if $$\frac{27^x\times3^{1-x}}{9^{2x}}=1$$ ,find the value of x.

(a)  

Factorize completely: 6ax - 12by - 9ay + 8bx

(a)  

The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students

(a)  

23_y = 1111_two, find the value of y.

(a)  

Bala sold an article for N6,900 and made a profit of 15%. Calculate his percentage profit if he had sold it for N6,600. 

(a)  

Find the value of Y.

(a)  

An arc subtends an angle of 72^o at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. [Take π = 22/7]

(a)  

Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $117,760.00 after the sale, what was the selling price of the house? 

(a)  

Find the angle at which an arc of length 22 cm subtends at the center of a circle of radius 15cm.  [Take π = 22/7].

(a)  

Find the value of n

(a)  

Find the value of m

(a)  

1.         The diagonals of a rhombus ABCD intersect at O. If |OA| = 6cm and |OB| = 8cm, calculate its perimeter.

(a)  

In the diagram, PQR is an equilateral triangle of side 18cm. M is the midpoint of QR. An arc of a circle with center P touches QR at M and meets PQ at A and PR at B. Calculate, correct to two decimal places, the area of the shaded region. (Take π = 22/7).

(a)  

For a class of 30 students, the scores in a Mathematics test out of 10 marks were as follows:

4, 8, 7, 2, 3, 8, 8, 5, 8, 9, 5, 4, 2, 3, 7, 9, 8, 7, 7, 7, 3, 4, 5, 5, 2, 3, 8, 7, 7 and 2. What is the median score?

(a)  

In the diagram above, what is the size of angle ACB?

(a)  

If sinθ = 3/5, find tanθ for 0 < θ < 90^o

(a)  

Find the quadratic equation whose roots are x = -2 or x = 7

(a)