Sec 1 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 1 MATH EOY 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 [Numbers] Consider the following set of numbers. 29, √5, 3𝜋 2 , 1, 0. 2̇ 3̇ , 73, √16, 9 Write down all (a) the irrational number(s), (b) the prime number(s), (c) the perfect square(s), [1] [1] [1] 2 [Approximation & Estimation] Express (a) 10.0945 correct to 2 decimal places. (b) 20 947 correct to 3 significant figures. (c) Estimate the value of 12.46−√9.23 1.01+3.84 by writing each number correct to 1 significant figure. Show your working clearly. [1] [1] [2] 3 [HCF & LCM] (a) Find the highest common factor of 1428 and 2660. (b) Find the lowest common multiple of 26 × 32 × 515 and 25 × 33 × 7. Leave your answer in index notation form. (c) Using prime factorisation, find √2304. Show your working clearly. (d) Find the smallest integer value of k where 168𝑘 is a perfect square. [1] [1] [2] [2] 4 [Number Operations] Evaluate the following without using calculator. Show your working clearly. (a) 2 − (−3) − 5 × 5 ÷ (10 − 15)2 (b) 3 3 5 + (−2) − ( 2 3 + 5 6) ÷ 1 1 6 [2] [3] 5 [Algebra] (a)(i) Given that 𝑎 = 5, 𝑏 = −3, 𝑐 = −1, find the value of 𝑎𝑐2 − 4𝑏2. (ii) Given that 𝑑 = − 1 3 , 𝑒 = 5 7 , 𝑓 = 3 8, find the value of de−5f def . (b) Expand the following algebraic expressions. (i) −5(2𝑏 − 7 5). (c) Factorise the following completely. (i) 2𝑎 − 14𝑎2𝑏 + 22𝑎𝑏2 (d) Express 2(𝑥+3) 5 − 3(𝑥−2) 4 as a single fraction in its simplest form. [1] [1] [1] [1] [3]

Page 3 Paradigm Specialising in O Level Mathematics Paradigm Secondary Math Department 6 [Number Patterns] (a) Fill in the next two terms of the number sequences. (i) −3, −1, 1, 3, 5, ___, ___, … (ii) −6, −10, −18, −34, −66, ___, ___, …