MATHEMATICS: 22 QUESTIONS | 10 MINUTES | 100 MARKS 1. Find | 𝙵𝚁𝙴𝙴 𝚃𝚄𝚃𝙾𝚁𝙸𝙰𝙻𝚂👨🏿‍💻 𝙲𝙰𝚂𝙷𝙾𝚄𝚃

MATHEMATICS:

22 QUESTIONS | 10 MINUTES | 100 MARKS


1. Find the radius of a sphere whose surface area is 154 cm²
A. 7.00 cm
B. 3.50 cm
C. 3.00 cm
D. 1.75 cm

2. Simplify ( 7/2 + 13/3 ) ÷ ( 5/6 - 2/3 )
A. 1 1/4
B. 8 1/3
C. 35
D. 47

3. In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36
A. N8976
B. N5049
C. N140.25
D. N31.17

4. If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log ( 28/3)
A. 2x + y - z
B. 2x + x - y
C. x + y - 2x
D. x + x - y

5. What is the value of *p* if the gradient of the line joining (-1,p) and (p,4) is 2/3 ?
A. -2
B. -1
C. 1
D. 2

6. What is the value of r if the distance between the points (4,2) and (1, r) is 3 units?
A. 1
B. 2
C. 3
D. 4

7. If y = 3 cos 4x, *find dy/dx*
A. 6 sin 8x
B. -24 sin 4x
C. 12 sin 4x
D. -12 sin 4x

8. If S = (2 + 3t)(5t - 4), *find dy/dx when t = 4/5* sec
A. 0 units per sec.
B. 15 units per seconds
C. 22 units per seconds
D. 26 units per seconds

9. . 5, 8, 6 and k occurs with frequencies 3, 2, 4 and 1 respectively and have a mean of 5.7. *Find the value of k*
A. 4
B. 3
C. 2
D. 1

10. The probability of a student passing any examination is 2/3. If the student takes WASSCE, UTME & POST UTME examinations, *what is the probability that he will not pass any of them?*
A.2/3
B.4/9
C.8/27
D.1/27

11. In how many ways can 9 people be seated if Only 3 chairs are available ?
A. 720
B. 504
C. 336
D. 210

12. What is the mean deviation of x, 2x, x + 1 and 3x, if their mean is 2?
A. 0.5
B. 1.0
C. 1.5
D. 2.0

13. Find the average of first 97 natural numbers.
A. 47
B. 37
C. 48
D. 49

14. The average of 80 numbers are 42. When 5 more numbers are included, the average of 85 numbers become 45. Find the average of 5 numbers.
A. 82
B. 89
C. 93
D. 98

15. What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
A. 1 : 3
B. 1 : 4
C. 2 : 3
D. 1:2

16-. A triangle has vertices X(-1,6), Y(-3, -4) and Z(1, -4).Find the midpoint of XY and YZ respectively.
A. (0,-2) and (-1, -4)
B. (-1,0) and (-1,-1)
C. (-2,1) and (0,1)
D. (-2,1) and (-1,-4)

17. Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
A. 6
B. 7
C. 8
D. 9

18. Which of the numbers is not allowed in Binary representation of a number?
A. 0
B. 1
C. 2
D. None of the above

19. If determinant of a matrix A is Zero then
A. A is a Singular matrix
B. A is a non-Singular matrix
C. Can’t say
D. None of the mentioned

20. If a, b, c are in AP then relation between a, b, c can be
A. 2b = 2a + 3c
B. 2a = b + c
C. 2b = a + c
D. 2c = a + c

21. The longest chord in a circle is known as
A. diameter
B. radius
C. area
D. midpoint

22. 1st quartile is also known as
A. lower quartile
B. upper quartile
C. median
D. geometric mean

Choose the option that Bests describes the range of your 2021 UTME SCORE GOAL ?
A. No Goal, I will not come & kill myself
B. ≥200
C. ≥250
D. ≥350

One of these Best describes your Present level of preparedness for the 2021 UTME ?
A. Above 80 %
B. Below 20%
C. Above 50 %
D. Above 20 %
E. I can't say *