Sec 2 Math EOY Mock Exam Paper

Page 1 Paradigm Specialising in O Level Mathematics Paradigm Secondary Math Department Name: School: Target Grade: MOCK EOY PAPER 2025 SECONDARY 2 MATH READ THESE INSTRUCTIONS FIRST INSTRUCTIONS TO CANDIDATES 1. Find a nice comfortable spot without distraction. 2. Be fully focused for the whole duration of the test. 3. Speed is KING. Finish the paper as soon as possible then return-back to Check Your Answers. 4. As you are checking your answers, always find ways to VALIDATE your answer. 5. Avoid looking through line by line as usually you will not be able to see your Blind Spot. 6. If there is no alternative method, cover your answer and REDO the question. 7. Give non-exact answers to 3 significant figures, or 1 decimal place for angles in degree, or 2 decimal place for $$$, unless a different level of accuracy is specified in the question. Wish you guys all the best in this test. You can do it. I believe in you. Team Paradigm PARADIGM [Turn Over]

Page 2 Paradigm Specialising in O Level Mathematics Paradigm Secondary Math Department 1 [Simultaneous Equation] Solve the simultaneous equations. 𝑥 3 − 3𝑦 4 = 2 4𝑥 + 3𝑦 = 16 [3] 2 [Linear Graph The diagram shows a line segment 𝐴𝐵. (a) Find the gradient of the line 𝐴𝐵. (b) State the equation of the line that is parallel to the y-axis and passes through the point A. (c) Draw and label a line 𝑙1 that has a zero gradient and a y-intercept of −4. [1] [1] [1] 3 [Expansion] (a) Simplify 𝑥2 − (𝑥 − 1)2 + (𝑥 − 2)2 − (𝑥 − 3)2. (b) Hence, find the value of 20202 − 20192 + 20182 − 20172. [2] [2] 4 [Factorisation]Factorise fully (a) 8𝑥2 − 2, (b) 15𝑎2 − 5𝑎𝑏 + 2𝑏 − 6𝑎. [2] [2] 5 [Changing Subject Formula] Make x the subject of the formula. 𝑦 = √ 4𝑥 𝑝𝑥−1 6 [Algebraic Fraction] (a) Simplify 5𝑎2𝑏 7𝑐 ÷ 15𝑏2𝑎 4𝑐3 . (b) Express 3𝑦 (𝑦−2)2 + 3 4−2𝑦 as a single fraction in its simplest form. [2] [3]

Page 3 Paradigm Specialising in O Level Mathematics Paradigm Secondary Math Department 7 [Quadratic Equation] (a) Solve 2𝑥2 + 15𝑥 − 8 = 0. (b) Hence, solve the equation 2(𝑝 − 1)2 + 15(𝑝 − 1) − 8 = 0. [2] [2] 8 [Quadratic Equation - Application] Rio cycled for 30 km at a constant speed of x km/h. He then ran for the remaining 8 km at a constant speed of (𝑥 − 15) km/h. (a) Write down an expression, in terms of x, for the time in hours that Rio cycled. (b) Write down an expression, in terms of x, for the time in hours that Rio ran. (c) Given that the total time taken for the whole training is 2 hours, form an equation in x and show that it reduces to 𝑥2 − 34𝑥 + 225 = 0. (d) Solve the equation 𝑥2 − 34𝑥 + 225 = 0. (e) Explain why one of the solutions in (d) is not a possible solution. (f) Find the time taken, in hours and minutes