The probability of obtaining a number less than 5 in a single toss of a fair die is

A string of length 66 cm is shaped into an arc of a circle of radius 28 cm.
The angle of the sector is

A G.P has a common ratio of 3. If the difference between the 1st term and 5th term is 160, the 5th term is

Evaluate:

81^-1/4  × 36^1/2  ×10⁰

All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°.
The angle subtended at the centre of the circle by the base of the triangle is

If   (x-1),   x,   (x+2) form an exponential sequence.

What is the value of x?

The number 1.5714286, corrected to five decimal places, is

Evaluate: 
27.63² - 22.37²

Factorize:
32a³ - 8ab²

If 45% of the Nigerian naira (N) is equal to 35% of the American dollar ($), the conversion rate of  $1 =

Reduce each number in the following expressions to two significant figures and then evaluate:

( 0.04371 × 2.44913 ) ÷ 0.047512

How long will it take for a sum of money invested at 8% simple interest to double the original sum?

Choose the word that best completes the sentence:

The board ______ to make the decision by next Thursday.

Sorry, she can't come to the phone. She _______ a bath (Fill in the blanks)

Choose the word that best completes the sentence:

The famous singer and composer ________ arrived.

Simplify:

(2^y - 2^{y - 1}) ÷ (2³ × 2^y – 8 × 2^{y – 1})

Choose the word that best completes the sentence:

Each of our staff members _____ to fill in an evaluation form.

A regular polygon with (2m + 1) sides has each interior angle equal to 144°.
The value of m is

Which of the following operations is/are NOT closed over the set of odd integers?

I. Division
II. Subtraction
III. Addition
IV. Multiplication

Solve the simultaneous equations

2/x + 1/y = 3
3/x - 2/y = 8

Choose the word that best completes the sentence:

They don`t always agree but I think there is a bond of _______ affection between them.

The volume of a cone of radius 6 cm and vertical height 7 cm is
take (π= 22/7)

An open, rectangular wooden box of internal depth 40 cm has a base of internal dimensions 50 cm by 30 cm.
If the box is made of wood of thickness 1 cm,
the total volume of wood in the box is

Evaluate:

(2^-3 × 16^3/4 × 2⁰)

The ratio of the sides of two similar rectangular blocks is 5 : 3.
If the volume of the smaller block is 324 cm³,
that of the other block is

Two siblings Taiwo and Kehinde went out to lunch at a restaurant.
If Taiwo contributed 40% of the cost and Kehinde contributed the balance, which is £150, the cost of the lunch was?

Correct adjectival order?

An interesting young woman.

The maximum value of the function

g(x) = -x² - 6x + 10 is

Choose the word that best completes the sentence:

Everyone ____ expected to come with their passports.

When a polynomial f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1.
Find f(x)

Divide
(2x³  -  xy²  +  y³)      by      (x + y)

A bag contains 4 red, 8 green and 6 blue ball of identical size.
The probability that a ball selected randomly is either red or green is

What is the lowest common multiple of the prime numbers between 1 and 10?

Choose the word that best completes the sentence:

The creator and distributor of the software ______ Energesix Ltd.

Choose the word that best completes the sentence:

Many of the headlines in the newspaper ______ hard to believe.

A motorist drives from Manchester to Chichester at an average speed of 80 km/hr and immediately returns through the same route at an average speed of 50 km/hr.

Find the average speed for the round-trip journey.

A ladder resting against a vertical wall makes an angle tan-¹(2.4) with the ground.
If the foot of the ladder is 1 m from the wall,
what is the length of the ladder?

Choose the word that best completes the sentence:

We need to make sure that there is enough _________ accommodation to house all the delegates.

If f(x) = x² + 2x - 2,
find the least value of f(x) and the corresponding value of x

The probability that a sum of 10 will appear in two tosses of a fair die is

A number is selected randomly from the set of integers 1 to 20 inclusive.
What is the probability that the number is either a multiple of 3 or a multiple of 5

The line 3y - x = 7 makes an angle of θ with the positive x-axis.

Find the value of   sin θ.

Four handbags and three school bags costs $2000 and cost of handbag is thrice as much as schoolbags. If cost of school bag is 'a' then derived equation will be

The subsets X,Y and Z of a universal set are defined as
X = {a, e, m, p} ;
Y = {a, e, i, o, u} and
Z = {l, m, n, o, p, q, r, s, t, u}
The elements of X ∪ (Y ∩ Z)  are

Simplify:

4 × 4^-n × 2^2n-2