## Frfactions,mixed numbers,decimals, percentages, areas, colume, sig figs and more

How do you make a fraction into a decimal? Divide The numerator by the denominator
How do you make a decimal into a fraction? Put it over the number of place values after the decimal point, simplify fraction if necessary.
How do you add and subtract fractions? Make a common denominator then add/subtract
How do you multiply Fractions? Multiply the numerators together, followed by the denominator.
How do you divide Fractions? Turn the 2nd fraction then time.
How do you add mixed numbers? Add together the mixed numbers, then make a common denominator and add together the fractions. Then add together the whole number and the fraction
How do you Subtract mixed numbers? First subtract the second whole number by the first, then subtract the second fraction by the first.
How do you multiply mixed numbers? Write as an improper fraction then times.
How do you divide mixed numbers? Write as an improper fraction, swap round the 2nd fraction and times.
Mixed numbers into improper fractions? Times the whole number by the denominator then add the numerator.
Multiplying decimal numbers? Make the decimal a whole number, then times. But because you timed the decimal you need to undo the operation by dividing the answer by 10, 100, 1000 etc.
How do you add and subtract decimals? Line up the decimals under each other then add/subtract.
Expressing 1 quantity as a percentage as another? Place the two numbers over each other as a fraction and times by 100, turn into a mixed fraction then a percentage.
Making a fraction into a percentage? Change into decimal than percetage.
How do you multiply a single bracket? Everything inside the bracket must be multiplied by the number or term outside the bracket.
What is pi? 3.1415926 (Area of a circle) Pi, r squared.
Directed numbers rules? + + = +- – = +- + = -+ – = –
What is a perimeter? All the sides ADDED together
How do you simplify expression with brackets? BIDMAS
Area of a triangle? 1/2 Base x height
Area of a square? Length of side Squared
Area of a rectangle? Breadth x Height
Area of a Parrallelogram? Breadth x Height
Area of a Trapezoid? Length of the top side + The base divided by 2 timed by Vertical height
Area of a circle? Pi r squared
Volume of a cuboid? Height ? Width ? Length
Volume of a cube? Height x width x length
Volume of cylinder? Find the area of thr circle than times it by the height.
Volume of a prism? Area if cross section x length
How do you Round? Identify the posistion of the last digit, look at the digit to the right. If the decider is 5 or more you round up if the decider is 4 or less you leave the digit as it is.
What is a significant figure? Sig fig approach from the left and start counting as soon as you meet the non zero figure. Once you have started counting any figure including zero is significant.
What do the angles in a triangle add up to? 180 degrees
What do angles around a point equal up to? 360 degrees
What do angles on a line add up to? 180 degrees
What is a isosceles triangle? A triangle with two equal sides
What is a equilateral triangle? Triangle where all the sides are equal, adding up to 60 degrees.
What is a interior and exterior angle? On a triangle the exterior angle is the sum of two interior angles. If you add up the interior angle and exterior angle you get a straight line, 180 degrees. The exterior is on the outer side of the shape and the interior is on the inside.
What does BIDMAS stand for? B – BracketsI – Indices (Powers)D – DivisionM – MultiplicationA – AddingS – subtracting
What are the first 12 prime numbers? 2,3,5,7,11,13,17,19,23,29,31,37(Hint – All end in 1,3,7,9)
What are HCF & LCM? We can break a number into a product of itsw primes.HCF – Highest common Factor that can both be divided into without a remainder.LCM – Lowest common multiple, the lowest number they can both be divided into.
What are the multiplication and division laws for indices? Multiplication – Am x An – Am+nDivision – Am / An = A m-n
What is standard form? A number is written as A x 10n, A is always between 1 and 10. n tells us how many place to move
What is an acute angle? Angle less than 90 degrees
What is and obtuse angle? Angles between 90 and 180 degrees.
What is a reflex angle? Angles between 180 and 360 degrees.
What are the first 15 square numbers? 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225.
What is a square root? The opposite of a square number.
What is a cubed number? Times a number by itself three times
What is a cubed root? The opposite of a cube number.
What is the equivilents to 1km in m? 1000m
1m in cm? 100cm
1cm in mm? 10mm
1kg in g? 1000g
1 Tonne in kg? 1000kg
1g in mg? 1000mg
1 Litre in ml 1000ml