Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
A piece of ribbon is 5.4 m long. It is cut into pieces of 0.9 m each. How many pieces?
6
5
8
9
Correct answer
6
If a + b + c = 15, ab + bc + ca = 48 and abc = 16, then find the value of a3 + b3 + c3.
1212
1263
1321
1441
Correct answer
1212
Expand: (5x - 3)2 = ?
25x2 - 15x + 9
25x2 + 30x - 9
25x2 + 30x + 9
25x2 - 30x + 9
Correct answer
25x2 - 15x + 9
A right square pyramid has a base side measuring 6 cm and a height of 8 cm. Calculate its volume.
72 cm3
96 cm3
100 cm3
120 cm3
Correct answer
72 cm3
A person walks 0.75 km in one round. How many rounds to cover \(6\frac{3}{4}\) km?
7
8
9
10
Correct answer
7
The sum of all interior angles of a regular polygon is 1080°. How many diagonals does the polygon have?
20
21
18
19
Correct answer
20
A pyramid has a base of 9 cm side. If its height is increased by 50% and base remains same, by what percentage does volume increase?
20%
30%
40%
50%
Correct answer
20%
A mixture contains 2.5 L of milk and 1.75 L of water. What fraction of the mixture is water?
\(\frac{7}{18}\)
\(\frac{7}{20}\)
\(\frac{1}{3}\)
\(\frac{7}{17}\)
Correct answer
\(\frac{7}{18}\)
What decimal is equal to:
\(\frac{5 \frac{2}{3}-3 \frac{3}{5}}{1 \frac{1}{5}}\)
1.54
1.72
2.67
2.25
Correct answer
1.54
A circular disc of radius 10 cm is cut into 4 equal parts. What is the area of each part?
34π cm2
26π сm2
25π cm2
56π cm2
Correct answer
34π cm2
A metal wire is bent into the form of a circle of radius 21 cm. If it is rebent into a square, what is the length of a side?
33 cm
44 cm
42 cm
36 cm
Correct answer
33 cm
A and B can complete a task in 12 days together. A is 25% more efficient than B. What percentage of the work is done by A alone?
55.56%
60.6%
62.5%
66.66%
Correct answer
55.56%
A square paper is cut into 16 smaller equal square pieces. If the perimeter of each small piece is 24 cm, find the area of the original paper.
144 cm2
576 cm2
1024 cm2
1296 cm2
Correct answer
144 cm2
The sides of a trapezium are 8 cm, 10 cm, 12 cm and 14 cm, with 12 cm and 8 cm being the the parallel sides. If height = 6 cm, find area.
60 cm2
66 cm2
72 cm2
80 cm2
Correct answer
60 cm2
A trapezium (bases 8 cm & 12 cm, height 6 cm) is attached to a rectangle (8 cm × 10 cm) to form a wood panel. What is the total area?
96 cm2
108 cm2
120 cm2
140 cm2
Correct answer
96 cm2
A square field has an area of 400 m2. If each side increases by 25%, what is the new area?
625 m2
600 m2
700 m2
500 m2
Correct answer
625 m2
The difference between the square of a number and the square of its half is 432. What is the number?
18
24
36
48
Correct answer
18
A student scored marks in 5 subjects: 72, 68, 74, 70, and one unknown subject. If his average is 71, what is the missing mark?
70
72
71
69
Correct answer
70
What is the slope in the equation y = 4x - 2 ?
0
1
4
2
Correct answer
0
If the equation of a line is 3x - 5y = 15, what is the equation of the line perpendicular to it that passes through the point (3, 2)?
y = (5/3)x + 7
y = -(5/3)x + 7
y = (5/3)x - 7
y = (-3/5)x + 7
Correct answer
y = (5/3)x + 7
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.