JAMB - Mathematics (2016)

  • 1
    Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
    Trả lời
    (C)
    \(\frac{2x^3}{3}\) + 2x + k
  • 2
    If the mean of 4, y, 8 and 10 is 7. Find Y?
    Trả lời
    (A)
    6
  • 3
    Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
    Trả lời
    (B)
    \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
  • 4
    In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?
    Trả lời
    (B)
    10
  • 5
    If the 2nd term of a G.P is \(\frac{8}{9}\) and the 6th term is 4\(\frac{1}{2}\). Find the common ratio.
    Trả lời
    (B)
    \(\frac{3}{2}\)
  • 6
    From the diagram above, find the value of < OTQ
    Trả lời
    (D)
    65o
  • 7
    The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.
    Trả lời
    (D)
    8
  • 8
    In the diagram above, l1 is parallel to l2, Find the value of < PMT
    Trả lời
    (A)
    82o
  • 9
    From the diagram above, Find the value of < ROP
    Trả lời
    (C)
    95o
  • 10

    The venn diagram shows a class of 50 students with the games they play. How many students play only two games?

    Trả lời
    (A)
    15
  • 11
    If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.
    Trả lời
    (D)
    5
  • 12
    Evaluate \(\int\)(cos4x + sin3x)dx
    Trả lời
    (C)
    \(\frac{1}{4}\)sin4x - \(\frac{1}{3}\)cos3x + k
  • 13
    If x10 = 235. Find x
    Trả lời
    (D)
    13
  • 14
    The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics?
    Trả lời
    (C)
    32o
  • 15
    Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.
    Trả lời
    (D)
    40
  • 16
    The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?
    Trả lời
    (D)
    16
  • 17
    Factorize k2 - 2kp + p2.
    Trả lời
    (B)
    (k - p)2
  • 18
    Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.
    Trả lời
    (B)
    (24 + 4\(\pi\))cm
  • 19
    \(\begin{array}{c|c}
    Marks & 2 & 3 & 4 \\
    \hline
    Frequency & 4 & 4 & y
    \end{array}\)

    The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, find the value of y.
    Trả lời
    (C)
    7
  • 20
    Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.
    Trả lời
    (C)
    {1, 3, 5, 7, 9, 11, 13}
  • 21
    Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form
    Trả lời
    (D)
    1.36 x 10-2
  • 22
    A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?
    Trả lời
    (B)
    25
  • 23
    Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.
    Trả lời
    (B)
    (18 + \(\frac{9\pi}{5}\))cm
  • 24
    Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
    Trả lời
    (C)
    -\(\frac{1}{8}\)
  • 25
    \(\begin{array}{c|c}
    Scores & 3 & 6 & 5 & 2 \\
    \hline
    Frequency & 2 & 3 & 4 & 6
    \end{array}\)

    From the table above, find the median
    Trả lời
    (A)
    3
  • 26
    Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)
    Trả lời
    (B)
    2x2 +\(\frac{4}{x^2}\)
  • 27
    Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures.
    Trả lời
    (D)
    14.11
  • 28
    An arc subtends an angle of 30º at the centre of a circle radius 12cm. Calculate the length of the arc.
    Trả lời
    (B)
    2\(\pi\)cm
  • 29
    Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx
    Trả lời
    (C)
    1
  • 30
    An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.
    Trả lời
    (C)
    36cm
  • 31
    The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is
    Trả lời
    (A)
    2
  • 32
    Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
    Trả lời
    (B)
    0.154
  • 33
    If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)
    Trả lời
    (D)
    6x2 + 12x + 6
  • 34
    The nth term of the sequence 3, 9, 27, 81.....is
    Trả lời
    (B)
    3 x 3n-1
  • 35
    Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
    Trả lời
    (B)
    \(\frac{1}{3}\)
  • 36
    If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?
    Trả lời
    (C)
    225 litres
  • 37
    Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1
    Trả lời
    (A)
    9x2 + 4x + 3
  • 38
    Evaluate \(\int\)(sinx - 5x2)dx
    Trả lời
    (C)
    -cosx - \(\frac{5x^3}{3}\) + k
  • 39
    If N = \(\frac{p}{2}\)(\(\frac{T_1 - T_2}{T_1}\)). Find P when N = 12, T1 = 27 and T2 = 24.
    Trả lời
    (D)
    216
  • 40
    Solve for x and y respectively
    3x - 5y = 9
    6x - 4y = 12
    Trả lời
    (D)
    \(\frac{4}{3}\), -1
  • 41
    If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q\(\cap\)T?
    Trả lời
    (A)
    (2,3)
  • 42

    From the cyclic quadrilateral above, find < TSV

    Trả lời
    (B)
    80o
  • 43
    Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.
    Trả lời
    (C)
    10.2
  • 44

    In the cyclic quadrilateral above . Find < PRO

    Trả lời
    (B)
    20o
  • 45
    OGIVE is constructed using
    Trả lời
    (C)
    Cummulative frequency table