RGS_2016_Y1_MA_EYA.pdf

Raffles Girls’ School (SECONDARY) Class: Year 1/ Register No: MATHEMATICS YEAR ONE END OF YEAR ASSESSMENT Wednesday 5" October 2016 1 hour 40 minutes INSTRUCTIONS TO CANDIDATES For examiners’ use Write in dark blue or black ink. Q1 I 4 You may use a pencil for any diagrams or graphs. Q2 /3 Answer ALL the questions in the space provided. Q3 /4 Omission of essential working will result in a loss of marks. Q4 /15 The use of an approved scientific calculator is expected, where Q5 15 appropriate. Q6 /5 If the degree of accuracy is not specified in the question, and if the a7 /7 answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. Qs /7 For &, use your calculator value, unless the question requires the Q9 /6 answer in terms of &. Q10 /13 You are reminded of the need for clear presentation in your answers. ati / 10 INFORMATION FOR CANDIDATES Qi2 16 The number of marks is given in brackets [ ] at the end of each P, A, U question or part question. Total 165 The total number of marks for this paper is 65. Parent’s / guardian’s Name: Signature: Date: This paper consists of 15 printed pages and 1 blank page. [Turn Over

2 (@) J8, o 21, -6 a9 From the given list, write down all the numbers that are 0] rational numbers, [1] (i) natural numbers. 1 (b) State the smallest positive value of p such that 2*x7°xp is both a perfect square and a perfect cube. Leave your answer in index notation. [2] 3p+1_plp—4) Express as a single fraction in its simplest form. 3] Raffles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment

3 In the figure below, PORSTU is a polygon on a Cartesian plane. y A Q R P s T X > U @) Find the sum of all the interior angles of the polygon PORSTU. 2] (i) Name the line segment of the polygon that has the equation: (@ y=3, ® y=x-3. (2] Raffles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment [Turn Over

4 A group of students were tasked to fold paper-flowers for Teachers’ Day celebration. The following table shows the number of paper-flowers folded in a week by them. Number of paper-flowers 10 20 30 40 folded in a week Number of students 20 x 5 10 (i) Find the value of x if the mean number of paper-flowers folded in a week is 21.25. B3] (if) Find the maximum value of x such that the median number of paper-flowers folded in a week is 10. [2] Raffles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment

5 Good News Café is selling two new drinks, Refreshing and Cheerful. The cost of preparing each of these drinks is 70 cents and $1.05 respectively. 0] On Monday, the café sold x cups of Refreshing and y cups of Cheerful with a total production cost of $62.30 for these two drinks. Form an equation in x and y and show that it reduces to 2x+3y=178. [1] (if) A total of 73 cups of Refieshing and Cheerful was sold on that Monday. Form another equation in x and y and