Trigonometry
Pythagoras' Theorem
Percentages
Interest
Maths Facts
100

What rule do you use to find an angle if you know the adjacent and the opposite sides?

tan(theta)=opp/adj

100

What is Pythagoras' Theorem?

c2=a2+b2

100

What is 40% of 70?

28

100

What is the simple interest formula?

I =(Prt)/100

100

How many meters are 3.4kms?

3400m

200

Theta= sin-1(?/hyp)

opposite

200

If the two short sides of a triangle are 3 and 4, what is the hypotenuse?

5

200

Decrease 120 by 25%.

90

200

If $240 is invested at a rate of 5%p.a. for 9 years, how much interest is earned?

$108

200

What is the formula for the area of a circle?

A=2 x pi x r2

300

What do all of the angles inside a triangle add to?

1800

300

If a triangle has two sides equal to 3m, how long will the fourth side have to be for the triangle to be a right-angle triangle?

4.24m

300

What percentage of 80 is 16?

20%

300

If $3400 is invested at 4.32%, how much money will be in the account after 10 years?

$4838.20

300

What is the first three digit square number?

100

400

If the hypotenuse of a triangle is 16m and the adjacent if 4m, what is the unknown angle?

75.520

400

If one triangle has two short sides, one of 5m and one of 3m, and another has two short sides both 4m each, which has the longer hypotenuse?

5m and 3m triangle.

400

A store has bars off soap on sale for 20% off and then mark them down a further 10%, what is the new sale price if they were originally $3.20 each?

$2.30

400

How long will I have to invest $60 into an account earning 2.3%p.a. if i want to end up with twice my money in my account?

43.48 years.

400

The number pi and the angle theta are represented using letters of which alphabet?

The greek alphabet?

500

If a triangle has an angle of 40and an opposite side of 15.4m, how long is the hypotenuse of the angle?

23.96m

500

What is Pythagoras theorem rearranged so that it is a=?

a=sqrt(c2-b2)

500

If two stores are having a sale on toothpaste. Both typically sell the toothpaste for $3 a tube. Store A has 30% off and then an extra 10% off. Store B has 20% off and then an extra 20% off. Which store has the best deal?

Store A

500

Which account should I invest my money in to earn the most interest? An account earning 4.3% p.a. for 4 months, or and account earning 5.2% p.a. for 3 months?

4.3% p.a. for 4 months.

500

What is the name of the branch of Mathematics that involves shapes?

Geometry.