Pythagoras Theorem
A right angle has sides 3cm and 4cm. What is the hypotenuse?
5cm
Solve:
x+7=15
x=8
A train leaves at 2:15 pm and arrives at 3:05 pm. How long is the journey?
50 minutes
A car travels 180 km in 3 hours. What is its average speed?
60 km/h
Find:
1/2 +1/4
3/4
A right-angled triangle has a hypotenuse of 13 cm and one side of 5 cm. Find the other side.
12 cm
Solve:
3x−8=2x+11
x=19
A movie ticket costs $14. How much do 5 tickets cost?
$70
A tap fills 24 litres of water in 6 minutes. What is the rate in litres per minute?
4 L/min
What is 25% of 80? (no calculator)
20
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?
8 m
Solve:
5(x−2)=3x+14
x=12
A shop sells 3 notebooks for $12. How much would 7 notebooks cost?
$28
A cyclist travels 45 km in 1.5 hours. What is the cyclist’s average speed?
30 km/h
Convert 3/5 to a percentage
60%
The diagonal of a square is 14 cm. Find the length of one side to 1 decimal place.
9.9 cm
Solve:
2(3x+5)−4=4x+18
x = 6
Sophie saves $8 each week. She already has $35. How much money will she have after 9 weeks?
$107
A recipe serves 4 people and uses 250 g of pasta. How much pasta is needed for 10 people?
625 g
A jumper costing $60 is reduced by 15%. What is the sale price?
$51
A rectangular field is 24 m long and 10 m wide. A path runs diagonally across the field. Find the length of the path.
26 m
Solve:
x/3 + 7 = 2x/5 + 4
x=45
A school bus holds 48 students. If 362 students are going on an excursion, how many buses are needed?
8 buses
A runner completes 12 laps in 18 minutes. At this rate, how many laps will the runner complete in 45 minutes?
30 laps
Sarah scored 42 out of 56 on a test. What percentage did she score?
75%