WAEC SSCE - General Mathematics - 2018 (Objective)

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

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

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

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 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.

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

Find the value of t in the diagram

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

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

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

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.

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?

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

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

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

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.

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.

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

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

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

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

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

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

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

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

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 x for which \(32_{four} = 22_x\)

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

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

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

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

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

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

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

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

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

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

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

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

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?

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

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

The mean of 1, 3, 5, 7 and x is 4. 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?

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

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

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

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

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

Factorise completely the expression

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