JAMB - Mathematics (2016)

• 1

  Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x

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  (C)

  \(\frac{2x^3}{3}\) + 2x + k
• 2

  If the mean of 4, y, 8 and 10 is 7. Find Y?

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  (A)

  6
• 3

  Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)

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  (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?

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  (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.

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  (B)

  \(\frac{3}{2}\)
• 6

  

  From the diagram above, find the value of < OTQ

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  (D)

  65^o
• 7

  The sum of the interior angles of a polygon is a given as 1080^o. Find the number of the sides of the polygon.

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  (D)

  8
• 8

  

  In the diagram above, l₁ is parallel to l₂, Find the value of < PMT

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  (A)

  82^o
• 9

  

  From the diagram above, Find the value of < ROP

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  (C)

  95^o
• 10

  

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

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  (A)

  15
• 11

  If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.

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  (D)

  5
• 12

  Evaluate \(\int\)(cos4x + sin3x)dx

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  (C)

  \(\frac{1}{4}\)sin4x - \(\frac{1}{3}\)cos3x + k
• 13

  If x₁₀ = 23₅. Find x

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  (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?

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  (C)

  32^o
• 15

  Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

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  (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?

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  (D)

  16
• 17

  Factorize k² - 2kp + p².

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  (B)

  (k - p)²
• 18

  Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.

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  (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.

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  (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.

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  (C)

  {1, 3, 5, 7, 9, 11, 13}
• 21

  Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form

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  (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?

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  (B)

  25
• 23

  Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36^o.

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  (B)

  (18 + \(\frac{9\pi}{5}\))cm
• 24

  Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)

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  (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

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  (A)

  3
• 26

  Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)

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  (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.

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  (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.

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  (B)

  2\(\pi\)cm
• 29

  Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx

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  (C)

  1
• 30

  An arc of the length 16\(\pi\)cm subtends an angle of 80^o at the centre of the circle. Find the radius of the circle.

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  (C)

  36cm
• 31

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

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  (A)

  2
• 32

  Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.

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  (B)

  0.154
• 33

  If y = 2x³ + 6x² + 6x + 1, Find \(\frac{dy}{dx}\)

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  (D)

  6x² + 12x + 6
• 34

  The nth term of the sequence 3, 9, 27, 81.....is

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  (B)

  3 x 3^n-1
• 35

  Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)

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  (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?

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  (C)

  225 litres
• 37

  Find \(\frac{dy}{dx}\). If y = 3x³ + 2x² + 3x + 1

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  (A)

  9x² + 4x + 3
• 38

  Evaluate \(\int\)(sinx - 5x²)dx

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  (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.

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  (D)

  216
• 40

  Solve for x and y respectively
  3x - 5y = 9
  6x - 4y = 12

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  (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?

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  (A)

  (2,3)
• 42

  

  From the cyclic quadrilateral above, find < TSV

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  (B)

  80^o
• 43

  Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.

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  (C)

  10.2
• 44

  

  In the cyclic quadrilateral above . Find < PRO

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  (B)

  20^o
• 45

  OGIVE is constructed using

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  (C)

  Cummulative frequency table