Negative Index
Mixed Index Laws
Simplifying Surds
Surds Arithmetic
Riddles
100

3^0

1

100

Write as a power of x

x^(3)\times x^(4)

x^(7)

100

\sqrt40 

2\sqrt10

100

(sqrt5)^2

5

100

What has hands but cannot clap?

A clock

200

xy^-1

x/y

200

Simplify

(m^2)^5

m^10

200

3\sqrt8

6\sqrt2

200

\sqrt6\times \sqrt10

2\sqrt15

\sqrt60

200

The more you take, the more you leave behind. What am I?

Footsteps

300

2x^-2\times 3x^-1

6x^-3

6/x^3

300

Simplify

a^9/(a^3)

a^(6)

300

5\sqrt7-3\sqrt7

2\sqrt7

300

(3\sqrt10)/\sqrt5

3\sqrt2

300

What gets wetter the more it dries?

A towel.

400

(2m^4n^-2)^4

16m^16n^-8

16m^16/n^8

400

Simplify

(6x^(7))/ (2x^(3))

3x^4

400

7\sqrt6+5\sqrt3-4\sqrt6-7\sqrt3

3\sqrt6-2sqrt3

400

\sqrt6(\sqrt8-1)

\sqrt48-2\sqrt2

4\sqrt3-\sqrt6

400

I’m tall when I’m young and short when I’m old. What am I?

A candle

500

(10x^2y^-2)^3\div(2x^-1y^3)^2

250x^8y^-12

250x^8/y^12

500

((2x^3)^2 x^4)/(4x^5)

x^5

500

\sqrt27+\sqrt75-\sqrt48

4 \sqrt3

500

(\sqrt6-1)(\sqrt6+1)

5

500

A man leaves home, turns left three times and returns home to find two masked men waiting for him. Who are they?

The catcher and umpire — he is playing baseball

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