WAEC 2017 MATHEMATICS THEORY AND OBJ 100% VERIFIED


MATHEMATICS OBJECTIVE
1-10: CBBCCACBBC
11-20: CACBAAAADB
21-30: BBADBCCACB
31-40: BBCACBDADA
41-50: DDACCCDDCB


                        MATHEMATICS THEORY
1a. log4^y-1 = log 16^y
     log4^y-1 = log4^2y
     y-1 log4 = 2y log4
     collect like terms
     2y - y = -1
     y = -1
1b. speed = dstance/ tme
      distance = speed * time
      30 minutes = 0.5 hour
      4^-1 = o.5 + t
      4(0.5 + t)
      2 + 4t
for 5km/hr, time =t
      therefore = 5t
      time (t) = 2 hours
      actual distance = 5(2) = 10 km
2a. 2/3(3x-5) - 3/5( 2x - 3) = 3
     multiply through by 15
     10(3x - 5) - 9 (2x-3) = 45
      30x - 50 - 18x - 27 = 45
     collect like terms
     12x - 23 = 45
     12x = 45 + 23
     12x = 68
     x = 5.6
2b. 180 - (n + 88)
       (sum of angles on a straight line)
      = 92 -n
      180 - (m - 80)
       (sum of angles in a triangle)
      80+92+180-n-m = 180 degree
      352 -n-m = 180 degree
      -n-m = 180 - 352
      -n-m = -172
  insert negative sign to both sides
      -(-n-m) = -(-1720
       n+m = 172 degree
3a. tan 23.6degree = h / 50 (opp/adj)
      0.4369 = h / 50
      h = 0.4369 * 50
      h = 21.8 m approx. 22 m
3b. area of triangle = 0.5 * b*h
      area of the triangle = 45 cm ^2
      45 = 0.5 * 10 * h
      45 = 5h
       h = 9 cm
      area of trapezium = 0.5 ( a+ b) * h
      = 0.5 (6+16)* 9
      = 99 cm^2
4a. T6 = 37
       T6 = a + 5d = 37 --- (i)
       S6 = 3(2a+5d) = 147 ---(ii)
       a + 5d = 37 ---(i) *3
       6a +15d + 147 ---(ii) *1
       3a + 15d = 111 ---(iii)
       6a + 15d = 147 ---(iv)
     
       3a = 36
    a= 12
first term = 12
4b. S15= 15/2(2(12) + 14d)
       to get d ; substitute 12 for a in equation (i)
       12 + 5d = 37
      5d = 37 - 12
      5d = 25
      d = 5
common difference = 5
  S15= 7.5(24+ 70)
  S15= 705
5a. Draw the venn diagram
5b. y-45+45+y= 120
      2y- 34 = 120
      2y = 120 + 34
      2y = 154
       y = 77
no. of the student who bought shoe= y + 11= 77+11= 88
5c. n(bags) = 77
      probality = 77/120 = 0.64
WAEC 2017 MATHEMATICS THEORY AND OBJ ..... more update oncoming 
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