Mathematics 2010 | Study Mode

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Question 11
A
10 cm2
B
6 cm2
C
24 cm2
D
8 cm2
Explanation
Area of a triangle = 1/2 base x height
= 1/2 x 4 x 5
= 10 cm2Maths-explained-image

Correct option: A
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Question 12
A
100/7
B
80/7
C
110/7
D
90/7
Explanation
Area of a sector = x r2
360

= 50/360 x 22/7 x 36/1
= 110/7

Correct option: C
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Question 13
A
y = - + 6
B
y = - - 6
C
y = + 6
D
y = - 6
Explanation
Locus of a point equidistant from two fixed points is the perpendicular bisector of the straight line joining the points Gradients of PQ = (5-3 / 3-1) = 2/2 = 1
Gradient bisector = -1
Equation of perpendicular bisector
y - y1 = m( - 1
y - 4 = - + 2
y = - + 6Maths-explained-image

Correct option: A
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Question 14
A
x(x-5)
2(x+2)
B
x(x-5)
2(x-2)
C
x(x+5)
2(x+2)
D
x2+5
2x+4
Explanation
x2 + 3x2
2x - 8

= x(x2+3x10)
2(x2-4)

= x(x+5)(x-2)
2(x2-2 2)

= x(x+5)(x-2)
2(x-2)(x+2)

= x(x+5)
2(x+2)

Correct option: C
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Question 15
A
6 cm
B
7 cm
C
8 cm
D
5 cm
Explanation
Area of a triangle = 1/2 ab Sin
123 = 1/2 x 8 x q sin 60
123 = 4 x q x 3/2
123 = 2q3
q =123
23

q = 6

Correct option: A
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Question 16
A
3(2x+1)2
B
6(2x+1)
C
3(2x+1)
D
6(2x+1)2
Explanation
y = (2x + 1)3
dy/dx = 3(2x + 1)3-1 x 2
= 3(2x + 1)2 x 2
= 6(2x + 1)2

Correct option: D
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Question 17
A
cos x + x2 + K
B
cos x 2x + K
C
-cos x + x2 + K
D
-cos x + 2x + K
Explanation
(sin + 2)d = (sin + 2)dx
= -cos + 2 + K

Correct option: D
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Question 18
A
6
B
2
C
7
D
9
Explanation
MarksNumber of students
23
31
45
Total9

Correct option: D
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Question 19
A
16
B
13
C
20
D
15
Explanation
f = 2 + 2 + 8 + 4 + 4
= 20

Correct option: C
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Question 20
A
3.1
B
3
C
3.2
D
3.3
Explanation
Mark()ff
122
224
3824
4416
5420
f = 20f = 66

Mean = f
f

= 66
20

= 3.3

Correct option: D

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