1.
A bucket in the form of a truncated cone of end radii 14cm and 21cm, and height of 30cm.
What is the capacity of the bucket?
2.
Choose the word that best completes the sentence:
Forty cents _____ a great bargain for a doll.
3.
The expression
(x² - 6x + 9)/x(x² - 9) is undefined for
4.
The speed of 144 km/hr, expressed in metres per second is
5.
If the mean of the numbers 6, 8, 10, x, 2x - 2 is 14. What is the largest number in the group?
7.
Two locations on the equator are on longitudes 20°W and 70°E respectively.
If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures is
8.
If sin-¹(0.966) = 75°,
then sin-¹(-0.966) equals
9.
A sector of a circle of radius 14 cm which subtends an angle of 120° at the center is bent to form a cone.
The base radius of the cone is
10.
Class interval: 10-19 20-29 30-39 40-49
Frequency: 2 4 3 1
What is the modal score?
11.
What is the common factor to the expressions
y²-y,
2y²+y-1 and
y²-1 ?
12.
Solve the equation
4sinθ - 1 = -3
for 0° < θ < 2π
13.
If U = {integers x: 0 < x < 10}
P = {prime numbers y: 0 < y < 10}, and
Q = {odd numbers z: 0 < z < 10}
then P' ∩ Q' is
14.
In a test conducted on the three arms of a class, class A with 30 students scored an average of 5.5 marks, class B with 25 students scored an average of 6.4 marks and class C got an average of 6.25 marks.
If the average mark for the whole class is 6.0, find the number of students in class C.
15.
A die is rolled 100 times with the following outcomes:
Number 1 2 3 4 5 6
Frequency 15 20 18 14 17 16
The experimental probability of obtaining at most 4 is
16.
The difference in longitude between
P(55°N, 12°W) and Q(15°S, 65°W) is
17.
To increase the surface area of a sphere by 69%, the percentage increase in diameter should be
18.
Correct each of the numbers 38.7152 and 0.05381 to two significant figures and find their product , correct to two significant figures.
20.
The prime factors of 1260 are
21.
Two men and six boys can cut a field in 3 hours.
If the men work at 3/2 times that of the boys, how many men are required to cut the field in 2hrs?
22.
In a game involving two dice, Kamsi will win if she throws at least one six, or the sum of the numbers is 10.
The probability of Kamsi winning at the next throw is
23.
Correct adjectival order?
A plastic black bag.
24.
The second term of an infinite geometric series is -1/2 and the third term is 1/4.
The sum of the series is
25.
A parallelogram of area 425 cm² has a height of 17cm.
The length of the base is
26.
All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°.
The angle subtended at the centre of the circle by the base of the triangle is
27.
The twelfth term of the sequence
(x - a), x, (x + a), ... is
28.
An arc of length 22 cm subtends an angle of 270° at the center of the circle.
If π = 22/7,
the radius of the circle is
29.
A bag contains 4 red, 8 green and 6 blue ball of identical size.
The probability that a ball selected randomly is either red or green is
30.
A G.P has a common ratio of 3. If the difference between the 1st term and 5th term is 160, the 5th term is
31.
Evaluate:
27.63² - 22.37²
32.
Choose the word that best completes the sentence:
We need to find a new site with _________ access to the European motorway network.
33.
A cone of height 12 cm has a volume of 616 cm³,
If π = 22/7,
the radius of the cone is
34.
Choose the word that best completes the sentence:
Each of our staff members _____ to fill in an evaluation form.
35.
Find the percentage error, correct to 1 decimal place, in the area of a square which has its side measured as 2.1cm instead of the actual 2.0cm.
36.
Jasmin invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively.
How much did she invest at 7% if she received a total of $11,600?
37.
Factorize the expression:
x(p-q) + y(q-p)
38.
Choose the word that best completes the sentence:
The message between the lines _______ what we need to finish before Monday.
39.
The sine, cosine and tangent of 240° are, respectively
41.
A square pyramid and a cuboid have the same height and the areas of their bases are equal. Find the ratio of their volumes
42.
If 19x = 240² - 235²,
the value of x is
43.
Choose the word that best completes the sentence:
We need to make sure that there is enough _________ accommodation to house all the delegates.
44.
Evaluate correct to two decimal places
50 + 1/50 + 3/500 + 25/5000
45.
If f(x) = x² + 2x - 2,
find the least value of f(x) and the corresponding value of x
