JAMB - Mathematics (2020)

  • 1
    Evaluate (212)\(_3\) - (121)\(_3\) + (222)\(_3\)
    پاسخ دهید
    (C)
    (1020)\(_3\)
  • 2
    Factorise (4a + 3) \(^2\) - (3a - 2)\(^2\)
    پاسخ دهید
    (C)
    (a + 5)(7a + 1)
  • 3
    Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119 
    پاسخ دهید
    (B)
    125
  • 4
    Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)(x + 4) 
    پاسخ دهید
    (D)
    x > 11
  • 5
    Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\) 
    پاسخ دهید
    (C)
    1.1
  • 6
    Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours? 
    پاسخ دهید
    (D)
    20
  • 7
    What is the circumference of latitude 0\(^o\)S if R is the radius of the earth? 
    پاسخ دهید
    (B)
    2\(\pi\)R cos \(\theta\)
  • 8
    A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room 
    پاسخ دهید
    (A)
    \(\frac{15}{17}\)
  • 9

    The goals scored by 40 football teams from three league  divisions are recorded below

    No of goals 0 1 2 3 4 5 6
    Frequency 4 3 15 16 1 0 1

    What is the total number of goals scored by all the teams?

    پاسخ دهید
    (C)
    91
  • 10
    In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12\(^o\). How many students are offering physics? 
    پاسخ دهید
    (D)
    5
  • 11
    If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5
    پاسخ دهید
    (C)
    0.6532
  • 12
    Simplify \(\frac{324 - 4x^2}{2x + 18}\) 
    پاسخ دهید
    (D)
    -2(x - 9)
  • 13
    In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart? 
    پاسخ دهید
    (D)
    157.5\(^o\)
  • 14
    The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.
    پاسخ دهید
    (D)
    29.8cm
  • 15
    What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
    پاسخ دهید
    (C)
    1
  • 16
    A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle? 
    پاسخ دهید
    (D)
    \(\frac{7}{12}\)
  • 17

    In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS 

    پاسخ دهید
    (A)
    136\(^o\)
  • 18
    Find the gradient of the line passing through the points (-2, 0) and (0, -4) 
    پاسخ دهید
    (C)
    -2
  • 19
    Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
    پاسخ دهید
    (B)
    7x + 5y = 70
  • 20
    If N225.00 yields N27.00 in x years simple interest at the rate of 4% per annum, find x. 
    پاسخ دهید
    (A)
    3
  • 21
     Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13 
    پاسخ دهید
    (A)
    2
  • 22
    A number is selected at random between 20 and 30, both numbers inclusive. Find the probability that the number is a prime. 
    پاسخ دهید
    (A)
    \(\frac{2}{11}\)
  • 23

    The equation of the line in the graph is 

    پاسخ دهید
    (C)
    3y = -4x + 12
  • 24
    Express the product of 0.0014 and 0.011 in standard form 
    پاسخ دهید
    (D)
    1.54 x 10\(^{-5}\)
  • 25
    A school boy lying on the ground 30m away from the foot of a water tank towel observes that the angle of elevation of the top of the tank is 60\(^o\). Calculate the height of the tank.
    پاسخ دهید
    (B)
    30\(\sqrt{3m}\)
  • 26
    Find the simple interest rate percent annum at which N1000 accumulates to N1240 in 3 years. 
    پاسخ دهید
    (B)
    8%
  • 27

    The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary. 

    پاسخ دهید
    (A)
    N2,050
  • 28
    If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\) 
    پاسخ دهید
    (A)
    x > -\(\frac{1}{6}\)
  • 29
    Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\) 
    پاسخ دهید
    (A)
    3\(\sqrt{2}\) + 4
  • 30
    A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 - a, find the possible values of a?
    پاسخ دهید
    (A)
    1, -2
  • 31
    The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
    پاسخ دهید
    (A)
    \(\frac{\pi r}{3}\)
  • 32
    A sector of circle of radius 7.2cm which substends an angle of 300\(^o\) at the centre is used to form a cone. What s the radius of the base of the cone?
    پاسخ دهید
    (C)
    6cm
  • 33
    A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?
    پاسخ دهید
    (D)
    20m
  • 34
    The acres for rice, pineapple, cassava, cocoa and palm oil in a certain district are given respectively as 2, 5, 3, 11 and 9. What is the angle of the sector of cassava in a pie chart? 
    پاسخ دهید
    (B)
    36\(^o\)
  • 35
    Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio 
    پاسخ دهید
    (A)
    \(\frac{3}{2}\)