# Numbers

## WORKSHEETS

Learning Objectives

NUMBER(PERCENTAGE)

NUMBERS

-Standard form

-Reciprocal numbers

PERCENTAGE

-Change fraction and decimal to percentage

-Change a percentage to a fraction and decimal

-A number as a % of another

PERCENTAGE OF QUANTITIES

-50% of \$30, 12.5% of \$41.00

-Applications

WORKING BACKWARDS

-Apply a % by multiplying by a decimal

-Original quantity

INCREASE A PERCENTAGE

-Increase a quantity a percentage

and by multiplying by a decimal

-Work a quantity as % of another:

Work out the Percentage increase

MONEY

-Profit and loss

-Discounts

-Earning interest from a bank

RATIO

-Write a ratio statement

-Convert a ratio to a fraction or %

SPLITTING IN A GIVEN RATIO

PROPORTIONS

REVISION NUMBERS

ALGEBRA

WRITING EXPRESSIONS:

-Simplify 4 x y, b x 3a, etc

-Write expressions from phrases

SUBSTITUTION:

-Substitute one letter

-Substitute two letters

USING FORMULAE IN PRACTICAL CONTEXTS

SIMPLIFYING ALGEBRAIC EXPRESSIONS:

-Simplify 4c x 2d, -3x x 4, etc

-Collecting like terms x2-2x+x2,etc

NUMBER PATTERNS

FINDING NTH TERM IN A LINEAR PATTERN

POWERS:

-Simplify r x r x r, 4a x 2a, etc

- Multiplication and division

-Rules for working powers (x2y3)4

EX.23.4

EX.23.5

EX.23.6 **

PPP16-INDICES

(RULES)

WORD16-MULTIPLYING TERMS POWERS

WORD16-DIVIDING TERMS POWERS

WORD18-SIMPLIFY ALG FRACTIONS

SQUARE ROOTS

-Simplify sqr 9y6, sqrt 36x2y4, etc

ALGEBRAIC FRACTIONS:

-Simplify 3x/6x, 12xy, 2z, etc

-Multipliy x/2 x x/5, 2x/3y x y/4x, etc

-Divide x/3 / x/6, etc

BRACKETS

-Multiplying one bracket

-Multiplying two brackets

EX.23.7

INVESTIGATION

EX.23.8

EX.23.9

EX.23.10

EX.23.22

EX.23.23