RGS 2021 Y1 MATH EYA

This Question Paper consists of 19 printed pages including the cover page. [Turn Over INSTRUCTIONS TO CANDIDATES Write your name, class and register number on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagram or graphs. Do not use staples, paper clips, glue or correction tape. Answer all the questions in the space provided. Give non -exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. Omission of essential working will result in a loss of marks. You are reminded of the need for clear presentation in your answers. INFORMATION FOR CANDIDATES The number of marks is given in brack ets [ ] at the end of each question or part question. The total number of marks for this paper is 80 and the weighting is 45%. Raffles Girls’ School (SECONDARY) Name: Class: 1 / Register No: MATHEMATICS YEAR ONE End-of-Year Assessment Friday 8 October 2021 2 hours For examiners’ use Question Marks 1 /4 2 /2 3 /5 4 /3 5 /8 6 /6 7 /4 8 /4 9 /5 10 /4 11 /3 12 /8 13 /6 14 /8 15 /10 PAU Total Marks 80 Parent’s / guardian’s Name: Signature: Date: Established in 1879

Raffles Girls’ School (Secondary) 2021 Y1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 2 1 (i) Express the following numbers correct to 2 significant figures. (a) 895.899 [1] (b) 0.044772 [1] (ii) Hence, without the use of a calculator, estimate the value of 895.899 0.044772´100 , giving your answer correct to 1 significant figure. [2] 2 Solve the equation  8 2 3 4 5xx    . [2]

Raffles Girls’ School (Secondary) 2021 Year 1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 3 [Turn Over 3 (i) Find the prime factors of 216 and 540, giving your answers in index form. [2] (ii) Using the answers obtained in part (i), state the following, leaving your answers in index form. (a) highest common factor of 216 and 540, [1] (b) lowest common multiple of 216 and 540. [1] (iii) Write down the smallest positive integer value of q such that 540q3 is a whole number. [1]

Raffles Girls’ School (Secondary) 2021 Y1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 4 4 The grid below shows triangle PQR. (a) State the gradient of the line PQ. [1] (b) Write down the coordinates of S such that PQRS is a parallelogram. [1] (c) On the grid, draw and label the graph of x = 5. [1] −4

Raffles Girls’ School (Secondary) 2021 Year 1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 5 [Turn Over 5 (a) Express 22 836 x x as a single fraction in its simplest form. [3] (b) Expand and simplify 6 5 a + 2b( ) - 3 2 a + 4b( )é ëê ù ûú . [3] (c) Factorise 28hk +14h2 - 4h 3- k( ) , expressing your answer in its simplest form. [2]

Raffles Girls’ School (Secondary) 2021 Y1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 6 6 A man drives a total distance of 176 km on a journey. He drives the first x km at an average speed of 96 km/h and the rest of the journey at an average speed of 80 km/h. The whole journey took 2 hours and 5 minutes. (i) Write down an expression of the time taken, in terms of x, for the first part of the journey. [1] (ii) Form an equation in terms of x and solve it. [4] (iii) Find the time taken, in minutes, for the first part of the journey. [1]

Raffles Girls’ School (Secondary) 2021 Year 1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 7 [Turn Over 7 Amy, Xinyee and Shruti invested $50 000, $37 500 and $87 500 respectively in a start -up business. (i) Express the ratio of Amy’s share: Xinyee’s share : Shruti’s share in the simplest form.[1] Three years later, they sold the business for $345 000. They agreed to share the profit in the ratio of their investments. (ii) How much profit did Amy receive? Leave your answer in dollars correct to the nearest cents. [3]

Raffles Girls’ School (Secondary) 2021 Y1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 8 8 Solve the following pair of simultaneous equations. [4] 2 8 21xy 8(y +3) = 4x – 9

Raffles Girls’ School (Secondary) 2021 Year 1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 9 [Turn Over 9 (a) The cost of an air-ticket from Singapore to Sydney was increased from $800 to $1240. Calculate the percentage increase. [2] (b) The number of flights from the airport decreased by 67% from 2019 to 2020. In 2020 there were 126 060 flights. Calculate the number of flights in 2019. [3]

Raffles Girls’ School (Secondary) 2021 Y1 Mathematics End-of-Year Assessment __________________________________________________________________________________ 10 10 In the figure above, EFG is parallel to BAH, 35FDC   , 112EFD   and reflex 325ACD   . (i) Is AC parallel to FD? Support your answer with reasons. [2] (ii) Find BAC , stating your reasons clearly. [2] H D A B H C E F G 35° 112° 325°