IGCSE Higher Sheet H a-1 Formulae - Answers

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Σαούλ Διαμαντόπουλος
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1 Fo use onl in Whigif School IGCSE Highe Shee H Fomule - Answes = c x s = V + u = (d) x = D = s (f ) p = q u = v (h) R = π Fo use onl in Whigif School Shee H- -0- Fomule-wice - Answes d x = x = m n c d pn m x = (d) x = p+ 1 A B c x = (f ) x = C c.. C s+ d = = = c (d) u v = 4x = (f ) I = 10A 10P VI R = (h) = 5( p q) c p+ x = q = = 4 p s (d) C = π c+ d c = (f ) x = R Q 100I P = (h) R = PT A π v u h= s = π s u T s = (d) h= s g A+ π n x= (f ) m= π + + = x = h + ce e w= (d) n = + ce dc c p g q h T = (f ) u = xq xq hv ch c d.. e p = q= c k e s d h= (d) u = u c A= (f ) z = c d 1 n m s = (h) w= (i) 5 = (j) = x + e x= x= f + 1 p pq x= (d) x= q 1 q 1 w= d c d = 1 c 1 = (d) h= 1 1 D B p e= (f ) v= A C q s cu d c 6. D k u =

2 Fo use onl in Whigif School Shee H- -0- Fomule-Twice - Answes Fo use onl in Whigif School Shee H Fomule-Powes - Answes. n x= x= c m q c q x= (d) x= s p de v + ep x= (f ) x= ce dp q x =± c x =± p c x =± (d) x =± cd x = ( vz u) (f ) x = ( ) x = x = + p (h). w= Q = q d c m + 1 R = m (d) l = f cd q pq w= x = c e = (d) z = + 1 c d + 1 g c h fx + sf f x n = (f ) l = g fx + l pfx.. + gh e h = = 5 e V h m p (d) u = = 4π (f ) f = + (h) = l T g p m x = sg + = q ± h + hk S π u =± v s h = π A s u 4π = (d) = T l = g (f ) = ± π A π z = c z = gh = + (d) = z e d z E C z = ( f ) z = (i) (k) z =± (h) z = m A c z = ± c (j) z = + ( pq) A k ± B m z = (l) z = + n h u v m n

3 Fo use onl in Whigif School Shee H Fomule-Twicend Powes - Answes Fo use onl in Whigif School Shee H Popoion - Answes.. p c x = x = m n d c x = (d) x = sq + p c x = (f ) x = ( pq) + h s A= R = 1 d cd e = (d) p = c d ( cd ) cd + Q = (f ) x = c pq n n cm = (h) q = m + c (i) p = (j) k = + c p D d = vt R R vt = D D ( + d ) d = vt + d x x x (d) x A = 5P 6 48 v v= k v = 1m/s (d) = 14 s k = cm s =.5 56 = 8 h= T h = 147 T = 50 u = = k 8= k ( + 4) (d) k = = 6 4 M = n 4 n = 6 n = 10

4 Fo use onl in Whigif School Shee H Popoion - Answes Fo use onl in Whigif School Shee H Popoion - Answes x s = s = 147 = 11. x m = kl.744kg 10.5cm. M = kl k = 104kg (d) 5cm s = 0.v 405m 5m/s. 1 v = P 7m/s 196 joules x seconds 9m x E = ke k = 6 54 joules (d) 8cm 7. T = 0.8 l. seconds 49cm 8. mps 9. 8m kg x = x 11 x x x

5 Fo use onl in Whigif School Shee H Popoion - Answes Fo use onl in Whigif School Shee H Invese Popoion - Answes H is diecl popoionl o he cue oo of. When = 7 i is known h H = 15. H = 5 H = 50 = F = 5000N 10m. 10. = 1x x = x x = 16 x x (d) = x x = 7x x V = P 4 m 50N/ m 16m/s 10kg 0.5 R = d 0.5 ohms P = 1 x x N cm

6 Fo use onl in Whigif School Shee H Invese Popoion - Answes Fo use onl in Whigif School Shee H Invese Popoion - Answes 6 Q = Q = 9 = 4. k = 0.45 = 0.45 d d l = d l = 05 d = 14 x H = 9cm 8mm k u 00 = x 00 L = V L = 0cm V = 1565cm d = k N (d).4cm = 7x x = 4x x = x 400 (d) = x x x Deceses fco of Deceses fco of 4

7 Fo use onl in Whigif School Shee H Simulneous Equions-Cncel - Answes Fo use onl in Whigif School Shee H Simulneous Equions-Susiuion - Answes x =, = q = 9, q = v = 4, w= (d) =, = 1 d = 1, c = (f ) x =, = p = 5, q = 4 (h) g =, h = 4 (i) m = 4, n = 1 (j) = 5, c = (k) x =, = 1 (l) = 7, s = x =, = 5 = 8, = 5 x = 15, = (d) p =, q = 8 = 1, = (f ) = 1, = 5.. x = 5, = 1 u = 4, v = 1 p = 7, q = (d) = 5, = p =, q = (f ) =, c = x = 5, = = 5, = =, s = 4 x = 71, = = 7, = g = 79, h = 0.. x =, = 8 = 7, = c = 1, d = (d) p = 1, q = 1 = 5, = 7 (f ) = 48, = 9 w= 10, x = (h) s = 7, = 45 m =, n = 4 q = 1, p = 5 u = 1, v = (d) p = 5, q = =, s = (f ) x = 1, = 1

