UNILAG Mathematics 2018/2019 Model 1 Past Questions

Four members of a social first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?

A University undergraduate has to take 5 courses from a pool of a 4 mathematics and 3 physics courses. In how many ways can he select his courses so that he takes exactly two courses in Physics?

The probability that a number selected at random from 1 to 40 is a multiple of 7 is

Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 1 red identical balls. The probability of picking 2 blue and 1 red ball.

A ball is selected and replaced in a bag containing blue, green and red identical balls. The results of 50 selections are show below. Colour of hall Blue Green Red No. of occurrence 8 15 27. The experimental probability of picking either a blue or a red bull is

What is the least positive integer that is divisible by both 2 and 5 and leaves a remainder of 2 when divided by 7?

A student's test scores on the first of six examinations to be given during the semester are tabulated below: Test number 1 2 3 4 5 6 Scores 75 86 75 68 85? What must the student score in the last examination to make his average for the semester 81?

A workers present salary is N24,000 per annum. His annual increment is 10% of his basic salary. What would be his annual salary at the beginning of the third year?

Determine correctly to the nearest kobo the monthly instalment on a loan of N12,500 at 6% for 30years

The data below shows the distribution of workers in a certain secondary school. Teacher 30, Gardener 15, Typist 9, Cleaners 6, Clerks 12, Messengers 3. If one of the workers is absent from work on one particular day, the probability that he is a clerk is

Which of the following inequalities is equivalent to -2(x+5)<4?

How many prime numbers are there between 30 and 50?

The number whose logarithm to base 10 is 1.5 is

A bag contains 5 red balls and 3 green balls. Two balls are picked, one after the other, with replacement. The probability that both are the same colour is

Which of the following represents the largest amount money?

Mr Dede earns a commission of N150 on sale of N3,600. At this time, How much commission will he earn on sales of ₦7,200?

The chances of occurrence of two, X and Y out of three independent events X, Y and Z are 1/3, and 2/5 respectively. What are the chances of occurrence of only Y and Z?

Two perpendicular lines PQ and QR intersect at (1,1), if the equation of PQ is x-2y+4 = 0. Find the equation of QR

The Length of a notebook 15cm was measured as 16.8cm. Calculate the percentage error to 2 significant figures

The distance between the point (6,5) and the point of intersection of the lines x + y = 4 and x - y = 2 is