Q1) From the choices given below mark the co-prime numbers
a) 2,3 (b) 2,4 (c) 2,5 (d) 2,107

Q2) Given a rational number -5/9. This rational number can also be known as a) A natural number (b) a rational number
(c) a whole number (d) a real number

Q3) The square root of which number is rational
a) 7 (b) 1.96 (c) 0.04 (d) 13

Q4) 2 - √7 is
a) A rational number (b) an irrational number
(c) a real number (d) a natural number

Q5) To rationalize the denominator of the expression 1 , we multiply and divide by √7 - √6 a) √7 + √6 (b) √6 (c) √7 × √6 (d) √7

Q6) (125)-1/3 can be written as
a) 5 (b) -5 (c) 1/5 (d) none of these

Q7) Every point on the number line
a) can be associated with a rational number
b) can be associated with an irrational number
c) can be associated with a natural number
d) can be associated with a real number

Q8) If z2 = 0.04, then z represents a ____________ number.

Q9) The number of irrational numbers between 15 and 18 is infinite. True or False

Q10) Multiply 5√2 by 17

Q11) Give an example each of two irrational numbers, whose Sum, Difference, Product and Quotient is rational and irrational number.

Q12) Find two rational and irrational numbers between 0.5 and 0.55.

Q13) Represent -12/5 on the number line

Q14) Express 0.047 in the form p/q where p and q are integers and q≠0.

LEVEL II
Q1) Examine whether the following numbers are rational or irrational: i) (2-√3)2 ii) (√2+√3)2 iii) √3-1 √3+1 Q2) Express each of the following as...

...RATIONALNUMBERS
In mathematics, a rationalnumber is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rationalnumber. The set of all rationalnumbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente, Italian...

...A rationalnumber is a number that can be written as a ratio of two integers. The decimal of a rationalnumber will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rationalnumbers and their decimals, it is best to start with a list. A...

...Polynomial
The graph of a polynomial function of degree 3
In mathematics, polynomials are the simplest class of mathematical expressions (apart from the numbers and expressions representing numbers). A polynomial is an expression constructed from variables (also called indeterminates) and constants (usually numbers, but not always), using only the operations of addition, subtraction, multiplication, and non-negative integer exponents (which are...

...TUTORIAL: NUMBER SYSTEM
1. Determine whether each statement is true or false
a) Every counting number is an integer
b) Zero is a counting number
c) Negative six is greater than negative three
d) Some of the integers is natural numbers
2. List the number describe and graph them on the number line
a) The counting number smaller than 6
b) The integer between -3 and 3
3. Given...

...multiplication.
C=4d^(-1/3) b Capsize formula
C=4(23245)^(-1/3) (13.5) Replace variables with given values
C=4(1/〖23245〗^(1/3) )(13.5) Convert the reciprocal of the negative radical exponent
C=4(1/28.539)(13.5) Factor the radical exponent, then the rationalnumber (computed with a calculator and then rounded to thousandths place)
C=4(0.035)(13.5) Multiply all terms
C=1.89 Capsize screening value is less than 2; this boat is safe to sail.
b) The second part...

...Real number
In mathematics, a real number is a value that represents a quantity along a continuum, such as 5 (an integer), 3/4 (a rationalnumber that is not an integer), 8.6 (a rationalnumber expressed in decimal representation), and π (3.1415926535..., an irrational number). As a subset of the real numbers, the integers, such as 5, express discrete rather than continuous...

...In mathematics, a real number is a value that represents a quantity along a continuous line. The real numbers include all the rationalnumbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers such as √2 (1.41421356... the square root of two, an irrational algebraic number) and π (3.14159265..., a transcendental number). Real numbers can be thought of as...

...10th Real Numbers test paper
2011
1.
Express 140 as a product of its prime factors
2.
Find the LCM and HCF of 12, 15 and 21 by the prime factorization method.
3.
Find the LCM and HCF of 6 and 20 by the prime factorization method.
4.
State whether13/3125 will have a terminating decimal expansion or a non-terminating repeating
decimal.
5.
State whether 17/8 will have a terminating decimal expansion or a non-terminating repeating
decimal.
6....