TMS 2023 1E Math P2 (QP)

[Turn over Name:________________________ Index Number: ______ Class: _______ TEMASEK SECONDARY SCHOOL Final Term Examination 2023 Secondary One Express MATHEMATICS Paper 2 1 hour 15 minutes Question and Answer Booklet READ THESE INSTRUCTIONS FIRST Do not open the booklet until you are told to do so. You are required to submit this booklet at the end of the paper. Write your name, index number and class on all the work you hand in. Write in dark blue or black pen. You may use a HB pencil for any diagrams or graphs. Do not use staples, paper clips, 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 a 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 one 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 number of marks for this paper is 50. This document consists of 15 printed pages and 1 blank page. For Examiner’s Use 50 Calculator model:

2 Mathematical Formulae Compound Interest Total amount = n rP    + 1001 Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 3 1 πr2h Volume of a sphere = 3 4 πr3 Area of triangle ABC = 2 1 ab sin C Arc length = rθ, where θ is in radians Sector area = 2 1 r2θ, where θ is in radians Trigonometry C c B b A a sinsinsin == a2 = b2 + c2 − 2bc cos A Statistics Mean = f fx   Standard deviation = 22        −  f fx f fx

3 [Turn over Answer all the questions. 1 The area of Singapore is 728 600 000 m2. This number has been rounded to 4 significant figures. What is the largest and the smallest possible integer value of the area of Singapore? Answer Largest = ……………………… m2 [1] Smallest = ……………………… m2 [1] 2 Factorise each of the expressions completely. (a) 30 3 18abc ab bc+− , Answer ………………………… [1] (b) 4 3(2 6)yz+− . Answer ………………………… [2]

4 3 Gretchen and her friends ate at a restaurant. The marked price of the food they ordered is $268.35. With a membership card, they were then given a 5% discount. Given that there is a service charge of 10% and GST is at 8%, calculate the total amount paid by Gretchen and her friends. Answer $……………………… [3]

5 [Turn over 4 The numbers 2156 and 2800, written as the product of their prime factors, are 222156 2 7 11=   , 422800 2 5 7=   . (a) Find the highest common factor of 2156 and 2800. Answer ……………………… [1] (b) Find the smallest positive integer k such that 2156k is a perfect square. Answer ……………………… [1] (c) Find the smallest positive integer q such that 2156q is a multiple of 2800. Answer ……………………… [2]

6 5 In the diagram below, AB is parallel to CD, 26BAE= , ( )3 29CDE x = − and reflex ( )5 15DEA x = + . Find the value of x. Show your working clearly with the reasons stated. Answer x = ……………………… [4]

7 [Turn over 6 Daniel cycled from home to a supermarket. On his way home, he stopped by a food centre to have his breakfast. The distance – time graph for his entire journey is shown below. (a) What is the distance between the supermarket and food centre? Answer …………………………… km [1] (b) Find the total time Daniel stayed at the supermarket and the food centre. Answer ……………………………… h [1] (c) Find the gradient of the line segment OA, stating clearly what the gradient represents. Answer Gradient = ………………The gradient represents…………………… ………………………………………………………………………………[2] 11 00 10 00 09 00 08 00 07 00 20 15 10 5 0 O A B C D E Distance from home (km) Time (hours)

8 7 Simplify (a) 3 4 2a b c− , Answer ……………………… [1] (b) 3( 2 )p q p−− , Answer ……………………… [2] (c) 5 1 7( 3) 68 xx−++ . Answer ……………………… [3]

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10 8 In the grid provided, line L has been drawn. (a) The equation of line L is given as 4y x p=+ . State the value of p. Answer p = ……………………… [1] The given table of values for another linear graph, 21yx=− + . x 2− 1 q y 5 1− 3− (b) Calculate the value of q. Answer q =……………………… [1] L