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PRESS F5 TO START. This presentation contains Intermediate 2 past paper questions complete with solutions for the year 2004 The questions are sorted into topics based on the specific outcomes for the Intermediate 2 course.

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Main Grid

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  1. PRESS F5 TO START This presentation contains Intermediate 2 past paper questions complete with solutions for the year 2004 The questions are sorted into topics based on the specific outcomes for the Intermediate 2 course. To access a particular question from the main grid click on the question number. To get the solution for a question press the space bar. To access the formula sheet press the button To begin click on Main Grid button. F Main Grid

  2. Formulae List START Page

  3. This is the formula that we use

  4. 2004 Paper 1 Number Freq Cum Freq 4 3 3 5 7 10 6 2 12 7 3 15 8 1 16 9 2 18 10 2 20 (b) Prob(>7) = 5/20 = ¼ Main Grid Solution

  5. (3) Main Grid Solution

  6. 4. y = 2x + 1 Intercept = 1 (where line crosses y axis) Gradient = 2 (measure from graph by vertical ÷ horizontal Main Grid

  7. OTP = 90° – 24° = 66° OQT = OTP (Isosceles) TQP = 180° – 66° = 114° QPT = 180° - (114° + 24°) = 42° Main Grid Solution

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  9. 4 (a) Position of median, Q2 = (25 + 1) ÷ 2 = 13th number Q2 = 50 Q1 = 49 (position 6/7th) Q3 = 51.5 (position 19/20th) No. of chocolates in a box No. of chocolates (c) Semi IQR = (Q3 – Q1) ÷ 2 = (51.5 – 49) ÷ 2 = 1.25 The second sample has a higher semi IQR so more variation in the sample Main Grid

  10. (-2, -16) • (6, -16) • 2+8+4 = 14 • (14, -16) • Equation of parabola is • y = (x – 14)2 -16 Main Grid Solution

  11. y = bCosax b = 4 (amplitude) a = 3 (period = 360÷3 = 120) Main Grid Solution

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  15. Q2 • Since all have grown by same amount the mean will be up • + 4mm to 20.5mm. [ mean= (99 + 6 × 4)÷6 = 20.5] • Spread is the same so standard deviation unchanged at 1.87. Main Grid

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  20. Q5 (a) 14x + 4y = 55 equ 1 x3 (b) 13x + 6y = 54.50 equ 2 x2 (c) Solving simultaneously 42x + 12y = 165 26x + 12y = 109 Subtract 16x = 56 x = 3.5 Sub into equ 1 14 × 3.5 + 4y = 55 4y = 55 – 49 4y = 6 y = 1.5 Check equ 2 13 × 3.5 + 6 × 1.5 = 54.50 Adult ticket is £3.50 and child ticket is £1.50 Main Grid

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  25. 2 x 2+x A 2 B (a) Area A = length x breadth = 2(2 + x) = 4 + 2x Area B = 2x Total area = A + B = 4 + 2x + 2x = 4 + 4x (b) Area = 4 + 4x = 18 So 4 + 4x = 18 4x = 18 – 4 4x = 14 x = 14 ÷ 4 = 3.5m Main Grid

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  28. √ √ S A T C Main Grid Solution

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