2022 BSS Sec 2 EOY Math

BP-42 BEATTY SECONDARY SCHOOL ENDOF.YEAR EXAMINATION 2022 SECONDARY TWO EXPRESS CANDIDATE NAME CLASS REGISTER NUMBER MATHEMATICS Paper 1 Setter: Candidates answer on the Question Paper Additional Materials: Nil 6 October 2022 I hour 30 minutes READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. The number of marks is given in brackets [ ] at the end of each question or part question lf working is needed for any question, it must be shown with the answer. Omission of essential working will result in loss of marks. The total of the marks for this paper is 50. The use of an approved scientific calculator is expected, where appropriate. lf 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 Forz , use either your calculator value ot 3.142. For Examiner's Use PartnerlnLeaming 40 This document mnsists of !l printed pages and I blank page.

BP-44 I There are 7 red balls, l0 yellow balls, and 8 blue balls in a bag. A ball is chosen at random fiom the bag. (a) Find the probability that the chosen ball is black. Answer tll O) Find the probability that the chosen ball is either red or yellow. Answer: tll (c) Some green balls are added into the bag such that the probability ofchoosing a yellow ball at random is 0.2 Find the new total number ofballs in the bag. Answer: balls [2] PartnerlnLearning 42

BP-45 2 (a) Factorise 2x'z+3y-2ry-3x completely. (b) Hence, or otherwise, simplifu zx +3y-Lry-5x Answer Answer: t2l 12) PartnerlnLearning 43

BP-46 3 (a) Expand 1 x+-x (b) I Given that x' + j = 7 and x > 0, find the value ofx Answer; Answer tll ttl (i) (iD Ix--x I.r+-x 2 Answer: (c) Find the value of 200.52 -199.52 using factorisation Answer PartnerlnLeaming 44 t2) tll

BP.47 4 (a) y is inversely proportional to the square of.r. It is known that y =12 for a parlricular value ofx. When x is increased by 100%, find (, the value ofy, Answer: 12) (ii) the percentage decrease in the value ofy. Answer: % l2l(b) The graph below shows the relationship between two variables p and q q Grace claims that 4 is directly proportional top. Do you agree? Explain your answer with reference to the graph. disagree because po Answer: I ageel PartnerlnLeaming 45 I2l

BP-48 5 Solve the following simultaneous equations. 2P -5q = 4.75 3P +8q = 4.5 p q Answer t3l PartnerlnLeaming 46

BP-49 6 ln the diagram, BC =l2cm, AC =35cm, and AB =37 cm. A 37 D (a) Showthatangle ACB =90" . Answer: B 12 C 12) O) Write down the exact value of tan BAC . Answer: Answer t1l (c) Given that cos CID = 0.8 , find the length of lD. PartnerlnLeaming 47 cm t2)

BP- 5O (d) Find angle -BlD (e) Find the shortest distance fiom D to lC t3lAnswer; Answer cm t2) PartnerlnLeaming 48

BP-51 7 The back-to-back stem-andJeaf diagram shows the scores of students in two different classes for the same Mathematics quiz. Class A Key 0 | 5 | 2 means 50 marks for Class A and 52 marks for Class B (a) Which class had the student with the highest score? Answer: Class tll (b) Which class had the student with the lowest score? Answer: Class tll (c) Find the modal score ofboth classes Answer: Class A Class B tll (d) Find the percentage of students who scores 70 marks and above in each class. Answer: Class A ClassB _% l2l (e) Is the mean or median a better representation ofthe central tendency ofthe scores ofthe students in each class? Explain your answer clearly. Stem 5 6 7 8 9 l0 BClass 409969853209997766429887 66320 2689258899 027 8 000 467889034677 Answer: 49 t2)

BP-52 8 In the diagram, the two quadrilaterals are congrr.ent- GH = KL=lDcm, HI = 12 cm, angle HIJ = angle LMN =140" , ar.gle GHI = 78', and angle HGJ =92" . G M l0 J L l0H 12 (a) Name the quadrilateral congruent to GIII"/. O) Find the length of ZM (c) Find angle Zr(N. (d) Find angle iOrK K Answer: Answer: Answer: Answer: cm [1] tll tll 140. 92' 78' 140. t2l PartnerlnLeaming 50