Mathematics ( SPM ) Paper 2 (2 hr 30 min ) Summary of paper Section A (52%): 11 questions. Answer all Section B (48%): 5 questions. Choose any 4 Show all the important working Section A: 11 questions 1. Quadratic equations ( F4) / 4m Expand algebraic expression 2 Arrange as general form ( 2x + 3x 5 = 0 ) Factorise: ( 2x - 3) ( x + 5) = 0 Find 2 values: x = 3, x = -2 - 3 methods involved a) eliminations b) substitution c) matrix - Shade region of inequalities - List inequalities of shaded region - Shading region (P U Q), (P Q), ( P Q) - List of elements2. Simultaneous equations (F3)/ 4m3.

1. Nota Ringkas Sejarah Tingkatan 5
2. Nota Ringkas Sejarah Tingkatan 5 Bab 9

Graph of functions ( F5) / 3m or Sets (F4)4. Lines and Planes in 3 Dimensions (F4) / 4m - Find length of a side ( Pythagoras Theorem) - Name the angle between line and plane - Calculate angle between plane and plane 5. Straight line (F4) / 5m find find find find coordinates, x intercept, y intercept gradient, midpoint equation of a straight line ( y = mx + c) equation of parallel lines6. Solid Geometry ( F3 ) / 4mfind volume volume of cone, cylinder, pyramid, cuboid, sphere, hemisphere volume of composite ( + or - ) usage of formulas and calculator rd formulas given at 2nd / 3 pages7.

Nota Ringkas Sejarah Tingkatan 5

Circle ( F2 ) / 6m- a) Perimeter of diagram ( length of arc = angle x 2 r ) 360 - b) Area of shaded / unshaded region ( area of sector = angle x r 3602)Matematik SPM/SMKTP/khtay8. Mathematical reasoning ( F4 ) / 5m-True / false Implications (2): If. Converse Quantifier ( all / some ) and / or Complete premise9. Probablity ( F4 & F5 ) / 5m- choosing 1 items randomly - choosing 2 items randomly - graph ( distance time ) - graph ( speed time )10.

Gradient and area under graph ( F5) / 5m 11. Matrix ( F5 ) / 6m -matrix identity and multiplication of matrices inverse matrix solving matrix equation using inverse matrixSection B: 5 questions. ( Choose any 4 ) 12. Graph of function ( F5 ) / 12m Complete table ( find 2 values for y ) Draw x- axis & y axis according to scale Plot points accurately Draw a smooth curve graph Find values from graph Draw a suitable straight line, find point of intersection - shade region of inequality13. Transfomation ( F5 ) / 12m-Translation/ reflection/ enlargement/ rotation Describe transformation Double transformation 2 area of image = k x area of object14. Statistics ( F4 ) / 12m-Calculate mean from table of class interval frequency,midpoint, upper boundary, cumulative frequency Draw ogive / histogram / frequency polygon Find median, first quartile, third quartile, interquartile range, state one information from graph Draw: Plan, front elevation, side elevation extra line / missing one line = 0 marks angle 90 accurate.

Measurement accurate no extension/gap at corners15. Plan and elevation ( F5 ) / 12m16. Earth ( F5) / 12m - Longitude / latitude - Location of point ( 40 N, 65 E ) - Difference of angle: a) same lat/long, b) different lat/long, + - Distance ( at equator/longitude ) = diff. Of angle x 60 - Distance at latitude = diff.

Of angle x 60 x cos lat - speed = distance timeMatematik SPM/SMKTP/khtayMathematics ( SPM) Paper 1 ( 1 hr 15 min) 40 objective questions. Summary of topics 1. Significant figure (F4) - 1 2. Standard Form ( F4) - 3 ( 2 involving +, - x, and 1 problem solving) 3. Number bases ( F5) - 2 ( change of bases and +/- of base 2) 4. Polygons (F3) - 2 (pentagon/hexagon involving angles/sides) 5. Circle ( F3 & F4) - 1 ( find angle ) 6.

Angles of elevation and depression (F4) - 1 7. Proxima nova bold font family. Trigonometry (F4) - 2 ( graph sin/cos, quadrant, Pythagoras Theorem) 8. Lines and planes with 3-D ( F4) - 1 ( name the angle between line and plane ) 9. Bearing ( F5) - 1 10. Earth ( F5) - 1 ( location of points/distance/long/lat) 11. Transformation (F5) - 3 ( Translation/reflection/rotation/enlargement) 12. Algebraic Expressions (F3) - 1 Expand/simplify 13.

Linear equation (F3) - 1 14. Algebraic fraction (F3) - 1 15. Algebraic Formulae ( F3) -1 16. Indices (F3) - 2 ( involving number and alphabet) 17.

Nota Ringkas Sejarah Tingkatan 5 Bab 9

Linear inequality ( F3) - 2 18. Matrix ( F5) - 3 ( +, - and multiply) 19. Graph of function (F5) - 1 20. Straight Lines ( F4) - 1 ( gradient, equation, intercept ) 21.

Set ( F4) - 3 22. Variations (F5) - 2 ( direct, inverse and combined variation) 23. Probablity ( F4 ) - 2 24. Statistics ( F3 & F4) - 1 Form 3 Form 4 Form 5 - 9 chapters - 9 chapters - 7 chaptersMatematik SPM/SMKTP/khtay.