Pythagoras Theorem
What letter is used to represent the hypotenuse when using Pythagoras?
c
How do you write a point on the cartesian plane?
(x, y)
What are the three rules used in trigonometry?
sine, cosine, tangent (accept sin cos tan)
A square has an area of 16m2. What is the side length?
4m
How do you convert metres to centimetres?
Multiply by 100
A right-angled triangle has two smaller sides of 6cm and 4cm. What is the length of the hypotenuse to 1dp?
7.2cm
What letter is used to represent the gradient between two points?
m
What button do you need to press on your calculator when finding unknown angles?
SHIFT
A triangle has two equal sides of 10cm and a Perimeter of 32cm. What is the length of the third side?
12cm
Solve x ÷ 5 = 7
x=35
A right angled triangle has a hypotenuse of length 12m and another side of 8m. What is the length of the other side to 1dp?
8.9m
When finding the distance between two points, what rule are we applying?
Pythagoras theorem
Pythagoras only involves side lengths of right-angled triangles, but Trigonometry also includes angles.
Also accept: When we have two known sides and an unknown angle OR one known side and angle and one unknown side
Three times a number take away 4 gives 11. What is the number?
5
Which is the largest?
A ladder leaning against a vertical wall reaches 4m up the wall. If the foot of the ladder is 3m away from the base of the wall, how long is the ladder?
5m
Find the midpoint of the line AB when A is point (9, -3) and B is point (-5, 7)
(2, 2)
A right-angled triangle has an unknown angle with opposite side of length 20cm and hypotenuse of 35cm.
Find the unknown angle to the nearest degree.
35 degrees
I mix 1 part blue, 2 parts red and 3 parts white. To create a special colour.
If I use 250mL of blue how many mL of red will I use
500mL
Expand 3(x+7).
3x+21
A rectangle has a side length of 5cm and diagonal of 13cm. What is the other side length?
12cm
Two hikers are about to hike from point A to point B. On their map:
A is (12km West, 5km South)
B is (7km East, 4km North)
Calculate the straight-line distance between the two points to 2dp.
21.02km
Humphrey is flying a kite.
The handle is held 80cm above the ground. The kite is on a string which is 8m long. The string makes an angle of 63° with the horizontal.
Calculate the height of the kite above the ground in metres to 1dp.
7.9m
Connor travels between two towns 130km apart. The drive there took 1 hour 30 minutes. The drive back took 1 hour 45 minutes.
What was Connor's average speed?
80km/hr
An empty mug has a mass of 200g and a capacity of 500 mL. A millilitre of water has a mass of 1g. What is the total mass of a mug if it contains 111mL of water?
311g