Jambmaths
Maths Question  

Question 1 
Evaluate 21.05347 – 1.6324 × 0.43 to 3 decimal places 

Question 2 
Simplify ${{\left( \sqrt[3]{64{{a}^{3}}} \right)}^{1}}$ 

Question 3 
Given that $p=1+\sqrt{2}\text{ and }q=1\sqrt{2}$ evaluate $\frac{{{p}^{2}}{{q}^{2}}}{2pq}$ 

Question 4 
A car dealer bought a second – hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain? 

Question 5 
if $\tfrac{y}{2}=x$, evaluate $\left( \tfrac{{{x}^{3}}}{{{y}^{3}}}+\tfrac{1}{2} \right)\times \left( \tfrac{1}{2}\tfrac{{{x}^{2}}}{{{y}^{2}}} \right)$ 

Question 6 
Find the principal which amount to N5,500 at simple interest in 5 years at 2% per annum. 

Question 7 
Evaluate $\frac{{{(0.14)}^{2}}\times (0.275)}{7(0.02)}$ correct to 3 decimal places. 

Question 8 
Divide a^{3x} – 26a^{2x }+ 156a^{x} – 216 by a^{2x} – 24a^{x }+ 108 

Question 9 
Triangle SPT is the solution of the linear inequalities 

Question 10 
The identity element with respect to the multiplication shown in the table above is 

Question 11 
A man saves N100.00 in his first year, saves N20.00 more than in the preceding year. In how many years will he save N5,800.00 

Question 12 
If $P=\left( \begin{matrix} 3 & 2 & 4 \\ 5 & 0 & 6 \\ 7 & 5 & 1 \\\end{matrix} \right)$ then –2p is 

Question 13 
Given the matrix $k=\left( \begin{matrix} 2 & 1 \\ 3 & 4 \\\end{matrix} \right)$ the matrix k^{2} +k +1 is , where I is the 2× 2 identity matrix 

Question 14 
if two graph $y=p{{x}^{2}}+q$ and $y=2{{x}^{2}}1$intersect at x = 2. Find the value of p in terms of q 

Question 15 
Find the integral values of x and y satisfying the inequality 3y + 5x ≤ 15 given y > 0, y < 3, and x >0 

Question 16 
Evaluate $\left \begin{matrix} 1 & 1 & 1 \\ 3 & 1 & 1 \\ 1 & 2 & 1 \\\end{matrix} \right$ 

Question 17 
Solve the equation ${{m}^{2}}+{{n}^{2}}=29,\text{ }m+n=7$ 

Question 18 
An operation *is defined on the set of real numbers by a * b = a + b + 1. If the identity element is –1 . Find the inverse of the element 2 under the operation 

Question 19 
The sixth term of arithmetic progression is half of its twelfth term. The first term is equal to 

Question 20 
Factorize $4{{x}^{2}}9{{y}^{2}}+20x+25$ 

Question 21 
A sector of circle of radius 7.2cm which subtends an angle of 300^{o}at the centre is used to form a cone. What is the radius of the base of the cone? 

Question 22 
A point P moves such that it is equidistance from Q and R. Find QR when PR =8cm and $\angle PRQ={{30}^{o}}$ 

Question 23 
Find the value of θ in the diagram above 

Question 24 
A straight line makes an angle of 30^{o} with the positive x – axis and cut the y – axis at y =5. Find the equation of the straight line 

Question 25 
Find the value of p if the line joining (p, 4) and (6, –2) is perpendicular to the line joining (2, p) and (–1, – 3) 

Question 26 
Find the number of sides a regular polygon whose interior angle is twice the exterior angle 

Question 27 
P(–6,1) and Q(6,6) are two ends of the diameter of a circle the radius.


Question 28 
The bearing of P and Q from a common point N are 020^{o} and 300^{o} respectively. If P and Q are also equidistance from N, find the bearing of P from Q 

Question 29 
A cylindrical tank has a capacity of 3080m^{2}. What is the depth of the tank, if the diameter of its base is 14m? 

Question 30 
Find the locus of a point which moves such that its distance from the line y = 4 is a constant 

Question 31 
The chord ST of a chord ST of a circle is equal to the radius r of the circle. Find the length of the arc ST. 

Question 32 
In the figure above, PQR is a straight line segment, PQ = QT . Triangle PQT is an isosceles triangle. $\angle QPT$is 25^{o} . Calculate the value of $\angle RST$ 

Question 33 
If the gradient of the curve $y=2k{{x}^{2}}+x+1$ at x = 1 is 9. Find k 

Question 34 
Evaluate $\int{2{{(2x3)}^{\tfrac{2}{3}}}dx}$ 

Question 35 
Differentiate (2x + 5)^{2} (x – 4) with respect to x 

Question 36 
Find the area bounded by the curve $y=4{{x}^{2}}$and $y=2x+1$ 

Question 37 
Find the rate of change of the V of a sphere with respect to its radius r when r =1 

Question 38 
If $y=x\sin x$ find $\frac{dy}{dx}$ when $x=\tfrac{\pi }{2}$ 

Question 39 
Find the dimension of the rectangle of greatest areas which has a fixed perimeter p. 

Question 40 
Find the square of the mode 