Jambmaths

Maths Question

Question 1

Make q the subject of the formula in the equation $\frac{mn}{{{a}^{2}}}-\frac{pq}{{{b}^{2}}}=1$

Question 2

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

Question 3

A binary operation$\otimes $ is defined by $m\otimes n=mn+m-n$on the set of real numbers, for all m, n $\in $ R. Find the value of $3\otimes (2\otimes 4)$

Question 4

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

Question 5

In a class of 50 students, every students must offer at least one subject. 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

Question 6

Rationalize $\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}-\sqrt{3}}$

Question 7

Find the length of the chord |AB| in the diagram

Question 8

Given $\sin 58{}^\circ =\cos p{}^\circ $ find p

Question 9

$\frac{\tfrac{2}{3}\div \tfrac{4}{5}}{\tfrac{1}{4}+\tfrac{3}{5}-\tfrac{1}{3}}$

Question 10

10. If $6{{x}^{3}}+2{{x}^{2}}-5x+1$ divides ${{x}^{2}}-x-1$ ,find the remainder

Question 12

In how many ways can the word MATHEMATICIAN be arranged

Question 13

Given the matrix $M=\left( \begin{matrix} -2 & 0 & 4 \\ 0 & 1 & -6 \\ 5 & 6 & 3 \\\end{matrix} \right),$ find ${{M}^{T}}+2M$

Question 14

Score (x)	0	1	2	3	4	5	6
Fre(f)	5	7	3	7	11	6	7

Find the mean of the data

Question 15

Use the table below to answer question 14 and 15

Score (x)	0	1	2	3	4	5	6
Fre(f)	5	7	3	7	11	6	7

Find the variance

Question 16

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

Question 17

From the cyclic quadrilateral MNOP above, find the value of x

Question 18

If $4{{\sin }^{2}}x-3=0$ find the value of x when $0{}^\circ \le x\le 90{}^\circ $

Question 19

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

Question 20

The marks scored by 30 students in a Mathematics test are recorded in the table below:

Scores (Mark)	0	1	2	3	4	5
No of students	4	3	7	8	6	2

What is the total number of marks scored by the children?

Question 21

If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line.

Question 22

If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.

Question 23

If $\left| \begin{matrix} 2 & -4 \\ x & 9 \\\end{matrix} \right|=58$ , find the value of x

Question 24

if $y=6{{x}^{3}}+2{{x}^{-2}}-{{x}^{-3}}$ find $\frac{dy}{dx}$

Question 25

$\frac{d}{dx}\left[ \log (4{{x}^{3}}-2x) \right]$ is equal to

Question 26

If $f(x)=3{{x}^{3}}+4{{x}^{2}}+x-8$ what is the value of f(-2)?

Question 27

Solve for x in $\frac{4x-6}{3}\le \frac{3+2x}{2}$

Question 28

Solve the inequality: $-7\le 9-8x<17-x$

Question 29

The n^th term of a sequence is given by ${{2}^{2n-1}}$ . Find the sum of the first four terms.

Question 30

Integrate $\int_{-1}^{2}{(2{{x}^{2}}+x)dx}$

Question 31

If p varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.

Question 32

Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.

Question 33

The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

Question 34

Simplify ${{81}^{\tfrac{-3}{4}}}\times {{25}^{\tfrac{1}{2}}}\times {{243}^{\tfrac{2}{5}}}$

Question 35

Find the value of $\frac{{{(0.5436)}^{3}}}{0.017\times 0.219}$ to 3 significant

Question 36

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

Question 37

The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

Question 38

The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?

Question 39

Evaluate ${{\left( \frac{6}{0.32}\div \frac{2}{0.084} \right)}^{-1}}$ correct to 1 decimal place

Question 40

If ${{2}^{x+y}}=16$ and ${{4}^{x-y}}=\frac{1}{32}$ , find the values of x and y

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