Finance and Algebra

Percentages

100

Find 15% of $250.

What is $37.50?

200

Increase 45 by 20%.

What is 54?

300

Erin scored 36 out of 40 for her maths test. What percentage did she score on her test?

What is 90%?

400

A shirt costing $29 was marked down to $21.75 during a sale. What is the percentage discount?

What is 25%?

500

The original price of a set of headphones was $48 and the store owner increased the price by 20%, before dropping the price of the headphones by 25%. What was the overall change in the price?

What is $4.80?

Simple Interest

100

What is the simple interest on a loan of $250 for 3 years if the interest rate is 2.5%?

What is $18.75?

200

What is the final balance on an investment of $1750 at 5% p.a. simple interest for 6 months?

What is $1793.75?

300

How long must $542 be invested at a rate of 7% p.a. to earn $303.52 in interest?

What is 8 years?

400

What is the principal required for the simple interest to be $900 on an amount invested for 2 years at 10% p.a.?

What is $4500?

500

What was the interest rate if your balance on an investment of $857 at the end of 6 years is $1268.36?

What is 8% p.a.?

Index Laws

100

Simplify: 7a²b x 4a³b

What is 28a⁵b² ?

200

Simplify: 

(36x^7y^9)/(18x^5y^7)

What is 

2x^2y^2?

300

Simplify: 

(5a^2 xx (2a^3)^2)/((2a^4)^3

What is 

5/(2a^4)?

400

Simplify: 

(4(a^2b)^3xx3a^-5b^-2)/(6ab)

What is 2?

500

Simplify: 

((c^-3d^-4)^2xxc^2d^6)/(c^5d^-2)

What is 

1/(c^9)?

Scientific Notation

100

What is 273 000 000 written in scientific notation?

What is 

2.73 xx10^8?

200

What is 0.0000015 written in scientific notation?

What is 

1.5xx10^-6?

300

Express the following in standard form:

1.17xx10^5

What is 117000?

400

Express the following in standard form:

4.4xx10^-4

What is 0.0004?

500

Calculate the following and write your answer in scientific notation:

(3.21xx10^-3xx4.19xx10^4)/(5xx10^6)

What is 

2.68998xx10^-5?

Expanding

100

Expand:

-4x(1-2x)

What is 

-4x+8x^2?

200

Expand and simplify:

6(2x+5)-4(5x+2)

What is 

-8x+22?

300

Expand and simplify:

(x+2)(x-3)

What is 

x^2-x-6?

400

Expand and simplify:

(2x-3)^2

What is 

4x^2-12x+9?

500

Expand and simplify: 

(3x+4y)(3x-4y)+(x+y)^2

What is 

10x^2+2xy-15y^2?

Factorising

100

Factorise: 

3m+15

What is 

3(m+5)?

200

Factorise: 

12x^3y^4-15x^2y^6

What is 

3x^2y^4(4x-5y^2)?

300

Factorise: 

-5xy+15x^2y^2

What is 

-5xy(1-3xy)?

400

Factorise:

2x(m+5)+3(m+5)

What is (2x+3)(m+5)?

500

Factorise: 

3x(a-1)-(a-1)

What is 

(3x-1)(a-1)?