JAMB - Mathematics (2014)

• 1

  Find the value of 110111₂ + 10100₂

  Menjawab

  (C)

  1001011₂
• 2

  A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

  Menjawab

  (C)

  N51,000
• 3

  Express the product of 0.00043 and 2000 in standard form.

  Menjawab

  (C)

  8.6 x 10^-1
• 4

  A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

  Menjawab

  (B)

  N45,000
• 5

  If log7.5 = 0.8751, evaluate 2 log75 + log750

  Menjawab

  (B)

  6.6253
• 6

  Solve for x in 8x^-2 = 2/25

  Menjawab

  (D)

  10
• 7

  Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)

  Menjawab

  (A)

  3\(\sqrt{6} - 7\)
• 8

  Evaluate Log₂8 + Log₂16 - Log₂4

  Menjawab

  (C)

  5
• 9

  If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q

  Menjawab

  (C)

  {6,7}
• 10

  If gt² - k - w = 0, make g the subject of the formula

  Menjawab

  (A)

  \(\frac{k + w}{t^2}\)
• 11

  Factorize 2y² - 15xy + 18x²

  Menjawab

  (B)

  (2y - 3x) (y - 6x)
• 12

  Find the value of k if y - 1 is a factor of y³ + 4y² + ky - 6

  Menjawab

  (D)

  1
• 13

  y varies directly as w². When y = 8, w = 2. Find y when w = 3

  Menjawab

  (A)

  18
• 14

  P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.

  Menjawab

  (B)

  \(P = \frac{12Q}{R}\)
• 15

  What is the solution of \(\frac{x - 5}{x + 3} < -1\)?

  Menjawab

  (A)

  -3 < x < 1
• 16

  Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)

  Menjawab

  (A)

  \(x \geq 4\)
• 17

  The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

  Menjawab

  (C)

  73
• 18

  What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?

  Menjawab

  (A)

  \(\sqrt{2}\)
• 19

  A binary operation * is defined by x * y = x^y. If x * 2 = 12 - x, find the possible values of x

  Menjawab

  (B)

  3,-4
• 20

  Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)

  Menjawab

  (C)

  3
• 21

  If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = - 12\), find x.

  Menjawab

  (D)

  6
• 22

  Find the value of \(\begin{vmatrix}0 & 3 & 2 \\1 & 7 & 8 \\0 & 5 & 4\end{vmatrix}\).

  Menjawab

  (D)

  -2
• 23

  How many sides has a regular polygon whose interior angle is 135°?

  Menjawab

  (D)

  8
• 24

  A cylindrical tank has a capacity of 6160m³. What is the depth of the tank if the radius of its base is 28cm?

  Menjawab

  (D)

  2.5m
• 25

  Find the mid point of S(-5, 4) and T(-3, -2)

  Menjawab

  (C)

  -4, 1
• 26

  The gradient of a line joining (x,4) and (1,2) is \(\frac{1}{2}\). Find the value of x

  Menjawab

  (A)

  5
• 27

  Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.

  Menjawab

  (A)

  \(\begin{pmatrix} 3 & -3 \\ 8 & 2 \end{pmatrix}\)
• 28

  If \(\sin\theta = \frac{12}{13}\), find the value of \(1 + \cos\theta\)

  Menjawab

  (B)

  \(\frac{18}{13}\)
• 29

  If y = 4x³ - 2x² + x, find \(\frac{\delta y}{\delta x}\)

  Menjawab

  (D)

  12x² - 4x + 1
• 30

  If y = cos 3x, find \(\frac{\delta y}{\delta x}\)

  Menjawab

  (D)

  -3 sin 3x
• 31

  Find the minimum value of y = x² - 2x - 3

  Menjawab

  (D)

  -4
• 32

  Evaluate \(\int \sin 2x dx\)

  Menjawab

  (C)

  \(-\frac{1}{2}\)cos 2x + k
• 33

  Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)

  Menjawab

  (C)

  \(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
• 34

  The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

  Menjawab

  (C)

  2
• 35

  \(\begin{array}{c|c}
  Values & 0 & 1 & 2 & 3 & 4 \\
  \hline
  Frequency & 1 & 2 & 2 & 1 & 9
  \end{array}\)
  
  Find the mode of the distribution above

  Menjawab

  (D)

  4
• 36

  Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

  Menjawab

  (B)

  5
• 37

  Find the standard deviation of 5, 4, 3, 2, 1

  Menjawab

  (A)

  \(\sqrt{2}\)
• 38

  In how many ways can a team of 3 girls be selected from 7 girls?

  Menjawab

  (C)

  \(\frac{7!}{3!4!}\)
• 39

  \(\begin{array}{c|c}
  Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
  \hline
  Frequency & 18 & 22 & 20 & 16 & 10 & 14
  \end{array}\)
  
  The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

  Menjawab

  (C)

  \(\frac{2}{5}\)
• 40

  A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

  Menjawab

  (C)

  \(\frac{1}{3}\)
• 41

  

  From the venn diagram above, the shaded parts represent

  Menjawab

  (A)

  (P\(\cap\)Q)\(\cup\)(P\(\cap\)R)
• 42

  

  In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54^o and angle MKN is 35^o, calculate the size of angle KMN.

  Menjawab

  (C)

  37^o
• 43

  

  From the figure above, what is the value of p?

  Menjawab

  (B)

  90^o
• 44

  

  Find the value of x in the figure above

  Menjawab

  (B)

  10\(\sqrt{3}\)cm
• 45

  

  in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

  Menjawab

  (B)

  y = -x + 5