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MATHS PT3 PPT

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Published in: Mathematics
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PT3 Trials Paper

Helena F / Ampang

10 years of teaching experience

Qualification: B.S. Hons. Chemical Engineering

Teaches: Chemistry, Mathematics, Physics, Science, Additional Math, Modern Maths

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  1. K DU KOTA DAM ANSA RA ERLANGAN ASAS KEJ SM SRI ARAHAN: UJIAN BERTULIS OKTOBER 2 Jam 1. 2. 3. 4. Buka kertas soalan ini apabila diberitahu. Tulis nama dan angka giliran anda pada ruang yang disediakan. Jawapan anda hendaklah ditulis pada ruang jawapan yang disediakan dalam kertas soalan ini. Kertas soalan ini hendaklah diserahkan kepada pengawas peperiksaan pada akhir peperiksaan. Untuk Kegunaan Pemeriksa Nama Pemeriksa: Soalan 1 2 3 4 5 6 7 8 9 10 Jumlah Markah Penuh 10 10 10 10 10 10 10 10 10 10 100 Markah Diperoleh NAMA oooooooooooooo ANGKA GILIRAN
  2. MATHEMATICAL FORMULAE The following formulae may be helpful in answering the questions. The symbols given are commonly used. 1 2 3 4 5 6 7 8 1 2 3 4 a a X an RELATIONS 2 (am Y = amn Distance = Midpoint Xl + X2 2 Average speed 2 distance travelled tine taken sum of data Mean number of data Pythagoras Theorem SHAPES AND SPACE Area of rectangle = length x width Area of triangle = 1 — x base x height 2 Area of parallelogram = base x height Area of trapezium = 1 x sum of parallel sides x height 2 2
  3. 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Circumference of circle Area of circle = ltr2 ltd hr 27trh Curved surface area of cylinder Surface area of sphere = 47tr2 Volume of right prism = cross sectional area x length Volume of cuboid = length x width x height Volume of cylinder = 7tr2h 1 Volume of cone = — 7tr2h 3 4 Volume of sphere — r3 3 1 Volume of right pyramid = — x base area x height 3 Sum of interior angles of a polygon = (n 2) x 1800 arc length circumfere nce of circle angle subtended at centre 3600 area of sector area of circle Scale factor, k = angle subtended at centre 3600 PA Area of image = k2 x area of object 3
  4. Answer all questions. QUESTION 1 1 (a) Write the place value and digit value for the following underlined numbers. Answer : Number (i) 6220 (ii) 9&990 (iii) 732455 (b)(i) Calculate the value of Answer : (ii) Calculate the value of Answer: 26 3 1- 4 Place value 6(—16 . 1 x 0.56 2 4 Digit value ( 3 marks ) ( 4 marks )
  5. (c) In a stall, the amount of durians and manggosteens sold, in kg, were in the ratio of 13 : 7. At the same time, the ratio of the mass of rambutans sold to the mangosteens was 3 : 2. Find the ratio of the mass of durians sold to the rambutans sold. Answer: List three prime numbers from 50 — 60 Answer: (b)(i) Find the value of : 3 64 Answer: (ii) Calculate the value of : ( 12- Answer: ( 3 marks ) ( 3 marks ) ( 4 marks ) 5
  6. (c) 3(a) The mass of an empty box is 2 kg. However, when the box is filled up with several cans of sardines of the same size, the mass becomes 6 kg 550 g. The mass of a can of sardine is 650 g. How many cans of sardines are there in the box ? Answer: ( 3 marks) Diagram below shows an equilateral triangle, JKL. JLQ and NLM are straight lines. Find the value of y. 1300 yo Answer: ( 3 marks ) 6
  7. (b) (i) (ii) (iii) Diagram below shows a quadrilateral PQRS 600 Using only a ruler and a pair of compasses, construct quadrilateral PQRS as shown in Diagram 17 using the straight lines PS and SR provided in the answer space. Based on the diagram constructed in (a), construct QT, angle bisector of the Z PQR such that point T lies on the line PS. Measure the length QT. Answer : (i), (ii) (iii) s cm (4 marks ) 7
