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Some questions from UNILAG post UTME past questions from Mathematics

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************ NOTE: THE CORRECT OPTIONS ARE IN BOLD TEXT *************

## UNILAG Post UTME Past Questions

1. As a general rule, ___ is the best measure of central tendency because it is more precise

**(a) Mean**

**(b) **Median

**(c) **Mode

**(d) **Range

2. The most frequently occurring number in a set of values is called the

(a) Mean

(b) Median

**(c) Mode**

(d) Range

3. A rectangular box with a square base and no top has a volume of 500 cm, the dimensions of the box that require the least amount of material are

(a) 10x10x5cm

**(b) 4x5x25cm**

(c) 50x5x2cm

(d) 25x10x2

(e) 10x50x1

4. The roof of shelter is made from a piece of corrugated iron 2.3m long inclined at 18º to the horizontal. How far from the wall does the roof stick out?

**(a) 0.7m**

**(b) **2.2m

**(c) **1.1m

**(d) **1.2m

**(e) **2.1m

- A ladder 20m long rests against a vertical wall so that the foot of the ladder 9m from the wall. The height (correct to 1 decimal place above the ground at which the upper end of the ladder touches the wall is

(a) 19.7m

(b) 18.1m

(c) 18.7m

(d) 17.1m

**(e) 17.9m**

- A chord 6.6m long is 5.6m from the center of a circle. The radius of the circle is

(a) 3.2m

(b) 6.3m

**(c) 6.5m**

(d) 1.6m

(e) 2.56m

- The heights in cm, of 10 children are 145, 163, 159, 162, 167, 149, 150, 160, 170, and 155. The mean height of the children is

(a) 156cm

**(b) 158cm**

(c) 160cm

(d) 162cm

(e) 159cm

- The heights in cm, of 10 children are 145, 163, 159, 162, 167, 149, 150, 160, 170, and 155. The standard deviation of the heights of the children is

(a) 5.5cm

(b) 5.7cm

(c) 6.5cm

(d) 6.7cm

**(e) 7.7cm**

- A class of all possible subsets of space S is called

**(a) Universal set**

**(b) **alpha – field

**(c) **sample space

**(d) **probability space

**(e) **random space

- One of these is a demerit of a sample

(a) It is cheaper to enumerate a sample

(b) It is faster to survey a sample

(c) Results obtained from the sample are oftentimes as informative as those from a sensor

(d) All of the above

**(e) None of the above**

11. One of these is not a desirable feature of a good statistical table

(a) A table must reveal salient features of data

(b) A table must clearly communicate information in a neat and concise form

**(c) A table must be self-sufficient**

(d) A table must be self-explanatory

(e) None of the above

12. Which of these is a measure of location

**(a) Mean**

**(b) **Standard deviation

**(c) **Variance

**(d) **All of the above

**(e) **None of the above

13. Statistics is a set of tools whose proper use will …….. the decision maker

(a) Completely fill the needs of

(b) Encumber

**(c) Aid**

(d) Confuse

(e) None of the above

14. The graph of a cumulative frequency distribution is called

(a) Frequency polygon

(b) Frequency distribution curve

(c) Frequency curve

(d) Step function

**(e) Ogive**

15. A ……… variation is one whose values convey the concept of attribute rather

than number

(a) Quantitative

**(b) Qualitative**

(c) Discrete

(d) Continuous

(e) None of the above

16. A company employs 100 people, 65 of whom are men. 60 people including all

the women are paid weekly. The number of men that are paid weekly is

(a) 35

(b) 40

**(c) 25**

(d) 30

(e) None of the above

17. In a survey of villagers, it is found that 20% of the people have visited Kano and

25% have visited Port Harcourt. If 5% have been to both cities, then the percentage

that have visited neither Kano nor Port Harcourt is

(a) 75%

(b) 65%

(c) 50%

**(d) 60%**

(e) 70%

18. The length of a rectangle is three times its width. If the perimeter is 72 cm, the width of the rectangle is

(a) 6cm

(b) 8cm

**(c) 9cm**

(d) 10cm

(e) 11cm

19. A frustum of a pyramid is 3cm square at the top and 6cm square at the bottom

and is 5cm high. The volume in cm3 of the frustum is

(a) 15

(b) 150

**(c) 105**

(d) 115

(e) 36

20. If x = 2, then (x – 1)(2x – 3) =

**(a) 1**

**(b) **3

**(c) **-1

**(d) **0

**(e) **-3

21. What is sin30?

**(a) ½**

(b) 3/2

(c) 0.866

(d) 1

(e) 2

22. Given the list of numbers {1, 6, 3, 9, 16, 11, 2, 9, 5, 7, 12, 13, 8}, what is the

median?

(a) 7

(b) **8**

(c) 9

(d) 11

(e) 6

23. What is the slope of the line that is perpendicular to y – 2x = 1?

(a) 2

(b) -2

(c) ½

**(d) -½**

(e) 1

24. What is the sum of the first 40 even positive integers?

(a) 1,600

(b) 1,560

(c) 820

**(d) 1,640**

(e) 400

25. What is the length of an arc of a circle with a radius of 5 if it subtends an angle

of 60° at the center?

(a) 3.14

**(b) 5.24**

(c) 10.48

(d) 2.62

(e) 4.85

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