The greatest common factor of 6a and 12b is

1

(a)

6

(b)

2

(c)

3

(d)

1

In a polynomial, the exponents of the variables are always

1

(a)

integers

(b)

positive integers

(c)

non-negative integers

(d)

non-positive integers

Which of the following is a binomial?

1

(a)

7 x a +a

(b)

6a² + 7b + 2c

(c)

4a + 3b x 2c

(d)

6(a² +b)

An irreducible factor of 24x² y² is

1

(a)

x²

(b)

y²

(c)

x

(d)

24x

a (b + c) = ab + ac is

1

(a)

commutative property

(b)

distributive property

(c)

associative property

(d)

closure property

Number of factors of (a + b)² is.......

1

(a)

2

On simplification, \(\frac { 7y+7 }{ 7 } \)

1

(a)

y +1

Volume of a rectangular box with length 2x, breadth 3y and height 4z is..........

1

(a)

24 xyz

105² -103² =....... x (105 -103) =..............

1

(a)

416

The factorisation of 3x + 15z is

1

(a)

3(x + 5z)

An identity is true for all values of its variables.

1

(a) False

(b) True

The sum of areas of two squares with sides 5a and 5b is 25(a +b)(a -b).

1

(a) True

(b) False

Some of the factors of \(\frac { { n }^{ 2 } }{ 2 } +\frac { n }{ 2 } are\frac { 1 }{ 2 } \) , n (n+1) 

1

(a) False

(b) True

The value of p for 51² - 49² = 100p is 2.

1

(a) False

(b) True

The irreducible factorisation of 3a³ + 6a is 3(a² + 2).

1

(a) True

(b) False

Factorise 81x(x + 4)

2

(a)

Factorise 37x(x - 1)(x +2)

2

(a)

Find and correct the errors in the following mathematical statements. (3x+ 2)² = 3x² + 6x+ 4

2

(a)

Find the greatest common factor of the given monomials.27a²b³c²,9ab²,c², 18a² bc²

2

(a)

Factorise each of the following algebraic expressions. axy + bcxy - az - bcz

2

(a)

Find the common factors of the given terms 14pq = 28 p²q²

3

(a)

Divide 21(y + 3) (y² -16) by 7(y² - y -12).

3

(a)

Foetorise the following expressions. a⁴ - 2a²b² + b⁴

3

(a)

Factotise the following expressions. q² - 10q +21

3

(a)

Factorise the expressions and divide them as directed.4yz(z²+ 6z - 16) \(\div \) 2y(z + 8)

3

(a)

Using the suitable identities, evaluate the following :
(103) ²  .

5

(a)

Factorise (m⁸-n⁸) and after this divide by (m⁴+n⁴)

5

(a)