Show:
fractions
Percentage of
Percentage change
Ratio
GST
100
1/5 + 3/7 =
7/35 + 15/35 = 22/35
100
Find 28% of $600
28% / 100 = 0.28 (of means times) 0.28 x 600 = $168
100
If an ipod has a cost price of $230 and the shop wants to make a 20% profit, what should the selling price be?
100% + 20% = 120% / 100 = 1.2 230 x 1.2 = $276
100
If there are 28 students in a room and 2 teachers, what is the ratio of students:teachers?
14:1
100
A drill costs $120 ex. GST. What is the GST to pay?
GST = 12.5% / 100 = 0.125 0.125 x 120 = $15.00 to pay OR: $120 / 8 = $15.00 to pay
200
What is 3/8 ths of $128?
128 x 3 / 8 = $48
200
What is 45% of $80?
45% / 100 = 0.45 0.45 x 80 = $36
200
A shirt is in sale at 35% off. If the retail price was $130, what is the sale price?
100% - 35% = 65% / 100 = 0.65 130 x 0.65 = 84.50
200
James and Dan bought a lotto ticket which won $30. If James paid $4 and Dan only $2 of the $6 ticket, how should they split the money?
James $20, Dan $10
200
If a laptop costs $890 ex. GST what is the total price including GST?
100% + 12.5% = 112.5% / 100 = 1.125 890 x 1.125 = $1001.25 OR: $890 /8 x 9 = $1001.25
300
Chris eats 5/12 of a pizza for tea and has another 1/4 for breakfast the next day. How much of the pizza is left? (Fraction must be in simplest form)
1 - 5/12 - 1/4 = 4/12 = 1/3 left
300
A surfboard shop offers 15% discount. If a board retails for $650, by how much will it be reduced?
15% / 100 = 0.15 0.15 x 650 = $97.50
300
A shop increases the price of a $28 flash drive by 10%. How much does the price increase by?
10% / 100 = 0.10 0.10 x 28 = $2.80 increase
300
Divide $600 in the ratio 7:5
$350:$250
300
A skateboard costs $126 including GST. What is the price exclusive of GST?
100% + 12.5% = 112.5% / 100 = 1.125 126 / 1.125 = $112.00 OR: $126 / 9 x 8 = $112.00
400
Trevor's new set of tyres costs $880. If he pays 2/5 of the cost up front and then half a week later, how much money does he still have to pay?
1 - 2/5 - 1/2 = 1/10. 1/10 = 0.1 x 880 = $88.00
400
The number of logs a driver can load in an hour is 75. If this is 12% of the total logs loaded, what is the total number of logs loaded in that hour?
12% / 100 = 0.12 75 / 0.12 = 625 logs
400
If a jacket is on sale for $123 and has 40% off, what was the original price?
100% - 40% = 60% / 100 = 0.6 123 / 0.6 = $205
400
If the ratio of teachers:students at a school needs to be 1:27 or less and there are currently 985 students at the school, what is the minimum number of teachers they need to employ?
1:27 = 36:972 so they need to employ at least 37 teachers
400
If someone is paying $360 rent per week inclusive of GST, how much GST do they pay in a year?
360 / 1.125 = $320 ex. GST so GST is $40 x 52 weeks = $2080 OR: 360 / 9 = $40 x 52 weeks = $2080
500
Three friends share a bacon and egg pie. If Jeff eats 3/8 of the pie and Fred eats 2/5, how much does Sam get to eat?
1 - 3/8 - 2/5 = 9/40 of the pie for Sam.
500
Tom buys a 2nd hand car. The asking price is $1500. Tom offers 20% less and the seller suggests 10% more than Tom's offer. What price does the seller now want?
100% - 20% = 80% / 100 = 0.8 1500 x 0.8 = $1200 100% + 10% = 110% / 100 = 1.1 1200 x 1.1 = $1320
500
Petrol went up 12% yesterday. If the new price is $1.68 per litre, what was the original price?
100% + 12% = 112% / 100 = 1.12 1.68 / 1.12 = $1.50
500
Paora and Stuart bought a $6 lotto ticket together which won $3000. If Paora contributed 5 times more than Stuart to the ticket money, how should the prize be divided?
Paora:Stuart = 5:1 5 + 1 = 6, 3000 / 6 = $500, so Paora gets $2500 and Stuart gets $500
500
A shop accidentally charges GST twice on a pair of jeans. If the price ex. GST was $80, what price did the shop charge?
100% + 12.5% = 112.5% / 100 = 1.125 80 x 1.125 x 1.125 = $101.25