JAMB - Mathematics (2022)

• 1

  Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1

  إجابة

  (C)

  -2
• 2

  Evaluate \((101_{two})^3\)

  إجابة

  (C)

  \(1111101_{two}\)
• 3

  

  The shaded portion in the venn diagram above represents?

  إجابة

  (B)

  E' n F n G'
• 4

  If a fair coin is tossed twice, what is the probability of obtaining at least one head?

  إجابة

  (B)

  0.75
• 5

  If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median 

  إجابة

  (C)

  6.5
• 6

  If sin θ = -  \(\frac{3}{5}\) and θ lies in the third quadrant, find cos θ

  إجابة

  (D)

  - \(\frac{4}{5}\)
• 7

  Simplify \(\frac{1}{3-√2}\) in the form of p + q√2

  إجابة

  (D)

  \(\frac{3}{7}\) + \(\frac{√2}{7}\)
• 8

  Find the length of a chord 3cm from the centre of a circle of radius 5cm

  إجابة

  (A)

  8cm
• 9

  Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

  F	R	C	G	S	M
  28%	15%	20%	14%	10%	13%

  If the above information is represented on a pie chart. What angle represents his spending on food?

  إجابة

  (B)

  100.8
• 10

  A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?

  إجابة

  (D)

  60.0cm\(^3\)
• 11

  The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

  إجابة

  (A)

  35/3
• 12

  

  In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

  إجابة

  (A)

  180º - gº - hº
• 13

  In how many ways can the letter of ZOOLOGY be arranged?

  إجابة

  (C)

  840
• 14

  Integrate (2x+1)\(^3\)

  إجابة

  (B)

  \(\frac{{2x+1}^4}{8}\) + C
• 15

  If A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find AB

  إجابة

  (D)

  \(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
• 16

  Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula

  إجابة

  (C)

  v =  \(\frac{πr^2h}{3}\)
• 17

  Find the determinant of the matrix A = \(\begin{pmatrix} 2 & 3 \\ 1 & 3 \end{pmatrix}\)

  إجابة

  (D)

  3
• 18

  Evaluate Log\(_2\) 8√2

  إجابة

  (C)

  3.5
• 19

  The locus of points equidistant from a fixed point.

  إجابة

  (A)

  circle
• 20

  What will be the result obtained when the numerator of \(\frac{96}{50}\) is decreased by 37.5% and its denominator decreased by 20%.

  إجابة

  (A)

  1.5
• 21

  A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?

  إجابة

  (C)

  17.5%
• 22

  If sec\(^2\)θ + tan\(^2\)θ = 3, then the angle θ is equal to?

  إجابة

  (C)

  45º
• 23

  find the limit of y = \(\frac{x^3 + 6x - 7}{x-1}\) as x tends to 1

  إجابة

  (A)

  9
• 24

  Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

  إجابة

  (C)

  2x - y = -5
• 25

  Calculate the median of 14, 17, 10, 13, 18 and 10.

  إجابة

  (B)

  13.5
• 26

  The equivalent of (10110.011)\(_2\) in base 10 is?

  إجابة

  (D)

  22.375
• 27

  The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

  إجابة

  (C)

  2000
• 28

  The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by? 

  إجابة

  (D)

  ( \(\frac{-1}{2}\), \(\frac{15}{2}\) )
• 29

  Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3 

  إجابة

  (B)

  45
• 30

  Given that S = \(3t^{2}\) + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.

  إجابة

  (C)

  5m/s
• 31

  

   

  In the diagram above, XY = 8cm and OX = 5cm. Find Oz

   

  إجابة

  (D)

  3cm
• 32

  Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)\(^2\), then find 3 * 5

  إجابة

  (A)

  223
• 33

  If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

   

  إجابة

  (B)

  1
• 34

  If 8, p, q and 26 is an A.P. Find the values of p and q

  إجابة

  (D)

  p = 14 and q = 20
• 35

  Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

  إجابة

  (B)

  2.0