Maths Question
Question 1

An arc of a circle of length 22cm subtends an angle of 3xo at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [$\pi =\tfrac{22}{7}$]   

Question 2

Find the value of ${{\alpha }^{2}}+{{\beta }^{2}}$ if $\alpha +\beta =2$and the distance between the points $(1,\alpha \text{ )and (}\beta ,1)$is 3 units

Question 3

The sum of the interior angles of a pentagon is 6x + 6y. Find y in term of x 

Question 4

In the diagram above, PQ = 4cm and TS = 6cm, if the area of parallelogram PQTU is 32 cm2, Find the area of trapezium PQRU

Question 5

Find the midpoint of the line joining  P(–3,5)  and Q (5, –3)

Question 6

PQRSTV is a regular of side 7cm inscribed in a circle. Find the circumference of the circle PQRSTV  [$\pi =\tfrac{22}{7}$] 

Question 7
Question 8

Find the value of x in the figure above

Question 9

P, R and S lies on a circle centre O as shown above, while Q lies outside the circle. Find $\angle$PSO

Question 10

The shadow of a pole $5\sqrt{3}m$high is 5m. Find the angle of elevation of the sun

Question 11

The locus of a point which is 5 cm from the LM  is a

Question 12

If $y=3\cos (\tfrac{x}{3})$find $\frac{dy}{dx}$when $x=\tfrac{3\pi }{2}$

Question 13

Find the derivative of $(2+3x)(1-x)$with respect to x

Question 14

What is the rate of change of the volume V of a hemisphere with respect to its radius when r =2

Question 15

Find the derivative o the function $y=2{{x}^{2}}(2x-1)$ at the point x = –1

Question 17

Some white balls were put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the basket is $\tfrac{3}{7}$, how many white balls were introduced.

Question 18
Question 19

Find the mean deviation of 1, 2, 3 and 4

Question 20

The unbiased die is rolled 100 times and the outcome is tabulated as follows















 What is probability of obtaining 5?

Question 21

The pie chart above the distribution of the crops harvested from a farmland in al year. If 3000 tonnes of millet is harvested, what amount of beans is harvested?

Question 22

In how many ways can 2 students be seated from a group of 5 students in a debating competition?

Question 23

The mean age of a group of students is 15 years. When the age of a teacher is 45years old is added to the ages of the students, the mean of their ages becomes 18 years. Find the number of students in the group.

Question 24

A container  has 30 gold medals, 22 silver medals and 18 bronze medals. If one medal is selected at random from the container, what is the probability that it is not gold?

Question 25

A committee of six is to be formed by a state governor from nine commissioner and three members of state house of assembly. In how many ways can the committee be chosen so as to include one member of the house of assembly?

Question 26

The weight of 10 pupils in a class are 15kg, 16kg, 17kg, 18kg, 16kg, 17kg, 17kg, 17kg,18kg and 16kg. What is the range of this distribution?

Question 27

I.    Rectangular bars of equal width
II.    The height of each rectangular bar is proportional to the frequency of the corresponding class interval
III.    Rectangular bar have common sides with no gaps in between
A histogram is described completely by

Question 28

y is inversely proportional to x and y = 4 when x = $\frac{1}{2}$. Find x when y =10

Question 29

What are the integral values of x which satisfy the inequality $-1<3-2x\le 5$

Question 30

The inverse of the matrix $\left[ \begin{matrix}   2 & 1  \\   1 & 1  \\\end{matrix} \right]$is

Question 31

Find the value of x where the curve $y={{x}^{3}}+2{{x}^{2}}-5x-6$cross the x – axis

Question 32

Given that the first and fourth term of a G.P are 6 and 162 respectively. Find the sum of the first three term of the progression

Question 33

The shaded area in the diagram above is represented by

Question 34

If the operation * on the set of integer is defined by $p*q=\sqrt{pq}$, find the value of $4*(8*32)$

Question 35

Find the remainder when $3{{x}^{3}}+5{{x}^{2}}-11x+4$is divided by x + 3

Question 36

The nth term of two sequences are ${{Q}_{n}}=3\cdot {{2}^{n+2}}$ and ${{U}_{m}}=3\cdot {{2}^{2m-3}}$. Find the product of Q2 and U2

Question 37

if $P=\left( \begin{matrix}   1 & 0 & -1  \\   3 & 4 & 5  \\   -1 & 0 & 1  \\\end{matrix} \right)$, then $\left| P \right|$ is

Question 38

Factorize completely $ac-2bc-{{a}^{2}}+4{{b}^{2}}$

Question 39

Find the sum to infinity $\tfrac{1}{2},\tfrac{1}{6},\tfrac{1}{18}---$

Question 40

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64cm.long, find the length of a pendulum whose period is 9sec.

Question 41

$\begin{align}  & {{4243}_{5}} \\ & \underline{13x{{4}_{5}}} \\ & \underline{y{{344}_{5}}} \\\end{align}$Find x and y respectively in the subtraction above carried out in base 5.