Evaluate 0.0035/0.210, leaving your answer in standard form.

Find the amount paid by an investor that took a loan of #4,000.00 for 6 months at 12% per annum simple interest.

The first term of an Arithmetic Progression is 36 and the fourth term is 6. Find the common difference

A fridge bought for #120,000.00 depreciated by 25% in the first year and 20% the second year. Find its value at the end of the second year.

Given two quantities and such that when increases, decreases and vice visa, the two quantities are said to be

Calculate the sum to infinity of a Geometric Progression whose first term is 2 and common ratio 0.5.

Given A = {2,3,5,7,11,13,17} and B = {1,2,3,4,5,6,7,8,9,10}, find n(AUB).

If P is directly proportional to Q and inversely proportional to R, find the equation connecting P, Q and R.

The length of a classroom window was measured as 400 cm. Find the percentage error if the actual length is 399.5 cm.

Find the quadratic equation whose roots are -5 and 3/2.

If (x - 3) is one of the factors of x^2 + 14x - 51, find the other factor.

Solve (x - 6)/3 = (x - 4)/4.

Factorise 4y² − 144.

Consider the statements:
p : Bayo is a footballer
q : Bayo scored a goal

Which of the following options interprets "Bayo is a mechanic if and only if Bayo did not score a goal"?

Which of the following options represents the number line in Fig. 3.1?

Emeka and Bombo's ages were added up to 28 years. Five years ago, Emeka was twice as old as Bimbo. Find their present ages respectively.

What must be added to y² - 7y to make the expression a perfect square?

Solve 5(y + 2) - 2(3y - 5) = 4

What is the range of values of x for the line graph in fig. 3.2?

If the volume of a rectangular-based pyramid is 60 cm^3 and its base area is 18 cm^2, calculate the height of the pyramid

Find the gradient of a line joining the points A (-5, 8) and B (11, -2).

If ∆ABC has sides |AB| = 6 cm, |BC| = 5 cm and |AC| = 7 cm, find cos B

Two points A and B on the equator have longitudes 162°E and 74°W respectively. What is the shortest distance between them? (Take π = 22/7, R = 6,400 km).

The bearing of N75°W can also be expressed as

A hunter 1.5 m tall, observes the angle of elevation of a bird on top of a tree to be 60°. If the hunter is 100m away from the bord, find the height of the tree correct to one decimal place

Find the volume of a cone of radius of 6 cm vertical height 7 cm. (Take π = 22/7).

Calculate the surface area of a sphere with radius 3.5 cm. (Take π = 22/7).

Find the radius of the parallel of latitude 40°N to the nearest km. (Take R = 6,400 km).

In Fig. 3.3, O is the centre of the circle. Find the value of y.

Find the value of x in Fig.3.4.

Find the value of y in Fig. 3.5

In a circle of radius 10 cm, find the distance of a chord of length 16 cm from the Centre of the circle.

If the bearing of R from S is 58°, what is the bearing of S from R?

Calculate the value of y in Fig.3.6.

If the mean of the numbers 10, 14, x, 11, 13 is x, find the value of x.

The probability of a student passing an examination is 2/3. If 3 students write the examination, what is the probability that they all pass? Correct to 2 decimal places.

Table 3.1 is the result of three groups of students who cast their votes on a proposal. If a student is chosen at random, what is the probability that the student is against the proposal?

Table 3.1: Votes on a proposal

Calculate the mean of the distribution in Table 3.2.

Table 3.2: Frequency distribution

A bag contains 3 yellow and 2 red identical balls. If two balls are picked at random one after the other without replacement, what is the probability of picking two balls of different colours?

Calculate the variance of the following data; 2, 3, 5, 6.

Find the range of the following; 23,72, 51, 61, 42, 34, 22, 52.

Calculate the standard deviation of the following set of numbers; 9, 8, 7, 6, 4,2.

Find the median of the frequency distribution in Table 3.3.

Table 3.3: Frequency distribution