Download Cambridge IGCSE Maths Formulas and Concepts and more Exams Nursing in PDF only on Docsity!
Area of a parallelogram - correct answer base x height OR ab sin 0 (ab are the 2 sides) area of a trapezium - correct answer 1/2(a + b)h where a and b are parallel sides Circumference of a circle - correct answer 2πr where r is the radius or πd Gradient of a graph - correct answer change in y/ change in x rise / run Mean average - correct answer total of values/number of values t= mxn n= t/m Mode average - correct answer most frequent number Median average - correct answer middle number where numbers are in order of size percentage increase or decrease - correct answer change in value x 100/original value the sum of the interior angles of a irregular/regular polygon.. - correct answer (n-2) x 180 where n = number of sides Regular polygon angle - correct answer 360/n(n is the number of sides) Exterior angle of regular polygon - correct answer 360/exterior angle Simple interest - correct answer PTR/100 where P is the principal amount of money invested/borrowed, T is the time and R is the rate Volume of a shape - correct answer cross-sectional area x length or height
Sine rule (angles) - correct answer SinA/a = SinB/b = SinC/c Sine rule (sides) - correct answer a/sin A = b/sin B = c/sin C Cosine rule (sides) - correct answer a^2 = b^2 + c^2 - 2bc cos A b^2 = a^2 + c^2 -2ac cos B c^2 = a^2 + b^2 -2ab cos C Cosine rule (angles) - correct answer CosA = (b^2 + c^2 - a^2 )/ 2bc Cos B = (a^2 + c^2 - b^2) / 2ac Cos C = (a^2 + b^2 - c^2) / 2ab Area of a triangle - correct answer 1/2 x b x h OR non right angle = 1/2 ab sin C Arc length - correct answer 2πr x angle/ Sector area - correct answer πr^2 x angle/ Venn diagram formula - correct answer n(A and B)= n(A) + n(B) - n(A intersect B) Matrix X - correct answer (a b c d) Determinant[X] - correct answer ad - bc Inverse of a matrix - correct answer X^-1 = 1/[X] (d - b -c a) Acceleration/deceleration - correct answer change in speed/time
-1 0 matrix 0 1 - correct answer reflection in y axis direct proportionality - correct answer y=kx 1 0 matrix 0 -1 - correct answer reflection in x axis indirect proportionality formula - correct answer y=k/x Area of circle - correct answer πr^ frequency density - correct answer the height of a bar on a histogram is found by the frequency / class width g --> kg - correct answer divide by 1000 m --> km - correct answer divide by 1000 mm --> cm - correct answer divide by 10 cm to m - correct answer divide by 100 cents --> dollars - correct answer divide by 100 Length - correct answer 1km = 1000m 1m = 100cm 1cm = 10mm Time - correct answer 1hour = 60 mins = 3600 secs 1min = 60 secs 1day = 24 hrs 1year = 12 months = 52 weeks = 365.25 days Mass - correct answer 1kg = 100g 1g = 1000mg
1tonne = 1000kg volume - correct answer 1 litre = 1000cm^ 1 m^3 = 1000litres 1 kilo litre = 1000 litre 1 dozen = 12 Week, leap, light - correct answer 1 week = 7 days 1 leap year = 365 days 1 light year = 9.46x10^12 km Profit (selling price, cost price) - correct answer S.P - C.P Profit loss - correct answer C.P - S.P Profit percentage - correct answer ( S.P-C.P/C.P ) x Loss profit percentage - correct answer ( C.P - S.P/C.P ) x simple interest amount - correct answer A = P + i A= amount P= money invested / borrowed i = interest distance - correct answer speed x time speed - correct answer distance/time average speed - correct answer total distance / total time Pythagorus theorm B = - correct answer c^2 - a^2 (SQUARE ROOT) Pythagorus theorm A = - correct answer c^2 - b^2 (SQUARE ROOT) for pythagoras theorm... - correct answer c is always the longest side of the right angled triangle pythagoras theorm is used for - correct answer all right angled triangles
cos trigonometry - correct answer cosx = a/h prism volume - correct answer Cross section area x length exterior angles in a polygon add up to... - correct answer 360 degrees if the polygon is regular and has n sides, then each exterior angle.. - correct answer = 360/n triangle sides - correct answer 3 hexagon sides - correct answer 6 quadrilateral sides - correct answer 4 pentagon sides - correct answer 5 heptagon sides - correct answer 7 octagon sides - correct answer 8 nonagon sides - correct answer 9 decagon sides - correct answer 10 midpoint of line - correct answer (x1+x2/2, y1+y2/2) distance between two points - correct answer = √(x₁-x₂)² + (y₁-y₂)² gradient given any 2 points - correct answer y2-y1 / x2-x matrix 0 - 1 -1 0 - correct answer reflection in the line y = -x matrix 0 - 1 0 - correct answer ROTATION 90 degrees anticlockwise centre (0,0) matrix 0 1 -1 0 - correct answer ROTATION
90 degrees clockwise centre (0,0) matrix -1 0 0 -1 - correct answer ROTATION 180 degrees clockwise/anticlockwise centre (0,0) enlargement matrix - correct answer k 0 0 k k= scale factor centre of enlargement = (0,0) inter-quartile range - correct answer upper quartile - lower quartile all probabilities lie between.. - correct answer 0 and 1 probability of an event - correct answer = number of favorable outcomes/total number of possible outcomes if the probability is 0 - correct answer the event is impossible if the probability is 1 - correct answer the event is certain to happen probabilities are written using.. - correct answer fractions or decimals length of chord - correct answer C = 2 R Sin θ/ area of sector - correct answer θ/360 x pie x r^ area of triangle in circle - correct answer 1/2 r^2 sin θ area of segment - correct answer 1/2 r^2 (θ - sinθ) quadratic rule - correct answer ax^2 + bx + c
normal probability (venn diagram) - correct answer P (A) = n (A) / n (universal= everything added up) magnitude of a vector - correct answer pythagoras ( x^2 + y^2 )then square root converting between SF,VF,AF (similarity) - correct answer Area factor = (Scalefactor)^ Volume factor = (scalefactor)^ corresponding (backwards F) angles - correct answer are equal they are angles in the same place on different lines PARRALEL LINES alternate (Z shape) angles - correct answer are equal they are angles on opposite sides of a transversal PARRALEL LINES co-interior (C shape) angles - correct answer Angles that add up to 180 degrees opposite angles are - correct answer equal regular polygon interior angle - correct answer 180-exterior angle gradients m1 and m2 are perpendicular IF m= gradient (y=mx+c) - correct answer m1 x m2 = - 1 use m2 = - 1/m1 to find... - correct answer perpendicular gradient (negative reciprocal) Features of a distance-time graph - correct answer Gradient = speed = distance /time = rise / run
Straight line = steady speed Horizontal line = stationary/stopped Features of a speed-time graph - correct answer Gradient = acceleration = speed / time = rise / run Area under graph = distance covered horizontal line = constant speed straight line = moving completing the square - correct answer a process used to make a quadratic expression into a perfect square trinomial
- a= 1/2 p
- b = q-a^
- write it in form (x+a)^2 + b
