To simplify fractions to lowest terms - divide the top and bottom by the same number. Repeat until no possible divisions remain, To add or subtract fractions - find a common denominator and create equivalent fractions to the ones being added or subtracted, To change a mixed number to a top heavy fraction - multiply the whole number by the denominator, add the numerator (top) and write over the original denominator., to change a top heavy fraction to a mixed number - divide the top number by the bottom to give the whole number part. Write the remainder over the denominator for the fraction part., to find a percent of an amount - divide the amount by 100 and multiply by the percent required., to find a percentage change - find the change ( subtraction) write this over the original amount and multiply by 100., to calculate compound interest - multiply the amount by the multiplier to the power of the number of repeats ( years), to find the original given a percentage change - add ( or subtract) the % change to (from) 100%. Divide the current amount by this % and times by 100., to find the mean - add all the numbers and divide by the number of things you have added together., to find the median - put the numbers in order of size and find the middle., to find the mode - mode is the most frequent thing that occurs, the range - is the difference between the highest and the lowest in a set of data., perimeter - is the total distance around a shape found by ADDING lengths, area - is the space within a 2-D shape found by multiplying length and width units m2, volume - is the space inside a 3_d shape measured in m3, cm3 and found by multiplying 3 dimensions, surface area - is the total area of all the sides of a 3-D shape, the circumference of a circle - ℼ times by the diameter ( distance across a circle) ℼ= 3.14, the area of a circle - ℼ x radius2. Radius is half way across the centre of a circle, the probability of a single event eg a six on a dice; head from tossing a coin; a counter from a bag - is expressed as a fraction with all possible outcomes as the denominator and the outcome specified as the numerator., The probability of two events giving a particular outcome; 2 heads or 2 sixes for eg - is found by MULTIPLYING the probabilities together., When multiplying fractions - we multiply the numerators and multiply the denominators to give a new fraction., 6 steps to a scatter graph - Label the axes; use an even scale; plot the points; draw a trend line; describe the correlation; estimate using the trend line., to complete a scale drawing eg 1:50 - divide the real measurements by the given scale eg 1:50 divide by 50., speed - is the distance divided by the time. miles per hour; metres per second, density - is the mass divided by the volume of an object; Kg/m3 or g/cm3. , estimation means - using numbers that make a calculation really easy to work out to give a guide to the actual answer, rounding means - using the rule, 5 or above round up, to write numbers to a specified degree of accuracy., BIDMAS is a guide to the order we do maths operations and stands for - B= brackets; I = indices ( powers); DM are divide and multiply; AS are add and subtract.,
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