Evaluate \(\frac{21}{9}\) to 3 significant figures
Одговорити
(D)
2.33
4
A man earns N3,500 per month out of which he spends 15% on his children's education. If he spends additional N1,950 on food, how much does he have left?
If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q
Одговорити
(B)
{2,3}
9
In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?
Одговорити
(A)
1
10
Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)
Одговорити
(A)
\(\frac{1}{c}(\frac{w - 2v}{v + w})\)
11
Find the remainder when 2x3 - 11x2 + 8x - 1 is divided by x + 3
Одговорити
(D)
-178
12
Solve for x and y in the equations below
x2 - y2 = 4
x + y = 2
Одговорити
(C)
x = 2, y = 0
13
If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)
Одговорити
(C)
\(\frac{8}{3}\)
14
U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3
Одговорити
(A)
24
15
The value of y for which \(\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5}\) is
Одговорити
(C)
\(y > -\frac{2}{3}\)
16
Find the range of values of m which satisfy (m - 3)(m - 4) < 0
Одговорити
(C)
3 < m < 4
17
The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms.
Одговорити
(D)
-25
18
The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.
Одговорити
(B)
\(-\frac{1}{4}\)
19
The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4)
Одговорити
(B)
13
20
The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5
Одговорити
(A)
\(-\frac{4}{5}\)
21
If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x
Одговорити
(C)
5
22
Given that I3 is a unit matrix of order 3, find |I3|
Одговорити
(C)
1
23
The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.
Одговорити
(D)
36o
24
Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.
Одговорити
(D)
1.62cm3
25
The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is
Одговорити
(C)
\(-\frac{4}{7}\)
26
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
Одговорити
(B)
\(3\sqrt{2}\)
27
Find the equation of the line through the points (-2, 1) and (-\(\frac{1}{2}\), 4)
Одговорити
(B)
y = 2x + 5
28
If angle \(\theta\) is 135o, evaluate cos\(\theta\)
Одговорити
(C)
\(-\frac{\sqrt{2}}{2}\)
29
If y = x2 - \(\frac{1}{x}\), find \(\frac{\delta y}{\delta x}\)
Одговорити
(D)
2x + \(\frac{1}{x^2}\)
30
Evaluate \(\int^2_1(x^2 - 4x)dx\)
Одговорити
(D)
\(-\frac{11}{3}\)
31
Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)
Одговорити
(A)
1
32
The mean of seven numbers is 96. If an eighth number is added, the mean becomes 112. Find the eighth number.
Одговорити
(D)
224
33
Find the median of 2,3,7,3,4,5,8,9,9,4,5,3,4,2,4 and 5
Одговорити
(D)
4
34
Find the range of 4,9,6,3,2,8,10 and 11
Одговорити
(B)
9
35
Find the standard deviation of 2,3,8,10 and 12
Одговорити
(A)
3.9
36
Evaluate n+1Cn-2 If n =15
Одговорити
(D)
560
37
In how many ways can the letters of the word TOTALITY be arranged?
Одговорити
(A)
6720
38
The probability that a student passes a physics test is \(\frac{2}{3}\). If he takes three physics tests, what is the probability that he passes two of the tests?
Одговорити
(C)
\(\frac{4}{27}\)
39
The probabilities that a man and his wife live for 80 years are \(\frac{2}{3}\) and \(\frac{3}{5}\) respectively. Find the probability that at least one of them will live up to 80 years
Одговорити
(D)
\(\frac{13}{15}\)
40
The shaded region above is represented by
the equation
Одговорити
(C)
y ≤ -4x + 4
41
In diagram above, QR//TU, < PQR = 80° and < PSU = 95°. Calculate < SUT.
Одговорити
(A)
15o
42
In the diagram above, PQR is a circle centre O. If < QPR is x°, find < QRP.
Одговорити
(B)
(90 – x)°
43
Find the area of the trapezium above.
Одговорити
(C)
60 cm2
44
The grades of 36 students in a class test are as shown in the pie chart above. How many students have excellent?
Одговорити
(D)
7
45
The bar chart above shows the distribution of marks in a class test. If the pass mark is 5, what percentage of students failed the test?
