Ratio
Rates
Simple interest
Percentages
Mix
100

Determine the ratio of white flowers (camomile) to purple flowers (bluebell) in the picture shown.

5:4

100

A cyclist travels 120 km in 3 hours. Calculate the rate at which the cyclist is travelling using units of:

kilometres per hour

40km/h

100

explain what principal means.

Principal is the amount of money you start with

100

Calculate the following:

28% of 288


80.64

100

A laptop originally costs $1,200. If it is on sale for 15% off, what is the discounted price?

$1020

200

Determine the ratio of 240 000 g sand and 80 kg cement.

3:1

200

A student walks 1.6 km to school in 22 minutes. Calculate the speed she walks to school in m/s.

1.21m/s

200

Calculate the simple interest paid on the following investments.

$500 at 6.7% per year for 2 years


$67

200

Rebecca has had her eyes on her dream pair of shoes and to her surprise they were on a 25% off sale. If the full price of the shoes is $175, what price did Rebecca pay for her dream shoes

$131.25

200

A water tank can be filled in 6 hours. How long will it take to fill 72% of the tank?

4 hours and 19 minutes

300

Determine the number of children in a group of 1320 people if the ratio children to adults is 3:1

990 children

330 adults

300

Convert the following rate as shown, giving your answer to two decimal places.

80 km/h to m/s


22.22m/s

300

A bank offers interest on its savings account of 6% p.a. If a Year 11 girl opens an account with $750 and leaves her money there for 5 months, how much interest does she earn?

$18.75

300

if a student received 48 out of 55 for a mathematics test, what percentage, correct to 2 decimal places, did they get for their test?

87.27%

300

The length of a rectangle is 12 cm and the width is 60 mm. Find the ratio of the length to the width in simplest form.

2:1

400

Rich has 1 hour and 45 minutes to complete his Science, English and Maths homework. If the time he needs to spend on the three subjects is in a ratio 1:2:4 respectively, how long does he have to spend on his Maths homework?

60 minutes

400

Tea bags in a supermarket can be bought for $1.45 per pack of 10 or for $3.85 per pack of 25. Which is the cheaper way of buying tea bags and what is $/bag rate

10 pack =$0.145perbag

25 pack=$0.154perbag


400

A Year 1111 girl is paid $79.50 in interest for an original investment of $500 for 3 years. What is the annual interest rate?

5.3%

400

If a pair of boots were reduced from $155 to $110, what was the percentage discount offered on the boots? Give your answer to one decimal place.

29%

400

A loan of $6,000 is taken at an interest rate of 6% per year. How much interest will be paid after 3 years?

1080

500

Three friends won a prize of $1520. How much money did each of them win if they contributed to the price of ticket in the ratio 2:5:9 to buy the winning ticket?

$190, $475, $855

500

Calculate the fuel consumption (in L/100 km) for the following:

a sedan using 35 L of petrol for a trip of 252 km

13.89L/100km

500

Bank A offers an interest rate of 7.8% on investments, while Bank B offers an interest rate of 7.4% in the first year and 7.9% in subsequent years. If a customer has $20000 to invest for 3 years, which is the better investment?

Bank a = 24680

bank b = 24640 

bank a is better 

500

Olivia saved $35 on the books she purchased, which were originally priced at $187.

How much did she pay for the books and What percentage, correct to 1 decimal place, did she save from the original price?

Spent $152 and 18.7%

500

A car travels a distance of 240 miles in 4 hours. What is the average speed of the car in miles per hour?

60m/h