8 Fo use onl in Whigif School Shee H Simulneous Equions-Polems - Answes 5x+ = 46 x+ = 149 x = 40, =. p+ q = 95 p q = 1 p = 58, q = 7. s+ 5 = 6 7s+ = 71 s = 6.5, = f = f = 50 = 0, f = 0 Fo use onl in Whigif School Shee H Simulneous Equions-Polems - Answes 15 wo pence coins, 5 five pence coins.. A= 5, B = 18. x = 17, = 1 s = 4, = 16 x+ 5 = 164 7x+ = 187 x = 05, = x+ 5 = 4 5x+ 7 = 5 x = 5, =.5 x = 17, = five pound noes nd 4 en pound noes 7. m = s+ 5 m = 6s s = 5, m = x+ = 0 4x+ 5 = 45 x = 5 nd = 15 = 5, = c = 7, d = 1 x =, = 7 (d) x = 4, = 7 p = 5, q = 7 (f ) =, s =

Fo use onl in Whigif School Shee H-17-06-05Simulneous Equions - Answes 5 7 9 5 v =, w= p =, q =. 5 of he 5 pen nd 1 of he 7 pen.. A hd ck coss 95 nd ppe ck coss.

9 Fo use onl in Whigif School Shee H Simulneous Equions - Answes v =, w= p =, q =. 5 of he 5 pen nd 1 of he 7 pen.. A hd ck coss 95 nd ppe ck coss.9 Fo use onl in Whigif School Shee H Simulneous Equions-Gph - Answes x = 4, = 9 x =, = x =, = 5 (d) x =, = 5 x = 5, = 4 (f ) x = 6, = m = 6d m + d + m+ = 5 d + (d) ( ) Mohe is 48, dughe is 8.. x 1 x 0 4 x s = f nd 15s+ 0 f = fis nd 74 second 6. x = 4, = 5 p = 7, q = 9 =, = 10 (d) = 5, s = 11 = 8 x = x 7. x+ 7 = 165 x+ 5 = 1150 Fis clss icke coss 00, second clss icke coss 7 + x = 1 (i) x =, = 4 (ii) x =, =

Fo use onl in Whigif School Shee H-19-06-07Simulneous Equions-Gph - Answes nd Fo use onl in Whigif School Shee H-0-07-1QudFcoision-Solve - Answes x = 4, x = 5 x =, x = 4 x =, x = (d) x =, x = 5 x =,

10 Fo use onl in Whigif School Shee H Simulneous Equions-Gph - Answes nd Fo use onl in Whigif School Shee H QudFcoision-Solve - Answes x = 4, x = 5 x =, x = 4 x =, x = (d) x =, x = 5 x =, x = 6 (f ) x =, x = 4 x =, x = 7 (h) x = 4, x = 6 (i) x =, x = 5 ( j) x =, x = x = 4 x+ = 6. ( ) x =, x = 10 x = 5, x = x =, x = 10 (d) x = 9, x = 4 x = 4, x = 5 (f ) x = 5, x = 7 x = 0, x = 6 (h) x = 0, x = (i) x =, x = ( j) x = 5, x = 5 = x (i) x = 1, = (ii) x =, = 4 (iii) x = 1, = 5 (iv) x = 4, = x+ = 6 x+ = 8. ( ) x =, x = 4 =, = 11 m = 1, m = 6 (d) =, = z =, z = 6 (f ) z = 1 c =, c = 1 (h) = 9 (i) = 0, = 6 ( j) = 0, = 11 (k) w= 0, w= (l) k = 0, k = 1. x =, = x =, = x = 4, = 9 (d) x =, = 1

11 Fo use onl in Whigif School Shee H-1-07-QudFcoision-Solve - Answes Fo use onl in Whigif School x=, x= 5 =, = m=, m= (d) =, = 1 1 z =, z = (f ) =, = 4 c=, c= 1 (h) 1 5 g =, g = (i) z = 1 (j) 1 5 h=, h= = 9 z =, z = 8 = 0, = 6 (d) = 0, = 11 w= 0, w= (f ) x = ± = 0, z = (h) k = 0, k = 1 (i) 4 u = 0, z = 5 (j) k = 0, = x = 1, x = x = 5, x = 6 x = 1 =, x = 7 (d) 5 u =, u = 4 = 0, = (f ) 9 1 q =, q = BLANK PAGE h = 1, h = 5 1 z =, z = =, = 7 (d) =, = e = 1, e = 4 (f ) = 1, = = 1, = (h) = 1, = 6

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