# Jambmaths

Maths Question
Question 1

If $y={{(1-2x)}^{3}}$Find the value of $\frac{dy}{dx}$at x =1

Question 2

Find the area of the figure bounded by the given pair of curves $y={{x}^{2}}-x+3$and y =3

Question 3

The  radius of circular disc is increasing at the rate of 0.5cm/sec. At what rate is the area of the disc increasing when its radius is 6cm

Question 4

Evaluate $\int_{0}^{\tfrac{\pi }{2}}{\sin 2xdx}$

Question 5

The maximum value of the function $f(x)=2+x-{{x}^{2}}$is

Question 6

Find the derivative of $y=\sin (2{{x}^{3}}+3x-4)$

Question 7

The sum of interior angles of a regular polygon is 1800o. Calculate the size of one exterior angle of the polygon

Question 8

Two lines PQ and ST intersect at 75o. The locus of  the point equidistant from PQ and ST lies on the

Question 9

A chord of a circle subtend an angle of 60oat the centre of a circle of radius 14cm. Find the length of the chord

Question 10

From the diagram above, find the bearing of R from S

Question 11

Find the coordinate of the midpoint of the line joining (3, –4) and (–1, 10)

Question 12

In the diagram above, O is the centre of the circle $\angle UOT=70^\circ$ and $\angle RST=100^\circ$ Calculate $\angle RUO$

Question 13

Find the equation of the perpendicular at point (4,3) to the line y +2x – 5

Question 14

A sector of a circle has an area of 55cm2. IF the radius of the circle is 10cm , calculate the angle of the sector.[take $\pi =\tfrac{22}{7}$]

Question 15

If$\sin \theta =-\tfrac{1}{2}\text{ for }0<\theta <{{360}^{o}}$, the value of θ is

Question 16

Three straight line EF, GH, and LK intersect at O as shown above. If $\angle KOF={{52}^{o}}$and$\angle LOH={{85}^{o}}$, calculate the size of $\angle EOG$

Question 17

Find the curved surface area of a cone with circular base diameter 10cm and height 12cm

Question 18

In the diagram above, calculate the value of x

Question 19

Three boys shard some oranges. The first received $\tfrac{1}{3}$of the oranges and second received $\tfrac{2}{3}$ of the remainder. If the third boy received the remaining 12 oranges, how many oranges did they share?

Question 20

Simplify $\frac{\sqrt{12}-\sqrt{3}}{\sqrt{12}+\sqrt{3}}$

Question 21

If the interest on N150.00 is N4.50, find the interest on N250.00 for 6 months at the same rate

Question 22

If 3214 is divided by 234 and leaves a remainder r, what is the value of r ?

Question 23

The Venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

Question 24

Evaluate $\frac{{{81}^{\tfrac{3}{4}}}-{{27}^{\tfrac{1}{3}}}}{3\times {{2}^{3}}}$

Question 25

Find the value of m if 13m +24m =41m

Question 26

If $\mu$ ={x: x is a positive integer less than 10} and P = {x : x is a prime factor of 30}. Find the compliment of P

Question 27

A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father’s monthly income, if the second child got N3000.

Question 28

If ${{\log }_{10}}2=0.3010$ and${{\log }_{10}}3=0.4771$, evaluate ${{\log }_{10}}4.5$

Question 29

Simplify $3\tfrac{1}{2}-(2\tfrac{1}{3}\times 1\tfrac{1}{4})+\tfrac{3}{5}$

Question 30

In how many ways can 6 coloured chalks be arranged, if 2 are of the same colour

Question 31
 Scores 1 2 3 4 5 6 No of students 1 4 5 6 x 2

The table above shows the score of a group of students in a test. If the average is 3.5, find the value of x

Question 32

A box contains 5blue balls, 3 red balls and 2 white balls. Two balls were selected from the box with replacement. Find the probability of obtaining two blue or two red balls

Question 33

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is $\sqrt{2}$

Question 34

The grade of 36 students in a test shown in the pie chart . How many students had excellent?

Question 35

What is the probability that an integer x $(1\le x\le 20)$chosen at random is divisible by both 2 and 3

Question 36

The modal height and range of height

1.35, 1.25, 1.35,. 1.25, 1.40, 1.35, 1.45, 1.50, 1.35, 1.50 and 1.20 are m and r respectively. Find m + 2r

Question 37

How many possible ways are there of seating seven people P,Q ,R ,S ,T, U and V at circular table

Question 38

The histogram above shows the distribution of the monthly income of the workers in a company. How many workers earn more than N700.00?

Question 39

Divide $6{{x}^{2}}-13x\text{ by }2x-1$

Question 40

The diagram above is the graph of the function f(x). Determine the range of values of x for which  $f(x)\le 0$