(x,y) Coordinates
Gradient
Trig/Pythag
Flags
100
Give the (x,y) coordinate of point A on the following graph:
(3,2)
100
Is the gradient of the following line positive, negative, zero, or undefined?
Negative
100
Find the length of the hypotenuse of this triangle to two decimal places:
c = 16.12cm
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
Give the (x,y) coordinate of point F on the following graph:
(-4,-6)
200
Which of the following lines shows an undefined gradient?
A
200
Which trigonometric ratio does NOT include the hypotenuse?
Tan/Tangent (since Tan = O/A)
200
Name the country starting with M from this flag:
Mexico
300
What is the y-intercept of the following line?
1 -- or the point (0,1)
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
300
Use your knowledge of trigonometry to find the size of angle xo
Answer to the nearest whole degree
tan(xo) = O/A = 4/7
Therefore tan-1(4/7) = x
Therefore x = 29.74o or 30o to nearest whole
300
Name the Scandinavian country from the flag
Norway
400
What is the equation of the following line?
y = -4
400
Find the gradient of the following line:
Use any 2 points to find rise/run
rise = -3
run =+1
m = -3/1 = -3
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
400
Name the only country in the world whose flag is non-rectangular (pictured)
Nepal
500
Does the coordinate point (3,6) lie on the line with the rule y = 2x + 1?
No - coordinate point should be (3, 7)
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
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 = xo
tan xo = 50/30
Therefore tan-1(50/30) = xo
Therefore xo = 59.04o
So angle of depression = 59o
500
Name the country starting with L from the flag
Laos