The Pythagorean Theorem

Exponents (No Calculator)

100

What is 7²? 

49

200

What is 12²?

144

300

What is 5³?

125

400

What is 8³?

512

500

What is 2⁷?

128

Square Roots (No Calculator)

100

What is the square root of 36?

6

200

What is the square root of 81?

9

300

What is the square root of 121?

11

400

What is the square root of 4?

2

500

What is the square root of 225?

15

Estimating Square Roots

100

Estimate the square root of 24

4.6 - 4.9

200

Estimate the square root of 90

9.3 - 9.6

300

Estimate the square root of 6

2.3 - 2.6

400

Estimate the square root of 55

7-3 - 7.6

500

Estimate the square root of 73

8.4 - 8.7

Basic PT Questions (Calculator - Nearest Tenth)

100

A = 8

B = 12

c = ?

C = 14.4

200

A = 17

B = 4

C = ?

C = 17.5

300

A = 7

B = ?

C = 18

B = 16.6

400

A = ?

B = 9

C = 11

A = 6.3

500

A = 3.7

B = 7.1

C = ?

C = 8

Word Problems

100

Saige rushes in from recess in a panic and has an urgent question for Mai: If the following triangle has these dimensions, is it right angled??? Help!

A = 3cm

B = 8cm

C = 9cm

Mai calmly responds, no, it is most definitely not!

200

Zade Friesen walks around the perimeter of a right triangle walking path 12 times. If the two legs have measurements of 30m and 45m, what is the distance of the hypotenuse and how far did he walk altogether?

Hypotenuse = 54m

Total Distance = 1548m

300

James walks from one corner of a rectangular classroom to the other to ask the teacher what they are doing for science (this was the 3rd time he asked). If the classroom dimensions are 10m by 9m, how far did James walk to learn that he would "find out what they are doing" at the same time as the rest of the class?

James walked 13.5m to not get his question answered.

400

Four students sit in each of the 4 corners of a rectangular classroom that measures 12m long and 8m wide. One of the students, Korbin, whispers "6-7" while doing a goofy hand gesture, but only the two closest students hear him. How far away is the student that didn't hear anything at all?

The furthest student is 14.4m away from Korbin.

500

Layla gets her hat stuck in a tree. Melia says she likely won't be able to jump and get it, but Layla simply responds by saying "trust." If the diagonal distance from the hat to a spot 5 ft from the base of the tree on the ground is 8ft, how high will Layla need to jump to get her hat, and is it or is it not a scam?

Layla will need to jump 6.3 feet to get her hat out of the tree.