2026 Riverside E-Math Paper 1

This document consists of 28 printed pages and 2 blank pages. RIVERSIDE SECONDARY SCHOOL SUBJECT : MATHEMATICS SUBJECT CODE /PAPER : 4052/01 LEVEL/STREAM : Sec 4 Express, 5 Normal (Academic) DURATION : 2 hours 15 minutes Write your class, index number and name in the spaces at the top of this page. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to 1 decimal place. For , use either your calculator value or 3.142, unless the question requires the answer in terms of . At the end of the examination fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 90. Submit Part A and Part B separately. NAME: NO: CLASS: www.KiasuExamPaper.com 271 www.KiasuExamPaper.com 271

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 2 Mathematical Formulae Compound interest Total amount = Mensuration Curved surface area of a cone = l Surface area of a sphere = 4 2 Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry a2 = b2 + c2 bc cos A Statistics Mean = Standard deviation = www.KiasuExamPaper.com 272 www.KiasuExamPaper.com 272

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 [Turn Over 3 Part A Answer all the questions. 1 (a) Express 0.000156 in standard form. Answer [1] (b) Work out . Give your answer in standard form. Answer [1] 2 The bearing of Q from P is 072°. Find the bearing of P from Q. Answer [2] www.KiasuExamPaper.com 273 www.KiasuExamPaper.com 273

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 4 3 Given that , find y. Answer y [2] 4 Find two possible values of x in the range . Answer x = or [2] www.KiasuExamPaper.com 274 www.KiasuExamPaper.com 274

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 [Turn Over 5 5 Expand and simplify . Answer Answer [3] 6 A collector has a collection of Pokémon cards. 34% of the cards are Common rarity. Of the remaining cards, 60% are Rare rarity. The other 132 cards are Legendary rarity. Calculate the total number of cards in the collection. Answer [3] www.KiasuExamPaper.com 275 www.KiasuExamPaper.com 275

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 6 7 The sum of the interior angles of a regular polygon is 2340°. (a) Find the number of sides of the polygon. Answer [2] (b) Hence, find the size of each exterior angle of the polygon. Answer [1] 8 (a) Make x the subject of the formula. Answer x = [2] (b) Hence, find the value of x when p = 3. Answer x = [1] www.KiasuExamPaper.com 276 www.KiasuExamPaper.com 276

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 [Turn Over 7 9 The diagram shows triangle ABC. (a) Construct the perpendicular bisector of AB. [1] (b) Construct the bisector of angle ABC. [1] (c) A point P lies inside the triangle such that P is nearer to A than to B, and nearer to BA than to BC. Shade the region in which P must lie. [1] A B C www.KiasuExamPaper.com 277 www.KiasuExamPaper.com 277

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 8 10 The intensity of light, I lux, received from a light source is inversely proportional to the square of the distance, d metres, from the source. The distance from the source is increased by 60% of its original value. Calculate the percentage reduction in the intensity of light. Answer % [3] www.KiasuExamPaper.com 278 www.KiasuExamPaper.com 278

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 [Turn Over 9 11 The stem-and-leaf diagram shows the reaction times, in seconds, of 12 drivers when responding to an unexpected hazard during a driving assessment. Key: 3 1 represents 3.1 seconds The median of the data is 3.65. Find (a) the interquartile range of reaction times, Answer seconds [1] (b) the value of c. Answer c = [2] www.KiasuExamPaper.com 279 www.KiasuExamPaper.com 279

Riverside Secondary School 2026/PRELIM/4E/5N/EM/4052/01 10 12 A company manufactures two geometrically similar replica of World Cup trophies: a standard replica and a large replica. The amount of gold plating needed for the large replica is 4 times the amount of gold plating needed for the standard replica. (a) Find the ratio of the height of the standard replica to the height of the large replica. Answer : [1] (b) The standard replica has a mass of 300 g. Calculate the mass of the large replica. Answer g [2] www.KiasuExamPaper.com 280 www.KiasuExamPaper.com 280