Jambmaths
Maths Question | |
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Question 1 |
P344_{6} – 23P2_{6} = 2PP2_{6}. Find the value of digit P |
Question 2 |
If 314_{10} – 256_{7} = 340_{x}, find x |
Question 3 |
Evaluate $\frac{2.813\times {{10}^{-3}}\times 1.063}{5.637\times {{10}^{-2}}}$reducing each number to two significant figures and leaving your answer in two significant figures |
Question 4 |
Audu bought an article for N50.00 and sold it to femi at a loss of x%. Femi later sold the article to Oche at a profit if 40%. If Femi made a profit of N10,000, find the value of x |
Question 5 |
If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what will be the population of the town in January 2000 |
Question 6 |
Simplify $\frac{3({{2}^{n+1}})-4({{2}^{n-1}})}{{{2}^{n+1}}-{{2}^{n}}}$ |
Question 7 |
if $\frac{2\sqrt{3}-2}{\sqrt{3}+2\sqrt{2}}=m+n\sqrt{6}$. If the value of m and n respectively |
Question 8 |
Evaluate ${{5}^{-3{{\log }_{5}}2}}\times {{2}^{2{{\log }_{2}}3}}$ |
Question 9 |
A man wishes to keep some money in a saving deposit at 25% compound interest, so that after 3 years he can buy a car for N150,000. How much does he need to deposit now? |
Question 10 |
Let P ={1, 2, u, v, w, x} Q = {2,3, v,w, 5, 6, y} and R = {2,3, 4, v, x, y}. Determine (P – Q)∩R |
Question 11 |
In a youth club with 94 members, 60 like modern music and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music? |
Question 12 |
if (x – 1), (x + 1) and (x – 2) are factors of the polynomial $a{{x}^{3}}+b{{x}^{2}}+cx-1$. Find a b c respectively |
Question 13 |
If $\alpha \text{ and }\beta $are roots of the equation $3{{x}^{2}}+5x-2=0$. Find the value of $\tfrac{1}{\alpha }+\tfrac{1}{\beta }$.(A) $-\tfrac{5}{2}$ (B) $-\tfrac{3}{2}$ (C) $\tfrac{1}{2}$ (D)$\tfrac{5}{2}$ |
Question 14 |
A trader realizes 10 – x^{2} naira profit from the sales of x bags of corns. How many bags will give him maximum profit. |
Question 15 |
The solution of the simultaneous inequality $2x-2\le y$ and $2y-x\le x$ represented by |
Question 16 |
Solve the inequality 2 –x > x^{2} |
Question 17 |
The 3^{rd} term of an A.P is 4x – 2y and the 9^{th} is 10x – 8y. Find the common difference. |
Question 18 |
Evaluate $\tfrac{1}{2}-\tfrac{1}{4}+\tfrac{1}{8}-\tfrac{1}{16}+---$ |
Question 19 |
Find the inverse of P under the binary operation defined by $p*q=p+q-pq$where p and q are real numbers and zero is the identity |
Question 20 |
A binary operation * is defined by a* b =a^{b}, If a * 2 =2 – a. Find the possible value of a |
Question 21 |
A matrix $P=\left( \begin{matrix} a & b \\ c & d \\\end{matrix} \right)$is such that P^{T} = -P. P^{T} is the transpose of P. If b = 1, then P is |
Question 22 |
Find the value of t for which the determinant of the matrix$\left( \begin{matrix} t-4 & 0 & 0 \\ -1 & t+1 & 1 \\ 3 & 4 & t-2 \\\end{matrix} \right)$is zero |
Question 23 |
In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon. |
Question 24 |
In the diagram above, $\angle RPS={{50}^{o}}$, $\angle RPQ={{30}^{o}}$and PQ = QR . Find the value of $\angle PRS$ |
Question 25 |
An equilateral triangle of sides $\sqrt{3}$is inscribed in a circle. Find the radius of the circle. |
Question 26 |
In the diagram above , EFGH is a circle, centre O, FH is a diameter and GE is a chord, which meets FH at right angle at point N. If NH is 8cm and EG= 24cm. Calculate FH |
Question 27 |
A frustum of pyramid with square base has its upper and lower section as squares of sizes 2m and 5m respectively and the distance between them 6m. Find the height of the pyramid from which the frustum was obtained. |
Question 28 |
If P and Q are fixed and X is a point which moves so that XP = XQ. The locus of X is |
Question 29 |
P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight ST is on the locus of P and $\angle VUS={{50}^{o}}$ find $\angle UST$ |
Question 30 |
A predator moves in a circle of radius $\sqrt{2}$centre (0,0), while a prey moves along y = x. If $0\le x\le 2$, at which point will they meet |
Question 31 |
$3y=4x-1$and $ky=x+3$are equation of two straight lines. If the two lines are perpendicular to each other, find k |
Question 32 |
Find the minimum value of the function $f(\theta )=\frac{2}{3-\cos \theta }\text{ for }0\le \theta \le 2\pi $ |
Question 33 |
A ship sails a distance of 50km in the direction S50^{o}E and then sails a distance of 50km N40^{o}E. Find the bearing of the ship from its original position. |
Question 34 |
If $y=2x\cos 2x-\sin 2x$, find $\frac{dy}{dx}$when $x=\tfrac{\pi }{4}$ |
Question 35 |
The expression of $a{{x}^{2}}+bx+c$equals 5 at x =1. If its derivative is 2x + 1, what are the value of a, b, respectively. |
Question 36 |
If the volume of hemisphere is increasing at a steady rate of 18πm^{3}s^{–1} . At what rate is its radius changing when it is 6m |
Question 37 |
Find the value of $\int_{0}^{\pi }{\frac{{{\cos }^{2}}\theta -1}{{{\sin }^{2}}\theta }d\theta }$ |
Question 38 |
The function f (x) passes through the origin and its first derivative is 3x + 2. What is f(x)? |
Question 39 |
A bowl is designed by resolving completely the area enclosed by y = x^{2} – 1, y = 0, y = 3 and x ≥ 0 around the y –axis. What is the volume of this bowl? |
Question 40 |
If the diagram above is the graph of y = x^{2}, the shaded area is |