Express \(\frac{7}{19}\) as a percentage, correct to one decimal place
Відповідь
(D)
36.8%
2
Express 398753 correct to three significant figures
Відповідь
(D)
399000
3
simplify \(\frac{10}{\sqrt{32}}\)
Відповідь
(A)
\(\frac{5}{4}\sqrt{2}\)
4
Find the missing number in the addition of the following numbers, in base seven
\(\begin{matrix}
4 & 3 & 2 & 1\\
1 & 2 & 3 & 4\\
* & * & * & *\\
1&2&3&4&1
\end{matrix}\)
Відповідь
(A)
3453
5
What fraction must be subtracted from the sum of \(2\frac{1}{6}\) and \(2\frac{7}{12}\) to give \(3\frac{1}{4}\)?
The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men
Відповідь
(C)
108 years
10
Given that \(log_4 x = -3\), find x.
Відповідь
(B)
\(\frac{1}{64}\)
11
Given that the logarithm of a number is \(\bar{1}.8732\), find, correct to 2 significant figures the square root of the number.
Відповідь
(C)
0.86
12
A car moves at an average speed of 30kmh\(^{-1}\), how long does it take to cover 200 meters?
Відповідь
(B)
24 sec
13
A man bought a television set on hire purchase for N25,000, out of which he paid N10,000, if he is allowed to pay the balance in eight equal installments, find the value of each installment.
Відповідь
(C)
N1875
14
A tree is 8km due south of a building. Kofi is standing 8km west of the tree. How far is Kofi from the building?
Відповідь
(C)
8√2km
15
A tree is 8km due south of a building. Kofi is standing 8km west of the tree. Find the bearing of Kofi from the building
Відповідь
(C)
225o
16
Which of the following bearings is equivalent to S50°W?
Відповідь
(D)
230o
17
In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10m and |BC| = 5m, calculate the angle of depression of C from A
Відповідь
(B)
60o
18
The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students scored 4 marks and above?
Відповідь
(D)
17
19
The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students took the test?
Відповідь
(B)
32
20
Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2
Відповідь
(C)
1.8
21
The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination
Відповідь
(A)
\(\frac{1}{10}\)
22
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangle into two congruent triangles. II. A rectangle has four lines of symmetry III. The diagonals intersect at right angles
Відповідь
(D)
II and III only
23
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
Відповідь
(D)
50o
24
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
Відповідь
(B)
150o
25
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
Відповідь
(B)
\(65^{\circ}\)
26
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
Відповідь
(D)
100o
27
Given that \(x = -\frac{1}{2}and \hspace{1mm} y = 4 \hspace{1mm} evaluate \hspace{1mm} 3x^2y+xy^2\)
Відповідь
(A)
-5
28
Given that \(27^{(1+x)}=9,)\ find x
Відповідь
(B)
\(\frac{-1}{3}\)
29
If x varies inversely as y and \(x = \frac{2}{3}\) when y = 9, find the value of y when \(x=\frac{3}{4}\)
Відповідь
(D)
8
30
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
Відповідь
(C)
x - 2
31
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
Відповідь
(B)
\(\frac{-2}{x+3}\)
32
Form an inequality for a distance d meters which is more than 18m, but not more than 23m
Відповідь
(B)
18 < d ≤ 23
33
Find the equation whose roots are -8 and 5
Відповідь
(D)
\(x^2 + 3x - 40=0\)
34
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
Відповідь
(B)
\(\frac{rk^2+pm^2}{m^2}\)
35
Solve the equation \(3y^2\) = 27y
Відповідь
(B)
y = 0 or 9
36
Find the value of x such that the expression \(\frac{1}{x}+\frac{4}{3x}-\frac{5}{6x}+1\) equals zero
Відповідь
(C)
\(\frac{-3}{2}\)
37
Given that p varies directly as q while q varies inversely as r, which of the following statements is true?
Відповідь
(B)
p varies inversely as r
38
In the diagram, PQS is a circle with center O. RST is a tangent at S and ∠SOP = 96o. Find ∠PST
Відповідь
(B)
48o
39
A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]
Відповідь
(C)
25
40
The height of a pyramid on square base is 15cm. if the volume is 80cm^3, find the area of the square base.
Відповідь
(C)
16cm2
41
A tap leaks at the rate of 2cm\(^3\) per seconds. How long will it take the tap to fill a container of 45 liters capacity? (1 liters = 1000cm\(^3\))
Відповідь
(B)
6hr 15min
42
The length of the parallel sides of a trapezium are 5cm and 7cm. If its area is 120cm\(^2\), find the perpendicular distance between the parallel sides
Відповідь
(D)
20.0cm
43
The arc of a circle 50 cm long, subtends angle of 75° at the center of the circle. Find correct to 3 significant figures, the radius of the circle. Take \(\pi = \frac{22}{7}\)
Відповідь
(B)
38.2cm
44
In the diagram, |PQ| = |PS| Which of the following statements is true?
Відповідь
(D)
∠PQR=∠PSR
45
The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]
