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In this Booklet: 1. Hardest Past paper questions

between 2009-2015 2. Hardest mixed exercise questions

from the text book 3. Hardest Solomon paper questions

Answers can all be found individually on Physics and Maths tutor, including mixed exercises solutions in the solution bank section. But complete answer booklet for this can be found on StudentGrounds.

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Hardest Past

Paper Questions

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June 2015

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January 2014

6.

Figure 2

The straight line l1 has equation 2y = 3x + 7. The line l1 crosses the y-axis at the point A as shown in Figure 2. (a) (i) State the gradient of l1. (ii) Write down the coordinates of the point A.

(2) Another straight line l2 intersects l1 at the point B (1, 5) and crosses the x-axis at the point C, as shown in Figure 2. Given that <ABC = 90°, (b) find an equation of l2 in the form ax + by + c = 0, where a, b and c are integers.

(4) The rectangle ABCD, shown shaded in Figure 2, has vertices at the points A, B, C and D. (c) Find the exact area of rectangle ABCD.

(5)

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5. Given that for all positive integers n,

2

1

12 4n

rr

a n

�¦

(a) find the value of 5

1r

r

a ¦

(2)

(b) find the value of a6

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8. The equation 2x2 + 2kx + (k + 2) = 0, where k is a constant, has two distinct real

roots. (a) Show that k satisfies

k2 – 2k – 4 > 0 (3)

(b) Find the set of possible values of k. (4)

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January 2013

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June 2013 R

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June 2013 paper

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January 2012 2 b)

3b)

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June 2012

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Jan 2011 :

1b)

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June 2011

3. The points P and Q have coordinates (–1, 6) and (9, 0) respectively. The line l is perpendicular to PQ and passes through the mid-point of PQ.

Find an equation for l, giving your answer in the form ax�by�c 0, where a, b and c are integers.

(5)

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January 2010

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10

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June 2010

3) Find the set of values of x for which

(c) both 3(x – 2) < 8 – 2x and (2x – 7)(1 + x) < 0.

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January 2009

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June 2009

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Hardest Mixed

Exercises Questions

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Hardest Solomon

Paper Questions

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Solomon paper A

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Solomon paper B

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Solomon C

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Solomon D

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Solomon E

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Solomon F

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Solomon G

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Solomon H

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Solomon I

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Solomon J

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Solomon K

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Solomon L

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