Square Roots
Cube Roots
Roots
Pythagorean Theorem
Decimals and Fractions
100

Find x.

x2 = 36

6 and √ 36

100

Find x. 

x3 = 1

1 and 3√1 

100

Which whole number is this root in between?

√20

4 and 5

100

Two sides of a triangle are 3, and 4. Find the missing hypotenuse in the triangle. 


5

100

What is 17/2 as a decimal?

8.5

200

Find x. 

x2 = 100

10 and √100 

200

Find x. 

x3 = 1000

10 and 3√1000

200

Which whole number is this root in between?

√2

1 and 2

200

Two sides of a right triangle are √15 and √3. Find the missing leg.

√12

200

What is 2/9 as a decimal?

0.22222.....

300

Find x.

x= 81

9 and √81

300

Find x. 

x3 = 64

4 and 3√64

300

Which whole number is this root in between?

√67

8 and 9 

300

Find the exact distance between the two points.

(1, 1) and (5, 6)

√41

300

What is 0.78888888888... as a fraction?

71/90

400

Find x. 

x2 = 225

15 and √225

400

Find x.

x3 = 729

9 or 3√729

400

Which whole number is this root in between?

3√20

2 and 3

400

Find the exact distance between the two points.

(-5, -3) and (5, 6)

√181

400

What is 0.244444444... as a fraction?

22/90

500

Find x. 

x2 = 289

17 and √289

500

Find x.

x3 = 512

8 or 3√512

500

Which whole number is this root in between?

3√254

6 and 7 

500

Bob wonders how much water it would take to fill his cup. He drops his pencil in his cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm tall. How much water can the cup hold? Explain or show your reasoning.

240pi

500

What is 0.7555555555555... as a fraction?

68/90

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