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 $\int_{-4}^{0}{(1-2x)dx}$

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 xo           


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 60o. 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 + 1C3 = 4(nC3)?

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







No of Recharge card





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 – 28

Question 28

The solution set of the shaded area is

Question 29

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

Question 30

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

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 2xy

Question 32

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

Question 33

If $y={{x}^{2}}-x-12,$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 $({{m}^{2}}-{{n}^{2}}):{{(m+n)}^{2}}$