Jambmaths
Maths Question  

Question 1 
The gradient of a curve is 2x + 7 and the curve passes through point (2,0). Find the equation of the curve 

Question 2 
Evaluate $\int_{4}^{0}{(12x)dx}$ 

Question 3 
Differentiate ${{\left( {{x}^{2}}\tfrac{1}{x} \right)}^{2}}$ with respect to x 

Question 4 
Find the value of x for which the function $3{{x}^{3}}9{{x}^{2}}$ is minimum 

Question 5 
If $\frac{dy}{dx}=x+\cos x$ find y 

Question 6 
Differentiate ${{(\cos \theta \sin \theta )}^{2}}$ with respect to θ 

Question 7 
What is the locus of points equidistant from the ax + by + c = 0 

Question 8 
In the diagram POQ is a diameter of the circle. PQRS. If $\angle PSR={{145}^{o}}$. Find x^{o}^{ }


Question 9 
If $\tan \theta =\tfrac{5}{4}$, find ${{\sin }^{2}}\theta {{\cos }^{2}}\theta$ 

Question 10 
In the diagram above $\left OR \right$ is the diameter of the semicircle OR. Find the area of the figure of the shape to the nearest whole number 

Question 11 
PQRSTW is a regular hexagon and OS intersect RT at V. Calculate $\angle TVS$ 

Question 12 
If the locus of the points which are equidistant from P and Q meets line PQ at point N, then PN equals 

Question 13 
In the diagram above, PQ = 10cm, PS = 8cm and $\angle PSR$ is 60^{o}. While SRQ is a right angle. Find SR 

Question 14 
PQ and RS are two parallel lines. If the coordinate P, Q, R, S are (1,q), (3,2), (3,4),(5,2q) respectively . Find the value of q 

Question 15 
In the diagram above, find the value of x 

Question 16 
In triangle XYZ $\angle XYZ={{15}^{o}},\angle XZY={{45}^{o}}$and $\left XY \right=7cm$.Find $\left YZ \right$ 

Question 17 
The table above shows the score of a group of students in a physics test. If the mode is m and the number of students who scored 4 or more is n. What is (n, m)? 

Question 18 
For what value of n is ^{n }^{+ 1}C_{3} = 4(^{n}C_{3})? 

Question 19 
The response of 160 pupils in a school asked to indicate their favorite subjects is given in the bar chart above. What percentage of the pupils has English and Health Education as their favorite subjects? 

Question 20 
A bag contains 5 blacks, 4 white and x red marble. If the probability of picking a red marble is $\tfrac{2}{5}$, find the value of x 

Question 21 
The table above shows major GSM operator. What is the probability that a recharge selected at random will be GTN or Qtel 

Question 22 
The pie chart above show the expenditure of a family whose income sN30,000, if the expenditure on food is twice that on housing and that school fee is twice that on transport, how much the family spends on food? 

Question 23 
Find the variance 2x, 2x – 1 and 2x + 1 

Question 24 
If the mean of five consecutive numbers integer is 30. Find the largest of the number 

Question 25 
A final requires that a student answer 4 out 6 questions. In how many ways can this be done? 

Question 26 
The cost of renovating a 6msquare is N540. What is the cost of renovating a 9m square room 

Question 27 
How many terms of the series 3 – 6 + 12 – 24 +    are needed to make a total 1 – 2^{8} 

Question 28 
The solution set of the shaded area is 

Question 29 
Find the expression $k{{x}^{3}}+{{x}^{2}}5x2$ leaves a remainder 2 when it is divided by 2x + 1 

Question 30 
Solve the inequality for which $\frac{x+4}{3}\frac{x3}{2}<4$ 

Question 31 
If $x=\left[ \begin{matrix} 1 & 0 & 1 \\ 2 & 1 & 0 \\ 1 & 0 & 1 \\\end{matrix} \right]$ and $y=\left[ \begin{matrix} 1 & 1 & 2 \\ 0 & 1 & 1 \\ 2 & 1 & 1 \\\end{matrix} \right]$find 2x – y 

Question 32 
Find the roots of ${{x}^{3}}2{{x}^{2}}5x+6=0$ 

Question 33 
If $y={{x}^{2}}x12,$find the range of x for which y ≥ 0 

Question 34 
A binary operation * on the set of rational number is defined as $x*y=\frac{{{x}^{2}}{{y}^{2}}}{2xy}$ find –5*3 

Question 35 
If $T=2\pi \sqrt{\frac{l}{g}}$make g the subject of formula 

Question 36 
The sum of first n positive is 

Question 37 
Find p, q for which$\left( \begin{matrix} 2p & 8 \\ 3 & 5q \\\end{matrix} \right)\left( \begin{align} & 1 \\ & 2 \\\end{align} \right)=\left( \begin{align} & 24 \\ & 17 \\\end{align} \right)$ 

Question 38 
If p varies inversely as cube of q and q varies directly as square of r. What is the relationship between p and r 

Question 39 
The binary operation defined on the set of real number is such that $x\oplus y=\frac{xy}{6}$for all $x,y\in \mathbb{R}$. Find the inverse of 20 under the operation when the identity element is 6 

Question 40 
If $m:n=13:11$find $({{m}^{2}}{{n}^{2}}):{{(m+n)}^{2}}$ 