WAEC - Mathematics (2020)

• 1

  Evaluate and correct to two decimal places, 75.0785 - 34.624 + 9.83 

  Trả lời

  (C)

  50.28
• 2

  If  X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of \(\mu\) = {1, 2, 3...10} find X \(\cap\) Y.

  Trả lời

  (B)

  {1, 2, 3, 4, 6}
• 3

  Simplify; [(\(\frac{16}{9}\))\(^{\frac{-3}{2}}\) x 16\(^{\frac{-3}{4}}\)]\(^{\frac{1}{3}}\)

  Trả lời

  (C)

  \(\frac{3}{8}\)
• 4

  Express 1 + 2 log10\(^3\) in the form log10\(^9\) 

  Trả lời

  (A)

  log10\(^{90}\)
• 5

  If 101\(_{\text{two}}\) + 12\(_y\) = 23\(_{\text{five}}\). Find the value of y

  Trả lời

  (C)

  6
• 6

  An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years. Find the value of x

  Trả lời

  (D)

  N500,000.00
• 7

  Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) 

  = x + y\(\sqrt{15}\), find the value of (x + y) 

  Trả lời

  (C)

  1\(\frac{1}{5}\)
• 8

  If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^3\))

  Trả lời

  (C)

  20
• 9

  Solve 3x - 2y = 10 and x + 3y = 7 simultaneously

  Trả lời

  (D)

  x = 4 and y = 1
• 10

  The implication x \(\to\) y is equivalent to?

  Trả lời

  (A)

  ~ y \(\to\) ~ x
• 11

  The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio. 

  Trả lời

  (A)

  2
• 12

  Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

  Trả lời

  (D)

  x < \(\frac{-7}{27}\)
• 13

  Make m the subject of the relation k = \(\sqrt{\frac{m - y}{m + 1}}\)

  Trả lời

  (B)

  m = \(\frac{y + k^2}{1 - k^2}\)
• 14

  Find the quadratic equation whose roots are \(\frac{1}{2}\)  and -\(\frac{1}{3}\) 

  Trả lời

  (D)

  6x\(^2\) - x - 1 = 0
• 15

  Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z

  Trả lời

  (A)

  x = \(\frac{6y}{z}\)
• 16

  Two buses start from the same station at 9.00am and travel in opposite directions along the same straight road. The first bus travel at a speed of 72 km/h and the second at 48 km/h. At what time will they be 240km apart?

  Trả lời

  (C)

  11:00 am
• 17

  A solid cuboid has a length of 7 cm, a width of 5 cm, and a height of 4 cm. Calculate its total surface area.

  Trả lời

  (B)

  166 cm\(^2\)
• 18

  In the diagram, PQ // SR. Find the value of x

   

  

  Trả lời

  (B)

  46
• 19

  Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3) 

  Trả lời

  (C)

  y = \(\frac{3}{2} x\)
• 20

  The expression \(\frac{5x + 3}{6x (x + 1)}\) will be undefined when x equals 

  Trả lời

  (B)

  {0, -1}
• 21

  A man is five times as old as his son. In four years' time, the product of their ages would be 340. If the son's age is y, express the product of their ages in terms of y.

  Trả lời

  (D)

  5y\(^2 + 24y - 324 = 0\)
• 22

  Simplify; \(\frac{a}{b} - \frac{b}{a} - \frac{c}{b}\)

  Trả lời

  (D)

  \(\frac{a^2 - b^2 - ac}{ab}\)
• 23

  

  In the diagram, XYZ is an equilateral triangle of side 6cm and Y is the midpoint of \(\overline{XY}\). Find tan (< XZT) 

  Trả lời

  (A)

  \(\frac{1}{\sqrt{3}}\)
• 24

  A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence. 

  Trả lời

  (B)

  53.67\(^o\)
• 25

  Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales?

  Trả lời

  (D)

  ₦10(x + y)
• 26

  If tan y is positive and sin y is negative, in which quadrant would y lie? 

  Trả lời

  (C)

  Third only
• 27

  The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm\(^3\), how high is the pyramid? 

  Trả lời

  (D)

  7cm
• 28

  Each interior angle of a regular polygon is 168\(^o\). Find the number of sides of the polygon 

  Trả lời

  (A)

  30
• 29

  

  In the diagram, \(\overline{MN}\)//\(\overline{PQ}\), < MNP = 2x, and < NPQ = (3x - 50)°. Find the value of < NPQ 

  Trả lời

  (B)

  100\(^o\)
• 30

  The length of an arc of a circle of radius 3.5 cm is  1\(\frac{19}{36}\) cm. Calculate, correct to the nearest degree , the angle substended by the centre of the circle. [Take \(\pi = \frac{22}{7}\)] 

  Trả lời

  (C)

  25\(^o\)
• 31

  

  In the diagram, \(\overline{PU}\)/\(\overline{SR}\),  \(\overline{PS}\)/\(\overline{TR}\),  \(\overline{QS}\)/\(\overline{UR}\),  \(\overline{UR}\) = 15cm, \(\overline{SR}\) = 8 cm, \(\overline{PS}\) = 10 cm and area of △SUR = 24 cm\(^2\). Calculate the area of PTRS.

  Trả lời

  (C)

  80 cm\(^2\)
• 32

  

  In the diagram, PQR is a circle with center O. If ∠OPQ = 48°, find the value of M.

   

  Trả lời

  (A)

  96\(^o\)
• 33

  

  The pie chart shows the population of men, women, and children in a city. If the population of the city is 1,800,000, how many men are in the city?

  Trả lời

  (C)

  355,000
• 34

  The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation 

  Trả lời

  (C)

  5
• 35

  Find the sum of the interior angle of a pentagon.

  Trả lời

  (C)

  540\(^o\)
• 36

  The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm\(^3\), the volume of the sphere, [Take \(\pi = \frac{22}{7}\)]

  Trả lời

  (C)

  905 cm\(^3\)
• 37

  A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If a ball is selected at random from the box, what is the probability that it is green? 

  Trả lời

  (D)

  \(\frac{1}{4}\)
• 38

  A box contains 12 identical balls of which 5 are red, 4 blue, and the rest are green. If two balls are selected at random one after the other with replacement, what is the probability that both are red? 

  Trả lời

  (A)

  \(\frac{25}{144}\)
• 39

  

  In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.

  Trả lời

  (B)

  60\(^o\)
• 40

  x	6.20	6.85	7.50
  y	3.90	5.20	6.50

  The points on a linear graph are as shown in the table. Find the gradient (slope) of the line. 

  Trả lời

  (B)

  2
• 41

  

  In the diagram, O is the center of the circle. \(\overline{PQ}\) and \(\overline{RS}\)  are tangents to the circle. Find the value of (M + N).

  Trả lời

  (B)

  90\(^o\)
• 42

  Which of the following is not a sufficient condition for two triangles to be congruent?

  Trả lời

  (D)

  SSA
• 43

  A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00, what was the original price?

  Trả lời

  (C)

  $656.25
• 44

  The interquartile range of distribution is 7. If the 25th percentile is 16, find the upper quartile.

  Trả lời

  (C)

  23
• 45

  

  The graph of the equations y = 2x + 5 and y = 2x\(^2\) + x - 1 are shown. Use the information above to answer this question.

  Find the point of intersection of the two graphs.

  Trả lời

  (A)

  (2.0, 9.0) and (-1.5, 2.0)