O level E-Math Paper 2 Practice Questions

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 Mmmmm

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 290 and angle 72 .ADB= (a) Find the bearing of A from B. Answer ………………………. [4] [Turn Over

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 ………………………. [3]

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 , correct to 1 decimal place. Answer [3] (b) Calculate the surface area of the prism. Answer ……………………….cm2 [3]

2025 ‘O’ Level E.Math Paper 2 Finale Set 6 (c) Calculate the vertical distance of C above AB. Answer ………………………cm [2] (d) Calculate the angle of elevation E from A. Answer ………………………. [4]

2025 ‘O’ Level E.Math Paper 2 Finale Set 7 Question 3 – Matrices [2023/TKGS/4E/Prelim/II/4] The table below shows the number of parcels, cards and letters sent by Peter and Jane. (a) Represent the information in the table in a 23 matrix N. Answer =N………………………………………… [1] Postage is charged at $7 for a parcel, $0.50 for a card and $0.40 for a letter. (b) Represent the postage charges in a column matrix C. Answer =N………………………………………… [1] (c) Evaluate the matrix .=PN C Answer =P………………………………………… [2] (d) Explain what the elements in P represent. Answer ………………………………………………………………………………… …………………………………………………………………………… [1] [Turn Over

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 33 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]

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− [3] [Turn Over

2025 ‘O’ Level E.Math Paper 2 Finale Set 10 (b) The equation 3 246 x xk−++ = has three solutions. Use your graph to find the range of values for k. Answer ………………………. [1] (c) The equation 315 3 0xx−+ = can be solved by finding the points of intersection of the straight lineya x b=+ and the curve 3 24 .6 xyx=− + + (i) Find the values of a and the value of b. Answer a=………………………… b=……………………… [2] (ii) By drawing the line ,ya x b=+ solve the equation 315 3 0.xx−+ = Answer x=………… or ………… or ………… [3]