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 sketch, not drawn to scale, indicating the location of the parking stalls, the aisles and the type(s) of parking. You should allow for cars to enter and leave the parade square at any time. You can assume that the cars will not leave in large numbers at any one time, and the parking will be supervised by security guards. Answer: [Anglican High School, 2018 Q11]

Page 5 Paradigm Specialising in O Level Mathematics Maths Secrets 3 Country produces million tonnes of waste in . The infographic below shows more information on the waste produces and the waste management of Country . (a) Given that the density of waste is kg/m3 and tonne kg, calculate the volume of waste, in m3, that was incinerated in . Give your answer in standard form. The landfill used by Country has a total capacity of m3. By the end of , of the landfill has already been used. A news article claims it will take another years before the landfill is completely used. (b) Is the news article correct? Justify your decision with calculations. (c) State one assumption you made in your calculations in (b). [] Page 6 Paradigm Specialising in O Level Mathematics Maths Secrets Answer:

Page 7 Paradigm Specialising in O Level Mathematics Maths Secrets 4 The Central Provident Fund (CPF) is a comprehensive social security savings scheme funded by contributions from both employers and employees. It is a key pillar of housing and healthcare needs. The table shows the current monthly CPF contribution rates for Singapore Citizens and Permanent Residents. (a) Brandon, a Singapore Citizen, aged 25 years, earns a gross monthly income of $3650Calculate the total amount that every month (b) The monthly CPF contribution goes into three accounts. The table below provides information on the accounts and the ratio of contribution. giving your answer to the nearest cent. (c)Brandon is planning to purchase a new 3-room flat. He found the following information online. Page 8 Paradigm Specialising in O Level Mathematics Maths Secrets Brandon wishes to pay the administration fees completely from his OA and has $6000 in his OA. Suggest the number of years that Brandon will need to accumulate sufficient money in his OA to pay for the administration fees [Chung Cheng High School, 2018 Q10]

Page 9 Paradigm Specialising in O Level Mathematics Maths Secrets Answer: Page 10 Paradigm Specialising in O Level Mathematics Maths Secrets 5 Mrs Tan, a mother of two children, saw a newspaper article as shown. Price of formula milk in Singapore has soared The average price of a g tin of formula milk has increased sharply over the last years, outstripping the price increases of other dairy products and household staples. On Monday, the Government announced it is tightening rules to encourage greater price competition. The table below shows the price (in SGD) per grams of different brands of formula milk in year and . Brand Date Similac Friso Nan S26 Mamil Dec Mar % increase Coffee stain was found on the newspaper article covering some of the information. (a) (i) Calculate the percentage increase in the price of the Similac and Friso formula milk covered by the coffee stain. (ii) Hence, do you agree with the headline of the newspaper article? Support your answer with a reason. A few days later, Mrs Tan saw another article regarding the price of similar brands of formula milk sold in Singapore, Malaysia and China. Brand Country Similac Friso Nan S26 Mamil Singapore Malaysia China Price (in SGD) per grams of formula milk in Singapore, Malaysia and China. Upon seeing the article, Mrs Tan intends to purchase some cans of formula milk in China and ship them back during her holidays.

Page 11 Paradigm Specialising in O Level Mathematics Maths Secrets Mrs Tan did online research and found the following shipping rate from China to Singapore by SHIPPER Company. Weight of parcel, kg Shipping Rate st kg RMB follow by RMB/kg RMB/kg RMB/kg RMB/kg RMB/kg RMB/kg RMB/kg The information below shows a can of the g formula milk that Mrs Tan intends to purchase in China and the online currency conversion. Mrs Tan intends to spend at most S for both the formula milk and shipping fee. (b)Calculate the maximum number of cans of formula milk that Mrs Tan can buy. Page 12 Paradigm Specialising in O Level Mathematics Maths Secrets Answer:

Page 13 Paradigm Specialising in O Level Mathematics Maths Secrets 6 Singapore adopts a progressive tax structure. The table shows the tax rates for various annual income brackets. - (a) Calculate the amount of tax a manager has to pay if his assessable annual income is . (b) To reduce the amount of tax payable, the manager makes use of the Supplemen