2024 - JAMB Mathematics Past Questions and Answers - page 4
31
Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)
A
\(\frac{1 - \sqrt5}{2}\)
B
\(\frac{1 - \sqrt5}{4}\)
C
\(\frac{\sqrt5 - 1}{2}\)
D
\(\frac{1 + \sqrt5}{4}\)
32
Find the standard deviation of 2, 3, 8, 10, and 12.
A
3.9
B
4.9
C
5.9
D
6.9
33
Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.
A
3.92cm3
B
2.13cm3
C
1.97cm3
D
1.62cm3
34
A basket contains 9 apples, 8 bananas and 7 oranges. A fruit is picked from the basket, find the probability that it is neither an apple nor an orange.
A
\(\frac{3}{8}\)
B
\(\frac{1}{3}\)
C
\(\frac{7}{24}\)
D
\(\frac{2}{3}\)
35
Simplify \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)
A
\(1\frac{1}{4}\)
B
\(1\frac{1}{6}\)
C
\(\frac{5}{6}\)
D
\(\frac{4}{5}\)
36
If P is the set of all prime factors of 30 and Q is the set of all factors of 18 less than 10, find P ∩ Q.
A
{3}
B
{2,3}
C
{2,3,5}
D
{1,2}
37
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
A
1
B
2
C
3
D
4
38
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
A
\(\sqrt{13}\)
B
\(3\sqrt{2}\)
C
\(\sqrt{26}\)
D
\(10\sqrt{5}\)
39
If x varies directly as the square root of y and x = 81 when y = 9, find x when y = \(1\frac{7}{9}\).
A
20\(\frac{1}{4}\)
B
27
C
2\(\frac{1}{4}\)
D
36
40
In the diagram given, find the value of x.
A
30o
B
40o
C
45o
D
15o
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