Maths Question
Question 1

Which Question paper type of mathematics is indicated above is given to you

Question 2

Convert 726 to a number in base three

Question 3

Simplify $\frac{2\tfrac{2}{3}\times 1\tfrac{1}{2}}{4\tfrac{4}{5}}$

Question 4

Evaluate $\tfrac{21}{9}$to 3 significant figures

Question 5

A man earns N3,500 per month out of which he spends 15% on his children’s education. If he spend 15% on his additional N 1950 on food, how much does he have left?

Question 6

If ${{27}^{x+2}}\div {{9}^{x+1}}={{3}^{2x}}$, find x

Question 7

If ${{\log }_{3}}{{x}^{2}}=-8$, what is x,

Question 8

Simplify ${{(\sqrt{6}+2)}^{2}}-{{(\sqrt{6}-2)}^{2}}$

Question 9

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find $P\cap Q.$

Question 10

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

Question 11

Make n the subject of the formula if $w=\frac{v(2+cn)}{1-cn}$

Question 12

Find the remainder when $2{{x}^{3}}-11x+8x-1$is divided by x + 3

Question 13

Solve for x and yin the equation below$\begin{align}  & {{x}^{2}}-{{y}^{2}}=4 \\ & x+y=2 \\\end{align}$

Question 14

If  y varies directly as $\sqrt{n}$and y =4 when n =4,   find y when $n=1\tfrac{7}{9}$

Question 15

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V=3

Question 16

The value of y for which $\frac{1}{5}y+\frac{1}{5}<\frac{1}{2}y+\frac{2}{5}$is

Question 17

Find the range of values of m which satisfy  $(m-3)(m-4)<0$

Question 18

The shaded region above is represented by the equation.

Question 19

The nth term of a sequence ${{n}^{2}}-6n-4$. Find the sum of the 3rd and 4th terms.

Question 20

The sum to infinity of a geometric progression is $-\tfrac{1}{10}$and the first term is $-\tfrac{1}{8}$.Find the common ratio of the progression.

Question 21

The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$

Question 22

The binary operation * is defined on the set of real numbers is defined by $m*n=\frac{mn}{2}$for all$m,n\in \mathbb{R}$. If the identity element is 2. Find the inverse of –5 .

Question 23

if $\left| \begin{matrix}   5 & 3  \\   x & 2  \\\end{matrix} \right|=\left| \begin{matrix}   3 & 5  \\   4 & 5  \\\end{matrix} \right|$, find the value of x

Question 24

Given that I3 is a unit matrix of order 3 find $\left| {{I}_{3}} \right|$ 

Question 25

In the diagram above OR$\parallel $TU, $\angle PQR={{80}^{\circ }}$,and $\angle PSU={{95}^{\circ }}$Calculate $\angle SUT$

Question 26

The angles of a polygon are given by x, 2x, 3x, 4x, and 5x respectively. Find the value of x

Question 27

In the diagram above, PQR is a circle O. If $\angle \mathbf{QRP}$is xo, Find $\angle \mathbf{QRP}$

Question 28

Find the area of the trapezium above

Question 29

A circular arc subtends angles 150o at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

Question 30

Calculate the volume of cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm

Question 31

The locus of a point equidistant from the intersection of lines $3x-7y+7=0$and $4x-6y+1=0$ is a

Question 32

The gradient of the straight line joining the point P(5, –7) and Q(–2, –3) is

Question 33

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x

Question 34

Find the equation of the line through the points  (–2, 1) and (–½, 4)

Question 35

If angle θ is 135o, evaluate cos θ

Question 36

A man stands on a tree 150cm high and see a boat at an angle of depression of 74o, Find the distance of the boat from the base of the tree.

Question 37

If  $y={{x}^{2}}-\tfrac{1}{x},$find $\tfrac{dy}{dx}$

Question 38

Find $\frac{dy}{dx}$if y = cos x 

Question 39

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

Question 40

Evaluate $\int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }$