PDF chapter test TRY NOW

Methodical recommendation:

Theory

Number Name Description
1. Law of exponents for real numbers Remember the laws of exponents to reduce the expressions.
2. Radical notation Let us understand the concept of radical notation.
3. Surds Let us learn the concept of surds.
4. Types of surds Let us learn the types of surds.
5. Laws of radicals Let us learn the concept of laws of radicals.
6. Four basic operations on surds Let us learn the concept of how to solve the surds using the four basic operations.
7. Rationalisation of surds and conjugate surds Let us learn the concept of rationalisation of surds and conjugate surds.
8. Rationalise the denominator Learn to rationalising the denominator to make the expression in simpler form.
9. Scientific notation and writing a number in scientific notation Learn the concept of scientific notation and how to write a number in scientific notation.
10. Converting scientific notation to decimal form Let us learn how to convert scientific notation to decimal form.
11. Arithmetic of numbers in scientific notation Let us learn the concept of arithmetic of numbers in scientific notation.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice questions I Other easy 3 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
2. Multiple choice questions II Other easy 3 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
3. Multiple choice questions III Other easy 2 m. This exercise is to check your basic knowledge in the concept of surds and scientific notations.
4. Multiple choice questions IV Other easy 2 m. This exercise is to check your basic knowledge in the concept of surds and scientific notations.
5. Two marks example problems I Other medium 6 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
6. Two marks example problems II Other medium 4 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
7. Two marks example problems III Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
8. Two marks example problems IV Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
9. Two marks example problems V Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
10. Two marks example problems VI Other medium 4 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
11. Two marks example problems VII Other medium 4 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
12. Two marks example problems VIII Other medium 12 m. This exercise is to check your basic knowledge in the concept of scientific notations.
13. Two marks exercise problems I Other medium 6 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
14. Two marks exercise problems II Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
15. Two marks exercise problems III Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
16. Two marks exercise problems IV Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
17. Two marks exercise problems V Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
18. Two marks exercise problems VI Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
19. Two marks exercise problems VII Other medium 8 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
20. Two marks exercise problems VIII Other medium 10 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
21. Two marks exercise problems IX Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
22. Two marks exercise problems X Other medium 0 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
23. Two marks exercise problems XI Other medium 8 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
24. Two marks exercise problems XII Other medium 4 m. This exercise is to check your basic knowledge in the concept of scientific notations.
25. Two marks exercise problems XIII Other medium 4 m. This exercise is to check your basic knowledge in the concept of scientific notations.
26. Two marks exercise problems XIV Other medium 16 m. This exercise is to check your basic knowledge in the concept of scientific notations.
27. Two marks exercise problems XV Other medium 14 m. This exercise is to check your basic knowledge in the concept of scientific notations.
28. Five marks example problems XI Other medium 5 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
29. Five marks exercise problems XVI Other hard 10 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
30. Five marks exercise problems XVII Other hard 10 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
31. Five marks exercise problems XVIII Other hard 10 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
32. Five marks exercise problems XIX Other hard 10 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
33. Five marks exercise problems XX Other hard 5 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
34. Five marks exercise problems XXI Other hard 15 m. This exercise is to check your basic knowledge in the concept of scientific notations.

Practice Questions

Number Name Type Difficulty Marks Description
1. Enter the value in reduced form Other easy 2 m. Use the suitable law of exponents to convert the expression in simpler form.
2. Find the order Other easy 2 m. Practice a problem to find the order of the surd.
3. Write in Index notation Other easy 2 m. Try to find the index notation of the given problem.
4. Write in scientific notation Other easy 2 m. Check your understanding skills in the concept of converting a number into scientific notation.
5. Write in decimal form Other easy 2 m. Practice a problem to convert the scientific notation to decimal form.
6. Rationalise the expressions Other medium 5 m. Apply the concept of rationalising the denominator and simplify the expressions.
7. Add, multiply the given expressions Other medium 4 m. Use the identities and properties of real numbers to simplify the expressions.
8. Find the simpler form of exponents Other medium 4 m. Practice a problem on law of exponents and reduce it to simplified form.
9. Subtract, divide the given expressions Other medium 4 m. Practice a problem on identities and properties of real numbers.
10. Simplify the expressions Other medium 4 m. Try to simplify the given questions.
11. Answer the questions Other medium 4 m. Apply the law of radicals and find the solution.
12. Determine the value of the expression Other hard 6 m. Practice a problem to find the value of the given expressions.
13. Add, subtract and multiply the given expressions Other hard 5 m. Practice a problem on opertions on real numbers.
14. Apply law of exponents Other hard 5 m. Practice problems on simplifying the numbers with radicals by applying law of exponents.
15. Reduce the expression by rationalising it Other hard 5 m. Try solving the problem on rationalising the expressions.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Arrange surds in descending order Other hard 5 m. This exercise is to check your basic knowledge in the concept of surds and its operations.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Reduce the expression in simpler form Other easy 2 m. Use the law of exponents and convert the expression in simpler form.
2. Choose the correct answer Other medium 3 m. Select the suitable choice for the given questions.
3. Simplify the expression Other medium 4 m. With the help of identities convert the expressions into simpler form.
4. Write in scientific notation and in decimal form Other hard 10 m. Check your understanding skills in the concept of scientific notation.
5. Add and subtract the surds Other medium 2 m. This exercise is to check your basic knowledge in the concept of surds and its operations.
6. Write in scientific notation Other medium 2 m. This exercise is to check your basic knowledge in the concept of scientific notations.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test I 00:20:00 medium 21 m.
2. Training test II 00:20:00 medium 17 m.
3. Training test III 00:20:00 medium 22 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Training test IV 00:20:00 medium 24 m.
2. Training test V 00:20:00 medium 13 m.
3. Training test VI 00:20:00 medium 24 m.
4. Training test VII 00:20:00 medium 46 m.
5. Homework I 00:20:00 medium 25 m.
6. Homework II 00:20:00 medium 24 m.
7. Homework III 00:20:00 medium 22 m.
8. Homework IV 00:20:00 medium 30 m.
9. Homework V 00:20:00 medium 33 m.
10. Homework VI 00:20:00 medium 32 m.
11. Periodic Assessment 00:10:00 medium 4 m. PA 1 - Surds and its Basic Operations and Scientific Notation