FINAL REMINDERS BEFORE SPM 2011
Presented by KTKung ® on the 12th of November 2011
Final Checklist b4 taking the 1449/1/2 paper
Paper 1
You must know these:
- round off a number to 2 or 3 significant figures
- express a number in standard form
- express a standard form as a single number
- solve linear equations in 1 variable
- express a base 5 number as a number in base 8
- add and subtract numbers in base 2
- changing expanded notation to a single number
- express a base 10 number to base 8
- sum of interior angles formula in polygons
- properties of rhombus, parallelogram, pentagon, hexagon , heptagon, octagon, nonagon and decagon
- sum of exterior angles in a convex polygon is 360º
- number of sides in a regular polygon is 360º divide by 1 exterior angle
- number of symmetries in a regular polygon is 360º divide by 1 exterior angle also
- when doing polygon questions, note every special characteristic or key words, like isosceles will mean 2 sides equal, equilateral will mean all equal sides and angles, regular will mean all sides equal….
- know where is the angle between the tangent and a chord
- know how to use the common tangent to solve problems
- translation must be defined by . Check which is the object before you proceed to find the image
- you must know how to find the centre of rotation and angle
- reflection is the line in the middle between the object and image
- scale factor is the length of the image ÷ length of the object
- recognize the graph of tangent, for cos and sine, where they meet
- Pythagorean triples like 3,4 and 5 : 6, 8, and 10: etc
- finding the value of tangent, cos or sine in a triangle
- where is sin ө in the ordered pair of the unit circle
- using "all science teachers clever" to find the required angles in the circle
- naming and marking the angle between a line and a plane
- naming the angle between a plane and a plane
- where mid points are given in the diagram, use them
- angle of depression means from the top you look down
- angle of elevation means from the bottom you look up
- find the location of a place on the surface of the earth
- use ( ө x 60 ) to find the distance along the meridian/ longitude
- use ( ө x 60 x cos of that latitude) to find the distance along the latitude
- shortest distance to a point
- calculate the speed of the aeroplane
- B is west of A means B is on the left
- in bearing, complete the triangle if 3 points are given an draw up the north
- use alternate angles and complete rotation to get the bearing
- bearing must be calculated starting from the North, clockwise and in 3 digits
- be careful when the North is slanted
- in algebraic formulae, the subject of the formula must always be positive value, single and preferably on the left
- in algebraic expressions, know factorization and expansion
- addition and subtraction of algebraic fractions
- the 5 rules in Indices especially the bracket formula ( raising the formula)
- if you see indices in the format of equation then make the base the same first
- in linear inequalities, the negative term on the right must always be changed to a positive term
- mode, median and mean of a grouped data
- pie and bar chart calculations
- identify any quadratic, reciprocal or cubic graph
- know how to substitute a given value into the function
- in sets, list carefully the required elements before using union or intersection or prime to obtain the answer
- unless bracket is given, solve from left to right
- in the straight line, remember the 3 ways gradient is asked
- remember how to find the x intercept
- the equation of the straight line also
- finding the probability of something means the answer must be in fractions
- list all the outcomes in probability
- differentiate between how to find probabilities in card format and in table format.
- in matrices, know how to add or subtract or multiply matrices
- the meaning of no inverse and its application
- in variations, differentiate between varies directly as / varies inversely as
- careful with cube or cube roots – read carefully
- the constant value, k, must be obtained before any further calculations
Paper 2
- in shading the area represented by linear functions, know the correct area to shade- above the line means greater, below the line means lesser, on the right means greater, on the left means lesser, dashed line means not inclusive of the line
- in shading the area represented by sets, number every part first before you solve the question. Remember, union means all; intersection means only the same, prime means the complement and always solve the bracket first.
- draw a venn diagram to show the relationship between all the sets
- in solid geometry, volumes of shapes are given but for surface area the formula given may not necessarily be correctly used for example: total surface area of hemisphere is 3π² and not 2π²
- for composite ( combined) solids, make sure you need to add or minus before you proceed.
6. naming the angle between a line and a plane
7. naming the angle between a plane and a plane
- where mid points are given in the diagram, use them
- to calculate the angle, first write the angle, example : ABC, then use trigonometry to calculate
- in mathematical reasoning, must know meaning of statement, converse, implication, conclusion, induction and deduction
- in simultaneous equations, make one coefficient the same first before you cancel it, then substitute to find the answer.
- in straight lines, what is the meaning of parallel lines, how to find the equation with a gradient and a point, ho to find the coordinate of the 4th vertex in a rhombus and the x intercept
- in quadratic equations, arrange to the order of before you solve for x
- in matrices, a matrix with no inverse means ad-bc = 0, the determinant is ad-bc and the inverse means , where I is the inverse.
- in calculating sectors, get the radius correctly, the angle and then see whether you need to add or minus.
- in calculating perimeter, is it whole diagram or shaded area, just follow the requirements
- in probability, must know how to calculate :one card taken at random and two cards taken at random : the meaning of " at least one card " and "both cards "
- In distance time graph, in finding the distance just refer to the y axis and for time taken, just refer to the x axis.
- In the speed time graph, area under the graph is the distance
- translation must be defined by .
- reflection along the ……….
- rotation of an object
- enlargements
- in functions remember how to draw a suitable straight line
- practice drawing a smooth curve as this may affect your answers
- which one is the frequency polygon?
- know how to draw an ogive
- upper quartile, median, lower quartile and interquartile range
- to draw a plan, view like this
- to draw an elevation, view like this
- dashed lines ( dotted lines ) are hidden lines which must be drawn
- location of a point on the Earth is written as ( latitude, longitude )
- latitude is either x º N or x º S. longitude is either y º W or y º E
- distance along of the parallel of latitude is calculated by using
θ x 60 x cos of that latitude
- distance along the meridian is calculated by using
θ x 60
36. speed of an airplane is distance ÷ time
Good luck !
