MID TERM TEST FIRST TERM FURTHER MATHS SS 1

 

 

 

 

FIRST TERM MID TERM TEST 

           Class:  SS 1                        Subject: Further Maths                    Time:

  1. Solve: 8x−2 = 43x   A. -2  B. -1  C. 1  D. 2
  2. Evaluate tan 750; leaving the answer in surd form (radicals)  A. 3+2   B. 3+1  C.3-1   D. 3-1 
  3. Solve; p2k3 = 5 and 2p = k = 6 simultaneously  A. p = -6, k = -6   B. p = -6, k = 6  C. p = 6, k = 6  D. p = 6, k = -6
  4. Rationalize 12x+1  A. 2-1  B. 1 – 2   C.2-1  2  D. 1 – 2 2 
  5. If nC2 = 15, find the value of n    A. 8  B. 7  C. 6  D. 5
  6. Given that g ; x  3x and f ; x  cos x. Find the value of g0f(20o)   A. 0.50  B. 0.94  C. 2.60  D. 2.82
  7. If g : r  5 – 2r, r is a real number, find the image of -3   A. 13  B. 11  C. -1  D. -9
  8. Given that 1x2-4 = p(x+2) + Q(x-2) , x ≠  ± 2. Find the value of (P + Q)  A.  A.32  B. 1  C. 12  D. 0
  9. Find the sum of the first 20 terms of the sequence -7-3, 1, ……  A. 620  B. 660  C. 690 D. 1240
  10. Find the value of x for which 64x2+1 =13x    where x > 0  A. 65   B. 2524  c.2425  D. 56 
  11. Calculate the distance between points (-2, -5) and (-1, 3)   A. 5 units  B.17 units C. 65 units  D. 73 units
  12. If p = 2 3 -4 1 ,  Q= 68 and PQ = k  45-20 find the value of k    A.-54  B.-45  C. 45  D. 54
  13. The second and fourth terms of an exponential sequence (G.P) are 29  and 881 respectively. Find the sixth term of the sequence.   A. 8132  B. 98  C. 14  D. 32729 
  14. Find the coordinates of the point in the curve y = 3x2 – 2x – 5 where the tangent is parallel to the line y = – 5 = 8x    A (53, 0 )  B. (0,  53)  C. (0, 53) D.(53,0)
  15. If the mean of 2, 5, (x + 1), (x + 2), 7 and 9 is 6, find the median.  A. 6.5 B. 6.0 C. 5.5 D. 5.0
  16. Calculate the mean deviation of 5, 8, 2, 9 and 6   A. 5  B. 4  C. 3 D. 2
  17. A 35 N force acts on a body of mass 5 kg for 2 seconds. Calculate the change in momentum of the body.  A. 70 kg ms−1  B. 55 kg ms−1  C. 50 kg ms−1 D. 35 kg ms−1
  18. Solve, correct to three significant figures, (0.3)x =  (0,5)8  A. 4.61  B. 4.606  C. 0.461  D. 0.0130
  19. Given that P and Q are non-empty subsets of the universal set, U. Find P∩ (Q U Q`). A. p  B. P` C. Q D. Q`
  20. Evaluate  00xdx  A. 3  B. 9  C. 18  D. 27