Paper 2 - Real World Context Questions

Page 1 Paradigm Specialising in O Level Mathematics Maths Secrets Real World Application 1 Mrs Wong has a budget of $2000 to spend on buying new kitchen flooring. A sketch of the kitchen floor plan is shown below. All angles shown in the diagram are right angles. Mrs Wong planned to use either tiles or single colored vinyl floor covering to cover the whole kitchen floor. Each square tile measure 20 cm by 20 cm. A box of 25 floor tiles costs $66.25. Floor tiles are only sold in complete boxes. The vinyl floor covering is cut to the required length from a roll. A roll of vinyl floor covering is 1.8 meters wide and is sold at a price of $118.70 per meter length. It is sold in lengths measured in a whole number of meters only. (a) Are both types of flooring materials Show all your working and give reasons for your answers. Mrs Wong saw an advertisement for a refrigerator and bought it using a payment plan. The total price of the payment plan is 12% more than the advertised price. The payments are calculated as shown. (b) Find the advertised price. (c) Mrs Wong also bought a washer which cost $569.24, inclusive of 7% Goods and Services Tax (GST). Find the amount of GST paid by Mrs Wong. [SCGS P2 2018] Deposit of one-third of total price 8 equal installments of $92.60 per month Final payment of $200 Page 2 Paradigm Specialising in O Level Mathematics Maths Secrets Answer:

Page 3 Paradigm Specialising in O Level Mathematics Maths Secrets 2 For a Parent Teacher Conference, a school has to convert the parade square into a parking lot. The parade square is a rectangular plot of land m by m. There is an m wide entrance/exit at one corner of the parade square as shown in the sketch above. You are required to do the parking arrangements. The Land Transport Authority recommends the following guidelines. A Parking Stall refers to the space for parking of one motorcar, that is, a car parking lot. The space of the stall should be rectangular. The longer side is known as the length and the shorter side is the width. A Parking Aisle refers to an access lane or driveway with adjacent parking stalls. In parallel parking, the longer side is parallel to the parking aisle or driveway. The aisle for cars to move must be at least m. For two-way traffic flow, the width of the aisle must be at least m. Each parking stall is m by m. Page 4 Paradigm Specialising in O Level Mathematics Maths Secrets In parking, the longer side is perpendicular to the parking aisle or driveway. The aisle or lane for cars to move must be at least m for one-way traffic flow and at least m for two-way traffic flow. Each parking stall is m by m. Propose a possible parking arrangement that would maximise the use of space, showing your calculations clearly. Your proposal must include a s