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Comprehensive Overview of General Mathematics Examination Papers (2002)

This document provides a detailed overview of the General Mathematics Examination Papers from 2002. It includes various question types, covering topics such as algebra, geometry, trigonometry, and statistics. Each question is numbered and includes calculations and explanations to guide students in understanding key mathematical concepts. Additionally, the document addresses topics on VAT, geometry of figures, and applications of various mathematical formulas, making it a valuable resource for students preparing for examinations or seeking to enhance their mathematical skills.

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Comprehensive Overview of General Mathematics Examination Papers (2002)

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  1. Paper 1 General 2002 1 2 3 4 5 6 7 8 9 10

  2. Paper 2 General 2002 1 2 3 4 5 6 7 8 9 10 11

  3. Paper1 Q1 General 2002 6 8 7 300 6 8 7 100 3 3 6.87 (b) 8 1 1 1 (a) 9.2 5.49 0 7.29 - 3.71 + 6.47 x 8 1 2 7 . . 5 4 9 . 11 9 6 5 8 3 2 (c) 2 2 9 . = 2 (d)

  4. Paper1 Q2 General 2002 (a) (b) New total =14

  5. Paper1 Q3 General 2002

  6. Paper1 Q4 General 2002 5 000 000 30 % of 5 million; 10% = 500 000 30% = 1 500 000

  7. Paper1 Q5 General 2002 D (a) A (-4,-3) y B (3,-1) 6 C (4,4) C 4 (b) 2 Gradient of AB = -6 -4 -2 x 2 4 6 B -2 -4 (c) A D ( -3,2) -6

  8. Paper1 Q6 General 2002 Change into decimals to compare.

  9. Paper1 Q7 General 2002 O B A C AB is a tangent ; Triangle AOB is isosceles ; So (Angles in a triangle)

  10. Paper1 Q8 General 2002 100 90 80 70 60 Mathematics marks 50 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 Science marks (c) Maths mark = 54% (estimate)

  11. Paper1 Q9 General 2002 3 cm . Plant A has grown more by

  12. Paper1 Q10 General 2002 Each tyre spends one fifth of it’s time in the trunk. So Each tyre does

  13. Paper2 Q1 General 2002 45 mins = 45/60 hrs = 0.75 hrs List ; • D = • S = • T = ? ? 76 km/h 3 hrs 45 mins = 3.75 hrs D = S x T D = 76 x 3.75 S T = 285 km

  14. Paper2 Q2 General 2002 (a) VAT = 17.5% of £779 Total cost = = 17.5/100 x 779 779 + 136.33 = 136.325 = £ 915.33 = £ 136.33 (b) Difference = 915.33 - 900 = £ 15.33 Refund = 15.33 x 2 = £ 30.66 (Double the difference)

  15. Paper2 Q3 General 2002 V = r2 h 450 cm 40 cm (a) From formula sheet; = 3.14 x (20)2 x 450 = 565486.68 = 565 000 cm 3 (b) 5 6 5 0 0 0 = 5.65 x 10 5

  16. Paper2 Q4 General 2002 25 sections 1 section 2 sections 3 sections (a) 15 29 85 +7 +7 +7 (b) = Number of iron bars Number of sections x 7 + 1 b = 7s +1 12 x 7+1 (c) 176 = 7s +1 175 = 7s s = 25

  17. Paper2 Q5 General 2002 This is for 12 months Find 4.5% of £1640 Yearly interest = Monthly interest = 9 months interest =

  18. Paper2 Q6 General 2002 P P 10 cm Q S 20 cm Q 6 cm R 12 cm In a rhombus, diagonals are bisected at right angles. tan xo = SOHCAHTOA O = 1.667 T A xo = tan –1 (1.67) = 59o Therefore

  19. Paper2 Q7 General 2002 x Strip of plastic 120 cm 20 cm 30cm Bath 180 cm According to Pythagoras: x2 = 1802 + 1202 = 32400 + 14400 = 46800 x = = 216.33 cm

  20. Paper2 Q8 General 2002 (a) Scale 1:2 T HP (15 cm) 7.5 cm HT (20 cm) 10 cm H P Rod (35 cm) 17.5 cm (b) 12.5 cm By measuring PT on your drawing you get; So Actual length of PT = 2 x 12.5 = 25 cm

  21. General 2002 (a) 4 ( 3x + 2) = 68 Paper2 Q9 12x + 8 = 68 12x = 60 x = 5 (b) 10y +15 = 5 ( ) 2y + 3

  22. Paper2 Q10 General 2002 120 cm A B (b) = (a) 50m will be enough!

  23. Paper2 Q11 General 2002 Find these to calculate this Hire purchase price = Deposit + Total instalments “ The hire purchase price is 22% more than the cash price” hire purchase price = cash price x 1.22 = 6300 x 1.22 = £ 7686 Each instalment = “….requires a deposit, which is 15% of the cash price” deposit = 15% of £6300 = £ 112.35 = 0.15 x 6300 = £945 Total instalments = Hire purchase price - Deposit = 7686 - 945 = £ 6741

  24. Paper 1 General 2002 1 2 3 4 5 6 7 8 9 10

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