Financial Maths
What is the simple interest on $5000 at 4% p.a. for 3 years?
$600.
Convert 3.5 m into cm.
350 cm
Solve 2x + 5 = 15
x = 5
State Pythagoras’ Theorem.
a2 + b2 = c2
Define “positive correlation.”
Positive correlation: as one variable increases, the other tends to increase
State one difference between simple and compound interest.
Simple = interest only on principal;
Compound = interest on principal + accumulated interest.
Find the area of a circle with radius 7 cm.
153.94cm2
Rearrange y = 3x-7 to make x the subject
x=(y+7) / 3
Find the hypotenuse of a right triangle with sides 6 cm and 8 cm.
10 cm
A coin is tossed twice. List all possible outcomes.
HH, HT, TH, TT. (All ordered outcomes for two tosses.)
Calculate the compound interest earned on $1000 at 5% p.a. for 2 years.
$1102.50
Find the volume of a cone with radius 4 cm and height 9 cm.
150.8cm3
Find the gradient of the line passing through (2, 5) and (6, 13)
Gradient = 2
Find the unknown angle if opposite = 5 and hypotenuse = 13.
22.61o
A scatterplot shows a downward trend. What type of correlation is this?
Negative correlation. (Downward trend.)
A car depreciates at 12% per year. Its initial value is $40,000. What is its value after 3 years?
$27258.88
The perimeter of a trapezium is 156cm. The length of trapezium 8 cm longer than the sides. Find the area of the rectangle in square centimetres.
35 cm2
Find the equation of the line that passes through these two points (2,5) and (4,9)
y = 2x + 1
A ladder 8 m long leans against a wall. The base is 3 m away. Find the angle of elevation.
67.98o
Two dice are rolled. What is the probability their sum is 7?
Six favourable outcomes out of 36
= 0.1667 or 1/6
A computer costs $1799 at Harvey Norman. The sales assistant has offered you a discount of 12.3%. What is the new price of the computer. Round to the nearest cent.
$1578.00
A sphere has a volume of 905 cm³. Find its radius (to 2 d.p.).
6.00cm
A line has gradient −2 and passes through (3, 4). Write its equation in the form y=mx+c
y = -2x + 10
A building casts a 20 m shadow when the angle of elevation of the sun is 35°. Find the height of the building.
Height = 14m
If the line of best fit is y=5x + 10, predict y when x = 8
y = 50