Show:
Perfect Squares
Square Root
Estimating Squares
Estimating Square Roots
Problems
100

What is the smallest perfect square?

1 or 0 is acceptable as an answer.

100

What is the square root of 36?

6

100

What is the approximate square of 3.1?

it's around 9 -->  3 x 3 = 9

100

What is a good estimate of the square root of 7?

50      or     2.6

2.6 --> fifty is close to the SQUARE of 7

100

The area of a square is 9.  What's it's side lengths?

3

200

What perfect square is between 40 and 50?

49

200

What is the square root of 196?

14

200

What is the approximate square of 3.9?

it's about 16 --> 4 x 4 = 16
200

What is a good estimate of the square root of 20?

4     or     4.5     or     5     

4.5 is the closest

200

The area of a square is 9.  What's it's perimeter?

12

300
How many perfect squares are between 50 and 90?

two --> 64 and 81

300

What is the square root of 400?

20

300

What is the approximate square of 5.5?

about 30 -->  5 x 5 = 25 and 6 x 6 = 36, so 30 is inbetween (their answer can be anywhere between 25 and 36)

300

What is a good estimate of the square root of 60?

7.7     or     8.7

7.7  -->  8.7 is too big

300

What is the approximate radius of a circle that has an area of 60?

4.5 -->  if we divide 60 by 3 (which is about pi) we get 20.  The square root of 20 is about 4.5.

400

Which of the following is NOT a perfect square?

441     494      529      576

494 

400

What number has a square root of 4?

16

400

What is the approximate square of 1.5?

it's about 2 -->  1 x 1 = 1 and 2 x 2 = 4 (any guess between 1 and 4 is acceptable)

400

What is a good estimate of the square root of 151.75?

12     or     12.3     or     12.8

12.3 -->  it's more than 144  but a lot less than 169

400

What is the square of the difference between 9 and 5?

16 -->  (9 - 5)2

500

How many perfect squares are there between 100 and 200?

Four - 121, 144, 169, 196

500

What number has a square root of 16?

256 -->  it's 16 x 16

500

What is the approximate square of 4.32?

about 20 --> 4 x 4 = 16
                    4 x 5 = 20
                    5 x 5 = 25

(anywhere between 16 and 25 is good)

500

What is a good estimate of the square root of 1000?

between 20 and 30
between 30 and 40
between 40 and 50
more than 50

between 30 and 40 -->  30 x 30 = 900
                                    40 x 40 = 1600

500

What is approximate sum of the square of 5.7 and the square root of 5.7?

5.7 x 5.7 is about 32.5
square root of 5.7 is about 2.4

So, the sum is about 35