FUNAAB Mathematics 2017/2018 Past Questions

Solve for p in the following equation given in base two. \n 11(p + 110) = 1001p

In a class, 37 students take at least one of chemistry, economics, and government. 8 students take chemistry 19 take economics and 25 take government. 12 students take economics and government but nobody takes chemistry and economics. How many students take both chemistry and government?

A businessman invested a total of N200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of N11,600 as dividends, how much did he invest at 5%?

A cyclist rode for 30minutes at xkm/hr, and due to a breakdown he had to push the bike for 2hrs at (x - 5)km/hr. If the total distance covered is less than 60km, what is the range of values of x?

z is partly constant and partly varies inversely as the square of d. When d = 1, z = 11 and when d = 2, z = 11. Find the value of z when d = 4

Factorize 16(3x + 2y)² - 25(a + 2b)²

A cone has a base radius 4cm and height 3cm. The area of its curved surface is

Let log y + log 3 = 3

Expand the expression (x² - 2x - 3)(x² + x + 1)

A girl walks 30m from a point P on a bearing of 040° to a point Q. She then walks 30m on a bearing of 140° to a point R. The bearing of B from P is

A regular polygon has each of its angles as 160°. What is the number of sides of the polygon?

The interior angles of a pentagon are: 180°, 118°, 80°, 78° and x. The value of x is:

All the vertices of an isosceles triangle lies 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:

A square tile measures 20cm by 20cm. How many of such files will cover a floor measuring 5m by 4m?

The volume of a certain sphere is numerically equal to twice its surface area. The diameter of the sphere is:

A bearing of 310°, expressed as a compass bearing is:

The average of the three children in a family is 9 years. If the average age of their parents is 39 years, the average age of the whole family is:

Simplify 1 + 2⁄3 - 3 ÷ (1 + 2⁄3 of 6⁄7)

Evaluate x in base 3 if 41_x - 22_x = 17_x

A woman buys 4 bags of rice for N56 per bag and 3 bags of beans for N26 per bag using the currency "NAIRA"(N) in base 7. What is the total cost of the items in another currency "ANTI" (A) in base 8?

When the price of egg was raised by N2 an egg, the number of eggs which can be bought for N120 is reduced by 5. The present price of an egg is

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

The journey from Lagos to Ibadan usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed, in km/hr is

The smallest section of a rod which can be cut into exactly equal sections, each of either 30cm or 36cm in length is

If x = 0.0012 + 0.003174, what is the difference between x and 2 decimal places and x to 1 significant figure?

The angle of depression of two points A and B on a plane field from the top of a mast erected between A and B are 30° and 45° respectively. If A is westward of B, find |AB| if the height of the mast is 15m from the field.

The radius if a circle is given as 10cm subject to an error of 0.2cm. The error in the area of the circle is

In a survey of 100 students in an institution, 80 students speak Yoruba, 22 speak Igbo, while 6 speak neither Igbo nor Yoruba. How many students speak Yoruba and Igbo?

A bag contains 5 yellow balls, 6 green and 9 black balls. A ball is drawn from the bag. What is the probability that it is a black or yellow ball?

The expression a³ + b³

A cylinder has height 4cm and base radius 5cm. Its volume to 3 significant figure is

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3)

Dividing 2x - x - 5x + 1 by x + 3 gives the remainder

Let f(x) = 2x³ - 3x² - 5x + 6. If x - 1 divides f(x), find the zeros of the function

The difference of two numbers is 10, while their product is 39. Find these numbers

The average age of x pupils in a class is 14 years 2 months. A pupil of 15 years 2 months joins the class and the average age is increased by one month. Find x.

If the distance covered by a body in time to seconds is s = t³ - 6t² - 5t, what is its initial velocity?

In a throw of a fair die, the probability of obtaining an even number is

Two fair coins are tossed simultaneously. What is the probability of obtaining at least 1 tail turns up?

One angle of a polygon has each of its angles as 160°. What is the number of sides of the polygon?

One angle of an octagon is 100° while the other sides are equal. Find each of these interior angles.

In a right-angled triangle, tanθ = 3⁄4 What is the value of sinθ + cosθ?

If sinθ = 1⁄√3, then tanθ is

The coordinates of the point dividing the line AB (-1, 2) and B (3, 4) externally in the ratio 3:2 is

The point P (4, 5) lies on the line joining A (1, 2) and B (-4, 7). The ratio AP:AB is

The ends of a diameter of a circle are (-2, 3) and (4, 7). The equation of the circle is

The centre and radius of the circle with the equation x² + y² - 2x + 6y + 5 = 0 are respectively

Evaluate $$\frac{log_{3}(0.04)}{log_{3}18 - log_{3}2}$$

Simplify $$\frac{1-x^2}{x-x^2}$$

When the expression pm² + qm + is divided by (m - 1), it has a remainder of 3 and when divided by (m + 1) the remainder is 4. Find p and q respectively.