WAEC SSCE - General Mathematics - 2018 (Objective)

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

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

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.

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

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

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

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

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

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?

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

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

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

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

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

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

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

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//RS. Find x in terms of y and z

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

Factorise completely the expression

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

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

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

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

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 \(\pi = \frac{22}{7}\)]

Find the value of t in the diagram

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

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 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

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.

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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)

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?

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

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

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

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