Index Laws
Negative Indices
Scientific Notation
Significant Figures
Surds
Random
100
Solve the following:
1. a4 × a3
2. b6 ÷ b2
3. (y3)6
1. a7
2. b4
3. y18
100
Simplify
x-7 ÷ x-3
x-4 or 1/x4
100
Scientific notation has the form a × 10m. What are the conditions placed on the values of a?
a is a number greater than/equal to 1 and less than 10
100
State the number of significant figures in this number:
508
3 significant figures
100
Simplify: 7√5+2√3-5√5+3√3
2√5+5√3
100
What is a group of flamingoes called?
A Flamboyance
200
Simplify: 2x7 × 7x3
14x10
200
Express the following using positive indices.
9ab-3
(9a)/(b^3)
200
Express this number in scientific notation.
13 700 000 000
1.37 × 1010
200
State the number of significant figures in this number:
0.00019
2 significant figures
200
Simplify √45
3√5
200
What is the smallest country in the world?
Vatican City
300
Simplify: -(9xy)0
-1
300
Write with a negative index
1/(2^3)
2-3
300
Express this number in scientific notation
0.000 000 61
6.1 × 10-7
300
State the number of significant figures in the number:
3.1500
5 significant figures
300
Simplify: 2√75+2√3
12√3
300
How many hearts does an octopus have?
3
400
Simplify:
(6a^7b^5)/(3a^2b^4)
2a5b
400
ab-5c3 is equal to
(ac^3)/b^5
400
Express this number in decimal form.
8.5 × 104
85 000
400
Write this number using scientific notation to three significant figures.
0.00034276
3.43 × 10-4
400
Solve: (3√5)2
45
400
What is the name for the plastic or metal tube found on the end of shoelaces?
Aglet
500
Simplify
(2a3b4c)2
4a6b8c2
500
Express with positive indices
(4a-6)-2
a^12/16
500
Express this number in decimal form
9.31 × 10-6
0.000 009 31
500
Write this number in scientific notation to three significant figures:
2 186 000
2.19 × 106
500
Simplify: √2 (3-√3)-√8
√2-√6
500
How many noses does a slug have?
4
600
Simplify the following:
x10y5c
600
What is the value of x:
5^x=1/625
x=-4
600
Two planets are 2.8 x 108km and 1.9 x 109km from their closest sun. What is the difference between the two in scientific notation?
1.62 x 109km
600
Use a calculator to evaluate the following, leaving your answer in scientific notation correct to 5 significant figures.
sqrt8756
9.3574 x 101
600
Find the perimeter of the shape:
4√3+2√5 cm
600
In Pitch Perfect, what is Fat Amy's real name?
Patricia