WJEC Past Paper Questions (with answers)

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Presentation transcript:

WJEC Past Paper Questions (with answers) Upper and Lower Bounds. WJEC Past Paper Questions (with answers)

495 495 505 505 The least volume of the tank is 15.45 litres 15·45 litres = 15450 cm3 The greatest volume of the jug is 505 cm3 30 full jugs is 30 x 505 = 15150cm3 which is less than the minimum volume of the tank. So you can always pour in 30 jugs without overflowing.

9·45 9·55 The least length of the shelf is 76·5cm The greatest thickness of the book is 9·55 cm 8 books will measure a maximum of 8 x 9·55 = 76·4cm. The greatest thickness of the 8 books is less than the minimum length of the shelf so you can always place 8 copies of the textbook on the shelf.

9·5 10·5 Least mass of 100 blocks = 100 x 9·5 = 950 Greatest mass of 100 blocks = 100 x 10·5 = 1050 950 1050 From above 100 of the blocks with the least mass might not be enough. 1000  9·5 = 105·2 so he needs to deliver 106 blocks (106 x 9·5 = 1007kg) to be sure.

245 255 The least capacity of the bucket is 5·05 litres 5·05 litres = 5050 ml The greatest capacity of the jug is 255 cm3 20 full jugs is 20 x 255 = 5100ml which is more than the minimum capacity of the bucket. So the bucket cannot always hold 20 jugs of water.

89·5 90·5 The minimum length of the path is 26·5 m. The maximum length of 30 strides is 30 x 90·5 = 2715 cm = 27·15m This is longer than the minimum length of the path so she may not always reach the end of the path.

18·45 18·55 Least possible length = 30 x 18·45 = 553·5 cm Greatest possible length = 30 x 18·55 = 556·5 cm 553·5 556·5

49·5 kg 50·5 kg Least possible amount = 20 x 49·5 = 990kg Greatest possible amount = 20 x 50·5 = 1010kg 990 1010

Least perimeter = 85·5 + 33·5 + 85·5 + 33·5 = 238 Greatest Length (L) 85·5 86·5 Width (W) 33·5 34·5 L + W 119 121 119mm 121mm Least perimeter = 85·5 + 33·5 + 85·5 + 33·5 = 238 Greatest perimeter = 86·5 + 34·5 + 86·5 + 34·5 = 242 238mm 242mm Least L – W = 85·5 - 34·5 = 51 Greatest L – W = 86·5 - 33·5 = 53 51mm 53mm

17. A tank holds 1800 litres of liquid, correct to 2 significant figures. A bottle holds 60 litres, correct to the nearest litre. Find the least possible number of bottles needed to completely fill the tank. Minimum capacity of tank is 1750 litres Maximum capacity of bottle is 60·5 litres Least number of bottles = 1750  60.5 = 28·93 The least number of bottles needed to fill the tank is 29