WAEC SSCE - General Mathematics - 1994 (Objective)

Simplify: 16\(^{\frac{5}{4}}\) x 2\(^{-3}\) x 3\(^0\)

Which of the following is a root of the equation x\(^2\) +6x = 0?

In the diagram, PQ||RS and angles are as shown. Find x

The median of the distribution is

simplify; 2log\(_{3}\) 6 + log\(_{3}\) 12 - log\(_{3}\) 16

Express in \( \frac{8.75}{0.025} \)standard form

Which of the following is a point on the curve y = x\(^2\) - 4x + 7?

In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and ∠RSP = 74o. Find ∠QPS

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)

Evaluate \( \frac{27^{\frac{1}{3}}}{16^{-\frac{1}{4}}} \)

Which of the following is equal to \(\frac{72}{125}\)

A house bought for N100,000 was later auctioned for N80,000. Find the loss percent.

In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|

What is the number whose logarithm to base 10 is \(\bar{3}.4771\)?

Which of the following equations can be solved by the points of intersection P and Q of the curve and the line PQ?

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

The sum of the 1st and 2nd terms of an A.P. is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms.

The percentage of the students with mass less than 69kg is

In the graph above, the gradient of the curve at the point P is

E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q? 

Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).

For what value of x is the expression \(\frac{x^2 + 15x + 50}{x - 5}\) not defined ?

If x is positive, for what range of values of x is 4 + 3x < 10?

Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

Simplify: \(2\frac{1}{3} \div 2\frac{2}{3} \times 1\frac{1}{7}\)

If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term

Find the quadratic equation whose roots are 3 and \(\frac{2}{3}\).

If 8x- 4 = 6x- 10, find the value of 5x,

If sin\( \theta \) = K find tan\(\theta\), 0° \(\leq\) \(\theta\) \(\leq\) 90°.

Which of the following is not a factors of 2p\(^2\) - 2?

In the diagram above, PQ is the tangent to the circle RST at T.|ST| = ST and ?RTQ = 68o. Find ?PTS

A string is 4.8m. A boy measured it to be 4.95m. Find the percentage error.

The length of an exercise book is given as 20cm correct to the nearest centimeter. In which of the following ranges of possible measurement does the actual length lie?

What is the equation of the line PQ?

The diagram above shows a circle PQRS in which ∠PRQ = 54o and ∠SPQ = 97o. Find ∠PQS.

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].