RGS 2019 Y1 Math EYA

Raffles Girls’ School (SECONDARY) Establi;d in 1879 Name: Class: Year 1/ Register No: MATHEMATICS YEAR ONE End-of-Year Assessment Thursday 3 October 2019 2 hours INSTRUCTIONS TO CANDIDATES For examiners’ use - Question Marks Write in dark blue or black ink. 1 7 You may use a pencil for any diagrams or graphs. 2 3 Answer ALL the questions in the space provided. 3 6 Omission of essential working will result in a loss of marks. : ;3 3 The use of an approved scientific calculator is expected, where 6 14 appropriate. 7 3 If the degree of accuracy is not specified in the question, and if the 8 /6 answer is not exact, give the answer to three significant figures. 9 5 Give answers in degrees to one decimal place. 10 73 For &, use your calculator value, unless the question requires the 1 5 answer in terms of 7. 12 /3 . R 13 /8 You are reminded of the need for clear presentation in your answers. 1 s INFORMATION FOR CANDIDATES 15 /3 16 /4 The number of marks is given in brackets [ ] at the end of each 17 7 question or part question. 18 /10 The total number of marks for this paper is 80 and the weighting is P,A,U o, 45%. Total Marks /80 Parent’s / guardian's Name: Signature: Date: This paper consists of 16 printed pages including the cover page. [Turn Over

2 1 During Sports Fest, Alicia recorded a timing of 12.7 seconds for the 100 m sprint event. This number had been corrected to 1 decimal place. State the largest and smallest possible values of her actual timing recorded, assuming that the stopwatch can measure up to 3 decimal places. 2] 3 2 Without the use of a calculator, evaluate %[[2—2] +0.8}, leaving your answer as a fraction. 3] Raffles Girls’ School (Secondary) 2019 Year I Mathematics End of Year Assessment

3 3 (a) (i) Express 63 and 567 as product of prime factors. [2] (i) The HCF of 63, m and 567 is 21. Find the two smallest possible values of m. [2] (ili) Write down the smallest positive value of a whole number 7 if 567n is a perfect cube. Express your answer in index notation. 1] (b) The numbers P and Q have an LCM of R. State the LCM of P and R. [1] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment {Turn Over

4 4 Mr Goh is planning a learning journey to a museum for a group of 238 students. The organiser charges $29.95 per student. Mr Goh budgeted $8 000 for the learning activity. (i) By approximating both the cost and the number of students, estimate the cost of the learning journey. Show your working clearly. [2] (i) Explain if Mr Goh has sufficient funds for this activity. 0] S Without the use of a calculator and given that g” =3k—ef , find the value of / when e = -7, f=15andg=-12. [3] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment

1.5(5x~7) -6 (a) Express =3(x-2)+ ’%x as a single fraction in its simplest form. [3] (b) Gold costs w cents per gram. Celina bought a gold necklace which costs x dollars. Write down an expression for the mass of the necklace in terms of w and x. 1] 7 Factorise the following completely: (@) 15r°s-5pr 1] () —2a(3c—5)+6b(3c—5) 2] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment [Turn Over

8 A fraction z is such that when 8 is added to the numerator, it becomes —;— . One fifth of the n sum of the numerator and denominator is 5. (i) Write down two equations relating m and ». [2] (ii) Solve the simultaneous equations in (i) by using either the substitution or elimination method and find the original fraction. [4] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment

7 9 Anopen cylindrical container of radius 12 cm and height 20 cm is to be painted on its exterior surfaces. The cost of painting a surface of area 1 m? is $9.50. () Find the total surface area that needs to be painted. Leave your answer in terms of 7 .[2] (ii) Calculate the cost of painting 15 such containers, leaving your answer to the nearest cent. [31 10 A polygon has n sides. Three of its interior angles are 84°, 126° and 150°. The remaining (n - 3) angles have an average size of 120° each. Find the value of ». 3] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment [Turn Over

11 The area of the shaded region is % of the whole circle, as shown in the diagram below. 4 () Given that the area of the circle is 144m cm?, calculate the arc length of the minor arc AB, leaving your answer in terms of m. 3] (ii) The minor sector AOB is then cut and formed into a cone by joining the two radii, O4 and OB, together. Calculate the radius of the base of the cone. [2] Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment

9 12 The wooden block 4ABCDEFYV is made up of a rectangular-based pyramid and a triangular- based prism. 4BCD, ABFE and CDEF are rectangles with AB = 25 cm, DE = 19 cm. The vertical height of triangle ADE is 12 cm and the vertical height of the wooden block is 48 cm. Find the volume of the solid. 3] 48 cm Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment [Turn Over

10 13 In the figure, ABCD is a square and ABF is an isosceles triangle so that 4B = AF, AEC and DEF are straight lines . Given that LZEAF =22, () find LBFA. 31 (i) show that AADF is an isosceles triangle, and hence find ZCDF (3] (iii) find Z4EF [2] State your reasons clearly. Raffles Girls’ School (Secondary) 2019 Year 1 Mathematics End of Year Assessment