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## Friday, 9 March 2018

### JAMB 2018 Likely Mathematics Questions and Answers

1 :- define the binary operation *by a*b-a2+b2. evaluate 4*3
2 :- define the angle marked x in the diagram above
3 :- find the number of villages that had at least 6 babies
4 :- find f2(2x-3)dx
5 :- find its mode of the given data
6 :- in how many ways can the given letters of the word LOUNGE can be arranged?
7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP
7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP
8 :- expres 0.1364*0.15 expressed in standard form
9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress
9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress
10 :- find the number of ways the letters of the word COMMITTEE can be permutated
11 :- represent the inequality -1<x<3 on a number line
12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree
12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree
13 :- a box containing 10 black,4 green,and 6 yellow pens.what is the probability of picking a yellow pen with eyes closed?
CORRECT ANSWER = 3 over 10
14 :- find the base in which the following addition was performed
15 :- find the simple interest on N7500 in 4 years at 5%
16 :- FIND THE VALUES OF X AND V RESPECTIVELY IF
CORRECT ANSWER = minus 3,minus 5
17 :- find the diagram above,angles=e because they are
18 :- P varies directly as the square of q and inversely as r if p=36 when q=3 and r=4 find p when q =5 and r=2
\19 :- given S=(s:s is prime numbers below 11) and
20 :- if p={2 4 0 1 5 -2 3 6 -3} find [p]
21 :- From the diagram above, which of these statement describe intercept?
CORRECT ANSWER = The line wx is an intercept
22 :- Which of the following options describes the venn diagram below?
23 :- Evaluate 3(tanx+1)=6
24 :- Evaluate 8.45 x 5.32/7.5, and express your answer to 3s.f
25 :- Simplify (3 square root 3)raised to power 2/3
26 :- The product of the numbers 433 and 23 in base 5 is
CORRECT ANSWER = (22114) base 5
27 :- A man mistakely paid N60000 to acustomer instead of N72000. what is the percentage error
CORRECT ANSWER = 16 raised to 2/3
28 :- The reminder when 3x3 - 4x2 -13x +6 is dividwd by x-1 is
29 :- Differentaite y=6x4 -2x3 +8
30 :- The locus of a pont moving with the equal distance from a pont is
31 :- Evaluate (square root 5)raised to power 2 - (square root 4) raised to power 2
32 :- Find the sum to infinity of 2,4,8,16,32?
33 :- Give the function y=3x2 -5x, find the dy/dx at x=-1
34 :- The pie chart above shows the choice of subject among 60 SSS III students. How many of them offerd biology
35 :- Find the gradient of the straight line passing through the points p(-1, 3) and Q(5, -1
36 :- Factorize the function 3x2 + 5x - 12
CORRECT ANSWER = (3x -4) (x +3)
37 :- If the length of a rectangle is 4 times its width and its area is 144cm2. what is the peremiter
38 :- factorize x3 -y3
CORRECT ANSWER = (x-y) (x2 +xy+y2)
39 :- L varies inversely as the square of V. when L=4, V=3, find V when L=1
40 :- marks 123456??????.Number of students 16819124 from the table above find the range of the distribution.
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1 :- From the triangle PQR above, calculate PQ
12
2 :- For what value of y is the function x = 8/y+5 not define?
-5
3 :- Find th values of x for which x power 3 - x power 2 - 5x is minimum
-1
4 :- A class consists of 12 boys and 8 girls, what is th probability that if two people were chosen at random
with replacement from the class, it will be a and a girl in that order?
6/25
5 :- The locus of a poin P, such that the area of QPR is constant, where QR is the base of triangles, is
An arc of a circle
6 :- Given the figure above, find the area of the portion marked x.
2 pie/3 - root 3
7 :- Find the ara of the shaded segment in the diagram above.
30.1cm square
8 :- If P = [3,5,2] and Q = [5,4,-6 2,1,0 3,-3,5] [2,5,2] = [31,11,-8], find QP
[31,11,-8]
9 :- In how many ways can we arrange 8 men in a round table so that 2 must sit together?
1440 ways
10 :- From the above, calculate the bearing of R from P
70 degree
11 :- Find the modal score from the above frequency distribution.
3
12 :- Find the equation of the line passing through the point (0,-4) and whose gradient is -2
y = -2x - 4
13 :- Find the values of x if |x,-2 -2,x| - 0
x = + or - 2
14 :- A bicycle which cost N10,500 was hired at 5% interest per annum. Find the interest the bicycle yield
in 8 years.
N4,200
15 :- Find the equation of a straight line parallel to the line y = x - 5 and passes through the orgin (0,0)
y = x
16 :- In the diagram above, QRU and QST are in adjacent plans. QS = QT = 7cm. ST = 6cm <QUR = 60
degree. Find <RQU.
30 degree
17 :- Evaluate S cos y + x dx
sin x + x power 2 /2 + K
18 :- If the mode is p and the median is q, then (p,q) is
(5,5)
19 :- The shaded portion in the Venn diagram above represents
P n Q n R
20 :- What is the remainder if f(x) -2x power 3 - x power 2 + 2 is divided by (x - 2)
14
21 :- Make R the subject of the formula D = cube root 2 pie RQ / 360
180D power 3 / pie Q
22 :- Find the product of 1101 and 1110 in base two
(10110110)
23 :- The 2nd term of a GP is 4 and the 5th term is 32. Find the first and common ratio respectively.
