Perimeter & Area
A square has a side length of 8 cm. What is its area?
Area = side × side = 8 × 8 = 64 cm²
A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?
10 cm
In a right triangle, θ=45∘ and the adjacent side is 7 inches. Find the opposite side.
7 inches
The diameter of a circle is 12 cm. What is the radius?
I have no edges, no corners, but I always roll with the best crew. I’m totally round in every way. What am I?
A circle
A rectangle is 10 meters long and 6 meters wide. What is its perimeter?
32 meters
A right triangle has one leg of 9 meters and a hypotenuse of 15 meters. What is the length of the other leg?
12 meters
In a right triangle, the angle θ=30∘ and the hypotenuse is 10 cm. Find the length of the side opposite side.
5 cm
The radius of a circle is 8 inches. What is the diameter?
16inches
If a spider has 8 legs and there are 4 spiders in the room, how many legs are there in total?
32 legs in total
A triangle has a base of 12 cm and a height of 5 cm. What is its area?
30 cm²
The legs of a right triangle measure 5 ft and 12 ft. Find the hypotenuse.
13 feet
In a right triangle, the opposite side is 4 cm and the hypotenuse is 5 cm. Find angle θ.
53.13
Find the area of a circle with a radius of 7 cm.
153.94 cm2
There are 3 cats in a room. Each cat catches 3 mice in 3 minutes. How many mice are caught in 9 minutes by all the cats?
27 mice
(Each cat catches 3 mice every 3 minutes. So, in 9 minutes, each cat will catch 9 mice, and with 3 cats, that’s 9 × 3 = 27 mice.)
A trapezoid has bases of 10 cm and 6 cm, and a height of 4 cm. What is its area?
Area = ½ × (base₁ + base₂) × height = ½ × (10 + 6) × 4 = 8 × 4 = 32 cm²
A ladder is leaning against a wall. The base of the ladder is 7 feet away from the wall, and the ladder reaches a height of 24 feet. How long is the ladder?
25 feet
What are the three trigonometric functions?
Sine, cosine, and tangent
What is the circumference of a circle with a diameter of 12 inches?
37.70 inches
A cow, a horse, and a chicken are running a race. If the cow is 10 feet ahead of the horse and the horse is 5 feet ahead of the chicken, how many feet is the chicken behind the cow?
15 feet
What is the perimeter of a square with a side length of 15 inches?
Perimeter = 4 × side = 4 × 15 = 60 inches
In a right triangle, the hypotenuse is 17 inches and one leg is 8 inches. Find the other leg.
15 inches
What can you use trigonometric ratios to solve for?
Missing side lengths and angle measures
A circle has a radius of 9 cm. What is its circumference?
56.55cm
A frog is on one side of a river. It hops 5 feet forward, then hops 2 feet backward. How many hops does it take for the frog to cross a river 30 feet wide?
10 hops
(After each hop, the frog moves a net of 3 feet forward (5 feet forward, 2 feet back). To cover 30 feet, it would take 30 ÷ 3 = 10 hops.)