Term 4 Maths Exam Revision

Simple Interest

100

Simple interest formula?

I = Pin/100

200

Total amount formula?

A = P + I

300

What is the interest made on a $500 investment at 5.6% over 2 years?

$56

400

What is the interest for $200 at an interest rate of 2% per month for 2 years. 

I=PRT

I=200x0.02x12x2

I=96

500

What is the total amount on an investment of $25000 at 2.45% after 3 years?

$26837.50

Formulas

100

Simple interest

I = PRT

200

a^m x aⁿ

a^m+n

300

Direct proportion formula 

y=kx

400

(a^m)ⁿ = 

a^{m x n}

500

a⁰ =

1

Error

100

Draw High accuracy, Low Precision 

Target with scattered dots, all around the middle

200

Draw Low accuracy, High precision 

Target with dots not in the middle but a tight cluster

300

What is systematic error

occurs with the same value, when we use the instrument in the same way (e.g. calibration error) and in the same case. This is sometimes called statistical bias.

400

what is random error

Random error (or random variation) is due to factors which cannot, or will not, be controlled. Random error often occurs when instruments are pushed to the extremes of their operating limits.

500

True value of a coin is 2.36cm, but you measured it as 2.7 cm. Calculate the percentage error 

= (measured value - true value)/true value

=(2.7-2.36)/2.36

=14%

Scientific Notation

100

Write as decimal form: 1.45 x 10⁶

1450000

200

Write 4.5 x 10^-4 decimal form

0.00045

300

Write 0.0000567 in scientific notation

5.67 x 10^-5

400

Write 123456789 in scientific notation form

1.23456789 x 10⁸

500

1.23 x 10⁵ x 2.54 x 10⁴ = 

Write in simplest scientific notation form 

3.1242 x 10⁹

Index Laws

100

y⁵ x y¹⁰ = 

y¹⁵

200

10⁰ = 

1

300

4³ x 4¹³ = 

4¹⁶

400

Simplify 4h³ x 2h⁷

8h¹⁰

500

25g¹⁰k⁵  /  5g²k³  =

5g⁸k²