TJC 2021 IP1 FM EOY (Questions & Answers)

1 [Turn over TemasekJC/IP1/FM/EOY/2021 TEMASEK JC INTEGRATED PROGRAMME YEAR ONE 2021 END-OF-YEAR EXAMINATION FUNDAMENTAL MATHEMATICS Date: 8 October 2021 Duration: 2 hours No additional materials required Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College Temasek Junior College READ THESE INSTRUCTIONS FIRST. Write your answer in dark blue or black pen. You may use a soft pencil for any diagrams or graphs. Do not use paper clips, highlighters, glue or correction fluid. Answer all the questions. Write your answers in the spaces provided in the question paper. Additional writing materials can be used if there is insufficient space. These should be attached to the back of the booklet. 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 calculator value for π should be used unless the question requires the answer in terms of π . The use of an approved scientific calculator is expected where appropriate. You are reminded of the need for clear presentation in your answers. Marks will be deducted for poor or unclear presentation. The number of marks is given in brackets [ ] at the end of each question or part question. The total score for this paper is 80 marks. This paper consists of 16 printed pages, and no blank pages. Question Marks 1 2 3 4 5 6 7 8 9 10 11 12 13 Presentation Deduction −1 Total Name: ________________________ Class: ________________________ _______________________ Parent’s Signature

2 TemasekJC/IP1/FM/EOY/2021 Answer all questions in the spaces provided. Show all working clearly. 1 (a) Without the use of a calculator, evaluate 3 4 18 1 6412 39  −×−−  . [4] (b) The table below shows the number of people and the respective entrance fees for a carnival on a specific day. Age group Number of people Entrance Fee (per person) Adult 18 $14.15 Child 11 $9.95 Without the use of a calculator, estimate the total amount collected on that day. [2] 2 (i) Find the HCF of 1 470 and 300. [3] (ii) Paperclips are sold in packs of 1 470. Thumbtacks are sold in packs of 300. Beatrice buys the same number of paperclips as thumbtacks for