Ratios
Pythagorus
Pie Charts
Percentage Increase and Decrease
Mixed Maths
100

Simplify the ratio 12:18

2:3

100

A right triangle has sides 3 cm and 4 cm. Find the hypotenuse.



5

100

A pie chart represents 40 students. If 10 students chose football, what fraction of the pie chart is football?

1/4

100

Increase 50 by 10%

55

100

17+28

45

200

Divide $45 in the ratio 2:3  

$18 and $27

200

A right triangle has a hypotenuse of 13 cm and one side of 5 cm. Find the other side.

12 cm

200

A pie chart represents 360 people. A sector has an angle of 90°. How many people does it represent?

90 people

200

Decrease 80 by 25%

60

200

9x8-2

70

300

Simplify the ratio 24:36:60

2:3:5

300

A ladder leans against a wall. The ladder is 10 m long and the base is 6 m from the wall. How high up the wall does the ladder reach?

8m

300

A pie chart shows that 25% of students chose art. What angle should the art sector be?

90°

300

A shirt costs $40 and is increased by 15%. What is the new price?

$46

300

144 ÷ 12

12

400

A recipe uses flour and sugar in the ratio 5:2. If 350g of flour is used, how much sugar is needed?

140g

400

A rectangular field is 9 m long and 12 m wide. Find the length of the diagonal.



15 m

400

In a pie chart, the music sector is 120°. If the chart represents 60 students, how many students chose music?

20 students 

400

A phone costs $250 and is reduced by 20%. What is the sale price?

$200

400

25% of 240

60

500

Three friends share $180 in the ratio 2:3:4. How much does each person receive?

$40, $60, $80

500

A triangle has sides 9 cm and 40 cm. Find the hypotenuse.



41cm

500

A pie chart represents 200 people. The sports sector is 144°. How many people chose sports?

80 people

500

A car value decreases by 10% each year. If it starts at $20,000, what is its value after one year?

$18,000

500

A train leaves at 2:45 PM and arrives at 5:20 PM. How long is the journey?


2 hours and 35 minutes

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