Category: SST Maths/Physics

No.	Topics.	No.	Topics.
1.	Algebra:	2.	Calculus (Basic)
3.	Geometry	4.	Number System & Arithmetic
5.	Probability & Statistics	6.	Set Theory & Logic (Basic)
7.	Trigonometry	8.	Vectors & Matrices (Basic)

If y = x³ – 6x² + 9x + 1, stationary points at x = ?

1, 3
2, 3
1, 2
0, 3

Calculus (Basic)

Maxima of f(x) = -2x² + 8x – 5 occurs at x = ?

2
1
3
4

Calculus (Basic)

If f(x) = 3x² – 12x + 5, maximum occurs at x = ?

2
1
3
4

Calculus (Basic)

∫(x⁴ – x² +1) dx = ?

x⁵/5 – x³/3 + x + C
x⁵/5 – x² +1
x⁴ – x² +1
x⁵ – x³ + x

Calculus (Basic)

∫(1/√x) dx = ?

2√x + C
√x + C
x + C
1/(2√x)

Calculus (Basic)

Rate of change of area of circle with respect to radius r:

2πr
πr²
π
πr

Calculus (Basic)

If y = ln(x² +1), dy/dx = ?

2x/(x² +1)
1/x
ln(x)
x²

Calculus (Basic)

∫(e^(3x)) dx = ?

e^(3x)/3 + C
3 e^(3x)
e^x + C
3x e^(3x)

Calculus (Basic)

∫(x³ – 2x + 5) dx = ?

x⁴/4 – x² + 5x + C
x³ – x² + 5x
x⁴/4 – 2x² + 5x
x³/3 – x² + 5x

Calculus (Basic)

∫(sin 2x) dx = ?

-cos 2x/2 + C
cos 2x/2 + C
sin 2x + C
-sin 2x + C

Calculus (Basic)

Minima of f(x) = x² – 4x + 3:

x = 2
x = 1
x = 3
x = 4

Calculus (Basic)

If y = x³ – 3x² + 5, find d²y/dx²:

6x – 6
3x² – 6
2x – 3
6x + 6

Calculus (Basic)

Maxima of f(x) = x² – 6x + 8:

x = 3
x = 2
x = 1
x = 4

Calculus (Basic)

∫sec² x dx = ?

tan x + C
sec x + C
cos x + C
sin x + C

Calculus (Basic)

∫cosec² x dx = ?

-cot x + C
cot x + C
-tan x + C
tan x + C

Calculus (Basic)

∫(2x)/(x² + 1) dx = ?

ln(x² + 1) + C
2 ln(x)
x² + C
1/(x² +1)

Calculus (Basic)

∫(1/x²) dx = ?

-1/x + C
1/x + C
x²/2 + C
ln x

Calculus (Basic)

If y = x² e^x, dy/dx = ?

2x e^x + x² e^x
x² e^x
2x e^x
e^x

Calculus (Basic)

Minima of f(x) = x² + 4x + 3 occurs at x = ?

-2
2
-1
1

Calculus (Basic)

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