Jambmaths
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| Question 1 |
The gradient of a curve is 2x + 7 and the curve passes through point (2,0). Find the equation of the curve |
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| Question 2 |
Evaluate $\int_{-4}^{0}{(1-2x)dx}$ |
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| Question 3 |
Differentiate ${{\left( {{x}^{2}}-\tfrac{1}{x} \right)}^{2}}$ with respect to x |
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| Question 4 |
Find the value of x for which the function $3{{x}^{3}}-9{{x}^{2}}$ is minimum |
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| Question 5 |
If $\frac{dy}{dx}=x+\cos x$ find y |
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| Question 6 |
Differentiate ${{(\cos \theta -\sin \theta )}^{2}}$ with respect to θ |
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| Question 7 |
What is the locus of points equidistant from the ax + by + c = 0 |
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| Question 8 |
In the diagram POQ is a diameter of the circle. PQRS. If $\angle PSR={{145}^{o}}$. Find xo
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| Question 9 |
If $\tan \theta =\tfrac{5}{4}$, find ${{\sin }^{2}}\theta -{{\cos }^{2}}\theta$ |
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| 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 |
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| Question 11 |
PQRSTW is a regular hexagon and OS intersect RT at V. Calculate $\angle TVS$ |
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| Question 12 |
If the locus of the points which are equidistant from P and Q meets line PQ at point N, then PN equals |
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| Question 13 |
In the diagram above, PQ = 10cm, PS = 8cm and $\angle PSR$ is 60o. While SRQ is a right angle. Find SR |
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| 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 |
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| Question 15 |
In the diagram above, find the value of x |
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| Question 16 |
In triangle XYZ $\angle XYZ={{15}^{o}},\angle XZY={{45}^{o}}$and $\left| XY \right|=7cm$.Find $\left| YZ \right|$ |
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| 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)? |
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| Question 18 |
For what value of n is n + 1C3 = 4(nC3)? |
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| 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? |
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| 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 |
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| Question 21 |
The table above shows major GSM operator. What is the probability that a recharge selected at random will be GTN or Qtel |
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| 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? |
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| Question 23 |
Find the variance 2x, 2x – 1 and 2x + 1 |
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| Question 24 |
If the mean of five consecutive numbers integer is 30. Find the largest of the number |
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| Question 25 |
A final requires that a student answer 4 out 6 questions. In how many ways can this be done? |
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| Question 26 |
The cost of renovating a 6msquare is N540. What is the cost of renovating a 9m square room |
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| Question 27 |
How many terms of the series 3 – 6 + 12 – 24 + - - - are needed to make a total 1 – 28 |
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| Question 28 |
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| Question 29 |
Find the expression $k{{x}^{3}}+{{x}^{2}}-5x-2$ leaves a remainder 2 when it is divided by 2x + 1 |
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| Question 30 |
Solve the inequality for which $\frac{x+4}{3}-\frac{x-3}{2}<4$ |
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| 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 |
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| Question 32 |
Find the roots of ${{x}^{3}}-2{{x}^{2}}-5x+6=0$ |
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| Question 33 |
If $y={{x}^{2}}-x-12,$find the range of x for which y ≥ 0 |
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| 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 |
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| Question 35 |
If $T=2\pi \sqrt{\frac{l}{g}}$make g the subject of formula |
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| Question 36 |
The sum of first n positive is |
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| Question 37 |
Find p, q for which$\left( \begin{matrix} 2p & 8 \\ 3 & -5q \\\end{matrix} \right)\left( \begin{align} & 1 \\ & 2 \\\end{align} \right)=\left( \begin{align} & 24 \\ & -17 \\\end{align} \right)$ |
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| 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 |
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| 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 |
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| Question 40 |
If $m:n=13:11$find $({{m}^{2}}-{{n}^{2}}):{{(m+n)}^{2}}$ |
The solution set of the shaded area is