O level E-Math Paper 2 Practice Answers

2025 ‘O’ Level E.Math Paper 2 Finale Set 1 ‘O’ Level E.Math Predicted Question Types for 2025 ‘O’ Level E.Math Paper 2 Ya m a m o to

2025 ‘O’ Level E.Math Paper 2 Finale Set 2 Predicted 2025 O Level EM P2 Topics Question types that are VERY LIKELY to come out, split into 2 sections: Section 1: Heavy-weightage questions 1. Trigonometry – Bearings, Sine Rule, Cosine Rule, Angle of Elevation / Depression 2. Matrices 3. Vectors – Given unknown vectors, proving collinear points / parallel vectors 4. Ratio of Area of Triangles [e.g. Find the ratio of Area of .Area of ABC ABD ' '] 5. Mensuration – Area and Volume of Cylinders, Prisms, Pyramids, Cones, Spheres 6. Graphical Solutions – Plot points, sketching graph, drawing tangent, [ “suitable straight line” concept might come out again here] 7. Coordinate Geometry 8. Arc Sector Segment in Radian Measure 9. Number Patterns Section 2: Lighter-weightage questions 1. Standard Algebra Questions, ()()22ab a b a b−=+ − , Simultaneous Equations 2. Direct and Inverse Proportion 3. Map Scales 4. Finance: Exchange Rate, Hire Purchase, Compound Interest 5. Sets and Venn Diagrams 6. Polygons 7. Graphs of Functions [e.g. ()1, 3 4 x yyx== ] Question types that MAY OR MAY NOT come out 1. Statistical Data Analysis – Median, IQR, Percentile 2. Properties of Circles 3. Algebraic Contextual + Quadratic Formula 4. Proving similar / congruent triangles

2025 ‘O’ Level E.Math Paper 2 Finale Set 3 Question 1 – Applications of Trigonometry [2023/FFMS/4E/Prelim/II/8] ABC and ADB are two triangular plots of land. 85 m,AB= 72 m,BC= 135 mAC= and 57.4 m.BD= The bearing of B from C is 290q and angle 72 .ADB=q (a) Find the bearing of A from B. Answer ……………………….q [4] [Turn Over (G)LBCN,=365- 295Clsatapt. ) = 70' LN,BC=1dg- Fri(int.(s) =115 ByCosineRule, b'ti- ahCosa= Zbc 㱺[ABC=(oj' (85^+722-1352)2185)(72) =118.369° -:Bearing=118.369' -1115 =228.369°=228-4' (Idp)= 228.4

2025 ‘O’ Level E.Math Paper 2 Finale Set 4 (b) The plot of land ADB is to be filled with top soil. Calculate the area to be filled with top soil. [4] Answer …………………… m2 [4] (c) A 40 m antenna mast is installed vertically at point D. Find the largest angle of depression from the top of the mast to a point along the path AB. [3] Answer ……………………….q [3] BySineRule, SinCDABSin72° 57 .4= -85 <DAB=sin-1 (57 .4Sinti 185 = 39.959° LDBA=185- 72°- 39.959' (Lsunin0) = 68.041' Areaof0ADB={(57'4)(85)sin68.04, ' =2262.518 =2260m" (35ft 2260= T T(topofmast)Shortest(Perpendicular)dist. sin68.041- = e, fromDtoAB. DF=57 .4Sin68.041' 40 =53.236 7 0(D F(footofperpendiculartan0=5%36 fromDtoAB) D=tan" (53.236)=36.920' =36.9' (Idp) = 36.9

2025 ‘O’ Level E.Math Paper 2 Finale Set 5 Question 2 – Trigonometry – 3D Solid + Angle of Elevation / Depression [N2016/II/8] The diagram shows a solid triangular prism with three rectangular faces. AB = 7 cm, AC = 3 cm, BC = 6 cm and BD = 10 cm. (a) Show that angle BAC = 58.4 ,q correct to 1 decimal place. Answer [3] (b) Calculate the surface area of the prism. Answer ……………………….cm2 [3] I 32+7^-6' cosCBAC= 2.(3)(7) LBAC= coi' (É)=58.412° =s8(Idp)(shown) To t a lSA= 2✗AreaofOABCt3AreaofRect. = 2.(E)(3)(7)sin58.4°+(3)(lo)+(G)(lo)t(7)(lo) = 177.88 = (35ft 178

2025 ‘O’ Level E.Math Paper 2 Finale Set 8 If the postage charges are increased by 10% for parcels and 15% for letters, and the postage charge for cards is decreased by 10%, (e) write down a 33u matrix R such that when multiplied to matrix C will give the revised postage charges. Answer =R………………………………………… [1] (f) Explain why RN is not possible. Answer ………………………………………………………………………………… …………………………………………………………………………… [1] (g) By matrix multiplication, find the new postage charges Peter and Jane each had to pay. Answer Peter: $………………………… Jane: $ ……………………… [2] 110' /. 㱺1.1 1151.㱺I-15 401.㱺0.9 o?:)◦ ☐ I-15 to& 3×32×3 SincethenumberofcolumnsinmatrixR(i.e.3Colum,) ≠numberofrowsin matrixN(i-e. 2rows), RNisnotpossible. - 7 Rc=("'00 ◦" ◦ 11::)00I-15 = (7-7 (newunitcharges)÷::) 7.7 Nrc:(;;;)(o.us 0-46) =(42-6 29.46/㱺Pete_ 㱺Jane 42-60 29-46

2025 ‘O’ Level E.Math Paper 2 Finale Set 9 Question 4 – Graphical Solutions [2023/FFMS/4E/Prelim/II/4] The table below shows some values of x and corresponding values of y for 3 24 .6 xyx=− + + (a) Complete the table of values, giving your answer correct to 1 decimal place. [1] On the grid below, draw the graph of 3 246 xyx=− + + for 44 .x−dd [3] [Turn Over 5.8 ✗ "t - ¥""" ✗ :/\✗ y=- Éxt{/1.3 × 0-25 3-8 ¥-3" " cz→