Year 9 Maths Trivia - T2W9

(x,y) Coordinates

100

Give the (x,y) coordinate of point A on the following graph:

(3,2)

200

Give the (x,y) coordinate of point F on the following graph:

(-4,-6)

300

What is the y-intercept of the following line?

1 -- or the point (0,1)

400

What is the equation of the following line?

y = -4

500

Does the coordinate point (3,6) lie on the line with the rule y = 2x + 1?

No - coordinate point should be (3, 7)

Gradient

100

Is the gradient of the following line positive, negative, zero, or undefined?

Negative

200

Which of the following lines shows an undefined gradient?

A

300

Find the gradient of the following line:

m = rise / run

rise = 1 to 5 = +4

run = 2 to 4 = +2

4/2 = 2

Gradient =  2

400

Find the gradient of the following line:

Use any 2 points to find rise/run

rise = -3

run =+1

m = -3/1 = -3

500

The points (0,0) and (1,4) lie on the same line.

What is the gradient of that line?

Rise = 0 to 4 = +4

Run = 0 to 1 = +1

m = 4/1 = 4

Trig/Pythag

100

Find the length of the hypotenuse of this triangle to two decimal places:

c = 16.12cm

200

Which trigonometric ratio does NOT include the hypotenuse?

Tan/Tangent (since Tan = O/A)

300

Use your knowledge of trigonometry to find the size of angle x^o

^{Answer to the nearest whole degree}

tan(x^o) = O/A = 4/7

Therefore tan^-1(4/7) = x

Therefore x = 29.74^o or 30^o to nearest whole

400

Find the length of the hypotenuse of the larger triangle
Hint: This will require finding side b first!

10²-8² = 36
Sqrt(36) = 6
b = 6m

Therefore c² = 6² + 17² = 325
sqrt(325) = 18.03m or 18m rounded to nearest whole

500

Use the following diagram and your knowledge of trigonometry to find the angle of depression (blue) from the person on top of the building to the person on the ground. 

Blue angle = orange angle

Let orange angle = x^o

tan x^o = 50/30

Therefore tan^-1(50/30) = x^o

Therefore x^o = 59.04^o

So angle of depression = 59^o

Flags

100

What do each of the 3 colours of the Aboriginal flag symbolise?

The black is for the People.
The red is for the Earth.
The yellow is for the Sun.

200

Name the country starting with M from this flag:

Mexico

300

Name the Scandinavian country from the flag

Norway

400

Name the only country in the world whose flag is non-rectangular (pictured)

Nepal

500

Name the country starting with L from the flag

Laos