Math - Sec 2 - SA 2 - 2021 - Queensway Sec

BP-368 Calculator Model: - ----- INAME: I CLASS: I INDEX NO: QUEENSWAY SECONDARY SCHOOL r.======== END-OF-YEAR EXAMINATION 2021 SECONDARY 2 EXPRESS MATHEMATICS Paper1 Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Signature: 4048/01 6th Oct 2021 1 hour Write your name, class and index number 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 tape. 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 one decimal place. For re, use either your calculator value or 3.142, unless the question requires the answer in terms of re. At the end of the examination, fasten all your work securely together. The number of marks is given in bracket [] at the end of each question or part question. The total number of marks for this paper is 40. Setter: Mr Tham YH This document consists of 10 printed pages. PartnerlnLearning 368 [Turn over

--- --·--- - --- -- - -- ---- ---- ----------- - ------- Answer all the questions l(a) U 1 1 1 152 ✓ 64 . 27-\1-126.s d . d h fi 5 d' . se a ca cu ator to eva uate . + ----- an wnte own t e irst 1g1ts. l.lrr Answer: ___________ [l] (b) Write your answer to part (a) c01Tect to 2 significant figures. (c) 4 Express 1- as a percentage. 25 Answer: [1] -------- Answer: ___________ % [1] 2. It takes 12 men to dig a pond in 8 days. (a) How many men are required to dig the same pond in 6 days? Answer: [2] -------- (b) State one assumption you made when doing your calculation in part (a). 2 Partnerlnlearning 369 [l] BP-369

3(a) (b) S. 1·f xz-yz . 3x+3y Imp 1 y -- ...,.. --. Sh 3 k 10hk 1-2p -3p Solve-->- . 3 11 Answer: [3] -------- Answer: ___________ [2] 3 Partnerlnlearning 370

4. Solve the pair of simultaneous equations. X y 11 -+-=-3 2 6 7x + 3y = 1 Answer:x= 4 Partnerlnlearning 371 ------------ y = ________ [3]

5. Expand and simplify each of the following expressions. (a) 7x2 - (2x - l)(x + 1) Answer: [2] -------- (b) 3(2p - 5)2 Answer: [2] -------- 6. The time difference, t, in minutes, taken for an object to travel from point A to B and the return journey is given by the equation (t + 6)(t - 8) = 72 . By solving the equation (t + 6)(t - 8) = 72, find the time difference t, in minutes. Answer: minutes [3] ----- - --- 5 PartnerlnLearning 372 BP-372

7. T .. In the diagram below, AE = 5 cm, AD= 2cm, 4EAB = 3UlntlQJJ.38.6°. DE is a straight line and Fis a point on DE. Find, Wit (a) the length of AB, Answer: __________ cm [I] (b) the length of BE, Answer: __________ cm [I] ( c) the area of triangle AFE, correct to 2 significant figures. Answer: __________ cm2 [2] 6 Partnerlnlearning 373 BP-3i

8. ABCDV is a square pyramid with AB= 12 cm.Mis the mid-point of AB. V (a) Given that the volume of the pyramid is 720 cm3, fmd the vertical height of the pyramid, VN. Answer: __________ cm [2] (b) Calculate the length ofVM. Answer: __________ cm [I] ( c) Find the total surface area of the pyramid. Answer: __________ cm2 [2] 7 PartnerlnLearning 374 BP-374

9. In the diagram, ABC is an isosceles triangle with 4ABC = 74° and 4HGC = 152°. AC is produced to the point D. AGD, BCE and HGF are straight lines. B Tuition • ' ~ A (a) Find 4ACB. F Answer: ___________ 0 [1] (b) Given that triangle AHG and triangle DFG are congruent, find (i) 4GDF, Answer: 0 [ 1] ---------- (ii) 4GFD Answer: __________ 0 [1] (c) Explain if triangle CDE is similar to triangle CAB. --------------------- [2] 8 Partnerlnlearning 375 BP-375

10. The time taken by 30 students to complete a task is tabulated in the table shown below . Time (in minutes) Frequency 0 < t:::;; 10 2 10 < t:::;; 20 18 20 < t:::;; 30 X 30 < t:::;; 40 3 (a) Find the value of x. Answer: [l] --------- (b) On the grid, draw a histogram to represent the above information . 15 Frequency 5 0 20 9 Partnerlnlearning 376 30 40 [2] t (min)

( c) Calculate the percentage of students who took between 10 minutes to 30 minutes to complete a task. Answer: ___________ % [1] ( d) Jialing says that the most common timing taken to complete the task is between 20 to 30 minutes . Explain if you agree with her. ____________________ [!] End of Paper 10 Partnerlnlearning 377 BP-377