JAMB - Mathematics (2016)

• 1

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

  إجابة

  (C)

  \(\frac{2x^3}{3}\) + 2x + k
• 2

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

  إجابة

  (A)

  6
• 3

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

  إجابة

  (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?

  إجابة

  (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.

  إجابة

  (B)

  \(\frac{3}{2}\)
• 6

  

  From the diagram above, find the value of < OTQ

  إجابة

  (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.

  إجابة

  (D)

  8
• 8

  

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

  إجابة

  (A)

  82^o
• 9

  

  From the diagram above, Find the value of < ROP

  إجابة

  (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?

  إجابة

  (A)

  15
• 11

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

  إجابة

  (D)

  5
• 12

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

  إجابة

  (C)

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

  If x₁₀ = 23₅. Find x

  إجابة

  (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?

  إجابة

  (C)

  32^o
• 15

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

  إجابة

  (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?

  إجابة

  (D)

  16
• 17

  Factorize k² - 2kp + p².

  إجابة

  (B)

  (k - p)²
• 18

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

  إجابة

  (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.

  إجابة

  (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.

  إجابة

  (C)

  {1, 3, 5, 7, 9, 11, 13}
• 21

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

  إجابة

  (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?

  إجابة

  (B)

  25
• 23

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

  إجابة

  (B)

  (18 + \(\frac{9\pi}{5}\))cm
• 24

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

  إجابة

  (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

  إجابة

  (A)

  3
• 26

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

  إجابة

  (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.

  إجابة

  (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.

  إجابة

  (B)

  2\(\pi\)cm
• 29

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

  إجابة

  (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.

  إجابة

  (C)

  36cm
• 31

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

  إجابة

  (A)

  2
• 32

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

  إجابة

  (B)

  0.154
• 33

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

  إجابة

  (D)

  6x² + 12x + 6
• 34

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

  إجابة

  (B)

  3 x 3^n-1
• 35

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

  إجابة

  (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?

  إجابة

  (C)

  225 litres
• 37

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

  إجابة

  (A)

  9x² + 4x + 3
• 38

  Evaluate \(\int\)(sinx - 5x²)dx

  إجابة

  (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.

  إجابة

  (D)

  216
• 40

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

  إجابة

  (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?

  إجابة

  (A)

  (2,3)
• 42

  

  From the cyclic quadrilateral above, find < TSV

  إجابة

  (B)

  80^o
• 43

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

  إجابة

  (C)

  10.2
• 44

  

  In the cyclic quadrilateral above . Find < PRO

  إجابة

  (B)

  20^o
• 45

  OGIVE is constructed using

  إجابة

  (C)

  Cummulative frequency table