Jambmaths
Maths Question | |
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Question 1 |
Which Question paper type of mathematics is indicated above is given to you |
Question 2 |
Convert 72_{6} to a number in base three |
Question 3 |
Simplify $\frac{2\tfrac{2}{3}\times 1\tfrac{1}{2}}{4\tfrac{4}{5}}$ |
Question 4 |
Evaluate $\tfrac{21}{9}$to 3 significant figures |
Question 5 |
A man earns N3,500 per month out of which he spends 15% on his children’s education. If he spend 15% on his additional N 1950 on food, how much does he have left? |
Question 6 |
If ${{27}^{x+2}}\div {{9}^{x+1}}={{3}^{2x}}$, find x |
Question 7 |
If ${{\log }_{3}}{{x}^{2}}=-8$, what is x, |
Question 8 |
Simplify ${{(\sqrt{6}+2)}^{2}}-{{(\sqrt{6}-2)}^{2}}$ |
Question 9 |
If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find $P\cap Q.$ |
Question 10 |
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither? |
Question 11 |
Make n the subject of the formula if $w=\frac{v(2+cn)}{1-cn}$ |
Question 12 |
Find the remainder when $2{{x}^{3}}-11x+8x-1$is divided by x + 3 |
Question 13 |
Solve for x and yin the equation below$\begin{align} & {{x}^{2}}-{{y}^{2}}=4 \\ & x+y=2 \\\end{align}$ |
Question 14 |
If y varies directly as $\sqrt{n}$and y =4 when n =4, find y when $n=1\tfrac{7}{9}$ |
Question 15 |
U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V=3 |
Question 16 |
The value of y for which $\frac{1}{5}y+\frac{1}{5}<\frac{1}{2}y+\frac{2}{5}$is |
Question 17 |
Find the range of values of m which satisfy $(m-3)(m-4)<0$ |
Question 18 |
The shaded region above is represented by the equation. |
Question 19 |
The nth term of a sequence ${{n}^{2}}-6n-4$. Find the sum of the 3^{rd} and 4^{th} terms. |
Question 20 |
The sum to infinity of a geometric progression is $-\tfrac{1}{10}$and the first term is $-\tfrac{1}{8}$.Find the common ratio of the progression. |
Question 21 |
The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$ |
Question 22 |
The binary operation * is defined on the set of real numbers is defined by $m*n=\frac{mn}{2}$for all$m,n\in \mathbb{R}$. If the identity element is 2. Find the inverse of –5 . |
Question 23 |
if $\left| \begin{matrix} 5 & 3 \\ x & 2 \\\end{matrix} \right|=\left| \begin{matrix} 3 & 5 \\ 4 & 5 \\\end{matrix} \right|$, find the value of x |
Question 24 |
Given that I_{3} is a unit matrix of order 3 find $\left| {{I}_{3}} \right|$ |
Question 25 |
In the diagram above OR$\parallel $TU, $\angle PQR={{80}^{\circ }}$,and $\angle PSU={{95}^{\circ }}$Calculate $\angle SUT$ |
Question 26 |
The angles of a polygon are given by x, 2x, 3x, 4x, and 5x respectively. Find the value of x |
Question 27 |
In the diagram above, PQR is a circle O. If $\angle \mathbf{QRP}$is x^{o}, Find $\angle \mathbf{QRP}$ |
Question 28 |
Find the area of the trapezium above |
Question 29 |
A circular arc subtends angles 150^{o} at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc. |
Question 30 |
Calculate the volume of cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm |
Question 31 |
The locus of a point equidistant from the intersection of lines $3x-7y+7=0$and $4x-6y+1=0$ is a |
Question 32 |
The gradient of the straight line joining the point P(5, –7) and Q(–2, –3) is |
Question 33 |
The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x |
Question 34 |
Find the equation of the line through the points (–2, 1) and (–½, 4) |
Question 35 |
If angle θ is 135^{o}, evaluate cos θ |
Question 36 |
A man stands on a tree 150cm high and see a boat at an angle of depression of 74^{o}, Find the distance of the boat from the base of the tree. |
Question 37 |
If $y={{x}^{2}}-\tfrac{1}{x},$find $\tfrac{dy}{dx}$ |
Question 38 |
Find $\frac{dy}{dx}$if y = cos x |
Question 39 |
Evaluate $\int_{1}^{2}{({{x}^{2}}-4x)dx}$ |
Question 40 |
Evaluate $\int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }$ |