JAMB - Mathematics (2016)

1
Integrate \(\frac{2x^3 + 2x}{x}\) with respect to x
Answer
(C)
\(\frac{2x^3}{3}\) + 2x + k
2
If the mean of 4, y, 8 and 10 is 7. Find Y?
Answer
(A)
6
3
Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
Answer
(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?
Answer
(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.
Answer
(B)
\(\frac{3}{2}\)
6
From the diagram above, find the value of < OTQ
Answer
(D)
65o
7
The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.
Answer
(D)
8
8
In the diagram above, l1 is parallel to l2, Find the value of < PMT
Answer
(A)
82o
9
From the diagram above, Find the value of < ROP
Answer
(C)
95o
10

The venn diagram shows a class of 50 students with the games they play. How many students play only two games?

Answer
(A)
15
11
If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.
Answer
(D)
5
12
Evaluate \(\int\)(cos4x + sin3x)dx
Answer
(C)
\(\frac{1}{4}\)sin4x - \(\frac{1}{3}\)cos3x + k
13
If x10 = 235. Find x
Answer
(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?
Answer
(C)
32o
15
Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.
Answer
(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?
Answer
(D)
16
17
Factorize k2 - 2kp + p2.
Answer
(B)
(k - p)2
18
Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o.
Answer
(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.
Answer
(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.
Answer
(C)
{1, 3, 5, 7, 9, 11, 13}
21
Simplify \(\frac{0.026 \times 0.36}{0.69}\). Leave your answer in standard form
Answer
(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?
Answer
(B)
25
23
Calculate the perimeter of a sector of a circle of raduis 9cm and angle 36o.
Answer
(B)
(18 + \(\frac{9\pi}{5}\))cm
24
Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
Answer
(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
Answer
(A)
3
26
Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)
Answer
(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.
Answer
(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.
Answer
(B)
2\(\pi\)cm
29
Evaluate \(\int\limits_0^\frac{\pi}{2}\) sin xdx
Answer
(C)
1
30
An arc of the length 16\(\pi\)cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle.
Answer
(C)
36cm
31
The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is
Answer
(A)
2
32
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
Answer
(B)
0.154
33
If y = 2x3 + 6x2 + 6x + 1, Find \(\frac{dy}{dx}\)
Answer
(D)
6x2 + 12x + 6
34
The nth term of the sequence 3, 9, 27, 81.....is
Answer
(B)
3 x 3n-1
35
Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
Answer
(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?
Answer
(C)
225 litres
37
Find \(\frac{dy}{dx}\). If y = 3x3 + 2x2 + 3x + 1
Answer
(A)
9x2 + 4x + 3
38
Evaluate \(\int\)(sinx - 5x2)dx
Answer
(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.
Answer
(D)
216
40
Solve for x and y respectively
3x - 5y = 9
6x - 4y = 12
Answer
(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?
Answer
(A)
(2,3)
42

From the cyclic quadrilateral above, find < TSV

Answer
(B)
80o
43
Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23.
Answer
(C)
10.2
44

In the cyclic quadrilateral above . Find < PRO

Answer
(B)
20o
45
OGIVE is constructed using
Answer
(C)
Cummulative frequency table