JAMB - Mathematics (2016)

• 1

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

  Хариулт

  (C)

  \(\frac{2x^3}{3}\) + 2x + k
• 2

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

  Хариулт

  (A)

  6
• 3

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

  Хариулт

  (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?

  Хариулт

  (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.

  Хариулт

  (B)

  \(\frac{3}{2}\)
• 6

  

  From the diagram above, find the value of < OTQ

  Хариулт

  (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.

  Хариулт

  (D)

  8
• 8

  

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

  Хариулт

  (A)

  82^o
• 9

  

  From the diagram above, Find the value of < ROP

  Хариулт

  (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?

  Хариулт

  (A)

  15
• 11

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

  Хариулт

  (D)

  5
• 12

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

  Хариулт

  (C)

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

  If x₁₀ = 23₅. Find x

  Хариулт

  (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?

  Хариулт

  (C)

  32^o
• 15

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

  Хариулт

  (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?

  Хариулт

  (D)

  16
• 17

  Factorize k² - 2kp + p².

  Хариулт

  (B)

  (k - p)²
• 18

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

  Хариулт

  (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.

  Хариулт

  (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.

  Хариулт

  (C)

  {1, 3, 5, 7, 9, 11, 13}
• 21

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

  Хариулт

  (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?

  Хариулт

  (B)

  25
• 23

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

  Хариулт

  (B)

  (18 + \(\frac{9\pi}{5}\))cm
• 24

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

  Хариулт

  (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

  Хариулт

  (A)

  3
• 26

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

  Хариулт

  (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.

  Хариулт

  (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.

  Хариулт

  (B)

  2\(\pi\)cm
• 29

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

  Хариулт

  (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.

  Хариулт

  (C)

  36cm
• 31

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

  Хариулт

  (A)

  2
• 32

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

  Хариулт

  (B)

  0.154
• 33

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

  Хариулт

  (D)

  6x² + 12x + 6
• 34

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

  Хариулт

  (B)

  3 x 3^n-1
• 35

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

  Хариулт

  (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?

  Хариулт

  (C)

  225 litres
• 37

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

  Хариулт

  (A)

  9x² + 4x + 3
• 38

  Evaluate \(\int\)(sinx - 5x²)dx

  Хариулт

  (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.

  Хариулт

  (D)

  216
• 40

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

  Хариулт

  (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?

  Хариулт

  (A)

  (2,3)
• 42

  

  From the cyclic quadrilateral above, find < TSV

  Хариулт

  (B)

  80^o
• 43

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

  Хариулт

  (C)

  10.2
• 44

  

  In the cyclic quadrilateral above . Find < PRO

  Хариулт

  (B)

  20^o
• 45

  OGIVE is constructed using

  Хариулт

  (C)

  Cummulative frequency table