Measurement
Convert 3.5 km into metres.
3.5x1000 = 3500m
Convert 2.4 hours into hours and minutes.
2.4 = 2 hours and 0.4 x 60 = 24 minutes
2 hours and 24 minutes
A map has a scale of 1 : 50 000.
What actual distance does 4 cm on the map represent? (give solution in km)
✅ Answer: 2 km
A jacket costs $120. It is on sale for 25% off.
How much is the discount, and what is the sale price?
$90
A tap fills 12 litres of water in 3 minutes.
Find the rate of flow in litres per minute.
✅ Answer: 4 litres per minute
A rectangular garden measures 8 m by 12 m.
Find the perimeter.
✅ Answer: 40 m
A bus leaves the station at 9:45 a.m. and arrives at 11:20 a.m.
How long is the trip?
✅ Answer: 1 hour 35 minutes
A bottle of size 40 mL was produced. It has an improved dropper which can empty the bottle after 600 drops. How many drops does it take to make 1 mL?
15 drops
A concert ticket originally costs $80, but the price increases by 15%.
Find the new price.
15% of 80=0.15×80=12
✅ Answer: $92
A car travels 180 km in 3 hours.
Find its average speed.
✅ Answer: 60 km/h
Find the area of a triangle with a base of 10 cm and a height of 6 cm.
✅ Answer: 30 cm²
A movie marathon starts at 7:30 p.m. and finishes at 1:15 a.m. the next day.
How long did it run for?
✅ Answer: 5 hours 45 minutes
A 500 mL bottle of juice costs $3.25.
Find the cost per litre.
✅ Answer: $6.50 per litre
A student scored 36 out of 45 on a maths test.
What percentage did they get?
✅ Answer: 80%
Electricity costs $0.32 per kWh.
If a heater uses 4.5 kWh in one evening, how much does it cost to run?
✅ Answer: $1.44
A box measures 5 cm × 8 cm × 3 cm.
Find its volume.
✅ Answer: 120 cm³
A cyclist travels at an average speed of 18 km/h for 40 minutes.
How far do they travel?
✅ Answer: 12 km
On a house plan drawn at a 1 : 100 scale, the length of a bedroom measures 4.8 cm.
Find the actual length of the bedroom in metres.
✅ Answer: 4.8 m
The value of a laptop dropped from $1500 to $1200 over one year.
Find the percentage decrease in value.
20% decrease
A metal block has a mass of 1.8 kg and a volume of 600 cm³.
Find its density in g/cm³.
✅ Answer: 3 g/cm³
A rectangular playground measures 20 m × 10 m.
A semi-circular area (half a circle) with a diameter of 10 m is added to one of the shorter sides.
Find the total area of the playground.
Formula area circle: A = Pir2
✅ Answer: 239.25 m²
A flight leaves Perth at 22:15 (10:15 p.m.) and takes 5 hours 45 minutes to reach Singapore.
Singapore is 1 hour behind Perth time.
What is the local arrival time in Singapore?
Solution:
Step 1: Add flight time (Perth time):
22:15+5:45=28:00⇒04:00 (next day Perth time)
Step 2: Adjust for time difference (Singapore is 1 hour behind):
04:00−1:00=03:00 (Singapore time)
✅ Answer: 03:00 a.m. (next day, Singapore local time)
A store sells a microwave for $240 before a 15% discount.
After the discount, 10% GST is added.
Find the final price.
1️⃣ Discounted price:
240−(0.15×240)=240−36=204
2️⃣ Add GST:
204+(0.10×204)=204+20.40=224.40
✅ Answer: $224.40
After a 10% discount, a phone costs $720.
What was the original price before the discount?
If $720 is 90% of the original price:
Answer: $800
A painter can paint 40 m² in 2 hours.
How long will it take 3 painters to paint 300 m², working at the same rate?
Solution:
Step 1: One painter’s rate
40/2 = 20 m2/hour
Step 2: Three painters together
3x20 = 60 m2/hour
Step 3: Time needed
300/60 = 5 hours