  8. (c) Table below shows the scores of school S, T, U in a Mathematics quiz. All schools must answer 20 questions. Each correct answer will be given 3 marks whereas for incorrect answer will be given (—2) marks. School Correct Answer Find the difference in scores of schools S and school U. Answer : 8 ( 3 marks )
  9. 4(a) (b) In Diagram below, PQRS is a rectangle and STUV is a square. Given that PQ 6 cm Express in terms of x, the area of the shaded region, in crn2 Answer : ( 3 marks ) Simplify the following ( 4 marks ) 9
  10. (c) Factorise the following. Answer: (i) 15jk 5k (ii) 48 2 12m Convert the following to the given units Answer: (iii) 0.088 km = 533mm 77 cm ( 3 marks ) m cm m ( 3 marks ) Kim uses 2.75 kg, 1500 g and I—kg of flour to bake cakes, biscuits and bread respectively in a day. She buys the flour in packets of 5 kg each. Find the number of packets of flour she uses for 10 days ( 3 marks ) 10
  11. (c) Diagram in the answer space shows a square ABCD. X and Y are two moving points in the diagram l) In diagram, construct i) the locus of Y such that XA = XB ii) the locus of Z such that YA= DA. (Il) Hence, mark with the symbol @ the intersection of the locus X and Y. Answer: 11 B ( 4 marks )
  12. 6(a) In diagram below, I-JOT is the diameter of the circle with centre O. Given that the radius of the circle is 5 cm. 1 cm Find the length, in cm, of ST. Leave your answer in 2 d.p. Answer: ( 3 marks ) 6(b)(i) In diagram below, O is the centre of the circle and PQR is a straight line. s 500 80 Find the value of x. Answer : 12
  13. (b)(ii) (c) Diagram below shows a semicircle EFGH with centre O. 200 H Find the value of y. Answer : Table below shows two numbers with their prime factors. Number 63 90 Find the product of p and q. Answer: Prime factors 13 Given that FG = GH ( 4 marks ) ( 3 marks )
  14. State the number of line(s) of symmetry for the following shapes. Answer: ( 3 marks ) 14
  15. (b)(i) Diagram in the answer space shows a Cartesian plan. Triangle ABC is rotated 900 anti- clockwise about the origin. Draw its image (ii) If P( 2,6) is rotated under the same rotation. Find its image and mark P'. (c) Answer: ( 4 marks ) Diagram in the answer space shows an object P and a straight line AB drawn on square grids. Draw the image of the object P under a reflection along the line AB. ( 3 marks ) 15
  16. 8(a) Diagram in the answer space shows polygon ABCDEFG and straight line PQ drawn on a grid of equal squares. Starting from the line PQ, draw polygon PQRSTUV which is congruent to polygon ABCDEFG. Answer: ox—eaooaoooo (b)(i) Simplify (p2)4 Answer: (ii) Given that 72 x Answer: (2 marks ) , calculate the value of x. 7 ( 4 marks ) 16
  17. (c)(i) (ii) List all integers of y, given -1 2 y > 3 Draw a number line to represent all the integer values of y that satisfy 5
  18. (b) ( 3 marks ) Table below shows the average temperature of town K from February 1st to 7th Date 1 2 3 4 5 6 7 Temperature 10 25 30 45 25 25 40 On the square grid provided in the answer space, draw a line graph to represent the information given in the table. Answer: aaaaaooaaaaaoaaaoaoo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo oooooooooooooooooooo [4 marks] 18
  19. (c) 10(a) 5 Express x Answer . as a single fraction in its simplest form. ( 3 marks ) Diagram below shows two right—angled triangles PQT and QRS. 8 cm Given that sin x = 12 and tan y = — 5 5 i) Calculate the value of cos y. ii) Calculate the length, in cm, of TS. Answer: 19 ( 3 marks )
  20. Table below shows the values of the variables, x and y, of a function. x -3 -32 -2 -13 -1 -6 -5 1 -4 2 3 3 22 (c) By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 10 units on the y-axis, draw the graph of the function on the graph paper provided in the answer space. (4 marks ) Answer: (Refer to graph on next page) 3, express vin terms of k. Given that k Answer: ( 3 marks ) 20
  21. Prepared by Verified by Amroved by • Mr Prakash • Mr Kaneson : The Principal END OF QUESTION PAPER 21

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