Mathematics Mocks Revision 21/09/2016

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  1. A sum of money is divided between three people, Tom, Mary and Lucy in the ratio 5:3:1. If  Mary has sh.700 more than Lucy, calculate how much Tom has.

     

  2. In the figure below, O is the centre of the circle and OB bisects angel ABC. Given that <BAC= 40 deg, find <ABO

    anglesinacircle21 9 16

  3. Find the integral values of y of which satisfy the inequalities below.

    5 ≤ 3y + 2 and 3y –14 ≤ -2

  4. The position vector of points A and B relative to the origin O are a and b respectively. Given that a = 4i + 3and b = i + 2j, find the modulus of the vector a + b

  5. Tap A takes one hour to fill a tank with water. If tap B takes y hours to remove the same water and both taps takes 1 ½ hours to fill the tank, find the value of y.

  6. Find the length QR of the following triangle if PR=3.7cm PQ=4cm and <PQR = 63 deg

    sine rule 21 09

    The questions above were discussed in our study group.

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