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Questions and Answers
What is the value of x^2 - 3x + 2 when x = 1?
What is the sum of the roots of the polynomial x^2 - 5x + 6?
What is the product of the roots of the polynomial x^2 + 3x - 4?
Which of the following is a prime number?
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If 5 men can complete a work in 20 days, how many days will 10 men take to complete the same work?
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What is the degree of the polynomial 5x^3 - 4x^2 + 3x - 2?
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If a train travels 60 km in 1 hour and 30 minutes, what is its average speed?
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What is the sum of the first 10 prime numbers?
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What is the characteristic of a body in uniform motion?
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What does the slope of a distance-time graph represent?
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Which of the following is an example of a mixture?
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What is the smallest unit of life?
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Which organelle is responsible for protein synthesis?
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What is an irrational number?
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What is the boiling point of water?
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What is the process of changing a solid directly into gas without passing through the liquid state?
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Study Notes
Motion
- A body is said to be in uniform motion if it moves with a constant speed in a straight line.
- The slope of a distance-time graph represents speed.
- An example of non-uniform motion is a ball dropped from a height.
- The SI unit of acceleration is m/s².
- The average speed of a car can be calculated by dividing the total distance traveled by the total time taken.
Chemistry: Matter in Our Surroundings
- Particles of matter have spaces between them.
- Plasma is not a state of matter.
- Sublimation is the process of changing a solid directly into gas without passing through the liquid state.
- The boiling point of water is 100°C.
- Air is an example of a mixture.
Biology: The Fundamental Unit of Life
- The smallest unit of life is the cell.
- The control center of the cell is the nucleus.
- Prokaryotic cells lack a nucleus.
- Mitochondria are known as the powerhouse of the cell.
- Cell walls are found only in plant cells.
- The jelly-like substance inside the cell is called cytoplasm.
- Eukaryotic cells have a defined nucleus.
- Ribosomes are responsible for protein synthesis.
- The cell membrane is semi-permeable.
- Chloroplasts are found in plant cells.
Mathematics: Number System and Polynomials
- √2 is an irrational number.
- The decimal representation of 1/3 is 0.333...
- The value of x² - 3x + 2 when x = 1 is 0.
- The sum of the roots of the polynomial x² - 5x + 6 is 5.
- The product of the roots of the polynomial x² + 3x - 4 is -4.
- 11 is a prime number.
- The HCF of 18 and 24 is 6.
- If x + 2 is a factor of x² + kx + 6, then the value of k is 3.
- The degree of the polynomial 5x³ - 4x² + 3x - 2 is 3.
- x² - 4 is a polynomial.
MAT
- If 5 men can complete a work in 20 days, 10 men will take 10 days to complete the same work.
- In a certain code language, if CAT is written as 3120, then DOG will be written as 4127.
- If a train travels 60 km in 1 hour and 30 minutes, its average speed is 40 km/h.
- If a man walks 30 meters north and then 40 meters east, he is 50 meters from the starting point.
- The sum of the first 10 prime numbers is 129.
- The letters of the word "LEADER" can be arranged in 1440 ways.
- A number can be formed by arranging the digits 1, 2, 3, 4 without repetition in 24 ways.
- A committee of 3 can be selected from 5 persons in 10 ways.
- In a race of 100 meters, if A gives B a start of 10 meters, B gives C a start of 5 meters, and C gives D a start of 3 meters, A will win the race.
- The 10th term of an arithmetic series with the first term as 2 and the common difference as 3 is 27.
- If 1 is added to the square of a number, the result is 41, then the number is 6.
- If the price of an article is reduced by 20%, the new price is 40% of the original price.
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Description
Test your knowledge of fundamental physics concepts, including uniform motion, distance-time graphs, and acceleration. Questions cover various aspects of motion, including speed and velocity.
