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Infection and response
Organisation
Cell biology
Biological molecules
Homeostasis and response
Responding to change (a2 only)
Energy transfers (a2 only)
The control of gene expression (a-level only)
Substance exchange
Bioenergetics
Genetic information & variation
Inheritance, variation and evolution
Genetics & ecosystems (a2 only)
Ecology
Cells
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1f industrialisation and the people: britain, c1783-1885
1c the tudors: england, 1485-1603
Britain & the wider world: 1745 -1901
Inter-war germany
World war one
2n revolution and dictatorship: russia, 1917-1953
World war two & the holocaust
1l the quest for political stability: germany, 1871-1991
The cold war
2j america: a nation divided, c1845-1877
Medieval period: 1066 -1509
The fight for female suffrage
2m wars and welfare: britain in transition, 1906-1957
2d religious conflict and the church in england, c1529-c1570
Britain: 1509 -1745
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04/12/2022
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Name: Exam Style Questions Direct and Inverse Proportion Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Don't spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Corbettmaths Revision for this topic www.corbettmaths.com/contents Video 254 Video 255 1. 2. y is directly proportional to the square of x. When y = 24, x = 2. पळरूर 4=кх2 (24)=K(2)² 24=k(4) 3. Find the value of y when x = 4. 24 = K 50= 6=10 4=6x² 4=6141² 4 = 96 What is the cost of a circular table with a radius of 60cm? carz 59 1600 C=S c=kr² (50)=K(40)2 x(1600) Ext/p =5 The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 40cm cost £50. =k y = (2000) 50400051 rz 96 160 2 =5 1601² 160 The time taken, t seconds, that it takes a water heater to boil water is inversely proportional to the power, p watts, of the water heater. When P = 2000W, T = 252 seconds. Find the time it takes to boil water when P = 800W (252)=K -5 55/60 (3600.11.12.50 t=50 4000 P = 504000 800 =6301 18000 160 ... 6.3.0.. (3) =112.50 (3) .seconds (3) 4. H varies directly to the cube of c. When H = 40, c = 2. (a) Express H in terms of c. H=5c3 нас3 H=K(3 (40FK (21³ 40³K181 40 =K S=K (b) Find the value of H when c = 5. 123 H= 5c3 = 5(5) = 5(125) 625 (c) Find the...
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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)