Pythagorean Theorem
In the Pythagorean Theorem formula a2 + b2 = c2, which letter represents the longest side of the triangle?
A recipe uses 2 cups of flour for every 1 cup of sugar. What is the ratio of flour to sugar?
2:1
If a car travels at a constant speed of 60 km per hour, how far will it travel in 3 hours?
180 km
A right triangle has legs with lengths of 3 cm and 4 cm. What is the value of a2 + b2?
25
What is the specific name of the angle that must be present in a triangle for the Pythagorean Theorem to work?
Right Angle
A right triangle has legs that are 5 cm and 12 cm long. What is the length of the hypotenuse?
13 cm
A pack of 5 pencils costs $2.50. What is the unit rate (price per one pencil)?
$0.50 per pencil.
Saron ran 400 metres in 80 seconds. What was her average speed in metres per second?
5 m/s
A triangle has leg lengths of 8 m and 15 m. How long is the side opposite the right angle?
17 m
Which is faster: 100 metres in 10 seconds or 240 metres in 30 seconds?
100 metres in 10 seconds
The hypotenuse of a right triangle is 10 cm and one leg is 6 cm. What is the length of the other leg?
8 cm
If 3 apples cost $4.50, how much would 7 apples cost?
$10.50
A map has a scale where 2 cm represents 50 km. If two cities are 10 cm apart on the map, what is the actual distance?
250 km
A 13-metre ladder is leaning against a wall. The bottom of the ladder is 5 metres from the base of the wall. How high up the wall does the ladder reach?
12 m
On a fruit stand, the ratio of oranges to apples is 3:5. If there are 45 apples, how many oranges are there?
27 oranges
To get to school, Jamie walks 600 metres North and then 800 metres East. If Jamie could walk in a perfectly straight diagonal line, how many metres would the trip be?
1, 000 m
A printer can print 12 pages in 30 seconds. How many pages can it print in 5 minutes?
120 pages
Johan uses 5 kg of flour to make 8 loaves of bread. How much flour is needed to make 20 loaves?
12.5 kg
A rectangular TV screen has a width of 24 inches and a height of 7 inches. What is the diagonal length of the screen?
25 inches
A shadow of a 2-metre tall stick is 3 metres long. At the same time, the shadow of a tree is 15 metres long. How tall is the tree?
10 metres
A ship sails 30 km South and then 40 km West. It then sails another 10 km South. How far is the ship from its starting point in a straight line?
56.6 km
Brand A sells 400g of cereal for $4.80. Brand B sells 600g of the same cereal for $6.60. Which is the better buy based on the price per 100g?
Brand B
A faucet leaks water at a rate of 15 mL every 2 minutes. How many litres of water will leak in 24 hours?
10.8 Litres
Does a triangle with side lengths of 7 cm, 24 cm, and 26 cm form a right-angled triangle? Prove why or why not.
No. Pythagorean Theorem doesn't give the third side length.
You have a box that is 3 cm wide, 4 cm long, and 12 cm high. What is the length of the longest pencil that can fit diagonally inside the box (from a bottom corner to the opposite top corner)?
13 cm