KSS 2020 P1 (QP)

Candidate Name: __________________________ ( ) Class: _________ KRANJI SECONDARY SCHOOL Preliminary Examination Secondary 4 Normal (Academic) MATHEMATICS 4045/01 Paper 1 Thursday 30 July 2020 2 hr KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI SECONDARY KRANJI READ THESE INSTRUCTIONS FIRST: Write your name, class and register 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, 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. 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 total of the marks for this paper is 80. 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 , use either your calculator value or 3.142. Setter: Ms Janny Yap This question paper consists of 24 printed pages, including the cover page. [Turn over 4N(A) Session 2 For Examiner’s Use Total 80

Mathematical Formulae Compound Interest Total amount = Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4r2 Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = r , where  is in radians Sector area = , where  is in radians Trigonometry Statistics Mean = Standard deviation = nrP    1001 hr2 3 1 3 3 4 r Cabsin2 1 2 2 1r C c B b A a sinsinsin  Abccba cos2222   f fx 22        f fx f fx

3 Answer all the questions. 1 (a) Calculate the value of 8.13 4.71 6.4 2.68   . Answer …………………………… [1] (b) Calculate 352.1 2.1 , giving your answer to 2 decimal places. Answer …………………………… [1] 2 22 23 24 25 26 27 28 (a) From the above list, write down a number which is a perfect square. Answer …………………………… [1] (b) From the above list, write down a prime number. Answer …………………………… [1]

4 3 Hand sanitizer is sold in two sizes, small and large. Find which of the two sizes give the better value. You must show all your working. Answer …………….…………….……………………………………………… .……………………………..………………………….…………... [2] 150 ml SMALL 200 ml LARGE $7.50 $10.20

5 4 The first 4 terms of a sequence are 5, 3, 1, 1 ,… (a) Find an expression for the nth term of this sequence. Answer …………………………… [1] (b) The pth term in the sequence is 27 . Find p. Answer p =………………………… [2] 5 In December, Melvin’s salary was $4160. This was a 4% increase of November’s salary. Calculate his salary in November. Answer $…………………………... [2]

6 6 (a) Given that 122 16 a , find a. Answer a =………………………… [1] (b) Simplify 5 3 2 7 14p q q , leaving your answer in positive index notation. Answer …………………………… [1]

7 7 Nuru leaves home at 6.30 am and travels to school at an average speed of 24 km/h. She arrives at school at 7.04 am. How far is Nuru’s home to her school? Answer …………………………. km [2] 8 y is inversely proportional toxand 2y when 4x . Find the value of y when 1 2x . Answer y = ………………………… [2]

8 9 A map is drawn to a scale of 1: 300 000. The distance on the map between town A and town B is 7 cm. (a) Calculate the actual distance, in kilometres, between town A and town B. Answer …………………………… km [2] (b) A lake has an area of 18 km2. Find the area of the lake on the map in square centimetres. Answer …………………………… cm2 [2]

9 10 (a) Factorise 264 49a  . Answer …………………………… [1] (b) Factorise completely 5 10 2my m ny n   . Answer …………………………… [2]

10 11 A bag contains only 10 red balls, 7 green balls and 8 blue balls. Gaytri takes one ball at random from the bag. (a) Find the probability that the ball is red. Answer …………………………… [1] (b) Find the probability that the ball is not green. Answer …………………………… [1] (c) Find the probability that the ball is black. Answer ………………………… [1]