SOLUTIONS oF Edexcel GCSE Mathematics (Linear) — IMA0 UPPER AND LOWER BOUNDS Materia required fr examination es fctded wi question papers Ni tear cra . arene & ‘ihr nS 8 Instructions: 7 Use lack in or ballpoint pen Flin the boxes at the top ofthis page with your nan, centre number and candidate numer, Answer all questions ‘Answer the questions inthe spaces provided ~ there may'be more space than you ned. Caltlatrs may be us “Tho marks for each question spend on exch question, (Questions labelled with sn asterisk (*) are ones where the quality of your writen will be assessed — you should take pariculareare on these questions ith you sp and grammar, as well asthe clarity of expression. this asa guide ast how much time munication Advice Read each question carefully Before you start to answer i Keep an eye onthe time, Try to answer every question. (Check your answers i you have time a the end1, The weight of a bag of potatoes is 25 kg, correct to the nearest ke. (a) Write down the smallest possible weight of the bag of potatoes, 246 4 wo (©) Write down the largest possible weight of the bag of potatoes 26.5 26 ts | w (Total 2 marks) 2. The length of a line is 63 centimetres, correct to the nearest centimetre (a) Write down the least possible length ofthe line. swale late Svmnnnnnenn COnbiettes w (b)_ Write down the greatest possible length of the line. metres w (Total 2 marks)3. A field is in the shape ofa rectangle ‘The length of the field is 340 m, to the nearest metre. W@ > 740+ 3 The width of the field is 117 m, to the nearest metre, Ue = 1) + $ Calculate the upper bound for the perimeter of the field, (Total 2 marks) 4. ‘The length of a rectangle is 30 em, correct to 2 significant figures. The width of a rectangle is 18 em, correct to 2 significant figures, () Write down the upper bound of the width. (b) Calculate the upper bound for the area of the rectangle. Zo-Sy IGS 2 GETS (Total 3 marks)Ld —sem— ‘The length of the rectangle is 35 cm correct to the nearest em, ‘The width of the rectangle is 26 em correct to the nearest em Calculate the upper bound for the area of the rectangle. Write down all the figures on your calculator display. Aen 3s 9 wes (Total 3 marks)6. A field is in the shape ofa rectangle. The width of the field is 28 metres, measured to the nearest metre (2) Work out the upper bound of the wie ofthe field PEt Socououe metres a ‘The length of he field is 145 metres, measured to the nearest $ mete (6) Work out the upper bound for the perimeter ofthe field ) ares 4 metres e (Total 4 marks) 7. Steve measured the length and the width ofa rectangle He measured the length to be 645 mm correct tothe nearest S mmr. Ug, ¢ 4 «5 ee measured the width (o be 400 mm correct tothe nearest $ mm. s Calculate the lower bound for the area of this rectangle. Give your answer correct to 3 significant figures. » Ga2T¥ SATS (Total 3 marks)8. ‘The average fuel consumption (c) ofa ear, in kilometres per litre, is given by the formula a a where dis the distance travelled, in kilometres, and fis the fuel used, in litres d= 163 correct to 3 significant figures. f= 45.3 correct to 3 significant figures. By considering bounds, work out the value of ¢ o a suitable degree of accuracy. You must show all of your working and give a reason for yout final answer, (CS 96 aS 5 tei [45-25 } = 3-599233. as3 yd c= 1635 = 3° 613254 WS-25 bef fc eS Taf 45-35 walt aces ore SGU?) — o-.B:G.(60d-¢) (Total S marks)9. The voltage Vof an electronic circuit is given by the formula V=IR where /'s the current in amps ‘and R is the resistance in ohms. Given that = 218 eorrect to 3 significant figures, R= 12,6 comect to 3 significant figures, calculate the lower bound of J (Total 3 marks)wy, 7 10, ? 5 =3.47 correct to 2 decimal places. 1= 8.132 correct to 3 decimal places. By considering bounds, work out the value of m to a suitable degree of accuracy. ‘You must show all your working and give a reason for your final answer. Actual = 7 8 = 022906 ué Vues _ 022925 | he & S08 622884 Ust All amndes oie 0-224 (to 3.Sig Fg) SO M= 0-229 (to 3 sig fg) (Total S marks)