Pythagoras
Trigonometry
Algebra
Probability
Random
100

If a right-angled triangle has two short sides 4m and 3m in length how long is the hypotenuse?

5m

100

If the side opposite a 30 degree angle in a right-angled triangle is 20m long, how long is the Hypotenuse?

40m

100

3x = 18

Solve for 'x'

x = 6

100

What is the probability of flipping a head on a coin as a decimal?

0.5

100

What is the capital city of Australia?

Canberra

200

In a right-angled triangle with hypotenuse of 13m and a short side of 5m, how long is the other short side?

12m

200

If the side adjacent to a 50 degree angle in a right-angled triangle is 17cm long what is the length of the Opposite side?

20.26cm

200

4x - 2 = 22

Solve for 'x'

x = 6

200

Calculate P(even) as a fraction when rolling a six sided dye.

1/2

200

Who won the 2025 NRL premiership?

Broncos

300

A person has to walk half-way around a rectangular rugby field when the game is on.  The field is 120m long and 50m wide.  When the game is finished he cuts across the field diagonally from one corner to the other.  How much shorter is this short cut than walking around the outside?

40m

300

Jim needs to secure a tent pole to the ground with a guide wire.  If the tent pole is 2.4m tall and the guide wire makes an angle of 35 degrees with the ground, what length is the guide wire?

4.18m

300

Solve for 'x'

3x - 5 = 6x - 29

x = 8

300

Calculate as a fraction P(not less than 5) when rolling a six sided dye.

1/3

300

What is our school motto?

Strive to Accomplish

400

A 12cm tall cylinder with a radius 2.5cm of is used as a pencil holder.  What is the longest pencil that can fit in the holder without sticking out the end?

13cm

400

A bicycle jump is shaped like a right-angled triangle lying on the hypotenuse.  If the entry to the jump has an angle of incline of 20 degrees and the ramp is 100m long how long is the landing ramp?

36.40m

400

*** Daily Double ***

At what co-ordinate will these two lines cross?


y = 3x + 7

y = 5x + 2

(2.5, 14.5)

400

Calculate P(Green) as a fraction of selecting a marble from a bag of marbles containing 7 white, 3 black and 5 green marbles after Steve pulls a white marble, Max pulls a white marble and Jackie pulls a green marble without replacement.

1/3

400

What is the height of Mt Everest?

8848m

500

If a radar site locates a stationary enemy helicopter North of the radar location, hovering at an angle of 13 degrees above the ground at a height of 500m and they relay the details to their SAM missile site which is 1km north of the radar site, what distance will the missile have to travel to hit the helicopter target? 

1268.44m

500

Two boats start at the same tropical island jetty.  Boat A heads 7km on a bearing of 045 and boat B takes a heading of 210 for 11km before they both anchor. Calculate the straight line distance they are apart?

14.49km

500

If Penny pays $38 for 3 coffees and 5 muffins at the same coffee shop where Ken pays $44 for 6 coffees and 2 muffins, calculate the cost of a coffee and muffin.

Coffee = $6, Muffin = $4

500

If James rolls a dye 10 times and gets the results below, calculate the experimental probability of him getting not at most a three.

1,1,2,3,4,4,4,5,5,6

3/5

500

There is an empty recycling bin 2 metres long, 1 metre wide, and 1 metre high. How many square 1-metre sided, and 5cm thick plywood sheets will it take before the bin is no longer empty?

1.  After it has one in it, the bin is no longer empty!