Perfect Squares
Square Roots
Pythagorean Problems
Word Problems
Number Sense
100

Which one of the numbers is a perfect square? 56, 72, 17, 64, 48, 32

64

100

Between which two whole numbers is the square root of 31?

5 and 6

100

Given legs 3 and 4, what is the hypotenuse?

5

100

Rachel bought a rug for her house. The length is 7m, and the width is 24m. What is the diagonal length of the rug?

25m

100

What is the square root of 64 minus the square root of 25?

3

200

What is the perfect square of 13?

169

200

Estimate square root of 72 to one decimal place

8.4- 8.7

200

If hypotenuse is 25 and one leg is 7, find the other leg

24

200

Spongebob is driving home from work. He drives 15 km north, and then 19 km east. What is the distance of the shortest route to get home? (Nearest tenth)

24.2 km

200

What is 62 + the square root of 400?

56

300

True or False — both 100 and 900 are perfect squares.

True

300

Estimate the square root of 158

14.6-14.8

300

A triangle has legs of 16 and 63, and a hypotenuse of 65. Is this a right triangle?

Yes

300

2 buildings beside each other. One is 56 meters high, the other is 43 meters high. They are 10 meters apart from each other. What is the distance between the rooftops of the buildings? (Nearest tenth)

16.4 meters

300

What can you add to 725 to make it a perfect square?

4

400

What number in between 300 and 350 is a perfect square?

324

400

What is the square root of 841? (Hint it is a perfect square)

29

400

A triangle has legs of 48 and 55, and a hypotenuse of 74. Is this a right triangle?

No

400

A park wants to install lighting cables from the southeast corner of the park to the northwest corner of the park.

Along the walkway: 150 m north, then 190 m west, at $15/m.

Direct underground route: $20/m. Which option is cheaper?

Direct Underground Route

400

Gru thinks the square root of a number is 9.4. What number do you think he's talking about? 

88-92

500

A square has an area of 121. What is the side length of the square, as well as the perimeter?

11, 44

500

What is the square root of 3025? (Hint it is a perfect square)

55

500

One side of a right triangle is 8 cm and the other side is 15cm. Draw sketches to show that there are TWO possible triangles, and label all the sides appropriately. Solve for the missing side. (cm measurements do not have to be accurate)

Teacher check answers. Hypotenuse should be 17

500

A boat travels 16 km west from a dock, then 11 km north, then 7 km east, and then heads straight back to the dock. How far does it travel in total? (nearest tenth)

48.2

500

What is the square root of 1156 minus the square root of 729?

7