5 : 4. If the shortest side is 18 cm, find the lengths of the other 2 sides.
45 cm and 36 cm
300
Packs of Mocha Jamaica coffee beans are available in 4 sizes:
500g:$22.20 2kg:$88.50 5kg:$205 10kg:$412
Which price represents the cheapest price per kilogram?
5kg at $41/kg
400
Two car companies charge the following rates to hire a car for a day.
Company A: Flat fee of $35 plus 20 cents per kilometre
Company B: Flat fee of $25 plus 30 cents per kilometre
Write two equations for each company above.
C = 35 + 0.20n
C = 25 + 0.30n
400
I am a quadrilateral with opposite sides of equal length. My diagonals bisect each other at right angles. What am I?
Rhombus
400
Amelia is going back to work after the birth of her first baby. The quote for the baby’s childcare was $95 per day until the baby is 6 months old. Amelia works 9 days per fortnight, earning $1625 gross. a What percentage of her gross pay is her childcare cost? Give your answer correct to the nearest whole per cent.
53%
400
Gold used in jewellery is classified according to its gold content. The ratio of gold to other metals is given in carats. Pure gold is 24 carats, and 5-carat gold has gold mixed with other metals in the ratio 5 : 19.
Vanessa purchased an 18-carat gold bracelet with a mass of 60 g. How much gold is in the bracelet?
45 g
400
The price of a freezer including GST is $1606. What is the price of the freezer without GST?
$1460
500
A small car has a fuel consumption of 12.5 km/L. This means the car travels 12.5 kilometres for every 1 litre of fuel used.
Write the direct variation equation relating distance expected to travel (D) to amount of fuel used (L).
Find the constant of variation. and write the equation for D in terms of L.
D = kl
k = 12.5
D = 12.5L
500
Is each statement true or false?
a An obtuse-angled triangle can only have 1 obtuse angle.
b A square has only 2 axes of symmetry.
c An acute-angled triangle cannot be equilaterala True
b False
c False
d False
e True
500
Last year, Dante’s gross weekly income was $720, and he received $157 interest from his bank. His allowable taxation deductions were union membership of $215, a donation of $50 to the Red Cross and uniform cleaning costs totalling $420.
a) Calculate Dante’s taxable income.
b) How much income tax is he required to pay?
a) $36 912
b) $3555
500
Martin mixes a fertiliser combining nitrogen, phosphorus and potassium in the ratio 5 : 1 : 2. How much of each ingredient will he use to make 120 kg of the fertiliser?
75 kg nitrogen
15 kg phosphorus
30 kg potassium
500
The prices of all items in a shop include GST. Last week, the total sales were $14 568 and the labour costs were $2350. Calculate the labour percentage, to 1 decimal place.
17.7%