Maths Study Notes (Covers most topics)

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Fractions (Chapter 10 in New Century Maths 7)

Multiplication with fractions. Much easier than plus or minus. Look to cancel between the numerator and the denominator before you multiply. Common denominator is not necessary.

Devision with fractions. Take the reciprocal and flip over. Change the devision sign and change it to the multiplication sign.

Addition with fractions. Make sure the denominators are the same (so if needed change them so they are the lowest common multiple). Add the top numbers (the numerators) together and put them over the denominator. Simplify if needed.

Subtraction with fractions. The same as adding, except you minus the numerators instead of adding. Make sure to simplify when needed!

Number (Chapters 1, 3 and 5 in New Century Maths 7)

A prime number is a number that has no factors apart from 1 and the actual number.

A factor is a number that goes into another number evenly.

A prime factor is a prime number that is a factor of another number.

Prime Numbers

2,3,5,7,11,13,17,23,29,31,37,41,43,47

Finding the prime factor of numbers

Finding the prime factor of numbers allows us to express a number as a product of its prime numbers.

Method 1: Factor Trees

Fractions

Number