time and distance
A car travels at 60 km/h for 2 hours. How far does it travel?
120km
A rectangular garden is 12 m long and 8 m wide. What is its perimeter?
40m
Sarah invests $1,000 at 5% simple interest per annum for 1 year. How much interest will she earn?
$50
A pair of sneakers costs $160. A shop offers a 25% discount. What is the sale price?
$120
Discount = $160 × 0.25 = $40; sale price = $160 − $40 = $120.
A cyclist travels 45 km in 3 hours. What is their average speed?
15km/h
A triangular garden has a base of 14 m and a perpendicular height of 9 m. Calculate its area.
63 m²
Working: ½ × 14 × 9 = 63 m²
Jack invests $2,500 at 4% simple interest per annum for 3 years. Calculate the total interest earned.
$300
I = 2,500 × 0.04 x3 = $300
A builder buys 3.5 metres of timber at $12.80 per metre and 2.5 metres at $9.60 per metre. What is the total cost?
$68.80
3.5 × $12.80 = $44.80; 2.5 × $9.60 = $24.00; total = $68.80.
A train travels 180 km at an average speed of 80 km/h. How long does the journey take?
2 hours 15 minutes.
A swimming pool is 10 m long, 4 m wide and 1.5 m deep. What is its volume in cubic metres?
answer 60 m³
formula V=l x w x h
l=10 w=4 h=1.5
Working: 10 × 4 × 1.5 = 60 m³
Mia invests $6,000 at 3.5% simple interest per annum for 4 years. What is the total value of her investment at the end?
$6840
$6000x0.035x4=840
A water tank holds 1,200 litres when full. It is currently ¾ full. A gardener uses ⅖ of the water currently in the tank. How many litres remain?
540 L
litres1,200 × ¾ = 900 L; 900 × ⅖ = 360 L used; 900 − 360 = 540 L.
A bus leaves at 9:35 am and arrives at 12:05 pm. It travels 175 km. What is its average speed?
70 km/h
Time = 2.5 hours. Speed = 175 ÷ 2.5 = 70 km/h.
A delivery truck carries 2.4 tonnes of sand. Each bag weighs 30 kg. How many bags is the truck carrying?
80 bags
Working: 2,400 ÷ 30 = 80
A bank pays $720 simple interest on an investment of $4,000 over 3 years. What annual interest rate was paid?
answer 6% 1. Find the interest the earned in one year 720 ÷ 3=240 2. What % of 4000 is $240?
240 ÷ 4000x 100
0.06x100=6%
BODMAS
Six friends go to the movies. Each ticket costs $18. They also buy 3 large popcorns for $12 each and 4 drinks for $5 each. They use a $20 voucher. If they split the final bill equally, how much does each person pay?
$24
(6 × 18) + (3 × 12) + (4 × 5) − 20] ÷ 6 = 144 ÷ 6 = $24.
Two cars leave the same town at the same time, travelling in opposite directions. Car A travels at 85 km/h and Car B at 95 km/h. How long will it take for them to be 450 km apart?
Answer: 2 hours 30 minutes
Combined speed = 85 + 95 = 180 km/h. Time = 450 ÷ 180 = 2.5 hours.
A circular running track has a radius of 35 m. Calculate its circumference to one decimal place
219.9 m
radius of a circle ?
Working: 2 ×π× 35 ≈ 219.9 m
Oliver invests $8,000 at 4.5% simple interest per annum. How many years and months will it take to earn $1,050 in interest? Round to the nearest month.
2 years and 11 months
Olivia invests $8,000 at 5% simple interest per annum for 3 years. She then spends 25% of the total amount on a holiday. How much money does she have left?
$6,900
Interest = 8,000 × 0.05 × 3 = $1,200; total = $9,200; holiday = $2,300; remaining = $6,900.