Montfort Math PRWC Worksheet_QP+MS

1 Question 1 [TKSS 2020]The cash price of a new motorcycle is $25 120. Jack paid a down payment of 20% of the price of the motorcycle and the balance with a fixed simple interest rate of 4% per annum for a period of 3 years. (a) Calculate his monthly instalment. Answer $………………………………….. [3] MATHEMATICS DEPARTMENTREVISION (PROBLEMS IN REAL WORLD CONTEXT)NAME: ____________________CLASS: ____________________DATE: _____________________

2 The technical specification of his new motorbike, as stated by the manufacturer, is shown in Table 1.Fuel capacity :3.7 gallonsFuel efficiency:6 litres/100 kmDimension front tyre :120 / 70 R17Dimension rear tyre :180 / 55 R17Recommended replacement:Front tyre, every 6000kmRear tyre, every 2900kmConversions:1 gallon = 3.785 litres1 inch = 2.54 cm (b) (i) Find the fuel capacity of his motorbike, correct to the nearest litre.Answer ……………………………litres [1]Jack starts riding with a full tank of petrol. After riding for a total distance of 190 km, he filled up the petrol tank to the brim again, by pumping 13 litres of petrol. (ii) Determine if the fuel efficiency stated by the manufacturer in Table 1 is true. Answer ………………………………………………………………...…...…………………… …………………………………………………………………..……………………… …………………………………………………………………..……………………… .….……………………………………………………………..……………………… [2] An example of the dimensions for a motorbike tyre 195 / 55 R16 is explained below.

3 The cross-section of a wheel can be presented in Diagram II, where d is the diameter of inner rim, and h the height of the sidewall.dh 195 is the section width of the tyre in millimetres55% aspect ratio represents the height of the tyre sidewall as a percentage of the section widthDiameter of the tyre’s inner rim is 16 inches

4 (c)Jack replaces his tyres at the recommended distance travelled.What would be the number of complete revolutions made, when Jack has to first replace a front tyre? Use the information in Table 1 and show your calculations clearly. Answer ……………………… [5]

5 Question 2 [Bedok View 2020] 1st National TapWith an area of about 724 km2 and growing urban areas, Singapore lacks the space to collect and store all the rain that falls on it. However, through a network of rivers, canals and drains, rain that falls on two-thirds of Singapore's land area is channelled to its 17 reservoirs. This network forms the water catchment area in Singapore which has plans to extend the catchment area to 90 per cent by 2060.(a)What is the current area of water catchment in Singapore? Answer (a) ………………………….. km2[1]The diagram below shows Singapore’s domestic water consumption from the year 2000 onwards.

6 (b)Population wise, Bedok is home to an estimated 289 000 residents. Given that Bedok Reservoir has a storage capacity of 71.2810m3, and assuming that Bedok residents mai