2,2
24 :- In an examination Fadimatu scored 348 marks which is 58% of the total score. Her junior sister
Maimuma scored 330 marks in the same examination . Calculate Maimuma's percentage score.
55%
25 :- Evaluate 11m / x - 2 x power 2 /x+2
-4
26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?
4
26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?
4
27 :- Find the number of arrangement of the letters of the word ASSOCIATION
11! / 2! 2! 2!
28 :- Find the value of 2log3 base 3 + log 4 base 2 + log 100 base 10
6
29 :- Find the mean deviation of the distribution 7,5,6,7,8 and 9
1
30 :- Find the 25th term of the arithmetic progression -5,-8,-11,-14,?
-77
31 :- Y varies inversely as x and y = 60 when x = 3, Find y when x = 4.5
40
32 :- Calculate correct to three significant figures the circumference of a circle of radius 0.042m
0.264
33 :- Evaluate 1- square root 3 / 1 + square root 3.
-2 + square root 3
34 :- From the graph above, estimate the median score.
23
35 :- From the diagram above , given that O is the centre of the PQRST, Find <RST
142.5 degree
36 :- In a class of 120 students, if 65 students take Mathematics while 75 take English Language. Find the
number of students that take both subjects.
20
37 :- Given that log 10 power 2 - 0.3010 and log 10 power 3 -0.4771. Calculate without tables log 10
square root 6 correct 3 significant figures.
0.389
38 :- If x varies over the set of real numbers. Which of the following is illustrated in the diagram above
-3<x<2
39 :-
40 :- if 230x - 1000001 base 2, find the value of x
1
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1 :- SUBSTRACT (14176)8 FROM (17635)8
(3437) base 8
2 :- find the sum of p and q.
(7,6 9,15 7,10)
3 :- find the range values of x satisfying the inequalities 3x-4<8 and 5+x>7
2 < or = x < or = 4
4 :- find the derivative of y=sin(3x^2-2x)
(6x - 2) |Cos (3x power 2 - 2x)
5 :- the pie chart above represents the grades of 250 students in an examination. How many students had excellent
59
6 :- the binary operation * is defined on the set of integers such that y*z=yz+y-z. find 3*(2*5)
71
7 :- factorize 3x^2-27
3(x+3) (x-3)
8 :- find the sum of the first 30 terms of the series 6,12,18?.96
2790
9 :- if it takes 45 women to do a piece of work in 5days, how many women are required to do the work in 3days at the same rate?
75
10 :- in the figure above 0 and 0. find the angle marked n
93 degree
11 :- find the value of n if (14)n + (26)n=(44)n
6
12 :- find the matrix
(1,0 5,1)
13 :- in how many ways can 6people be seated around circular table?
120
14 :- calculate the mean age of the girls to the nearest year
15 years
15 :- find the curved surface area of a cone with circular based diameter 8cm and height 3cm
20 pie cm power 2
16 :- evaluate lim
6
17 :- find the length of the cord to the nearest cm
40cm
18 :- bola has 6 different curtains to be hung in her bedroom,living room and kitchen. If one curtain must be hung in each room at a time. In how many ways can this be done
120
19 :- find x and y
(3, 14)
20 :- find the area enclosed by the curve y=x^2 and the line y=x+2
S 2 base -1 (x + 2 - x power 2 )dx
21 :- find the values of x and y respectively, if 2x + 5y = 1 and 3x -2y = 30
8, -3
22 :- the graph above is the solution of the inequalities
4x+3y < or = 12, y > or = 0, x > or = 0
23 :- find the range of the following set of marks: 78, 42, 60, 35, 58, 60.
43
24 :- if the interest on N120.00 for 1 1/2 years is N5.40, find the interest on N150.00 for 3 months at the same rate
N1.125
25 :- if log10 4 = 0.6021 and log10 6 = 0.7781, evaluate log10 2.4
0.3802
26 :- in a right anled triangle, if tita = 3/4. what is cos tita and sine tita
4/5, 3/5
27 :- if x varies directly as y and inversely as the square of z and x = 5 when y = 2 and z = 1, find z when x = 5 and y = 8
2
28 :- the nth term of a sequence is x2 - 8x + 3. find the sum of the 5th and the 6th terms.
-21
29 :- what is the value of x, if the distance between the points (5, 7) and 2, x) is 4 units?
7 + or - square root 7
30 :- the table above shows the ages of a group of girls. What is the median age of the girls?
16 years
31 :- Evaluate 15.03524 - 2.21624 x 0.55, to 2 decimal places.
13.82
32 :- Solve 4 power 2 x power -1 x 4x power -1 - 16
1/2
33 :- Find (XUY)'
{2,4,8,14,16}
34 :- Given v = pie (R power 2 - r power 2), make R the subject of the formula
Square root v / pie r + r power r
35 :- In a ground of 300 students, 20 offer physics. What is the probability that a student selected at random does not offer physics?
14/15
36 :- In the diagram above, O is the centre of the circle. RSTU. If o, find
70 degree
37 :- Find x in the diagram
7cm
38 :- In a survey of 40 fruits seller, 30 sell orange and 15 sell apple. How many sell both orange and apple?
5
39 :- Find x if log base x 32 - 5 