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Mathematics UTME / JAMB 1982 Statistics (Data Representation, Central Tendency & Dispersion)
A world congress of mathematicians were held in Nice in 1970 with 800 people participating. There were 300 from Europe, 200 from America, 150 from Asia, 45 from Africa and 105 from Australia. Representing the above on a pie chart, the angle of the sector representing the participants from Asia is?
A
150o
B
67\(\frac{1}{2}\)o
C
67o
D
135o
E
68o
medium Difficulty
Mathematics UTME / JAMB 1982 Fractions, Decimals, Percentages & Approximations
The diameter of a metal rod is measured as 23.40 cm to four significant figures. What is the maximum error in the measurement?
A
0.05cm
B
0.5cm
C
0.045cm
D
0.005cm
E
0.004cm
medium Difficulty
Mathematics UTME / JAMB 1982 Plane Geometry, Polygons & Circle Theorems
In a regular polygon of n sides, each interior angle is 144o. Find n
A
12
B
11
C
10
D
8
E
6F
medium Difficulty
Mathematics UTME / JAMB 1982 Plane Geometry, Polygons & Circle Theorems
Simplify \(\frac{3}{2x - 1}\) + \(\frac{2 - x}{x - 2}\)
A
\(\frac{2 - x}{(2x - 1)(x - 2)}\)
B
\(\frac{5 - x}{(2x - 1)(x - 2)}\)
C
\(\frac{4 - 2x}{2x - 1}\)
D
\(\frac{6 - 3x}{(2x - 1)(x - 2)}\)
medium Difficulty
Mathematics UTME / JAMB 1982 Linear, Simultaneous & Quadratic Equations
The solution to the quadratic equation 5 + 3x - 2x2 = 0 is
A
(\(\frac{5}{2}\), 1)
B
(5, 3)
C
-(\(\frac{5}{2}\), -1)
D
(\(\frac{5}{2}\), -1)
medium Difficulty
Mathematics UTME / JAMB 1982 Fractions, Decimals, Percentages & Approximations
A housewife bought 3 kilograms of garri at N13.00 per kg. She deposited N160. 00 for half a cow and bought 24 oranges at 10k each. She came back home with N20.60. She therefore left home with
A
N220.00
B
N222.00
C
N201.40
D
N202.00
E
N180.80
medium Difficulty
Mathematics UTME / JAMB 1982 Linear, Simultaneous & Quadratic Equations
The solution to the simultaneous equations 3x + 5y = 4, 4x + 3y = 5 is
A
(\(\frac{-13}{11}, \frac{1}{11}\))
B
(\(\frac{13}{11}, \frac{1}{11}\))
C
(\(\frac{13}{11}, \frac{-1}{11}\))
D
(\(\frac{11}{13}, \frac{1}{11}\))
E
(13, 11)
medium Difficulty
Mathematics UTME / JAMB 1982 Mensuration (Areas, Perimeters & Volumes)
The area of the curved surface of the cone generated by the sector of a circle radius 6cm and arc length 22cm is (\(\pi\) = \(\frac{22}{7}\))
A
58 sq.cm
B
34 sq.cm
C
132 sq.cm
D
77 sq.cm
E
66 sq.cm
medium Difficulty
Mathematics UTME / JAMB 1982 Mensuration (Areas, Perimeters & Volumes)
The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are
A
(21cm3, 3cm3)
B
(24cm3, 3cm3)
C
(24cm3, 21cm3)
D
(72cm3, 9cm3)
E
(63cm3, 9cm3)
medium Difficulty
Mathematics UTME / JAMB 1982 Plane Geometry, Polygons & Circle Theorems
Simplify f\(^{\frac{1}{2}}\)g\(^2\)h\(^{\frac{1}{3}}\) \(\div\) f\(^{\frac{5}{2}}\)g\(^o\)h\(^{\frac{7}{3}}\)
A
(\(\frac{g}{fh}\))2
B
f2g2h2
C
\(\frac{5}{4}\)goh\(\frac{7}{9}\)
D
\(\frac{g^2}{f^5h^7}\)
E
\(\frac{1}{f^2h^2}\)
medium Difficulty
Mathematics UTME / JAMB 1982 Fractions, Decimals, Percentages & Approximations
Determine the mean monthly salary of 50 employees of a company from the following frequency distribution. \(\begin{array}{c|c} \text{Monthly salary} & \text{Frequency}\\\hline N200.00 & 10\\ N325.00 & 5\\N100.00 & 20\\N120.00 & 2\\ N60.00 & 10\\ N80.00 & 3\end{array}\)
A
N215.30
B
N134.10
C
N143.10
D
N80.00
E
N50.30
medium Difficulty
Mathematics UTME / JAMB 1982 Plane Geometry, Polygons & Circle Theorems
If the function y = 5x is graphed, what would be its intercept on the y-axis?
A
5
B
\(\frac{1}{5}\)
C
1
D
2
E
zero
medium Difficulty
Mathematics UTME / JAMB 1982 Plane Geometry, Polygons & Circle Theorems
A side of a rhombus is 2cm in length. An angle of the rhombus is 60o. What is the length of the diagonal facing this angle?
A
2cm
B
8cm
C
4cm
D
2\(\sqrt{3}\)cm
E
16cm
medium Difficulty
Mathematics UTME / JAMB 1982 Variations
A variable y is inversely proportional to x\(^2\), when y = 10, x = 2. What is y when x = 10?
A
2
B
4
C
100
D
0.4
E
0.1
medium Difficulty
Mathematics UTME / JAMB 1982 Fractions, Decimals, Percentages & Approximations
Two distinct sectors i the same circle substend 100o and 30o respectively at the centre of the circle. Their corresponding arcs are in ratio
A
10:3
B
1:100
C
3:1
D
5:2
medium Difficulty
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