Express \(\frac{7}{19}\) as a percentage, correct to one decimal place
отговор
(D)
36.8%
2
Express 398753 correct to three significant figures
отговор
(D)
399000
3
simplify \(\frac{10}{\sqrt{32}}\)
отговор
(A)
\(\frac{5}{4}\sqrt{2}\)
4
Find the missing number in the addition of the following numbers, in base seven
\(\begin{matrix}
4 & 3 & 2 & 1\\
1 & 2 & 3 & 4\\
* & * & * & *\\
1&2&3&4&1
\end{matrix}\)
отговор
(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
отговор
(C)
108 years
10
Given that \(log_4 x = -3\), find x.
отговор
(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.
отговор
(C)
0.86
12
A car moves at an average speed of 30kmh\(^{-1}\), how long does it take to cover 200 meters?
отговор
(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.
отговор
(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?
отговор
(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
отговор
(C)
225o
16
Which of the following bearings is equivalent to S50°W?
отговор
(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
отговор
(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?
отговор
(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?
отговор
(B)
32
20
Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2
отговор
(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
отговор
(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
отговор
(D)
II and III only
23
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.
отговор
(D)
50o
24
Each side of a regular convex polygon subtends an angle of 30° at its center. Calculate each interior angle
отговор
(B)
150o
25
If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.
отговор
(B)
\(65^{\circ}\)
26
In the diagram, POS and ROT are straight lines, OPQR is a parallelogram. |OS| = |OT| and ∠OST = 50°. Calculate ∠OPQ.
отговор
(D)
100o
27
Given that \(x = -\frac{1}{2}and \hspace{1mm} y = 4 \hspace{1mm} evaluate \hspace{1mm} 3x^2y+xy^2\)
отговор
(A)
-5
28
Given that \(27^{(1+x)}=9,)\ find x
отговор
(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 \(x=\frac{3}{4}\)
отговор
(D)
8
30
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor
отговор
(C)
x - 2
31
Simplify \(\frac{1}{x-3}-\frac{3(x-1)}{x^2 - 9}\)
отговор
(B)
\(\frac{-2}{x+3}\)
32
Form an inequality for a distance d meters which is more than 18m, but not more than 23m
отговор
(B)
18 < d ≤ 23
33
Find the equation whose roots are -8 and 5
отговор
(D)
\(x^2 + 3x - 40=0\)
34
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
отговор
(B)
\(\frac{rk^2+pm^2}{m^2}\)
35
Solve the equation \(3y^2\) = 27y
отговор
(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
отговор
(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?
отговор
(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
отговор
(B)
48o
39
A bicycle wheel of radius 42cm is rolled over a distance 66 meters. How many revolutions does it make?[Take \(\pi = \frac{22}{7}\)]
отговор
(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.
отговор
(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\(^3\))
отговор
(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
отговор
(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 \(\pi = \frac{22}{7}\)
отговор
(B)
38.2cm
44
In the diagram, |PQ| = |PS| Which of the following statements is true?
отговор
(D)
∠PQR=∠PSR
45
The area of a circle is 38.5cm2. Find its diameter [take \(\pi = \frac{22}{7}\)]
