UNILAG Mathematics 2020/2021 Model 1 Past Questions

Find x if (X_base2)² = 100100_base2

Given the following set of marks: 30,34,43,47, 76, 58, 62, 59 and 68. Calculate the standard deviation.

A sum of money invested at 5% per annum simple interest amounts to N285.20 after 3yrs. How long will it take the sum to amount to N434.00 at 7 1/2% per annum simple interest?

Find the derivative of y = log_e(3x + 2)

Find K such that (K + $$\sqrt{3}$$)(1 - $$\sqrt{3}$$)² = 6 - 2$$\sqrt{3}$$

Find the remainder when 4x³ + 6x² + 3x + 2 is divided by 2x + 3

A teacher went to Kano for y days with Y naira. For the first x days he spent X naira per day, the amount he has to spent per day for the rest his stay is?

The quadratic equation whose roots are $$1-\sqrt{13}$$ and $$1+\sqrt{13}$$ is

The line y = kx-3 is perpendicular to the line 2y + 3x = 7. The value of k is

In the relation log_xy = z, Write x in terms of y and z

Solve the equation $$\sqrt{x+7}$$ = x - 5

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. After how many sessions does Ann swim 50 lengths for the first time?

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. Ann decides she will give herself a reward when she has swum a total of 400 lengths. After how many sessions does she get her reward?

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. If Ann asks her friend Joy to come swimming with her. Joy starts coming at Ann's 8th session. Joy starts to swim 15 lengths and increases the number of the lengths by 5 each time. After how many of Joy's sessions does she swim the same number of lengths as Ann?

A reception hall is arranged such that the first row contains 10 seats and each successive row has two more seats that the preceding row. The total number of seats in the first twelve rows is

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

A ship leaves a port P and sails 30km due South. It then sails due West until it reaches a location which is 60km from the port. What is the bearing of H from P?

Solve the inequality 7x-9≤-4x -13

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?