An equilateral triangle has a side 2 cm. Calculate the height of the triangle.
5cm
√5cm
3cm
√3cm
Correct answer is D
using Pythagoras theorem
H = √22−12
= √4−1
= √3cm
Factorize completely: x2−(y+z)2
(x - y - z)(x - y - z)
(x + y + z)(x - y - z)
(x + y + z)(x + y - z)
(x + y - z)(x - y + z)
Correct answer is B
x2−(y+z)2
Using difference of two squares (\(a^2 - b^2 = (a + b)(a - b)|)
⇒ (x + (y + z))(x - (y + z))
⇒ (x + y + z)(x - y - z)
How many students scored at least 3 marks?
44
52
38
18
Correct answer is A
Number of students that scored at least 3 marks = 9 + 1 + 12 + 7 + 5 + 10 = 44
What percentage of the students scored at most 5 marks?
58.5%
63.2%
38.3%
41.5%
Correct answer is A
Number of students that scored at most 5 marks = 12 + 1 + 9 + 6 + 3 = 31
% of student = 3153×100 = 58.5%
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