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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

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Form 3 Form 2 Form 4 Form 1

Given that position vectors of points A and B are 19/11/2021 Comments   Worked Solution Read More Comments ​The position vectors of A and B are [2 5\ and [8 -7\ respectively. Find the coordinates of M which divides AB in the ration 1: 2 24/10/2021 Comments   ​The position vectors of A and B are  respectively. Find the coordinates of M which divides AB in the ration 1: 2 ​(3mks) Worked Answer: Read More Comments K.C.S.E Mathematics Q & A - MODEL 2019PP1QN11 22/9/2020 Comments   Form 3 Mathematics 11 answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2018PP2QN13 21/9/2020 Comments   Form 3 Mathematics 13 In the figure below OP = p, OR = r, PQ:QR = 1:2 and PS = 3PR. Express QS in terms of p and r.  answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2018PP1QN08 18/9/2020 Comments   Form 2 Mathematics 8 answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2016PP2QN11 15/9/2020 Comments   Form 3 Mathematics 11 Given that qi + 1/3j + 2/3k is a unit vector, find q. answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2016PP1QN20 14/9/2020 Comments   Form 3 Mathematics 20 In the diagram below, the coordinates of points A and B are (1,6) and (15, 6) respectively. Point N is on OB and that 30N = 2OB. Line OA is produced to L such that OL = 3OA. a)Find vector LN  b) Given that a point M is on LN such that LM: MN = 3: 4 find the coordinate of M  c) If line OM is produced to T such a that OM: MT= 6:1 i)Find the position vector of T  ii) Show that points L, T and B are collinear  ANSWERS Read More Comments K.C.S.E Mathematics Q & A - MODEL 2015PP2QN16 10/9/2020 Comments   Form 3 Mathematics 16 answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2015PP1QN11 10/9/2020 Comments   Form 2 Mathematics 11 ANSWER Read More Comments K.C.S.E Mathematics Q & A - MODEL 2014PP2QN22 8/9/2020 Comments   Form 3 Mathematics 22 In the figure below OA= a and OB= b. M is the mid point of OA and AN: NB= 2.1 a) Express in terms of a and b: i) BA:  ii) BN:  iii) ON  b) Given that BX= hBM AND OX = kON determine the values of h and k. answers Read More Comments K.C.S.E Mathematics Q & A - MODEL 2014PP2QN14 8/9/2020 Comments   Form 2 Mathematics 14 Vectors r and s are such that r = 7 i + 2 j - k and s = - i + j - k. ​ Find | r + s |. answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2013PP2QN08 3/9/2020 Comments   Form 2 Mathematics 8 The position vectors of points F, G, and H are f, g, and h respectively. Point H divides FG in the ratio 4:-1. Express h in terms of f and g answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2012PP2QN04 1/9/2020 Comments   Form 2 Mathematics 4 Given that P = 2i- 3j + k, Q = 3i – 4j- 3k and R = 3P + 2 Q, find the magnitude of R to 2 significant figures. answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2012PP1QN09 31/8/2020 Comments   Form 2 Mathematics 9 Given that OA = 2i + 3j and OB = 3i - 2j Find the magnitude of AB to one decimal place. answer Read More Comments K.C.S.E Mathematics Q & A - MODEL 2011PP2QN13 28/8/2020 Comments   Form 2 Mathematics 13 Vector OP= 6i - j and OQ = -2i - 5j. A point N divides PQ internally in the ratio 3:1. Find PN in terms of i and j. answer Read More Comments <<Previous

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