Jambmaths
Maths Question  

Question 1 
Evaluate ${{\log }_{\sqrt{2}}}4+{{\log }_{\tfrac{1}{2}}}16{{\log }_{4}}32$ 
Question 2 
Simplify ${{213}_{4}}\times {{23}_{4}}$ 
Question 3 
In a class of 40 students, 32 offers Mathematics, 24 offers physics and 4 offers neither Mathematics nor physics. How many offer both Mathematics and Physics? 
Question 4 
Find ${{\left( \frac{1}{0.06}\div \frac{1}{0.042} \right)}^{1}}$ 
Question 5 
A woman buys 270 oranges for N1800.00 and sell at 5 for N40.00. What is her profit? 
Question 6 
Simplify $1\left( 2\tfrac{1}{3}\times 1\tfrac{1}{4} \right)+\tfrac{3}{5}$ 
Question 7 
Simplify $\frac{\sqrt{98}\sqrt{50}}{\sqrt{32}}$ 
Question 8 
A cinema hall contains a certain number of people. If 22½% are children,47½ %are men and 84 are women, find the number of men in the hall 
Question 9 
If $\frac{{{9}^{2x1}}}{{{27}^{x+1}}}=1$Find the value of x 
Question 10 
The sum of four number is 1214_{5}. What is the average expression in base 5 
Question 11 
Given U ={Even number between 0 and 32 } P = {Multiples of 6 between 0 and 30} Q ={Multiples of 4 between 0 and 30} Find ${{(P\cup Q)}^{c}}$ 
Question 12 
x varies directly as the product of u and v and inversely as their sum. If x =3 when u = 3 and v =1. What is the value of x if u = 3 and v =3 
Question 13 
Find the range of value of x satisfying the inequalities $5+x\le 8$ and $13+x\ge 7$ 
Question 14 
$\left \begin{matrix} x & 2 \\ 4x & 1 \\\end{matrix} \right=\left \begin{matrix} 3 & 3x \\ 4 & 5 \\\end{matrix} \right$, find the value of x 
Question 15 
The graph of the function $y={{x}^{2}}+4$and the straight line PQ are drawn to solve the equation ${{x}^{2}}3x+2=0$. What is the equation PQ 
Question 16 
The length a person can jump is inversely proportional to his weight. If a 20kg person can jump 1.5m. Find the constant of proportionality 
Question 17 
Find the value of x and y respectively if $3x5y+5=0$and $4x7y+8=0$ 
Question 18 
Three consecutive term of a geometric progression are given as n – 2, n, n + 3. Find the common ratio 
Question 19 
Triangle OPQ above is the solution of the inequalities 
Question 20 
Factorize completely$4abx2axy12{{b}^{2}}x+6bxy$ 
Question 21 
A matrix P has an inverse ${{P}^{1}}=\left( \begin{matrix} 1 & 3 \\ 0 & 1 \\\end{matrix} \right)$find P 
Question 22 
The sum of the first term of an arithmetic progression is 252, if the first term is –16 and the last term is 72. Find the number of terms in the series. 
Question 23 
An arc of a circle subtends an angle of 30^{o}on the circumference of radius 21cm. Find the length of the arc. [take $\pi =\tfrac{22}{7}$] 
Question 24 
Find the equation of the locus of a point P(x, y), which is equidistant from Q (0, 0) and R (2, 1) 
Question 25 

Question 26 
A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm^{2}. Find the distance between the parallel sides. 
Question 27 
Which of the following is the graph of $\sin \theta $for $\frac{\pi }{2}\le \theta \le \frac{3\pi }{2}$ 
Question 28 
In the diagram above, O is the centre of the circle, POM is a diameter and $\angle MNQ={{42}^{\text{o}}}$. Calculate $\angle QMP$^{ } 
Question 29 
Find the value of P, if the line which passes through (– 1, –p) and (–2p, 2) is parallel to the line $2y+8x17=0$ 
Question 30 
An aeroplane flies due North from airport P to Q and then flies due east to R. If Q is equidistant from P and R, find the bearing of P from R 
Question 31 
The locus of a point P which moves on one only of a straight line XY so that $\angle XPY={{90}^{o}}$ is

Question 32 
If $\frac{\pi }{2}\le \theta \le 2\pi $, Find the maximum value of $f(\theta )=\frac{4}{6+2\cos \theta }$ 
Question 33 
XYZ is a circle centre O and radius 7cm.Find the area of the shaded portion. 
Question 34 
A triangle has vertices P( –1,6), Q(–3, –4) and R (1, –4). Find the midpoint PQ and QR respectively 
Question 35 
In the diagram above, PQR is a straight line and PS is a straight line and PS is a tangent to the circle QRS with $\left PS \right=\left SR \right$ and $\angle SPR={{40}^{o}}$.Find $\angle PSQ$ 
Question 36 
Find the slope of the curve $y=2{{x}^{2}}+5x3$at (1,4) 
Question 37 
Evaluate $\int_{2}^{3}{({{x}^{2}}2x)dx}$ 
Question 38 
If $y=3\sin (4x),\frac{dy}{dx}\text{ is }$ 
Question 39 
Determine the maximum value of $y=3{{x}^{2}}{{x}^{3}}$ 
Question 40 
By how much is the mean of 30, 56, 31, 55, 43, and 44 less than the median? 