JAMB - Mathematics (2016)

• 1

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

  Răspuns

  (C)

  \(\frac{2x^3}{3}\) + 2x + k
• 2

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

  Răspuns

  (A)

  6
• 3

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

  Răspuns

  (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?

  Răspuns

  (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.

  Răspuns

  (B)

  \(\frac{3}{2}\)
• 6

  

  From the diagram above, find the value of < OTQ

  Răspuns

  (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.

  Răspuns

  (D)

  8
• 8

  

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

  Răspuns

  (A)

  82^o
• 9

  

  From the diagram above, Find the value of < ROP

  Răspuns

  (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?

  Răspuns

  (A)

  15
• 11

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

  Răspuns

  (D)

  5
• 12

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

  Răspuns

  (C)

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

  If x₁₀ = 23₅. Find x

  Răspuns

  (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?

  Răspuns

  (C)

  32^o
• 15

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

  Răspuns

  (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?

  Răspuns

  (D)

  16
• 17

  Factorize k² - 2kp + p².

  Răspuns

  (B)

  (k - p)²
• 18

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

  Răspuns

  (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.

  Răspuns

  (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.

  Răspuns

  (C)

  {1, 3, 5, 7, 9, 11, 13}
• 21

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

  Răspuns

  (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?

  Răspuns

  (B)

  25
• 23

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

  Răspuns

  (B)

  (18 + \(\frac{9\pi}{5}\))cm
• 24

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

  Răspuns

  (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

  Răspuns

  (A)

  3
• 26

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

  Răspuns

  (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.

  Răspuns

  (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.

  Răspuns

  (B)

  2\(\pi\)cm
• 29

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

  Răspuns

  (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.

  Răspuns

  (C)

  36cm
• 31

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

  Răspuns

  (A)

  2
• 32

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

  Răspuns

  (B)

  0.154
• 33

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

  Răspuns

  (D)

  6x² + 12x + 6
• 34

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

  Răspuns

  (B)

  3 x 3^n-1
• 35

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

  Răspuns

  (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?

  Răspuns

  (C)

  225 litres
• 37

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

  Răspuns

  (A)

  9x² + 4x + 3
• 38

  Evaluate \(\int\)(sinx - 5x²)dx

  Răspuns

  (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.

  Răspuns

  (D)

  216
• 40

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

  Răspuns

  (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?

  Răspuns

  (A)

  (2,3)
• 42

  

  From the cyclic quadrilateral above, find < TSV

  Răspuns

  (B)

  80^o
• 43

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

  Răspuns

  (C)

  10.2
• 44

  

  In the cyclic quadrilateral above . Find < PRO

  Răspuns

  (B)

  20^o
• 45

  OGIVE is constructed using

  Răspuns

  (C)

  Cummulative frequency table