Ratios
Similar Triangles/Scale Factor
Pythagoras Theorem
Trigonometry
100

Simplify the following ratio;

12:16

3:4

100

Calculate the scale factor if these similar triangles

24/8 = 3

100

What is Pythagoras Theorem?

a2+b2=c2

100

In SOH CAH TOA, what does the CAH stand for?

cos0=adj/hyp

200

simplify the following ratio;

32:88

4:11

200

Calculate the length of u.

u = 2

200

Calculate the length of x

x = 10

200

Which Trigonometry ratio would be used to calculate the length of p?

cos0=adj/hyp

300

If 4 apples cost 58 cents. How much would 10 apples cost in dollars and cents? 

$1.45
300

Calculate the unknown length x. 

x = 30

300

Calculate the length of y (round to 2 decimal places).

y = 8.94

300

13 x tan27

AC = 6.62cm

400

In a bag of clinkers there are yellow, pink and green at a ratio of 4:6:5. If there are 18 pink clinkers, how many yellow clinkers would there be? 

12 yellow clinkers.

400

Calculate the scale factor between triangle PSQ and triangle RSQ. 

20/16 = 1.25

400

A ladder is leaning against the top of a 5.2m wall. the base of the ladder is 1.8m away from the base of the wall. How long is the ladder? (round to 2 decimal places). 

Ladder is 5.50m

400

Calculate the length of unknown angle z.

angle z = 32.01 degrees. 

500

A Kennel has 65dogs in total, some are puppies and some are adult dogs. the ratio of puppies to adult dogs is 3:2. How many adult dogs are there?

26 adult dogs. 

500

Calculate the length of x. 

12 x 1.25 = 15

500

A post has a diagonal support holding it in place. The support is 3.2m long and is 280cm away from the post? how tall is the post? (round to 2 decimal places). 

post is 1.55m tall

500

A rescue helicopter spots a missing surfer drifting out to sea on his damaged board. The helicopter descends vertically to a height of 19m above sea level and drops down an emergency rope, which the surfer grips. Due to the wind, the rope swings at an angle of 27° to the vertical, as shown in the diagram. What is the length of the rope? 

length of rope = 21.32m