WAEC - Mathematics (1990)

• 1

  Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)

  პასუხი

  (C)

  1/35
• 2

  If 3\(^{2x}\) = 27, what is x?

  პასუხი

  (B)

  1.5
• 3

  Express 0.00562 in standard form

  პასუხი

  (A)

  5.62 x 10^-3
• 4

  Given that 1/3log₁₀ P = 1, find the value of P

  პასუხი

  (E)

  1000
• 5

  Simplify \(\frac{\log \sqrt{8}}{\log 8}\)

  პასუხი

  (B)

  1/2
• 6

  Evaluate using the logarithm table, log(0.65)²

  პასუხი

  (D)

  3.6258
• 7

  If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures

  პასუხი

  (E)

  9.46
• 8

  While doing his physics practical, Idowu recorded a reading as 1.12cm instead of 1.21cm. Calculate his percentage error

  პასუხი

  (C)

  7.44%
• 9

  Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5

  პასუხი

  (C)

  3.5
• 10

  

  From the graph determine the roots of the equation y = 2x\(^2\) + x - 6

  პასუხი

  (C)

  -2, 1.5
• 11

  

  Find the values of x for which y = 5

  პასუხი

  (B)

  -2.6, 2.1
• 12

  An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]

  პასუხი

  (B)

  84^o
• 13

  Find the sum of the first five terms of the G.P 2,6, 18 ....

  პასუხი

  (C)

  242
• 14

  Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then

  პასუხი

  (A)

  H = {1}
• 15

  In a class of 80 students, every students had to study economics or geography, or both economics and geography, if 65 students studied economics and 50 studied geography, how many studied both subjects?

  პასუხი

  (C)

  35
• 16

  

  The area shaded with horizontal lines is the solution set of the inequalities;

  პასუხი

  (B)

  y ≤ x, y + 2x ≥ -3, x ≤ 3
• 17

  

  the area shaded with vertical lines is the solution set of the inequalities;

  პასუხი

  (C)

  y ≤ x, y ≤ 2x - 3, x ≤ 3
• 18

  

  In the diagram above, O is the center of the circle with radius 10cm, and ∠ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take π = 22/7]

  პასუხი

  (B)

  10.5cm
• 19

  Factorize x\(^2\) + 4x - 192

  პასუხი

  (C)

  (x-12) (x+16)
• 20

  Factorize 2e\(^2\) - 3e + 1

  პასუხი

  (A)

  (2e-1) (e-1)
• 21

  Solve the equation 7y\(^2\) = 3y

  პასუხი

  (C)

  y = 0 or 3/7
• 22

  Find the value of m which makes x\(^2\) + 8 + m a perfect square

  პასუხი

  (E)

  16
• 23

  Solve the equation 2a\(^2\) - 3a - 27 = 0

  პასუხი

  (E)

  -3, 9/2
• 24

  A sector of a circle of radius 7cm has an area of 44cm². Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]

  პასუხი

  (D)

  103^o
• 25

  calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

  პასუხი

  (C)

  616cm²
• 26

  If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?

  პასუხი

  (D)

  30^o
• 27

  A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
  Find the total surface area of the container

  პასუხი

  (D)

  528cm²
• 28

  A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]. What is the volume of the container?

  პასუხი

  (E)

  770cm³
• 29

  

  In the diagram above, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find the value of ∠QPR

  პასუხი

  (C)

  52^o
• 30

  

  In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the value of ∠XZY

  პასუხი

  (E)

  70^o
• 31

  

  In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR

  პასუხი

  (C)

  10.24cm²
• 32

  

  Which angle is equal to ∠VWZ?

  პასუხი

  (A)

  ∠VXZ
• 33

  

  Which triangle is equal in area to ΔVWZ

  პასუხი

  (B)

  ΔVYZ
• 34

  

  In the diagram above, PQRS s a cyclic quadrilateral, ∠PSR = 86^o and ∠QPR = 38^o. Calculate PRQ

  პასუხი

  (C)

  48^o
• 35

  

  In the diagram below, O is the center of the circle if ∠QOR = 290^o, find the size ∠QPR

  პასუხი

  (D)

  35^o
• 36

  

  In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.

  პასუხი

  (E)

  50^o
• 37

  

  Which of the sketches above gives a correct method for constructed an angle of 120^o at the point P?

  პასუხი

  (D)

  I and II only
• 38

  Use mathematical table to evaluate (cos40° - sin30°)

  პასუხი

  (D)

  0.2660
• 39

  If the shadow of a pole 7m high is 1/2 its length what is the angle of elevation of the sun, correct to the nearest degree?

  პასუხი

  (B)

  63^o
• 40

  From the top of a building 10m high, the angle of depression of a stone lying on the horizontal ground is 69^o. Calculate ,correct to one decimal place, the distance of the stone from the foot of the building

  პასუხი

  (B)

  3.8m
• 41

  The bearing of a point X from a point Y is 074°. What is the bearing of Y from X?

  პასუხი

  (D)

  254^o
• 42

  

  The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

  How much money did he invest in agriculture?

  პასუხი

  (E)

  N4,000.00
• 43

  

  The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school. What is the mode?

  პასუხი

  (D)

  N12
• 44

  

  The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school.

  What is the median of distribution

  პასუხი

  (C)

  N12.00
• 45

  Two groups of male students cast their votes on a particular proposal. The result are as follows:

  	In favor	Against
  Group A	128	32
  Group B	96	48

  If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?

  პასუხი

  (A)

  8/19