Math - Sec2 - SA2 - 2023 - Canberra Sec

163 CANBERRA SECONDARY SCHOOL 2023 End-of-Year Examination Secondary Two Express MATHEMATICS Paper1 9 October 2023 1 hour 15 minutes 1020h - 1135h Name: ( ---------------- ) READ THESE INSTRUCTIONS FIRST Write your full name, class and index number on all the work you hand in. Write in dark blue or black ink pen on both sides of the paper. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all questions. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. Class: The use of an approved scientific calculator is expected, where appropriate. --- If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For TC, use either your calculator value or 3.142, unless the question requires the answer in terms of TC. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 50. FOR MARKER'S USE Marks Max Awarded Marks Total 50 BP-159

164 2 1 Simplify 4a(b+c)-3b(a- 7c). A ns,ver . .......... ... ..................... ... [2] 2 Factorise 12a 1 - 75. Ans1-ver ..... ....... ... . ....... .... .. ..... .. .. [2] 3 A triangle has sides AB = 8 cm, BC== l 5 cm and AC = 17 cm. (a) Explain why triangle ABC is a right-angled triangle. Answer (b) Calculate LACB Canberra Secondary School 2023 End-<>f-Year Examination [2] Annver ... .. ...................... .. ........ [2] Mathematics Paper 1 Secon,dary 2 Express BP-160

165 3 Tuitio11 4 A bag contains 5 red marbles, 6 green marbles and 3 yellow mar~les1 Matilda draws a marble at random. W} t · ·· (a) Find the probability that a green marble is drawn. Answer ...................................... [1] (b) Find the probability that the marble drawn is not red. Ansiver ...................................... [ 1] (c) If Calos adds 3 blue marbles into the bag. find the probability that Matilda draws out a blue marble. Answer ...................................... [l] 5 Given that a sphere has a volume of 700 cm3 and a cube has a volume of 729 cm3. Explain, with calculations, why even though the sphere has a smaller volume compared to the cube, the sphere cannot fit inside the cube. Answer [4) Canberra Secondary School 2023 End-of-Year Examination Mathematics Paper 1 Secondary 2 Express I.Turn Over

166 4 6 The stem and leaf diagram below states the data collected on the scores of two classes during a Mathematics te~t. Class A Stem 5 4 9 0 1 0 2 6 6 7 8 2 Key: Class A 9 I O neans 9 marks (a) How many students took the test? (b) What is the highest E.core obtained? (c) The passing mark was 15. Class B ., 4 4 2 5 8 8 9 0 0 5 Class B 0 i 2