KSS 2023 4045 4NA P2 QP

Candidate Name Class: Secondary ) 4NA (Session 1) ONDARY SCHOOL Examination lormal (Academic) 4th August 2023 KRANJISECONDARY KRANJISECONDARY KRANJISECONDARY KRANJ' KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY XRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJISECONDARY KRANJISECONDARY KRANJISECONDARY KRANJISECONDARY Write your class, index number and name in the spaces at the top of this prg". 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. Section A Answer all questions Section B Answer one question. 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 70. 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 your answers in degrees to one decimal place. For r, use either your calculator value or 3.142. For Examiner's Use Total 70 Set by: Mr Aziz This question paper consists of 18 printedrpages, including the cover page. i [Turn over ,WT"EMATICS 'wi2' $W'm W 2h&{w

*--=--*j ir-:-) 2 Compound Interest Mensuration Trigonometry Statistics Mathematical Formulae 1+ ' 100 Mean: 'Zf*' Zr Total amount: Curved surface areaof a cone: nrl Surface area ofa sphere :4nf Volume of a cone - !*'h -1 Volume of a sphere: 7y' n T J 1 Sector area: lr'0 ,where I is inradians 2 Arc length : r0, where d is in radians a b c sinA sin-B sinC a' = b' + c' - 2bccos A Area of tria ngle ABC: labsinC2 Zf.Zr Zr.Standard deviation: \ Zr

1J Section A(62marks) Answer all the questions in this section. 1 (a) Calculate 1El4:. Answer (b) By rounding each number to 1 significant figure, estimate the value of 7.88x 551.7 0.0842 You must show your working. Answer t1l ....12) 2 (a) Write 0.000 987 in standard form. Answer (b) The population of Singapore in 2022 was 5.642x 106 . The area of Singapore is 7.18 xIO' ksr? . t1l Calculate the average number of people psr square kilomeke in Singapore in2022. Leave your answer in standard form. Answer \ . people twrr2 721 \

4 3 A B (b) the value of n. C D E The diagram above is made up of a square, a regular pentagon and parts of an incomplete regular polygon ABCDE of n sides. Find (a) IBCD, t Answer Answer 'l2l L

rt-ffi 5 4 The stem-andJeaf diagram shows the weight, in kilograms, of 20 Secondary I students in Kranji S'econdary School. 4 5 6 7 1 1 J 2 0 0 0 1 5799 5 91 1 4 9 6 6 Key:4l0means40 Find (a) the number of students with weight at least 51 kg, Answer (b) the standard deviation of all the weights Answer t1l \ kel2l 5 The general term of a sequence is T, = -1*lJ (a) Find the 3'd term in the sequence. Answer (b) Given that T,