Simplify: (3/4  - 2/3) x 1(1/5)

Simplify: (10√3/ √5 - √15)²

The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45m in 3 seconds, how far will it fall in 6 seconds?

Which of the following is a valid conclusion from the premise? Nigerian footballers are good footballers.

On a map, 1cm represents 5km. Find the area on the map that represents 100km²

Simplify: (3ⁿ⁻¹ × 27ⁿ⁺¹) / 81ⁿ

What sum of money will amount to ₦10,400.00 in 5 years at 6% simple interest?

Which of the following number lines illustrates the solution of the inequality?

4 < (2x - 1)/3 < 5

The roots of a quadratic equation are 4/3 and -3/7. Find the equation.

Find the values of $y$ for which the expression {y² - 9y + 18}/{y² + 4y - 21} is undefined.

Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?

Simplify:  2/(1-x) - 1/x

Make s the subject of the relation: p = s + sm²/nr

Factorize: (2x + 3y)²- (x - 4y)²

The curved surface area of a cylinder, 5cm high, is 110cm². Find the radius of its base. [Take π = 22/7]

The volume of a pyramid with height 15cm is 90cm³. If its base is a rectangle with dimensions x cm by 6cm, find the value of x.

In the diagram, YW is a tangent to the circle at X, |UV| = |VX| and < VXW = 50º. Find the value of <ZXY.

In the diagram, PF, QT, RG intersect at S and PG ||RG. If <PSQ = 113º and < RST = 220º, find <PSQ.

In the diagram, O is the centre of the circle, ∠XOZ = (10m)° and ∠XWZ = m°. Calculate the value of m°.

Kweku walked 8m up to a slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?

In the diagram, TS is a tangent to the circle at S. |PR| = |PS| and <PQR = 117º. Calculate <PST.

In the diagram above, PR || WY, |TX| = |QY|, <PQT = 48º and <TXW = 60º. Find <TQU.

A straight line passes through the points P(1,2) and Q(5,8). use this information to answer questions 24 and 25.

Calculate the gradient of the line joining points P(1, 2) and Q(5, 8).

A straight line passes through the points P(1,2) and Q(5,8). use this information to answer questions 24 and 25.

Calculate the length of the line segment PQ for points P(1, 2) and Q(5, 8).

In the diagram, TX is perpendicular to UW, |UX| = 1cm and |TX| = |WX| = √3cm. Find <UTW.

If cos θ = x and sin 60º = x - 0.5,  0º < θ < 90º, find, correct to the nearest degree, the value of θ.

Age (years): 13 14 15 16 17
Frequency: 10 24 8 5 3

The table shows the ages of students in a club. Use the table below to answer questions 28 and 29.

How many students are in the club?

Age (years): 13 14 15 16 17
Frequency: 10 24 8 5 3

The table shows the ages of students in a club. Use the table below to answer questions 28 and 29.

Find the median age.

The figure above is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000.00, how much was spent on food? (The sector angle for food is 150º)

A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?

The marks of eight students in a test are: 10, 4, 5, 3, 14, 13, 16 and 7. Find the range.

If log₂(3x−1) = 5, find x.

A sphere of radius r cm has the same volume as a cylinder of radius 3cm and height 4cm. Find the value of rcm.

Express 1975 correct to 2 significant figures.

In the diagram above, MOPQ is a trapezium with QP|| MO, MQ || NP. |NO| = 9cm and the height of ΔQNP = 6cm, calculate the area of the trapezium.

The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector. [Take π = 22/7]

Examine M ∩ N' from the Venn diagram.

If 20 (mod 9)  is equivalent to y( mod 6), find y.

Simplify: {(p-r)² - r²}/{2p² - 4pr}

In the diagram above, O is the centre of the circle, <QPS = 100º, <PSQ = 60º and <QSR = 80º. Calculate <SQR.

A bag contains 5 red and 4 blue identical balls. If two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue.

The relation y = x² + 2x + k passes through the point (2, 0). Find the value of k.

Find the next three terms of the sequence: 0, 1, 1, 2, 3, 5, 8, ......

Find the lower quartile of the distribution illustrated by the cumulative frequency curve.

The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?

Halima is n years old. Her brother's age is 5 years more than half of her age. How old is her brother?

In the diagram above, MN is a chord of a circle KMN centre O and radius 10cm. If <MON = 140º, find, correct to the nearest cm, the length of the chord MN.

An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50º, find, correct to 2 decimal places, the height of the mast.

From the diagram, which of the following is true?