Math
(Short Questions)
Written by: Mohammad
Arif Mohiuddin Phone :
01553516901
1.
Rules for Multiplication.
a)
Product = Multiplicand ×
Multiplier
b)
Multiplicand = Product ÷
Multiplier
c)
Multiplier = Product ÷ Multiplicand
2.
Rules for Division.
Division without remainder.
a)
Quotient = Dividend ÷
Divisor
b)
Divisor =
Dividend÷ Quotient
c)
Dividend = Divisor ×
Quotient
Division with remainder.
a)
Quotient = (Dividend –
Remainder) ÷ Divisor
b)
Divisor =
(Dividend – Remainder )÷ Quotient
c)
Dividend = Divisor ×
Quotient + Remainder
3.
What is Unitary Method?
Ans: The unitary method is a technique in mathematics for
solving a class of problems in variation. It consists of altering one of the
variables to a single unit, i.e. 1, and then performing the operation necessary
to alter it to the desired value.
4.
What are the different types of brackets?
Ans: Brackets are of three types. Such as : First bracket ( ) , Second Bracket { } , Third Bracket [ ]
5.
Why we use brackets?
Ans: We use brackets to form one mathematical statement from two
mathematical statements.
6.
Rules of simplification.
·
Calculations are to be done from left to right.
·
First we do work involving division, multiplication then we do
work involving addition and subtraction.
·
If there are brackets, calculations inside the brackets has to
be carried out first.
·
First we do work on first brackets ( ), then we do work on
second brackets { }; finally we do work on third brackets [ ].
7.
What is called average?
Ans: An average is the sum of a list of numbers divided
by the number of numbers in the list.The another name of average is arithmetic mean.
8.
Rules of average.
a)
Average = Sum of the quantities
Number of quantities
b)
Sum of the quantities =
Average Number of quantities
9.
What is G.C.D?
Ans: G.C.D. means ‘Greatest Common Divisor’.
10.
More about G.C.D.
ü The
largest number among the common factors (divisors) of two or more numbers is
their G.C.D.
ü G.C.D.
of two or more numbers is the product of their common prime factors.
ü Two
or more numbers have G.C.D. 1 if they have no common prime factor.
ü Another
term for divisor is factor.
ü If
two or more numbers have no common prime factor, then their G.C.D. is 1.
11.
What is L.C.M?
Ans: L.C.M. means ‘Least Common Multiple’.
12.
More about L.C.M.
ü It is the smallest number which is divisible by two or more
given numbers.
ü The short method of finding L.C.M. is a consolidated form of
finding L.C.M. by finding all prime factors of the given numbers.
13.
About Different types of symbols.
In Mathematics various kinds of symbols are used. These are:
Kind of symbols
|
Symbols
|
Numerical
symbols
|
1,
2, 3, 4, 5, 6, 7, 8, 9, 0
|
Operational
symbols
|
Addition
(+), subtraction (-), multiplication (×) and division (÷).
|
Relational
symbols
|
greater
than (>) equal to( =), less than
(<)not equal to(≠), less than or equal to(≤ ) greater than or equal to (≥)
|
Bracketing
symbols
|
First
brackets ( ), Second brackets { }, Third brackets [ ].
|
Literal
symbols
|
a,
b, c, . . ., x, y, z.
|
14.
What is an open statement?
Ans: An open statement is a mathematical statement containing
some special symbol indicating some unknown quantity. Example : 2x + 7 =
45
15.
What is a mathematical statement?
Ans: A mathematical statement is any statement of a mathematical
nature which is either definitely true, or definitely false.
16.
What is called a fraction?
Ans: A fraction
represents a part of a whole or, more generally, any number of equal parts. A
fraction describes how many parts of a certain size there are, for example,
one-half, eight-fifths, three-quarters.
17.
More about fractions.
ü Fractions with the same denominator are fractions with a common
denominator.
