# Jambmaths

Maths Question
Question 1

How many sides has regular polygon having one of its interior angles as 150o

Question 2

Solve the inequality $\tfrac{1}{2}x+\tfrac{1}{3}>\tfrac{1}{3}x+1$

Question 3

Given: U = {Even numbers between 0 and 30}

P = {Multiples of 6 between 0 and 30}

Q = {Multiples of 4 between 0 and 30}

Find ${{(P\cup Q)}^{c}}$

Question 4

Factorize $2{{y}^{2}}-15xy+18{{x}^{2}}$

Question 5

x varies directly as y2 and x = 4, when y = 6. Find the value of y when x =16.

Question 6

Find the sum of the first 10 terms of the A.P, 3+10+17+….

Question 7

If x +1 is a factor of ${{x}^{3}}+3{{x}^{2}}+mx+4$ find the value of m

Question 8

Find the sum of the first 11 terms of an A.P. with first term 2 and the common difference 3

Question 9

Find the value of X in the figure above

Question 10

The distribution of scores in a class test are as follows: 2,8, 6,5, 8, 6, 6, 5, 6 and 5. Find the product of the modal and median score.

Question 11

In how many ways can the letters of the word ELATION be arranged?

Question 12

Evaluate $4(x-2)<8(x+3)$

Question 13

If $y=3\sin (-4x)$ ,$\tfrac{dy}{dx}$ is

Question 14

Simplify $1\tfrac{2}{3}+4\tfrac{1}{4}\div 1\tfrac{5}{12}$

Question 15

Find the length of arc which subtend an angle an angle of 60oat the centre of a circle whose radius 12cm

Question 16

Simplify $(\sqrt{3}-\sqrt{2})(2\sqrt{3}+\sqrt{2})$

Question 17

If $P=\left( \begin{matrix} 2 & 3 \\ 4 & 5 \\\end{matrix} \right)$ and $Q=\left( \begin{matrix} 4 & 2 \\ 3 & 3 \\\end{matrix} \right)$

Question 18

If $y={{x}^{2}}+\sqrt{x}$ , find $\frac{dy}{dx}$

Question 19

Divide the expression ${{x}^{3}}+7{{x}^{2}}-x-7$ by ${{x}^{2}}-1$

Question 20

The histogram above shows the number of tons of rice produced. What was the quantity produced from May to September?

Question 21

A chord of a circle of radius $\sqrt{6}cm$subtends an angle of 30oon the circumference of circle. Find the length of the chord

Question 22

Find the gradient of the line joining the points P(5,6) and Q(3,3)

Question 23

If a student measured the length of a table to be 2.30m instead of 2.50m. What was the percentage error in measuring the length of the table?

Question 24

How many sides has a regular polygon whose interior angle is 135o each

Question 25

Find the median of 5,9,1, 10,3, 8, 9, 9, 2, 4, 5,5, 5,7, 3 and 6

Question 26

From the diagram above, find the value of x correct to one decimal place

Question 27

In a right angled triangle, if $\tan \theta =\tfrac{3}{4}$ what is $\cos \theta -\sin \theta$?

Question 28

The pie chart above shows the sectoral allocation of fruits. Find the allocation of oranges.

Question 29

Evaluate $\int{\sin 4xdx}$

Question 30

Find the value of $\left| \begin{matrix} 0 & 3 & 2 \\ 1 & 7 & 8 \\ 0 & 5 & 4 \\\end{matrix} \right|$

Question 31

The binary operation * is defined $x*y=xy-y-x$ for real values of x and y. If $x*3=2*x$, find the value of x

Question 32

Simplify ${{23}_{4}}\times {{22}_{4}}$

Question 33

If $y={{x}^{2}}-3x+4$ find $\tfrac{dy}{dx}$ at x = 5

Question 34

The scores of ten students in a mathematics test with an average score of 10 are 12, 15, 3, 4, 2x, 8, 10, 13, x and 17. Calculate the value of x

Question 35

Solve the inequality $(x+4)(x+1)\le 0$

Question 36

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x.

Question 37

If ${{110001}_{2}}-{{x}_{10}}={{10101}_{2}}$ find x

Question 38
 Age 1 2 3 4 5 6 7 No of Child 6 x 16 2x – 1 15 12 18

The distribution above shows the ages of 120 children. Find the value of x

Question 39

Evaluate $\int\limits_{0}^{1}{{{(2x+1)}^{2}}dx}$

Question 40

If x varies directly as the square of P and inversely as Q,  and x = 25 when P = 4 and Q = 2, find x when P = 6 and Q =3