WAEC SSCE - General Mathematics - 2018 (Objective)

Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)

The diagram shows a trapezium inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m

If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6

The graph of y = x\(^2\) and y = x intersect at which of these points?

If 3x\(^o\) 4(mod 5), find the least value of x

In the diagram, PR is a tangent to the circle at Q, QT//RS,

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.

If  x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z

In the diagram, WXYZ is a rectangle with diamension 8cm by 6cm. P, Q, R and S are the midpoints of the rectangle as shown. Using this information calculate the area of the part of the rectangle that is not shaded

Find the median of 2, 1, 0, 3, 1, 1, 4, 0, 1 and 2

In the diagram, WXYZ is a rectangle with dimension 8cm by 6cm. P, Q, R and S are the midpoints of the sides of the rectangle as shown. Using this information, what type of quadrilateral is the shaded region?

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div  4 \frac{3}{8}\)

Given that Y is 20cm on a bearing of 300\(^o\) from x, how far south of y is x?

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.

Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16

Factorise completely the expression

\((x + 2)^2\) - \((2x + 1)^2\)

Find the mean deviation of 20, 30, 25, 40, 35, 50, 45, 40, 20 and 45

Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0

The mean of 1, 3, 5, 7 and x is 4. Find the value of x

The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.

A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take \(\pi = \frac{22}{7}\)]

In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?

If P and Q are two statements, under what condition would p|q be false?

The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

Find  the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...

M and N are two subsets of the universal set (U). If n(U) = 48, n(M) = 20, n(N) = 30 and n(MUN) = 40, find n(M \(\cap\) N)

The surface area of a sphere is \(\frac{792}{7} cm^2\). Find, correct to the nearest whole number, its volume. [Take \(\pi = \frac{22}{7}\)]

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

The solution of x + 2 \(\geq\) 2x + 1 is illustrated

If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.

If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|

Solved the equation \(2x^2 - x - 6\) = 0

If x : y : z = 3 : 3 : 4, evaluate \(\frac{9x + 3y}{6z - 2y}\)

Find the value of x for which \(32_{four} = 22_x\)

If tan x = \(\frac{4}{3}\), 0\(^o\) < x < 90\(^o\), find the value of sin x - cos x

Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is defined

Find the value of t in the diagram

If y + 2x = 4 and y - 3x = -1, find the value of (x + y)

Donations during the launching of a church project were sent in sealed envolopes. The table shows the distribution of the amount of money in the envelope. How much was the donation?

There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?

In the diagram, PQ is a straight line, (m + n) = 110\(^o\) and (n + r) = 130\(^o\) and (m + r) = 120\(^o\). Find the ratio of m : n : r

In the diagram, PS and RS are tangents to the circle centre O,

The diagonals of a rhombus WXYZ intersect at M. If |MW| = 5cm and |MX| = 12cm, calculate its perimeter

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.

The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\)) and (x - \(10^o\)). Find the value of x

In the diagram, PQ//RS. Find x in terms of y and z

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)