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X + 1)(x − 4) ÷ (2x + 2) 12. 1 4 of 2y + 3y(2y − y) 45 Problem 51. Hooke’s law states that stress σ is directly proportional to strain ε within the elastic limit of a material. 000125. Determine (a) the coefficient of proportionality and (b) the value of strain when the stress is 18 × 106 pascals. 5 Direct and inverse proportionality An expression such as y = 3x contains two variables.

19. Energy, E joules, is given by the formula E = 12 LI 2 . 2. 20. c. circuit is given by V I= . 2. 21. Distance s metres is given by the formula s = ut + 12 at 2 . 50, evaluate the distance. 22. The area, A, of any triangle is given by a+b+c . 20 cm. Calculations and evaluation of formulae 23. 18 × 10−2 correct? If 4. 7 not, what should it be? (2) Assignment 2 This assignment covers the material contained in Chapters 3 and 4. The marks for each question are shown in brackets at the end of each question.

4 oz = 6 oz, correct to the nearest ounce. Thus 42 kg = 92 lb 6 oz, correct to the nearest ounce. 50 euros, hence weight Use the table to determine: (g) the number of gallons in 40 litres. 5 Norwegian kronor, (d) the number ofAmerican dollars which can be purchased for £90, and (e) the pounds sterling which can be exchanged for 2794 Swiss francs. 8 gallons 8 Now try the following exercise Exercise 15 Further problems conversion tables and charts (Answers on page 272) 1. 3 Liverpool, Hunt’s Cross and Warrington → Manchester Reproduced with permission of British Rail 2.