Prime factorize 164 to show whether it's a perfect square
2 x 2 x 41....nope, not a perfect square
100
What two perfect squares are used to estimate the square root of 94?
81 and 100
100
A right triangle has side lengths of 6cm, 10cm and 8cm. Which side is the hypotenuse?
10 cm
100
A right triangle has interior angles that measure 15, 75 and 90 degrees. Which angle corresponds to the shortest side?
15 degree angle
100
Give 2 examples of a Pythagorean Triple
3, 4, 5
6, 8, 10
9, 12, 15
12, 16, 20
15, 20, 25
200
What are the perfect squares between one and 300 that end with a 5?
25, 225
200
7.1 is an acceptable estimate for the square root of this number
50 or 51
200
What is the size of the angle opposite the hypotenuse?
90 degrees
200
A right triangle has a hypotenuse that measures 10 cm and a leg that measures 8 cm. What is the length of the other leg?
6 cm
200
A triangle is constructed using perfect squares with an area of 2cm2, 3cm2 and 4cm2. Is this triangle a right triangle? SHOW HOW YOU KNOW.
2cm2 + 3 cm2 does not equal 4 cm2
300
The square root of 196
14
300
What 2 perfect squares are used to estimate the square root of 230?
225 and 256
300
A right triangle has legs that measure 18 cm and 24 cm. What is the hypotenuse?
30 cm
300
3 perfect squares are joined together to form a right triangle. The area of the two larger perfect squares are 144cm2 and 169cm. What is the length of the side of the smaller square?
5cm
300
A triangle is constructed by joining the vertices of 3 squares that have a side length of 10, 24, and 26cm. Is this a right triangle? SHOW HOW YOU KNOW
a2 + b2 = c2
10^2 + 24^2 = 26^2
100 + 576 = 676
YEP, IT'S A RIGHT TRIANGLE
400
This perfect square has a square root that is also a perfect square. What is it?
81
400
Estimate the square root of 123
What is 11.1?
400
The squares of the legs of a right triangle are 81cm2 and 144cm2. What is the hypotenuse?
15cm
400
In the triangle labeled ABC, side A is the shortest side. Side B is 12 cm and the square of side C is 225cm2. What is the length of side A?
9cm
400
Farmer Watson wants to build a fence around her garden that is a right triangle. The 2 shortest sides of the garden measure 24m and 32m. If each fence panel is 2 m in length, how many fence panels will she need to surround the perimeter of the garden?
48 fence panels are needed
500
Give 3 perfect squares (excluding 9) who's digits add up to 9
36, 81, 144, 225, 324,
500
What is the midpoint of the two perfect squares used to estimate the square root of 19?
20.5
500
A right triangle has 2 legs with lengths of 12 and 5. What is the hypotenuse?
13
500
A right isosceles triangle has a hypotenuse that measures 12 cm. Estimate the length of one of the legs.
Any answer between 8.3-8.7 is acceptable.
500
A boat with tourists leaves the harbour in Kauai traveling 30km/h and heads north for 1 hours. It then sharply turns and travels west for 2 hours at a speed of 20km/h. It then stops and drops it's anchor for an afternoon of snorkelling. How far is the boat from the harbour?