Percentage
Express
3/7
as a percentage correct to 2 d.p.
42.86%
a is directly proportional to b.
Write an equation that relates a and b.
a/b = constant
b/a = constant
Speed and acceleration respectively
Express
5/9 %
as a decimal correct to 4 s.f.
0.005556
a is inversely proportional to b.
Write an equation that relates a and b.
ab = constant
Thad takes 8 min to run 500 m.
He then cycles at a constant speed of 20 km/h for 20 min.
What is Thad's average speed in km/h for this whole journey?
(Round off your answer to 1 d.p.)
15.4 km/h
Express 14.8 s as a percentage of 24 years.
Express your answer in standard form, correct to 3 s.f.
Assume that there are 365 days every year (ignore the leap years!).
1.96 x 10-6 %
h is directly proportional to b2.
When b = 3, h = 45.
Find the value of h when b = 6.2.
192.2
A car starts from rest and accelerates at 10 m/s2 for 5 s. It then moves at a constant speed for 1 min.
What is the total distance travelled by the car?
3125 m
After 8% GST and 7% service charge, the price of a laptop became $2773.44.
What is the marked price of the laptop?
$2400
The inverse square law tells us that the gravitational force between two bodies, F, is inversely proportional to the square of the distance between them, d.
When two bodies are 10 km apart, the gravitational force between them is 5000 N.
Find the distance between the two bodies when the gravitational force between them is 200 N.
50 km