Year 9 Maths

Trigonometry

100

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

tan(theta)=opp/adj

200

Theta= sin^-1(?/hyp)

opposite

300

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

180⁰

400

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

75.52⁰

500

If a triangle has an angle of 40⁰ and an opposite side of 15.4m, how long is the hypotenuse of the angle?

23.96m

Pythagoras' Theorem

100

What is Pythagoras' Theorem?

c²=a²+b²

200

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

5

300

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

4.24m

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.

500

A 7m ladder is leaning against a building and makes an angle of 47^o with the ground. If the distance from the foot of the ladder to the building is 4m, how long is the ladder? Answer to 2 dp

5.87m

Percentages

100

What is 40% of 70?

28

200

Decrease 120 by 25%.

90

300

What percentage of 80 is 16?

20%

400

A store has bars of 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

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

Indices/ Data

100

Evaluate 6⁴

1296

200

Find the mean of 4,5,8,3,6,6,7,8,11,13,21,2 

Find the Median

Find the Mode

Answers to 2 dp

Mean = 7.83

Median = 6.5

Mode = 6

300

Evaluate 2a³c⁴ x 3a²b⁵c⁶

6a⁵b⁵c¹⁰

400

Calculate 35.34 x 61.52 to 2 dp

2174.12

500

Who won the 2024 Goulburn Valley Football League Final

echuca

Facts

100

How many meters are 3.4kms?

3400m

200

Who is the president of the USA

Donald Trump

300

Who is the current Pope

leo xiv

400

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

The greek alphabet?

500

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

Geometry.