Standard level Math study guide

Ch1 Indices

100

Express the following in index form.
6*m*m*m

what is 6m³

200

Simplify the following.
7(ab³)²

what is 7a²b⁶

300

Evaluate the following,
(2a⁰)*(1/2)^-2

what is 8

400

Simplify the following using a combination of index laws. Express the answer using positive indices only.
(3y²/x⁵z^-3)² * x¹⁵/27

what is x⁵y⁴z⁶/3

500

The volume of Earth is 1083 billion cubic kilometres; that is 1,083,000,000,000 km³. Write this measurement using scientific notation.

what is 1.083*10¹²

Ch2 Sets and Venn Diagrams

100

Write in interval notation the real numbers between 17 and 21, inclusive

{x|17_<x_<21}

200

suppose U={x|x_<12,xE Z⁺} and A={prime numbers less than 12}
find--> A

A={2,3,5,7,11}

300

consider the sets U={x E Z⁺|x_<40}, A={factors of 40}, and B={factors of 20}

List the sets A and B

A={1,2,4,5,8,10,20,40}

B={1,2,4,5,10,20}