3) A sequence is such that = 1 and u1, u2, u3, u1 … 12 for n ≥ 1. Find correct to 6 significant figures. u4 4) Given that and that = 5.8, x1 13 find , giving your answer correct to 4 decimal places. x4 HANS WOYDA MATHEMATICS QUIZ COMPETITION 2012/2013 KNOCK-OUT 1 SECTION 6 - ALGEBRA AND CALCULUS (INDIVIDUAL) Marks: 2 or 1 for opponent Time: 60 seconds. For Questions 1 4: – Oven temperatures are often given in cookery books using a gas mark scale. For gas marks 1 and above a suitable conversion formula is Temperature in ºF = 250 + 25 × gas mark . Year 1) Find the temperature in ºF which is equivalent to gas mark 7. 7-9 2) Find the gas mark which should be used to give an oven temperature of 375 ºF. For gas marks below 1 the formula which should be used is Temperature in ºF = 275 25 × , where gas mark = (½)r . r – 3) Find the temperature in ºF which is equivalent to gas mark ¼ . 10-11 4) Find the gas mark setting for an oven temperature of 250 ºF.
12 3) A sequence u1, u2, u3, … is such that u1 = 1 and for n ≥ 1. Find u4 correct to 6 significant figures. 13 4) Given that and that x1 = 5.8, find x4 , giving your answer correct to 4 decimal places. HANS WOYDA MATHEMATICS QUIZ COMPETITION 2012/2013 KNOCK-OUT 1 SECTION 6 - ALGEBRA AND CALCULUS (INDIVIDUAL) Marks: 2 or 1 for opponent Time: 60 seconds. For Questions 1 – 4: Oven temperatures are often given in cookery books using a gas mark scale. For gas marks 1 and above a suitable conversion formula is Temperature in ºF = 250 + 25 × gas mark . Year 7-9 1) Find the temperature in ºF which is equivalent to gas mark 7. 2) Find the gas mark which should be used to give an oven temperature of 375 ºF. For gas marks below 1 the formula which should be used is Temperature in ºF = 275 – 25 × r , where gas mark = (½)r . 10-11 3) Find the temperature in ºF which is equivalent to gas mark ¼ . 4) Find the gas mark setting for an oven temperature of 250 ºF.
hw_2012-2013_ko1.docx