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Mathematics
UTME / JAMB 2016
Number and Numeration
Diagram
Solution
The venn diagram shows a class of 50 students with the games they play. How many students play only two games?
Attached Figure / Diagram
A
15
B
16
C
20
D
18
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Number of students that plays only two games = 4 + 8 + 3 = 15
Source: WAEC / JAMB / NECO Classroom Archive (Record #44756)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?
A
45
B
10
C
35
D
30
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
80 - x + x + 60 - x + 20 = 150
160 - x = 150
x = 160 - 150 = 10
Source: Myschool Past Questions Archive (Record #44747)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
If the 2nd term of a G.P is \(\frac{8}{9}\) and the 6th term is 4\(\frac{1}{2}\). Find the common ratio.
A
2
B
\(\frac{3}{2}\)
C
\(\frac{2}{3}\)
D
3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
T2 = \(\frac{8}{9}\), T6 = 4\(\frac{1}{2}\)
ar = \(\frac{8}{9}\)
ar5 = \(\frac{9}{2}\)
\(\frac{ar}{ar^5}\) = \(\frac{8}{9}\) x \(\frac{2}{9}\)
\(\frac{1}{r^4}\) = \(\frac{16}{81}\)
r = \(\sqrt[4]{\frac{18}{16}}\) = \(\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #44748)
Mathematics
UTME / JAMB 2016
Number and Numeration
Diagram
Solution
From the diagram above, find the value of < OTQ
Attached Figure / Diagram
A
230o
B
55o
C
115o
D
65o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
o
Source: Myschool Past Questions Archive (Record #44749)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w.
A
7
B
3
C
6
D
5
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
P = 5x + 3, P = wx + 5
M1 = 5, M2 = w
M1 = M2 (parallel lines)
w = 5
Source: Myschool Past Questions Archive (Record #44768)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
If x10 = 235. Find x
A
15
B
12
C
14
D
13
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
x10 = 235
x10 = 2 x 51 + 3 x 50
= 10 + 3
= x10 = 13
Source: Myschool Past Questions Archive (Record #44770)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.
A
32
B
36
C
33
D
40
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Range = 34 - (-6) = 34 + 6 = 40
Source: Myschool Past Questions Archive (Record #44772)
Mathematics
UTME / JAMB 2016
Number and Numeration
Diagram
Solution
The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday?
Attached Figure / Diagram
A
17
B
22
C
20
D
16
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No of visitors = 10 + 5 + 1 = 16
Source: Myschool Past Questions Archive (Record #44773)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Factorize k2 - 2kp + p2.
A
(k +p)2
B
(k - p)2
C
k2 + p2
D
k2 - p2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
k2 - 2kp + p2 = (k - p)2
Source: Myschool Past Questions Archive (Record #44774)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.
A
{1, 3, 5, 7, 9, 11, 13, 15}
B
{2, 3, 5, 7, 9, 11, 13}
C
{1, 3, 5, 7, 9, 11, 13}
D
{2, 3, 5, 7, 11, 15}
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
U = {1, 2, 3, 4, 5......14}
P = {2, 4, 6, 8, 10, 12, 14}
P' = {1, 3, 5, 7, 9, 11,13}
Source: Myschool Past Questions Archive (Record #44777)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?
A
15
B
25
C
30
D
50
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Let x represent total number of pencils shared
B : S : T
2 : 3 : 5
2+3+5 = 10
\(\frac{2}{10}\) x x = 5
\(\frac{2x}{10}\) = 5
2x = 50
x = 25
Source: Myschool Past Questions Archive (Record #44828)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Evaluate \(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
A
\(\frac{23}{5}\)
B
-\(\frac{23}{5}\)
C
-\(\frac{1}{8}\)
D
\(\frac{21}{7}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\)
\(\frac{27^\frac{1}{3} - 8^\frac{2}{3}}{16^\frac{2}{4} \times 2}\) = \(\frac{3\sqrt{27} - 3\sqrt{8}^2}{\sqrt{16} \times 2}\)
\(\frac{3 - 4}{4 \times 2}\)
= \(\frac{-1}{8}\)
Source: Myschool Past Questions Archive (Record #44830)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Find \(\frac{dy}{dx}\), if y = \(\frac{2}{3}\) x\(^3\) - \(\frac{4}{x}\)
A
3x2 - \(\frac{4}{x}\)
B
2x2 +\(\frac{4}{x^2}\)
C
3x2 + \(\frac{4}{x^2}\)
D
2x2 - \(\frac{4}{x}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
y = \(\frac{2}{3}\)x\(^3\) - \(\frac{4}{x}\)
\(\frac{dy}{dx}\) = 2x\(^2\) - (-4)x\(^{-2}\) = 2x\(^2\) + \(\frac{4}{x^2}\)
Source: Myschool Past Questions Archive (Record #44832)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Evaluate \(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\). Correct to four significant figures.
A
14.09
B
14.1
C
14.12
D
14.11
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{0.8 \times 0.43 \times 0.031}{0.05 \times 0.72 \times 0.021}\) x \(\frac{10}{10}\) = 14.11
Source: Myschool Past Questions Archive (Record #44833)
Mathematics
UTME / JAMB 2016
Number and Numeration
Solution
Evaluate \(\frac{12.02 \times 20.06}{26.04 \times 60.06}\), correct to three significant figures.
A
0.157
B
0.154
C
0.155
D
0.158
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{12.02 \times 20.06}{26.04 \times 60.06}\) = \(\frac{241.1212}{15698.96}\) = 0.154
Source: Myschool Past Questions Archive (Record #44848)