WAEC SSCE - General Mathematics - 2017 (Objective)

Simplify; 3x - (p - x) - (r - p)

The roots of a quadratic equation are \(\frac{-1}{2}\) and \(\frac{2}{3}\). Find the equation.

Consider the statements: p it is hot, q: it is raining

Which of the following symbols correctly represents the statement "It is raining if and only if it it is cold"?

Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)

Which of the following is true about parallelogram?

Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the remaining exterior angles are 46\(^o\) each, name the polygon.

In the diagram, NQ//TS, <RTS = 50\(^o\) and <PRT = 100\(^o\). Find the value of <NPR

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, Find the median of the distribution

Two bottles are drawn with replacement from a crate containing 8 coke, 12 and 4 sprite bottles. What is the probability that the first is coke and the second is not coke?

Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)

Find the 6th term of the sequence \(\frac{2}{3} \frac{7}{15} \frac{4}{15}\),...

Fig. 1 and Fig. 2 are the addition and multiplication tables respectively in modulo 5. Use these tables to solve the equation (n \(\oplus 4\))

A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, calculate, correct to two decimal places, the angles of depression of the boat from point of observation

Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)

Find the value of m in the diagram

In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o\), find the value of (m + n)

The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres

Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.

A sum of N18,100 was shared among 5 boys and 4 girls with each boy taking N20.00 more than each girl. Find a boy's share.

Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3

One factor of \(7x^2 + 33x - 10\) is

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

An arc of a circle of radius 7.5cm is 7.5cm  long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take \(\pi = \frac{22}{7}\)]

The diagram shows a circle O. If < ZYW = 33\(^o\) , find < ZWX

Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ

The diagonal of a square is 60 cm. Calculate its peremeter

The graph of y = \(ax^2 + bx + c\) is shown oon the diagram. Find the minimum value of y

In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of < STR

If x = \(\frac{2}{3}\) and y = - 6, evaluate xy - \(\frac{y}{x}\)

If M = {x : 3 \(\leq\)  x < 8} and N = {x : 8 <  x \(\leq\) 12}, which of the following is true?

i. 8 \(\in\) M \(\cap\) N

ii. 8 \(\in\) M \(\cup\) N

iii. M \(\cap\) N = \(\varnothing\)

Express 0.0000407, correct to 2 significant figures

A bearing of 320\(^o\) expressed as a compass bearing is

In the diagram, XY is a straight line. <POX = <POQ and <ROY = <QOR. Find the value of <POQ + <ROY.

Calculate the variance of 2, 3, 3, 4, 5, 5, 5, 7, 7 and 9

Given that cos 30\(^o\) = sin 60\(^o\) = \(\frac{3}{2}\) and sin 30\(^o\) = cos 60\(^o\) = \(\frac{1}{2}\), evaluate \(\frac{tan 60^o - q}{1 - tan 30^o}\)

A circular pond of radius 4m has a path of width 2.5m round it. Find, correct to two decimal places, the area of the path. [Take\(\frac{22}{7}\)]

Given that t = \(2 ^{-x}\), find \(2 ^{x + 1}\) in terms of t. 

In what number base was the addition 1 + nn = 100, where n > 0, done?

The table gives the distribution of marks obtained by a number of pupils in a class test. Using this information, find the first quartile

The diagram shows a circle centre O. if <STR = 29 and <RST = 45, calculate the value

The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group

If the total surface area of a solid hemisphere is equal to its volume, find the radius

Make x the subject of the relation d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)

In a class of 45 students, 28 offer chemistry and 25 offer Biology. If each student offers at least one of the two subjects, calculate the probability that a student selected at random from the class the class offers chemistry only.

If the simple interest on a certain amount of money saved in a bank for 5 years at 2\(\frac{1}{2}\)% annum is N500.00, calculate the total amount due after 6 years at the same rate

Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)

Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)