ü The reduced form of a fraction is an equivalent fraction whose
numerator and denominator have no common factor except 1. It is obtained by
dividing the numerator and denominator by their G.C.D.
ü A fraction expressed in its reduced from is said to be in its
lowest terms.
ü To express two or more fractions as fractions with the least
common denominator, we find the L.C.M. of the denominators and express the
given fractions as fractions with the L.C.M as their common denominator.
ü Among fractions with the same denominator, the fraction with the
greater numerator is the greater fraction.
ü Among fractions with the same numerator, the fraction with the
smaller denominator is the larger fraction.
18.
What is called proper fraction?
Ans: Fraction whose numerators are less than their denominators,
are proper Fractions. The value of any proper fraction is less than 1.
19.
What is the value of proper fraction?
Ans: The value of any proper fraction is less than 1.
20.
What is called improper fraction?
Ans: Fractions, whose numerators are greater than their
denominators, are improper fractions. The value of any improper fraction is
greater than 1.
21.
What is the value of proper fraction?
Ans: The value of any improper fraction is greater than 1.
22.
About Conversion of fractions.
ü To convert an improper fraction into a mixed fraction, we divide
the numerator by the denominator. The quotient is the integer part of the
desired mixed fraction.
ü The remainder is the numerator of the fractional part of the
mixed fraction.
ü The denominator of the fractional part of the mixed fraction
corresponding to a given improper fraction is the same as that of the improper
fraction.
ü To multiply a fraction by an integer is to multiply the
numerator by the integer; the denominator is not changed. The product is to be
expressed in reduced form.
ü To multiply a mixed fraction by an integer, the mixed fraction
is first converted into an improper fraction.
23.
Mixed fraction =
= Improper fraction
24.
25.
‘of’ is tantamount to multiplication.
26.
Any fraction ×Reciprocal
of that fraction = 1
27.
To divide a fraction by a
fraction, we need to multiply the first fraction (dividend) by the reciprocal
of the second fraction (divisor).
28.
In the multiplier there is
one zero to the right of 1. The desired product is found by shifting the
decimal point one place to the right in the multiplicand. Example : 5.237 × 10
= 52.37
29.
In the multiplier there
are two zeros to the right of 1. The desired product is found by shifting the
decimal point two places to the right in the multiplicand. Example : 5.237 × 100 = 523.7
30.
What is called
percentage?
Ans: A percentage
is a number or ratio expressed as a fraction of 100.
It is often denoted using the percent sign, "%"
31.
More about percentage.
ü A percentage is a fraction whose denominator is 100.
ü To convert a fraction into percentage, the denominator needs to
be 100.
ü The fraction representing a percentage should be expressed in
its lowest terms.
32.
What is called profit?
Ans: Profit is made if selling price is more than the cost
price.
Profit = Selling price - Cost price
Percentage profit is calculated on the basis of the cost price.
33.
What is profit-principal?
Ans: Profit-principal = profit + principal
34.
What is called loss?
Ans: Loss is made if selling price is less than the cost price
Loss = Cost price -
Selling price.
Percentage loss is calculated
on the basis of the cost price.
35.
What is called interest?
Ans: Interest is
a fee paid by a borrower of assets to the owner as a form of compensation for the use of the
assets.
36.
What is called principal?
Ans: Money deposited in a bank is the 'principal'
37.
What is called rate of interest?
Ans: Interest earned by depositing 100 taka for 1 year is the
percentage rate of interest.
38.
Interest
=
39.
Percentage rate of interest =
40.
Principal
=
41.
What is the basic unit for measurement of length?
Ans: The basic unit for measurement of length is : Metre.
42.
What is called length?
Ans: Every bounded object or region has a definite linear measure.
This measure is called the length of the object or region.
43.
The basic unit for
measurement of weight is : Gram
44.
100 kilogram (kg) = 1
quintal
10quintal or 1000 kilogram = 1 metric ton
45.
What is the basic unit for measurement of volume of liquids?
Ans: The basic unit for measurement of volume of liquids is :
Litre.
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