WAEC SSCE - General Mathematics - 2018 (Objective)

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

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

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

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

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

Find the value of t in the diagram

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.

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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?

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

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

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

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

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

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

Factorise completely the expression

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

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

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

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

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

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

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

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

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

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

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.

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