UNILORIN General Paper - Science & Engineering 2012/2013 Past Questions

The range of the data k+2, k-6, k+4, k -2, k, k-5, k+3, k-1 and k+6 is

How many ways can the word ASSASSINATION be arranged taking all together?

In how many ways can 4 Latin and 1 English book be placed on a shelf English book is always in the middle selection being made from 7 Latin and 3 English books?

Find the eleventh term of the progression 4, 8,16, 32,...

One of the roots of the equation 6x² = 5 - 7x is

Evaluate ${x^2 - 2}/{2x^2 + x - 3}$ when x = -1

Evaluate the integral $∫(3x^2 - 4x - 1)dx$

If tan Ɵ= 3/5 , find the value of (5sinƟ + 2cosƟ) / (4cosƟ + 10sinƟ)

1f 1/3 of 4/5 of a certain number is 3. Find the number correct to four significant figures.

Evaluate (3.2)² - (1.8)²

Given log₁₀2.5 = 0.3979. evaluate log₁₀25 + 2log₁₀250

Evaluate ${0.21 × 0.072 × 0.00054}/{0.006 × 1.68 × 0.63}$ correct to four significant figures

Factorize the expression 2y² + xy - 3x²

A cliff of the bank of a river is 300 meters high if the angle of depression of a point on the opposition side of the river is 60°. Find the width of the river.

```The data below shows the number of workers employed in the various sections of construction Company in Lagos. use the information to answer questions 35 and 36. Carpenters (24), Labourers (27), Plumbers (12), Plasterers (15), Painters (9), Messengers (3). Bricklayers (18)```
one of the workers is absent certain day. what is the probability the is a bricklayer?

```The data below shows the number of workers employed in the various sections of construction Company in Lagos. use the information to answer questions 35 and 36. Carpenters (24), Labourers (27), Plumbers (12), Plasterers (15), Painters (9), Messengers (3). Bricklayers (18)```
a worker is retrenched. What is the probability that lie is a plumber or plasterer?

Solve the inequality 3m + 3 > 9

Solve the equation x² - 2x - 3 = 0

If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7. find the value of c

A trader bought goats for #4.000 each. He sold them for #180.000 at a loss of 25%. How many goats did he buy?

Which of the following processes will increase the size of the image in a pinhole camera?

If the angle of incidence of a ray of light on a plane mirror is 40°, the deviation of the incident ray after reflection is;

An image which can be formed on a screen is said to be

An object is placed 36cm from a converging lens of a focal length 24cm forms a real image which is (win high. What is the height of the object?

An object is placed 20.0cm from a Converging lens. If the real image formed is 80.0cm from the object, the focal length of the lens is:

When a ray of sunlight passes obliquely through a rectangular glass block,

The direction of a light ray changes as it passes from one medium to another. The phenomenon is called

The velocities of light in air and glass are 3.0 × 10⁸ms^-1 and 1.8 × 10⁸ms^-1 respectively. Calculate the sine of the angle of incidence that will produce an angle of refraction of 30° for a ray of light incident on glass.

A ray of light is incident at an angle of 30° on glass prism of refractive index 1.5. Calculate the angle through which the ray is minimally deviated in the prism. (The medium surrounding the prism is air)

For correcting long sight deflects in the human eye, we require a

What type of bonding exist between X and chlorine in each of the chlorides

The weakest attractive forces that can be Observed between two molecules is

X = 1s²2s¹; Y = 1s²2s²2p⁶3s²3p⁵ Which of the following statements is true of X and Y above

What volume of hydrogen at s.t.p will be produced when 48g of magnesium reacts completely with dilute hydrochloric acid according to the following equation? Mg + 2HCl₂ ⟶ MgCl₂ + H₂ (Mg = 24, 1 mole of H₂ occupies 22.4dm³ at s.t.p)

What volume of oxygen is produced from The decomposition of 2 moles of KClO₃ at s.t.p? (molar volume of a gas at s.t.p = 22.4dm³)

According to kinetic theory, an increase temperature causes the kinetic energy of particles to;

An acid is a substance which in the presence of water produces;

Which of the following is general method of preparing acid?

The loss of molecules of water crystallization to the atmosphere by some crystalline salts is known as

The following oxide reacts with both acids and bases to form salts except: