Free Printable REAL NUMBERS and POLYNOMIALS

1.

Write 3/8 in decimal form

a)

.0375

b)

.375

c)

.257

d)

.335

2.

Find the LCM of $2^3\times3^2\ \ and\ \ 2^2\ \times3^3$

a)

36

b)

108

c)

216

d)

64

3.

Write the point where the graph of the polynomial p(x)=2x-5 is a straight line which intersects the X-axis at exactly one point.

a)

(2/5,0)

b)

(5/2 ,0)

c)

(0,2/5)

d)

(0 ,5/2)

4.

Find the degree of the polynomial

(x+1)(x² - x - x⁴ + 1)

a)

4

b)

8

c)

5

d)

1

5.

The decimal expansion of 6/1250 will terminate after how many places of decimal?

a)

4

b)

3

c)

2

d)

5

6.

What is the HCF of the smallest composite number and the smallest prime number

a)

2

b)

1

c)

4

d)

8

7.

If one zero of the quadratic polynomial 2x²+kx-15 is 3, then find the other zero

a)

2/5

b)

-5/2

c)

-5

d)

-2/5

8.

If $\alpha\ and\ \beta$ are the zeroes of the polynomial $5x^{2\ }-7x+2$ then find the sum of their reciprocals

a)

-7/10

b)

7/2

c)

2/7

d)

2/5

9.

What is the largest number that divides 70 and 125,leaving remainders 5 and 8 respectively

a)

45

b)

11

c)

17

d)

13

10.

$If\ \alpha\ and\ \beta\ are\ zeroes\ of\ the\ polynomial\ p\left(x\right)=x^2-5x+6,then\ find\ the\ value\ of\ \alpha+\beta-3\alpha\beta$

a)

30

b)

-15

c)

-13

d)

6

11.

$If\ \alpha\ and\ \beta\ are\ zeroes\ of\ f\left(x\right)=px^2-2x+3p\ \ \ and\ \ \ \ \ \alpha+\beta=\alpha\beta\ \ \ \ then\ find\ p$

(a)

12.

If HCF of two numbers is 1,then what are the two numbers called

(a)

13.

Is it possible for the HCF and LCM of two numbers to be 18 and 378 respectively.

(a)

14.

Find the quadratic polynomial whose product and sum of the zeroes are 1 and -12 respectively

(a)

15.

A class of 20 boys and 15 girls is divided into n groups .So that each group has x boys and y girls .Find n

(a)

16.

If m and n are the zeroes of the polynomial 3x2+11x-4,find the value of

\frac{m}{n}+\frac{n}{m}

(a)

17.

How many prime factors are there in the prime factorisation of 5005?

(a)

18.

What are the possible remainders when a positive integer 9 is divided by 4 ?

(a)

19.

$If\ \ \alpha\ \ and\ \ \beta\ \ \ are\ zeroes\ of\ the\ \ \ polynomial\ \ x^2+2x-8,then\ \ \ form\ \ a\ \ quadratic\ \ polynomial\ \ whose\ \ zeros\ are\ \ 2\alpha\ \ and\ \ 2\beta$

(a)

20.

What is the LCM of any two prime numbers?

(a)

REAL NUMBERS and POLYNOMIALS

Total questions: 20

Worksheet time: 15mins

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