Trusty Servant May 2019 No.127 - Page 3

No.127 Herring Trawling Off Afghanistan was at least printable. In Question 3, anti-Funkies would say: ‘Caught A Herring .’ x = cos48°; x= 10cos48° = 6.69 10 That 20Hz rumble is John Durran, revolving in his grave. John Smith’s line was that cos48° is what you multiply the 10 by to get the length of the adjacent, so that without invoking a ratio x= 10cos48°. In Mechanics you are constantly wondering what the sides of such triangles are; my own fluency was sabotaged by the ratio glitch, and had I not come to Winchester I would have spent my career putting sand in the sumps of countless pupils. The trouble was that Silly Old Harry is effective in the short term and its JP acolytes were doing better in tests. But John Smith wrote the Christmas exams and knew how to fix them: ‘Ahm going to set them a question their stupid mnemonics won’t work on’. Some of my 16 readers will remember it. The Trusty Servant I was getting my work table up the curling staircase (still the most elegant period feature of any house I have lived in) when a frail-seeming man appeared in the doorway of 4a and invited me in. His flat had the same plan as mine, but the ceilings were high and corniced, and glamorous full-height sash windows basked in brick-red radiation – sunset on Kingsgate Street. He gave me my first taste of madeira, and when I told him I was filling the boots of Vernon Wilkins (78-86) he poured another. Manisty was allowed, by then, to tell me he’d been at Bletchley Park with Alan Turing, fighting his own Algebra War against the Wehrmacht, but this time he wanted to talk about my train advice: he advised me to learn the rules of Winchester football. I side- stepped by saying that I’d been employed to run the fives, all my courts had a kink in their left wall, and one local perversion of a much- loved game was enough to be going on with. I literally didn’t cross worms for the next seven years, but then it was to coach OTH, which I am still doing 27 seasons later, so Tombling won in the end — I was as wrong about Winchester’s versions of fives and football as I was about algebra. To change the subject, I asked what I should teach my Jun Men. ‘Brackets,’ he said, ‘nothing but brackets until Illuminā, though you might leaven it with a little trigonometry.’ I had been taught that brackets were an impediment to algebraic progress that must be removed on sight, so that’s what I taught my pupils. As usual, the opposite was true and John Smith’s Christmas exam had my lot on toast, but not, perhaps, the magnificent eight who are with me still. QUESTION 5. Factorise fully (3x 2 + 2x − 5) 2 − (x 2 + 3x − 4) 2 QUESTION 4. In the diagram below, which is not Dutifully my and pupils to Question scale, all the narrow angles are 4. In the diagram below, which is not to scale, all the narrow angles are " 30°  the removed the brackets, a feat in itself, and stared and the lengths of the hypotenuses of the hypotenuses order of size are h 1 , h 2 , h 3 , … with glumly h 1 = at 243.  the the If debris: in lengths increasing order of size are h 1 in , h 2 increasing , h diagram If the diagram 3 , … with h is 1 =243. continued, find h 11 is . 8x 4 + 6x 3 − 27x 2 + 4x + 9. continued, find h 11 . Back to Tombling, who was still in the Wykeham Arms. ‘How do we do this thing of Funky’s?’ ‘Ah, MacKinnon. Question 4. In the diagram below, which is not to scale, all the narrow angles are " 30°  and the Simon Bolivar So you didn’t spend the whole of lengths of the hypotenuses in increasing order of size are h 1 , h 2 , h 3 , … with h 1 = 243.  If the Short Half on brackets, then?’ He diagram is continued, find h 11 . showed me the trick, with which my journey from Balloch Central; did I Provided your class followed Funky realise on multipliers they saved could do this four readers have achieved Provided your class followed Funky I would have £5.70 with in seconds: 10 from Balloch Pier because the (4x + 9)(2x + 1)(x − 1) 2 , but it was a year on multipliers they could do this in a ticket 3 10 before I worked out how Funky made seconds: Lomond-side station was being h 11 = your 243 ÷ (cos30°) = 3 5 they ÷ could do Loch = 2 10 = 1024. Provided class followed Funky on multipliers this in seconds: the question go so nicely. th September? 10 decommissioned on 28 2 ( ) 3 10 5 10 h 11 = 243 ÷ (cos30°) = 3 ÷ = 2 = 1024. He warmed to his theme, claret was QUESTION 6. ( 2 ) decanted, and we talked of timetables The anti-Funkies were still trawling off Afghanistan when the exam ended. An investment increases by 20% and The anti-Funkies were still trawling off Afghanistan when the exam ended. as mathematicians do. He told me The anti-Funkies were still trawling then decreases by 20%. What is the Peter Tombling 46-52; Co Ro, John Afghanistan Manisty (38-87) was the first the mathmā don I met. I’d been given 4b (very convenient (Coll, for off when exam overall percentage change? John (38-87) first staircase mathmā don I met. I’d to been 4b (very convenient for KPO) and Manisty while I was getting my work was table up the the curling (still the most elegant 57-98) was the best don ask given if I ended. was mortifying, and then period feature of any house I have lived in) when a frail-seeming needed man appeared in the practical I would (still It the KPO) while getting work table up were the advice, curling and staircase most elegant doorway of and 4a and invited me I in. was His flat had first the same my plan as mine, but the ceilings John Manisty (38-87) was the exhilarating, to be told by John Smith find him in the Wykeham Arms. high and corniced, and glamorous full-height sash windows basked in brick-red radiation – mathmā don I met. I’d been given 4b lived in) when a frail-seeming man appeared that every method I had learned was period feature of any house I have in the sunset on Kingsgate Street. He gave me my first taste of madeira, and when I told him I was Tombling did indeed have practical wrong. ‘Don’t add 20% and then (very convenient for KPO) and while filling the boots of Vernon Wilkins (78-86) he poured another. Manisty was allowed, by then, doorway of 4a and invited me in. His flat had the same plan as mine, but the ceilings were high and corniced, and glamorous full-height sash windows basked in brick-red radiation – sunset on Kingsgate Street. He gave me my first taste 3 of madeira, and when I told him I was filling the boots of Vernon Wilkins (78-86) he poured another. Manisty was allowed, by then, to tell me he’d been at Bletchley Park with Alan Turing, fighting his own Algebra War against the Wehrmacht, but this time he wanted to talk about my train journey from Balloch Central; did I realise I would have saved £5.70 with a ticket from Balloch Pier because the Loch Lomond-side station was being decommissioned on 28 th September? He warmed to his theme, claret was decanted, and we talked of timetables as mathematicians do. He told me Peter Tombling (Coll, 46-52; Co Ro, 57-98) was the best don to ask if I needed practical