JAMB - Mathematics (2016)

• 1

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

  პასუხი

  (C)

  \(\frac{2x^3}{3}\) + 2x + k
• 2

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

  პასუხი

  (A)

  6
• 3

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

  პასუხი

  (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?

  პასუხი

  (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.

  პასუხი

  (B)

  \(\frac{3}{2}\)
• 6

  

  From the diagram above, find the value of < OTQ

  პასუხი

  (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.

  პასუხი

  (D)

  8
• 8

  

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

  პასუხი

  (A)

  82^o
• 9

  

  From the diagram above, Find the value of < ROP

  პასუხი

  (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?

  პასუხი

  (A)

  15
• 11

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

  პასუხი

  (D)

  5
• 12

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

  პასუხი

  (C)

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

  If x₁₀ = 23₅. Find x

  პასუხი

  (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?

  პასუხი

  (C)

  32^o
• 15

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

  პასუხი

  (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?

  პასუხი

  (D)

  16
• 17

  Factorize k² - 2kp + p².

  პასუხი

  (B)

  (k - p)²
• 18

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

  პასუხი

  (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.

  პასუხი

  (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.

  პასუხი

  (C)

  {1, 3, 5, 7, 9, 11, 13}
• 21

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

  პასუხი

  (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?

  პასუხი

  (B)

  25
• 23

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

  პასუხი

  (B)

  (18 + \(\frac{9\pi}{5}\))cm
• 24

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

  პასუხი

  (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

  პასუხი

  (A)

  3
• 26

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

  პასუხი

  (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.

  პასუხი

  (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.

  პასუხი

  (B)

  2\(\pi\)cm
• 29

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

  პასუხი

  (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.

  პასუხი

  (C)

  36cm
• 31

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

  პასუხი

  (A)

  2
• 32

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

  პასუხი

  (B)

  0.154
• 33

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

  პასუხი

  (D)

  6x² + 12x + 6
• 34

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

  პასუხი

  (B)

  3 x 3^n-1
• 35

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

  პასუხი

  (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?

  პასუხი

  (C)

  225 litres
• 37

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

  პასუხი

  (A)

  9x² + 4x + 3
• 38

  Evaluate \(\int\)(sinx - 5x²)dx

  პასუხი

  (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.

  პასუხი

  (D)

  216
• 40

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

  პასუხი

  (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?

  პასუხი

  (A)

  (2,3)
• 42

  

  From the cyclic quadrilateral above, find < TSV

  პასუხი

  (B)

  80^o
• 43

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

  პასუხი

  (C)

  10.2
• 44

  

  In the cyclic quadrilateral above . Find < PRO

  პასუხი

  (B)

  20^o
• 45

  OGIVE is constructed using

  პასუხი

  (C)

  Cummulative frequency table