GCSE Revision Blog

Revision tips, past paper downloads, exam dates, and articles to help you pass your GCSE exams.

Variation (Proportion & Inverse Proportion)

Want to download the Variation revision notes in PDF format? ProportionIf a is proportional to b,a µ band a = kb, where k is a constantThe value of k will be the same for all values of a and b. Example:If a µ b, and b = 10 when a = 5, find an equation …

Read more

Standard Form

Standard form is a way of writing down very large or very small numbers easily. 10³ = 1000, so 4 × 10³ = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.Small numbers can also be written …

Read more

Ratios

If the ratio of one length to another is 1 : 2, this means that the second length is twice as large as the first. If a boy has 5 sweets and a girl has 3, the ratio of the boy’s sweets to the girl’s sweets is 5 : 3 . The boy has 5/3 …

Read more

Percentages

Want to download the Percentages revision notes in PDF format? A percentage is a fraction whose denominator is 100 (the numerator of a fraction is the top term, the denominator is the bottom term).So 30% = 30/100 = 3/10 = 0.3To change a decimal into a percentage, multiply by 100. So 0.3 = 0.3 × …

Read more

Directed Numbers

Want to download the Directed Numbers revision notes in PDF format? Numbers can either be positive or negative. Often brackets are put around negative numbers to make them easier to read, e.g. (-2). If a number is positive, the + is usually missed out before the number. So 3 is really (+3). Adding and multiplying …

Read more

Travel Graphs – Distance & Time

Speed, Distance and TimeThe following is a basic but important formula which applies when speed is constant (in other words the speed doesn’t change):Speed = distancetime Remember, when using any formula, the units must all be consistent. For example speed could be measured in m/s, distance in metres and time in seconds.If speed does change, …

Read more