UNIVERSITY OF LAGOS 2006 MATHEMATICS POST-UTME PAST QUESTIONS

UNIVERSITY OF LAGOS
2006 POST-UTME
MATHEMATICS

1. If
n P 3 = 6
n C 2
find the value of n
A. 6
B. 3
C. 5
D. 1

2. Express
3x – 1
(x + 1)(x – 3)
as partial fractions
A. 1/(x + 1) + 2/(x – 3)
B. 2/(x + 1) – 1(x – 3)
C. 2/(x + 3) + 1(x – 1)
D. 1(x – 1) + 2(x – 3)

3. T he letters of the word “MATRICULATION” are cut and put in a box. One letter is drawn at random from the box. Find the probability if a vowel is drawn
A. 7/13
B. 3/13
C. 6/13
D. 4/13

4. T he sum to infinity of a Geometric progression is 100. Find its first term if the common ratio is 1/4
A. 75
B. 70
C. 65
D. 60

5. D ivide x 3 + 64x 2 by x + 4
A. x 2 + 4x – 16
B. x 2 – 4x + 16
C. x(4 -x 3 )
D. x 2 + 4x + 16

6. F ind x if (x base2 ) 2 = 100100 base2
A. 6
B. 100
C. 12
D. 110

7. T wo distinct sectors in the same circle subtend 100 0 and 30 0 respectively at the centre of the circle. Their corresponding arcs are in the ratio
A. 1 : 100
B. 3 : 1
C. 5 : 2
D. 10 : 3

8. A steel ball of radius 1cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, whatis the volume of the water in the cylinder?

N:B ’22/7′ represents ‘pi’
A. 44(22/7) / 3cm 3
B. 12(22/7)cm 3
C. 40(22/7)cm 3 / 3
D. 32(22/7)cm 3

9. PQRS is a cyclic quadrilateral with PQ as diameter of the circle. IfIf You appreciate the VNTI efforts toward improving academic excellence, don’t hesitate to share this using the SHARE button below and join us for future updates using the JOIN US ON FACEBOOK/TWITTER LINK at the top.

Thanks.
VNTI ̈́ ͂ ̷̐ ̈́ ̈́ ͂

Leave a Reply Or A Question