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The basic criteria for two triangles to be called similar include: if their corresponding angles are equal and if the corresponding sides of the triangles are in the same ratio or proportion. Students will be able to visualise the theorems as they are illustrated with the help of proper examples.
Students can understand the formula and learn the process for finding the surface area of similar triangles in this section. Students have already learnt the theorem and its proof in Class 9. In this section, students will learn how to prove this theorem by employing the concept of similarity of triangles. The summary comprises all the topics that you have studied in the chapter.
Going through the summary will allow you to recollect all that you have learnt in the chapter including the important concepts, theorems, etc. The list of exercise in the Byjus Maths Class 8 Chapter 9 English Maths Class 10 Chapter 6 has been provided below:.
Students using these solutions to prepare for the exam benefit due to the following reasons:. The solutions have been provided by experts making them reliable and free of errors.
Students can learn and understand by using these solutions at their convenience with the help of physical copy. Students are able to get a good command over the subject which helps them to improve their scores as well. By which other will that number be always divisible? Solution: If the number is divisible by both 5 and 12 this the number will also be divisible by 5 x 12 i. A number is divisible by By what other will that number be divisible?
Solution: Factors of 12 are 1, 2, 3, 4, 6, 12 Hence the number which is divisible by 12, will also be divisible by its factors i.
Which of the following statements are true? Here are two different factor trees for Write the missing numbers. Which factors are not included in the prime factorisation of a composite number? Solution: 1 and the number itself are not included in the prime factorisation of a composite number.
Write the greatest 4-digit number and express it in terms of its prime factors. Write the smallest 5-digit number and express it in the form of its prime factors. Find all the prime factors of and arrange them in ascending order.
Now state the relations, if any, between the two consecutive prime factors. The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples. Solution: Example 1: Take three consecutive numbers 20, 21 and Here 20 is divisible by 2 and 21 is divisible by 3. Example 2: Take three consecutive numbers 30; 31 and Here 30 is divisible by 3 and 32 is divisible by 2. Example 3: Take three consecutive numbers 48, 49 and Here, 48 is divisible by 3 and 50 is divisible by 2.
The sum of two consecutive odd numbers is divisible by 4. Solution: Example 1: Let us take two consecutive odd numbers 97 and Hence, the sum of numbers 97 and 99 i. Example 2: Let us take two consecutive odd numbers and Example 3: Let us take two consecutive odd numbers and In which of the following expressions, prime factorisation has been done? Determine if is divisible by Test of divisibility by 5: unit place of the given number is 0. So, it is divisible by 5. So, the given number is divisible by 5 and 9 both.
Hence, the number is divisible by Similarly, a number is divisible by both 4 and 6. If not, give an example to justify your answer. Solution: Here, the given two numbers are not co-prime. Example: 36 and 60 are divisible by 4, both 4 and 6 but not by I am the smallest number, having four different prime factors.
Can you find me? Solution: We know that the smallest 4 prime numbers are 2, 3, 5 and 7. Find the HCF of the following numbers: a 18, 48 b 30, 42 c 18, 60 d 27,63 e 36,84 f 34, g 70, , h 91, , 49 i 18, 54, 81 j 12, 45, 75 Solution: a Given numbers are 18 and Prime factorisations of 18 and 48 are: Here, the common factors are 2 and 3.
Prime factorisations of 30 and 42, are: Here, the common factors are 2 and 3. Prime factorisations of 18 and 60 are: Here, the common factors are 2 and 3. Prime factorisations of 27 and 63 are: Here, the common factor is 3 occurring twice. Prime factorisations of 36 and 84 are: Here, the common factors are 2, 2 and 3. Prime factorisations of 34 and are: Here, the common factors are 2 and Prime factorisatios of 70, and are: Here, common factors are 5 and 7.
Board: Central Board of Secondary Education www. All the CBSE Worksheets for Class 6 Maths provided in this page are provided for free which can be downloaded by students, teachers as well as by parents. So practising these worksheets will promote students problem-solving skills and subject knowledge in an interactive method. Now that you are provided all the necessary information regarding CBSE Class 6 Maths Worksheet and we hope this detailed article is helpful.
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