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WorksheetsCLASS 9TH
Total questions: 25
Worksheet time: 8mins
If (x - 1) is a factor of x³ + a·x² + x - 6, then the value of a is:
2
-2
3
-3
The degree of the polynomial p(x) = 5x³ - 7x⁵ + 3x² - 4x + 1 is:
5
3
4
2
Which of the following is NOT a polynomial?
x² + 1/x
3x³ - x + 7
4x⁵ + 6x² - 3
0
If (x + 1) is a factor of x³ + x² + k·x + 1, then the value of k is:
1
0
2
-1
Which of the following is true for a polynomial of degree 2?
It has at most two real zeros
It never has real zeros
It can have more than two real zeros
It has exactly one zero
If (x - 3) and (x + 2) are factors of x³ + a·x² + b·x + 6, then the third factor is:
(x + 1)
(x - 1)
(x - 2)
(x + 3)
Which of the following is a linear equation in two variables?
2x + 3y = 7
x² + y = 1
x·y = 5
x + 1/y = 3
The graph of a linear equation in two variables is a:
Circle
Parabola
Straight line
Ellipse
Which ordered pair is a solution of 2x - y = 3?
(2, 1)
(3, 3)
(4, 5)
(1, -1)
If the graph of a linear equation passes through (1, 2) and (3, 6), then the equation is:
y = 2x
y = x + 1
y = x + 2
y = 3x - 1
A force of 10 N is applied on a body of mass 5 kg for 4 seconds. What is the change in momentum of the body?
2 kg·m/s
10 kg·m/s
20 kg·m/s
40 kg·m/s
A bullet of mass 50 g moving with velocity 100 m/s hits a wooden block and comes to rest in 0.005 s. What is the magnitude of average force exerted by the block on the bullet?
1000 N
1500 N
2000 N
2500 N
A 60 kg man jumps to a boat from a dock with a velocity of 3 m/s. If the boat has a mass of 240 kg, then what will be the velocity of the boat after the jump (assuming no external force)?
0.5 m/s
0.6 m/s
0.75 m/s
1.0 m/s
A car of mass 1000 kg is moving with a velocity of 20 m/s. It is stopped by applying brakes which produce a constant force of 5000 N. What is the distance it travels before coming to rest?
40 m
60 m
80 m
100 m
According to Newton's Third Law, if a body A exerts a force F on body B, then:
Body B will not react if its mass is large
Body B will exert a smaller force back
Body B will exert a force -F on A simultaneously
Body A must have greater acceleration than B
Which of the following processes does not involve a change in the physical state of matter?
Melting of ice
Boiling of waterDissolution of salt in water
Sublimation of ammonium chloride
When a gas is compressed, the:
Space between molecules decreases
Mass of gas increases
Kinetic energy of molecules increases
Number of molecules increases
Which of the following has maximum kinetic energy at room temperature?
Ice
Water
Steam
Salt solution
Which statement best explains why a cotton shirt dries faster on a windy day than on a calm day?
Wind increases the air temperature
Wind increases atmospheric pressure
Wind increases the rate of condensation
Wind increases the rate of evaporation by carrying away water molecules
A liquid is kept in a closed container and heated. After some time, the vapor pressure becomes constant. What does this indicate?
Boiling point is reached
Evaporation has stopped
Saturated vapor pressure is attained
The liquid is now solid
The Enabling Act of 1933 in Germany gave Hitler:
Power to dissolve the German parliament
Emergency powers for 4 years to rule without the Reichstag
Control over the military
The right to invade Austria legally
Which treaty and its harsh terms were used by Hitler to spread nationalist resentment in Germany?
Treaty of Versailles
Treaty of Berlin
Treaty of Tilsit
Munich Pact
Which of the following rivers does not form a delta at its mouth?
Ganga
Mahanadi
Godavari
Narmada
The Brahmaputra river enters India in Arunachal Pradesh and is known as:
Tsangpo
Dihang
Padma
Meghna
Which river contributes most to the inland navigation in India?
Ganga
Yamuna
Mahanadi
Godavari
