RGS 2016 Y1 MA EYA

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 hence, find the number of cups of each drink sold. [4] Raffles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment [Turn Over

24 employees from Company Elite completed a staff satisfaction survey. The scores for the survey are given below. 28 39 32 25 42 18 40 39 17 26 35 44 19 30 41 13 38 50 33 31 35 12 22 39 (i) State the value of o and of b in the frequncy table below. [2] Survey score, x 10<x<20 20<x<30 30<x<40 40<x<50 Frequency 5 a 10 b (ii) State the modal class. 1] (i) On the grid below, draw a histogram to represent the data. [2] Scores of staff satisfaction survey 12 10 & 8 L = =3 L = 6 4 2 Survey Score, x 0 10 20 30 40 50 Raffles Girls’ School (Secondary} 2016 Year 1 Mathematics End of Year Assessment

7 In the diagram, ABC and DEF are straight lines that are parallel to each other, AD is parallel to BG, ZADB=60°, LCBG=72° and £BGE =120°. (i) Stating your reasons clearly, find (a) «£DBG, (b) ZBDE, (¢) ZLFEG, [6] (ii) State with reasoning, the relationship between the lines BD and GE. [ Raffiles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment [Turn Over

8 Sharon is planning to buy a car. Reduced to $148,000 *With limited units only (i) The car would cost $148,000 after a 12% discount. Find the original price of the car, giving your answer to the nearest dollar. [2] (i) The total cost of manufacturing the car is $90,000. Calculate the percentage profit made when the car was sold to Sharon at the discounted price. [2] Raffles Girls’ School (Secondary) 2016 Year 1 Mathematics End of Year Assessment

(iii) The company offers Sharon a hire-purchase scheme; a 30% downpayment and subsequent payments of $2000 monthly for a period of 5 years. Calculate the additional cost Sharon would have to pay if she took up the hire-purchase scheme. ] Raffles Girls' School (Secondary)} 2016 Year 1 Mathematics End of Year Assessment [Turn Over

10 A man travelled to a museum, which is 20 km away from a town P. The diagram below is a distance-time graph of his journey. 9 Distance from town P (km) ~ w ;) 22 EZ g =i A | Iy S S S e e e e e e e ' 1 1 ' 1 1 ' t 1 ' t t 1 1 t t 1 1 ' 1 1 1 1 t [ R ek S R Rk Rk R Rt Al R Ry o] 1 1 ' 1 1 1 1 ' ' 1 ‘ t 1 1 ‘ ' 1 I 1 i 1 1 ' ] e md e m el el el cd e n e d e d e d e b 1 i ' 1 ' 1 1 1 1 1 1 1 ' 1 ' 1 ' ' 1 1 1 1 1 1 ! ! ' ! ' ! 1 ! ! 1 ! ! [t St Bl S e S e Sl el S edd Sty R ' t 1 ' ' 1 1 1 1 1 1 1 1 i | 1 ] ' ' 1 1 t ] | et S T T B St Sy St S S e [ ' 1 ' [ i ' [ ' 1 I [ ' 1 1 1 ' 1 [ ' ' 1 e + LR il R R el R e mhit [ ' 1 1 ' ' 1 ‘ 1 1 i ' 1 [ 1 1 [ ' 1 ' Pam ki T S T G R 1 ' 1 1 1 i ' 1 1 i ' 1 1 1 1 ' 1 1 ' ! 1 ! ! ! 1 1 V v 1 ? [ A it B e e B ! 1 1 ' ' 1 ' ' 1 1 ' ' 1 1 ! 1 ] | 1 1 f T T T UL et I S ' i 1 1 1 ' 1 I t 1 1 t 1 1 ' 1 1 ' 1 [ T T T Tm=Tm - T Rt S el phm} ' ' 1 1 1 ' ' 1 t t 1 1 t 1 1 ' 1 1 ' ] 3 + + d--d-— — e e 1 ' 1 1 ' 1 ! ' 1 t ' 1 ' 1 ' 1 1 ' 1 1 i ' PR L L i 5 H L 1 1 L - I i I 1 | [am] O o~ [e0] < ~ ~ — — w o &= Give a physical interpretation of the vertical-intercept. ® (1] (i) After 2 hours into his journey, how far was the man from the museum? [1] (iii) What was the time taken by the man to travel 10 km? Raffles Girls’' School (Secondary) 2016 Year 1 Mathematics End of Year Assessment