Page 87 - Maths Skills - 8

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6 6 Factorisationactorisation

Learning Outcomes

In this chapter, you will learn about:
� Factors � Factorisation by regrouping � Division of polynomials
� Factorisation � Factorisation by using standard identities
� Factorisation by method of common factors � Factorisation by splitting the middle term of a trinomial x + bx + c
2

Boot-Up (To Recapitulate Previous Knowledge of Concepts)

COMPETENCY BASED QUESTIONS

A. Multiple-Choice Questions

1. Which shows the prime factorization of 84?
(i) 2 × 2 × 3 × 3 × 7 (ii) 7 × 12 (iii) 2 × 2 × 3 × 7 (iv) 4 × 21
2. Which of the following numbers is not co-prime?

(i) 18 and 35 (ii) 216 and 215 (iii) 15 and 37 (iv) 30 and 415
3. Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum
capacity of a container which can measure the diesel of the three tankers when used an exact number
of times.

(i) 31 litres (ii) 42 litres (iii) 78 litres (iv) 26 litres
4. Which of the following statements is not true?

(i) The HCF of two distinct prime numbers is 1. (ii) The HCF of two co-prime numbers is 1.
(iii) The HCF of an even and an odd numbers is even.
(iv) The HCF of two consecutive even numbers is 2.

B. Fill in the Blanks

1. HCF of 54, 144 and 108 is __________. 2. LCM of 8, 10 and 16 is __________.

3. The smallest multiple of 73 is __________. 4. The smallest even prime number is __________.

5. The smallest odd prime number is __________.

C. Write ‘T’ for true and ‘F’ for false Statements

1. Every number is a factor of itself. 2. 2 is the smallest even prime number.

3. Every number is a multiple of itself.

4. 1 is neither prime number nor composite number.