1 霹雳怡保培南独立中学 SM POI LAM (SUWA) IPOH FINAL EXAMINATION 2023 MATHEMATICS PAPER TWO DATE: TIME : 1 NOVEMBER 2023 (WEDNESDAY ) 1100 - 1230 (1 Hour 30 Minutes) NAME：______________________ REG NO:_________________ CLASS: S1YI / S1PIN / S1HE / S1AI / S1LI / S1ZI INSTRUCTIONS • Answer all questions. • Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. • Write your name and student registration number in the boxes at the top of the page. • Write your answer to each question in the space provided. • Do not use an erasable pen or correction fluid. • You should use a calculator where appropriate. • You must show all necessary working clearly. • Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. INFORMATION • The total mark for this paper is 70. • The number of marks for each question or part question is shown in brackets [ ]. Do Not Turn Over This Page Until You Are Told To Do So This paper consists of 12 printed pages including cover page. Prepared by ： ………………… (MS. KOO KAR KEI) Checked by： Ong ………………… (MR.ONG EIK HOOI) Koo
2 1. Write the number 2381.597 correct to a) 3 significant figures, [1] b) 2 decimal places, [1] c) the nearest hundred. [1] 2. A journey starts at 2115 one day and ends at 0433 the next day. Calculate the time taken, in hours and minutes. ………..h ……….min [1] 3. A circle has a diameter of 50cm.Calculate the area of the semicircle. [2] 4. Make d the subject of the formula. =! 2 + 5 [3]
3 5. Write the following in order of size, smallest first. 4 1 √2 3 4 sin 47° ……..…….<…………….<…………….<…………... [2] 6. Write the recurring decimal 0.24̇ 7̇ as a fraction. Show all your working. [2] 7. Without using a calculator, work out 2 " ## ÷ 3 + # $ . You must show all your working and give your answer as a mixed number in its simplest form. [4]
4 8. y is inversely proportional to the cube root of (2 + 1). When = 13, = 2. Find y when x = 62. [3] 9. Wu Xuan bought a model of a bathtub has a scale 1 : 20. The volume of the actual bathtub is 12!. Find the volume of the model. Give your answer in millilitres. [3]
5 10. Write as a single fraction in its simplest form. 2 − 2 − 3 + 1 − 1 [3] 11. Line L passes through the points (0, -3) and (6, 9). a) Find the equation of line L. [3] b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2). [2]
6 12. a) Chloe invests $700 in an account paying simple interest at a rate of 2.5% per year. Calculate the value of his investment at the end of 6 years. [3] b) Kimberly invests $700 in an account paying compound interest at a rate of r% per year. At the end of 17 years the value of her investment is $1030.35 . Find the value of r. [3] 13. Solve the inequality. 4 − 5 < 2( + 4) [3]
7 14. In 2024 Colin had a salary of $7200. (a) This was an increase of 20% on his salary in 2022. Calculate his salary in 2022. [2] (b) In 2026 his salary increased to $8100. Calculate the percentage increase from 2024 to 2026. [2] 15. Angharad had an operation costing $500. She was in hospital for x days. The cost of nursing care was $170 for each day she was in hospital. a) Write down, in terms of x, an expression for the total cost of her operation and nursing care. [1] b) The total cost of her operation and nursing care was $2370. Work out how many days Angharad was in hospital. [2]
8 16. Kyle , in a race, accelerates to a speed of 12.4 metres per second in 3 seconds. He runs at this speed for the next 5 seconds and slows down over the last 2 seconds as shown in the speed-time graph above. He crosses the finish line after 10 seconds. The total distance covered is 100 m. a) Calculate the distance he runs in the first 8 seconds. [2] b) Calculate his speed when he crosses the finish line. [2]
9 17. Using a ruler and compasses only, construct this triangle. Leave in your construction arcs. The side of length 12cm has been drawn for you. [2] 18. As the temperature increases, people eat more ice cream. What type of correlation does this statement describe? [1] 9.5cm 12 cm 8 cm NOT TO SCALE
10 19. The front of a house is in the shape of a hexagon with two right angles. The other four angles are all the same size. Calculate the size of one of these angles. [3]
11 21. AD is a diameter of the circle ABCDE. Angle BAC = 22° and angle ADC = 60°. AB and ED are parallel lines. Find the values of w, x, y and z and state its’ geometrical reason. [8]
12 22. a) One of the lines in the diagram is labelled y = mx + c. Find the values of m and c. [2] b) Show, by shading all the unwanted regions on the diagram, the region defined by the inequalities ≥ 1, ≤ + , ≥ + 2 ≥ 4. Write the letter R in the region required. [3] -----END OF PAPER----
