JAMB Mathematics 2004
Q5201.
From the top of a vertical mast 150m high, two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are $60^{\circ}$ and $45^{\circ}$ respectively. Find the distance between the huts.
A
$150(1 + \sqrt{3})\text{m}$
B
$50(\sqrt{3} + 3)\text{m}$
C
$150\text{m}$
D
$50\sqrt{3}\text{m}$
A
Q5202.
If $y = 243(4x + 5)^{-2}$ find $\frac{dy}{dx}$ when $x = 1$
A
$-\frac{8}{3}$
B
$\frac{3}{8}$
C
$\frac{9}{8}$
D
$-\frac{8}{9}$
A
Q5203.
Differentiate $\frac{x}{\cos x}$ with respect to x
A
$1 + x \sec x \tan x$
B
$1 + \sec^2 x$
C
$\cos x + x \tan x$
D
$\sec x + x \sec x \tan x$
D
Q5204.
Evaluate $\int (\sec^2 x - \tan^2 x) dx$
A
$2$
B
$-2$
C
$3$
D
$x + 2$
D
Q5205.
Find the equation of the curve which passes through the point (2, 5) and whose gradient at any point is given by $6x - 5$
A
$6x^2 - 5x + 5$
B
$6x^2 + 5x + 5$
C
$3x^2 - 5x - 5$
D
$3x^2 - 5x + 3$
D
Q5206.
If m and n are the mean and median respectively of the set of numbers $2,3,9,7,6,7,8,5$ and $m + 2n$ to the nearest whole number.
A
$19$
B
$18$
C
$13$
D
$12$
A
Q5207.
Estimate the mode of the above frequency distribution.
A
$12.2$
B
$12.7$
C
$12.9$
D
$13.4$
B
Q5208.
Find the variance of the numbers $K, K+1, K+2$
A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
$\frac{2}{3}$
D
$\frac{1}{3}$
A
Q5209.
Find the positive value of x if the standard deviation of the numbers $1, x+1, 2x+1$ is $\sqrt{6}$
C
Q5210.
A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to $\frac{2}{5}$?
A
$4$
B
$20$
C
$24$
D
$40$
A
Q5211.
The pie chart above shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is $\#7,200$?
A
$\#1000$
B
$\#2000$
C
$\#3000$
D
$\#4000$
B
Q5212.
The bar chart above shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. if the pass mark was 5, what percentage of the pupils failed the test?
A
$59.4\%$
B
$50.0\%$
C
$41.7\%$
D
$25.0\%$
A
Q5213.
In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities $\frac{2}{5}$ and $\frac{1}{3}$ respectively of winning the gold in the football event. What is the probability that either team will win the gold?
A
$\frac{2}{15}$
B
$\frac{7}{15}$
C
$\frac{11}{15}$
D
$\frac{13}{15}$
C
Q5214.
If x, y can take values from the set $\{1,2,3,4\}$, find the probability that the product of x and y is not greater than 6.
A
$\frac{5}{8}$
B
$\frac{5}{16}$
C
$\frac{1}{2}$
D
$\frac{3}{8}$
A
JAMB Mathematics 2013
Q5215.
Which Mathematics Question Paper Type is given to you?
A
Type D
B
Type I
C
Type B
D
Type U
D
Q5216.
Convert $27_{10}$ to another number in base three
A
1100
B
1000
C
1001
D
1010
B
Q5217.
3 girls share a number of apples in the ratio 5:3:2. If the highest share is 40 apples, find the smallest share
A
Q5218.
Evaluate $\frac{1.25 \times 0.025}{0.05}$, correct to 1 decimal place
C
Q5219.
Calculate the time taken for $N3000$ to earn $N600$ if invested at $8\%$ simple interest
A
$\frac{3}{2}$ years
B
$\frac{1}{2}$ years
C
$2\frac{1}{2}$ years
D
3 years
C
Q5220.
Simplify $3 - 5n^{91-n} \times 27^{n+1}$
A
Q5221.
If $\log_{10} 4 = 0.6021$, evaluate $\log_{10} \frac{1}{4}$
A
1.8063
B
0.2007
C
0.3011
D
0.9021
B
Q5222.
Simplify $\frac{\sqrt{5}(\sqrt{147} - \sqrt{12})}{\sqrt{15}}$
A
$\frac{1}{9}$
B
9
C
5
D
$\frac{1}{5}$
C
Q5223.
P, Q and R are subsets of the universal set U. The Venn diagram showing the relationship (P∩Q)∪R is
A
Diagram A
B
Diagram B
C
Diagram C
D
Diagram D
C
Q5224.
if $P = \{x: x$ is odd, $-1 < x \leq 20\}$ and $Q$ is $\{y: y$ is prime, $-2 < y \leq 25\}$, find $P \cap Q$
A
$\{3, 5, 7, 11, 13, 17, 19\}$
B
$\{2, 3, 5, 7, 11, 13, 17, 19\}$
C
$\{3, 5, 7, 11, 17, 19\}$
D
$\{3, 5, 11, 13, 17, 19\}$
A
Q5225.
If $S = \sqrt{t^2 - 4t + 4}$ find t in terms of S
A
$S - 2$
B
$S^2 + 2$
C
$S^2 - 2$
D
$S + 2$
D
Q5226.
If $x - 4$ is a factor of $x^2 - x - k$, then k is
D
Q5227.
The remainder when $6p^3 - p^2 - 47p + 30$ is divided by $p - 3$ is
D
Q5228.
P varies jointly as m and u, and varies inversely as q. Given that $p = 4$, $m = 3$ and $u = 2$ and $q = 1$, find the value of $p$ when $m = 6$, $u = 4$ and $q = \frac{8}{5}$
A
10
B
$\frac{288}{5}$
C
$\frac{128}{5}$
D
15
A
Q5229.
