9 Maths Term 1

Simple Interest

100

What does i stand for in the rule I=Pin?

Interest rate (as a decimal)

200

Jamie borrows $12000 for 6 years at 3.45% p.a. What is P?

12000

300

Jamie borrows $12000 for 6 years at 3.45% p.a. What is i?

0.0345

400

Jamie invests $12000 for 6 years at 3.45% p.a. How much interest does she earn?

$2484

500

Gloria borrows $7000 for 5 years at 8% p.a. How much will she owe in total?

$9800

Index Laws 1-3

100

3⁰ =

1

200

a³ x a⁴ =

a⁷

300

5x⁰ =

5

400

8g⁴/4g = 

2g³

500

4d³ x 5d² x 3d = 

60d⁶

Index Laws 4-7

100

(b³)⁴ =

b¹²

200

(a²b)³ =

a⁶b³

300

(j⁴ / k³)⁵ =

j²⁰ / k¹⁵

400

Write a^-4 with positive indices

1 / a⁴

500

Write 2y^-4z³ with positive indices

2z³ / y⁴

Scientific Notation

100

Write 200000 in scientific notation

2x10⁵

200

Write 0.000236 in scientific notation

2.36x10^-4

300

Express 4.7x10⁶ in decimal notation

4700000

400

Express 1.259x10^-4 in decimal notation

0.0001259

500

The population of the world today is approximately 7.888x10⁹. In 1500, the population was approximately 5.54x10⁸. 

In scientific notation, how many more people are there today than in 1500?

7.326x10⁹ more people

Expanding Brackets

100

Expand 5(a+3)

5a+15

200

Expand 4b(b²-2)

4b³-8b

300

Expand and simplify (x+6)(x+1)

x²+7x+6

400

Expand and simplify (x-4)(x+4)

x²-16

500

Expand and simplify (2x+7)(5x-2)

10x²+31x-14