Direct and inverse proportion exam practice

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value of c when H = 5000. H=S(³ (soool=5c3 x s 2,5 1$000 = (3 $1 √1000 = < 10 =( H=...SC3 H=... 6.25. C = .....10 (3) 5. The force, F newtons, exerted by a magnet on a metal object is inversely proportional to the square of the distance d cm. When d = 2 cm, F = 50 N. (a) Express F in terms of d. fat 02 f=%2 =200 (1012 d² 150)= K (212 8d²=200 200 (b) Find the force when the distance between the magnet and metal object is 10em 7=200 d2 30=K 200=K 025 XLI 81200 =244 190 (c) Find the distance between the magnet and metal object when the force is 8N. 7=200 वर (1) 181=200 = 2 =S f = 200 d2 d=√25 (d) Explain what happens to F when d is halved. 2 F = f= 200 F= 2 d = 3. .cm d = 10 d=5)÷2 Force will be bigger by four time 1 of when dil (1) 6. 7. A and B are positive numbers. A is inversely proportional to B. When A = 4, B = 36. Find the value of A when B = A. Ad 1/2 A=144 A=Y B (41=1 B =144 A (36) A² =144 चापप गर 1414151 C is directly proportional to the square root of y. When C 12.8, y = 16. (a) Express C in terms of y. प्राप секой (12-8)= K√(6) C = 3- 12.8=K(41) (b) Find C when y = 400 12.8 4 3.2=K <= 3.2√(400) =3·2/201 =64 3-2√4 A = 12 C=...3:2 3:21. 7. C = .... (4) 64. (1) 8. The time taken, t, for passengers to be checked-in for a flight is inversely proportional to the square of the number of staff, s, working. It takes 30 minutes passengers to be checked-in when 10 staff are working. (a) Find an equation connecting t and s. Ed's t=ke t =300 S (301=1 41012 30007K (b) What is the minimum number of staff that must be working so that the time taken is under 60 minutes? t=3000 S² 1601=3000 S² 5² = 30000 S=√50 =8 8 (3) (3) 9. a is directly proportional to vc. w is inversely proportional to a³. When c = 49, a = 35 When a = 2, w = 16. Find the value of w when c = 4. aduc a= kuć (35)=K√√(49) (35) = K (7) 35 K 7 s=k w=128 a3 =128 15541³ =128 1000 20.128 =SVC wa 1/1/13 93 W=k a=svC 93 (161=K (213 16 = 181 (8) 16 -k 128=1 0.128 (6) W = 10. The number of days, D, to complete research is inversely proportional to the number of researchers, R, who are working. The research takes 125 days to complete is 16 people work on it. Find how many people are needed to complete the research in 40 days. Dat R D=2000 R=SO D=K R (125)=K 125 X16 (16) sk R (401=2000 R R =2000 40 50. (5) 11. Match each graph to the correct relationship. v y = 1 Y X Y y = √x x yax (3)