Jambmaths

Maths Question

Question 1

The variance of 3, 2, 3, 6, 2, 4, 4 and 8 is

Question 2

If log₁₀2 = 0.3010 and log₁₀3 = 0.4771. evaluate log₁₀45

Question 3

The gradient of a curve is 2x + 7 and the curve passes through point (2,0). Find the equation of the curve

Question 4

In the diagram POQ is a diameter of the circle. PQRS. If $\angle PSR={{145}^{o}}$. Find x^o

Question 5

If $\tan \theta =\tfrac{5}{4}$, find ${{\sin }^{2}}\theta -{{\cos }^{2}}\theta$

Question 6

Evaluate ${{5}^{-3{{\log }_{5}}2}}\times {{2}^{2{{\log }_{2}}3}}$

Question 7

Simplify $\frac{3({{2}^{n+1}})-4({{2}^{n-1}})}{{{2}^{n+1}}-{{2}^{n}}}$

Question 8

A car dealer bought a second – hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

Question 9

Given the matrix \[k=\left( \begin{matrix} 2 & 1 \\ 3 & 4 \\\end{matrix} \right)\]the matrix ${{k}^{2}}+k+1$ is , where I is the 2× 2 identity matrix

Question 10

A man saves N100.00 in his first year, saves N20.00 more than in the preceding year. In how many years will he save N5,800.00

Question 11

Factorize $4{{x}^{2}}-9{{y}^{2}}+20x+25$

Question 12

In the figure below, PQR is a straight line segment, PQ = QT . Triangle PQT is an isosceles triangle. $\angle QPT$ is 25^o . Calculate the value of $\angle RST$

Question 13

If $p:q=\tfrac{2}{3}:\tfrac{5}{6}$and $q:r=\tfrac{3}{4}:\tfrac{1}{2}$ find $p:q:r$

Question 14

A sector of circle of radius 7.2cm which subtends an angle of 300^oat the centre is used to form a cone. What is the radius of the base of the cone?

Question 15

Find the range of values of x for which $\frac{x+2}{4}-\frac{2x-3}{3}<4$

QUESTION 17

Solve the equation${{x}^{3}}-5{{x}^{2}}-x+5=0$

Question 18

If the 9^th term of an AP is fives times the 5^th term, find the relationship between a and d

Question 19

If $\frac{dy}{dx}=2x-3$and y = 3 when x = 0. Find y in terms of x

Question 21

The slope of the tangent to the curve $y=3{{x}^{2}}-2x+5$ at the point (1,6) is

Question 22

Evaluate $\int{\sin 3xdx}$

Question 23

The pie chart above illustrates the amount of private time a student spends in a week studying various subjects. Find the value of k

Question 24

The histogram above represented the weight of students who travelled out of their school for an examination. How many people made the trip.

Question 25

A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?

Question 26

In how many ways can 6 subjects be selected from 10 subjects for an examination?

Question 27

27. In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

Question 28

Age in years	10	11	12
No. of pupil	6	27	7

The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old.

Question 29

29. If $X=\{{{n}^{2}}+1:n=0,2,3\}$and $Y=\{n+1:n=2,3,5\}$ find $X\cap Y$

Question 30

A bookseller sells Mathematics and English books. If 30 customers brought Mathematics books, 20 customers brought English books and 10 customers buy the two books, how many customers has he altogether?

Question 31

The locus of a point equidistant from two point P(6,2) and R (4,2) is perpendicular bisector of PR passing through

Question 32

Find the gradient of a line which is perpendicular to the line with the equation $3x+2y+1=0$

Question 33

If 2q3₅ = 77₈, find q

Question 34

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

Question 35

A solid metal of side 3 cm is placed I a rectangular tank of dimension 3, 4 and 5 cm. What volume of water can the tank hold?

Question 36

The perpendicular bisector of a line XY is the locus of a point.

Question 37

A cylindrical tank has a capacity of 6160m³. What is the depth of the tank, if the radius of its base is 28m? [Take $\pi =\tfrac{22}{7}$]

Question 38

A chord is drawn 5cm away from the centre of a circle of radius is 13cm. Calculate the length of the chord.

Question 39

Find the radius of a sphere whose surface area is 154 cm² [Take $\pi =\tfrac{22}{7}$]

Question 40

Simplify $\frac{1\tfrac{1}{3}+\tfrac{1}{2}\text{ of }6}{\tfrac{1}{3}\times 15\div \tfrac{5}{3}}$

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