Factors

Q. Calculate the number of factors for the number 48?

1. 10
2. 8
3. 6
4. 12

Q. Choose the prime factors of 42.

1. 2
2. 3
3. 6
4. 7

Q. Find the number of factors for the number 148?

1. 3
2. 4
3. 6
4. 3

Q.

Find the common factors of: $2y,22xy$

Q.

Find the number of divisors and the sum of divisors of number $1400$.

Q. The greatest number, which when divided by 12, 15, 20 and 54 leaves a remainder of 8 in each case.

1. 1620
2. 1088
3. 548
4. Can’t determined

Q. M(x, y, z) denote the number of multiples of x that are less than z and greater than y. What is m(9³, 9⁴, 9⁶)?

Q. A number is divisible by 4 and 12. Is it necessary that it will be divisible by 48? Give another example in support of you answer. [3 MARKS]

Q. A number when divided by $136$, leaves $36$ as remainder. If the same number is divided by $17$, what will be the remainder?

1. $0$
2. $1$
3. $2$
4. $3$

Q. Question 6(iii)
Using identities, evaluate:
${102}^2$

Q.

For the expressions 'ab' and 'cd'. HCF is___

1. a

2. b

3. d

4. 1

Q.

What are the factors of $216$?

Q. The factors of 12 are

1. 1, 2, 3, 4, 6, 12
2. 2, 3, 4, 6, 10
3. 1, 2, 3, 4, 6, 9

Q. Common factors of 12ab, 16b, 8abc are

1. abc
2. 4b
3. 8bc
4. 2a

Q. Question 3(i)
Find the products:
$\left(a^2\right)\times \left(2a^{22}\right)\times \left(4a^{26}\right)$

Q. Question 8(i)
Using $(x+a)(x+b)=x^2+(a+b)x+ab$, find
$103\times 104$

Q. Which of the following is not a factor of $5xy$?

1. $y^2$
2. $xy$
3. $5x$
4. $x$

Q.

Question 8(iv)
Using $(x+a)(x+b)=x^2+(a+b)x+ab$, find
$9.7\times 9.8$

Q. Question 6(iv)
Using identities, evaluate:
${998}^2$

Q.

Question 8(iii)
Using $(x+a)(x+b)=x^2+(a+b)x+ab$, find
$103\times 98$

Q.

Question 86 (xii)

Using suitable identities, evaluate the following:

$98\times 103$

Q. Question 7(i)
Using $a^2-b^2=(a+b)(a-b),$ find
${51}^2-{49}^2$

Q. Question 7(iv)
Using $a^2-b^2=(a+b)(a-b),$ find
${12.1}^2-{7.9}^2$

Q. Question 6(ii)
Using identities, evaluate:
${99}^2$

Q.

Question 86 (xiii)

Using suitable identities, evaluate the following:

$(9.9{)}^2$

Q.

Question 5(v)
Show that:
(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

Q. Question 8(ii)
Using $(x+a)(x+b)=x^2+(a+b)x+ab$, find
$5.1\times 5.2$

Q.

Question 86 (i)

Using suitable identities, evaluate the following:

$(52{)}^2$

Q. What are the first three multiples of 8?

1. 8, 12 and 16
2. 8, 16 and 24
3. 8, 24 and 32
4. 8, 16 and 32

Q.

A polynomial that contains only one term is called a __.