If r varies inversely as the square root of s and t, how does s vary with r and t?
A
s varies directly as r² and t²
B
s varies directly as r and t
C
s varies inversely as r and t²
D
s varies inversely as r² and t
A
Q5230.
Evaluate $3(x + 2) > 6(x + 3)$
A
$x < -4$
B
$x > 4$
C
$x < 4$
D
$x > -4$
A
Q5231.
The graph above is correctly represented by
A
$y = x^2 - x - 1$
B
$y = x^2 + x - 2$
C
$y = x^2 - x - 2$
D
$y = x^2 - 3x + 2$
B
Q5232.
Solve for $x: |x - 2| < 3$
A
$-1 < x < 5$
B
$x < 1$
C
$x < 5$
D
$-1 < x < 3$
A
Q5233.
If the sum of the first two terms of a G.P. is 3, and the sum of the second and the third terms is -6, find the sum of the first term and the common ratio
D
Q5234.
The nth term of the progression $\frac{4}{2}, \frac{7}{3}, \frac{10}{4}, \frac{13}{5}, \ldots$ is
A
$\frac{3n+1}{n+1}$
B
$\frac{3n-1}{n+1}$
C
$\frac{3n+1}{n-1}$
D
$\frac{3n-1}{n-1}$
A
Q5235.
If a binary operation $*$ is defined by $x y = x + 2y$, find $2 (3 * 4)$
C
Q5236.
If $P = \begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}$ and $Q = \begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}$ find $2P + Q$
A
$\begin{pmatrix} 7 & 7 \\ 8 & 14 \end{pmatrix}$
B
$\begin{pmatrix} 8 & 14 \\ 7 & 7 \end{pmatrix}$
C
$\begin{pmatrix} 7 & 7 \\ 14 & 8 \end{pmatrix}$
D
$\begin{pmatrix} 14 & 8 \\ 7 & 7 \end{pmatrix}$
D
Q5237.
Find the inverse $\begin{pmatrix} 5 & 3 \\ 6 & 4 \end{pmatrix}$
A
$\begin{pmatrix} 2 & \frac{3}{2} \\ -3 & -\frac{5}{2} \end{pmatrix}$
B
$\begin{pmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{pmatrix}$
C
$\begin{pmatrix} 2 & -\frac{3}{2} \\ -3 & -\frac{5}{2} \end{pmatrix}$
D
$\begin{pmatrix} 2 & -\frac{3}{2} \\ -3 & \frac{5}{2} \end{pmatrix}$
C
Q5238.
In the diagram above, find the value of x.
A
$45^{\circ}$
B
$15^{\circ}$
C
$30^{\circ}$
D
$40^{\circ}$
D
Q5239.
The value of $x$ in the figure above is
A
$40^{\circ}$
B
$50^{\circ}$
C
$60^{\circ}$
D
$70^{\circ}$
B
Q5240.
If the angles of a quadrilateral are $(3y + 10)^{\circ}$, $(2y + 30)^{\circ}$, $(y + 20)^{\circ}$ and $4y^{\circ}$, find the value of $y$.
A
$66^{\circ}$
B
$12^{\circ}$
C
$30^{\circ}$
D
$42^{\circ}$
C
Q5241.
A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?
B
Q5242.
Find the length of a chord which subtends an angle of $90^{\circ}$ at the centre of a circle whose radius is 8cm.
A
$8\sqrt{3}\text{ cm}$
B
4 cm
C
8 cm
D
$8\sqrt{2}\text{ cm}$
D
Q5243.
A chord of a circle subtends an angle of $120^{\circ}$ at the centre of a circle of diameter $4\sqrt{3}$ cm. Calculate the area of the major sector
A
$32\pi\text{ cm}^2$
B
$4\pi\text{ cm}^2$
C
$8\pi\text{ cm}^2$
D
$16\pi\text{ cm}^2$
C
Q5244.
The locus of the points which is equidistant from the line PQ forms a
A
perpendicular line to PQ
B
circle centre P
C
circle centre Q
D
pair of parallel lines to PQ
D
Q5245.
If the mid-point of the line PQ is (2,3) and the point P is (-2,1), find the coordinate of the point Q.
A
(6, 5)
B
(4, 4)
C
(6, 4)
D
(5, 6)
A
Q5246.
Find the equation of the perpendicular bisector of the line joining P(2, 3) to Q(-5, 1)
A
$8y + 14x + 13 = 0$
B
$8y - 14x + 13 = 0$
C
$8y - 14x - 13 = 0$
D
$8y + 14x - 13 = 0$
D
Q5247.
In triangle PQR, $q = 8\text{cm}$, $r = 6\text{cm}$ and $\cos P = \frac{1}{12}$
A
$\sqrt{108}\text{ cm}$
B
$\sqrt{9}\text{ cm}$
C
$\sqrt{92}\text{ cm}$
D
10 cm
C
Q5248.
If $\tan \theta = \frac{3}{4}$, find the value of $\sin \theta + \cos \theta$
A
$\frac{1}{3}$
B
$\frac{1}{2}$
C
$\frac{1}{5}$
D
$1\frac{2}{5}$
D
Q5249.
If $y = (2x + 2)^3$, find $\frac{dy}{dx}$
A
$3(2x + 2)$
B
$6(2x + 2)^2$
C
$3(2x + 2)^2$
D
$6(2x + 2)$
B
Q5250.
if $y = x\sin x$, find $\frac{dy}{dx}$
A
$\cos x + x\sin x$
B
$\sin x + x\cos x$
C
$\sin x - \cos x$
D
$\cos x - x\sin x$
B