WAEC - Mathematics (1990)

• 1

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

  پاسخ دهید

  (C)

  1/35
• 2

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

  پاسخ دهید

  (B)

  1.5
• 3

  Express 0.00562 in standard form

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  (A)

  5.62 x 10^-3
• 4

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

  پاسخ دهید

  (E)

  1000
• 5

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

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  (B)

  1/2
• 6

  Evaluate using the logarithm table, log(0.65)²

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  (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

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  (E)

  9.46
• 8

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

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  (C)

  7.44%
• 9

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

  پاسخ دهید

  (C)

  3.5
• 10

  

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

  پاسخ دهید

  (C)

  -2, 1.5
• 11

  

  Find the values of x for which y = 5

  پاسخ دهید

  (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]

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  (B)

  84^o
• 13

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

  پاسخ دهید

  (C)

  242
• 14

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

  پاسخ دهید

  (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?

  پاسخ دهید

  (C)

  35
• 16

  

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

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  (B)

  y ≤ x, y + 2x ≥ -3, x ≤ 3
• 17

  

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

  پاسخ دهید

  (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]

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  (B)

  10.5cm
• 19

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

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  (C)

  (x-12) (x+16)
• 20

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

  پاسخ دهید

  (A)

  (2e-1) (e-1)
• 21

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

  پاسخ دهید

  (C)

  y = 0 or 3/7
• 22

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

  پاسخ دهید

  (E)

  16
• 23

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

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  (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]

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  (D)

  103^o
• 25

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

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  (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?

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  (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

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  (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?

  پاسخ دهید

  (E)

  770cm³
• 29

  

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

  پاسخ دهید

  (C)

  52^o
• 30

  

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

  پاسخ دهید

  (E)

  70^o
• 31

  

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

  پاسخ دهید

  (C)

  10.24cm²
• 32

  

  Which angle is equal to ∠VWZ?

  پاسخ دهید

  (A)

  ∠VXZ
• 33

  

  Which triangle is equal in area to ΔVWZ

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  (B)

  ΔVYZ
• 34

  

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

  پاسخ دهید

  (C)

  48^o
• 35

  

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

  پاسخ دهید

  (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.

  پاسخ دهید

  (E)

  50^o
• 37

  

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

  پاسخ دهید

  (D)

  I and II only
• 38

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

  پاسخ دهید

  (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?

  پاسخ دهید

  (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

  پاسخ دهید

  (B)

  3.8m
• 41

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

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  (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?

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  (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?

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  (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

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  (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?

  پاسخ دهید

  (A)

  8/19