REVISION 01 (Integer,Fraction & decimal,Lines and angles)

                                           QUICK REVISION 01

       Chapters:- Integers,Fraction & decimals and Lines and angles

             CHAPTER - INTEGERS

TYPE 1  What is an integer.

Positive and negative numbers are integers eg …….-3,-2,-1,0,1,2,3,…….

TYPE 2 Represent integers on number line

Q1 Represent 6-4-5 on number line.

Q2 Represent -3x4 on number line.

TYPE 3 Finding absolute value of integers

Q1 Write absolute value of -6

Q2 Write absolute value of 4

TYPE 4 Add,Subtract ,multiply and divide of integers

Q1 Evaluate -3+10-6+99-36-40

Q2 Evaluate [22+3x17+(-53)]/5

TYPE 5 Compare integers

Q1 Arrange in descending order -1,10,0,-3,5,99,-100

Q2 Arrange in ascending order -99,54,89,70,-3,0

TYPE 6 Additive inverse

Q1 Write additive inverse of 5

Q2 Write additive inverse of -3

TYPE 7 Properties i.e Commutative, Associative , distributive etc

Q1 Distributive property  X x (Y+Z) = X x Y + X x Z

Q2 Commutative property  X x Y =Y x X

Q3 Associative property  ( X x y ) x Z = X x ( Y x Z)

TYPE 8 Day to day life involving simple problems from integers

Q1 The temperature of a place at 12 noon was 14⁰ C. It decreases by 3⁰  each hour. What was the temperature at 8 p.m ?

Q2. A boy has Rs.300 in his bank account. He deposits Rs 40 everyday for 10 days . What will be the amount in his account at the end of 10 days.

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	16	5
2	114	18
3	116	19
4	119	20
5	123	21
6	124	21
7	128	21
8	130	22
9	132	22
10	134	22

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CHAPTER – FRACTION AND DECIMAL

TYPE 1 Define fractions and its various types .

Q1. Define proper fraction and vulgar fraction.

TYPE 2 Addition and Subtraction of fractions

Q1 Add 1  + 5 

Q2 Subtract 3 1/7 – 8 1/9

TYPE 3 Multiplication/Division of fractions

Q1 Multiply 4/6 x 6/15

Q2 Divide 6/16 by 5/14

TYPE 4 Decimal number name

Q1 Write number name of 623.41

Q2 Write number name of 2156.1234

TYPE 5 Expanded form

Q1 Expand 3125.126

Q2 Expand 810.016

TYPE 6 Addition/ Subtraction of decimals

Q1 Add the decimals 3.14, 45.125, 52.145

Q2 Subtract 4.32 from 16.004

TYPE 7 Convert fractions into decimals

Q1 Convert into decimals 344/10

Q2 Convert into decimals 5/9

TYPE 8 Comparisons of decimals

Q1 Arrange in descending order

7.48 , 7.84 , 7.4 , 7.8 , 7.04

TYPE 9 Multiplication /Division of decimals  

Q1 i)  Multiply 34.54 x 100  ii) 58.34 x 1.23 

Q2. I) Divide 3.34 by 10   ii) 3.48 by 2.1

TYPE 10 Conversion of units

Q1  Convert 5 cm into metres

Q2. Convert 7312 gm into kg, hg, mg, dg.

TYPE 11 Application of fractions and decimals

Q1 Kanu purchased 2   kg of rice and 2  kg of wheat . What is the total weight of rice and wheat purchased by her.

Q2. The cost of 32 chairs of the same kind is Rs. 6432.16 Find the cost of one chair.

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	25	31
2	27	32
3	29	33
4	31	34
5	58	44
6	72	46
7	75	46
8	77	47
9	79	47
10	80	47

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CHAPTER – LINES AND ANGLES

TYPE 1 Some Important definations

 1. Point:-A fine dot made by a sharp pencil having no length ,breadth and height is called a point.

2. Line segment:-A geometrical figure obtained by joining two points is called a line segment. It has definite length.

3. Line:-If we extend the two end points in either direction endlessly , we get a line. It has no length.

4. Ray:-A ray has only one end point.

5. Angle:-Angle is formed when lines or lines segments meet.

TYPE 2 Different types of angles.

 1.  Complementary angles:-Two angles are said to be complementary if the sum of their measures is 90.

2. Supplementary angles:-Two angles are said to be Supplementary if the sum of their measures is 180

3.Adjacent angles:-Two angles are called adjacent angles if i) they have a common vertex

ii)They have a common arm

iii) Their other arms lie on the opposite sides of the common arm.

4. Linear pair:- Two adjacent angles are said to form a linear pair if their non common arms are two opposite rays.

5. Vertically opposite angles:- Two angles formed by two intersecting lines having no common arm are called vertically opposite angles.

TYPE 3 Types of lines

1. Intersecting lines:- Two lines are said to be intersecting if they have a point in common.

2. Transversal lines:- A line that intersects two or more lines at distinct points is called a transversal line.

3. Parrallel lines:- Two lines are said to be parallel if they lie in the same plane, they do not intersect when produced indefinitely in either direction.

 

TYPE 4 Angles formed by two intersecting lines

1.Corresponding angles

2.Alternate interior angles

3.Alternate angles

4.Alternate exterior angles.

Practice questions(integers) from Math’s Exemplar

S.no	Example/Question no	Page No
1	01	121
2	03	122
3	16	125
4	77	140
5	80	141
6	87	143
7	92	145
8	93	145
9	95	145
10	100	146

*These are minimum learning /practice questions

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Questions from Math’s Exemplar

Q 1 Write  a pair of integers whose product is -12 and there lies seven integers.(Q114)

Ans:- -2,6

Q 2 Write a positive and a negative integers whose sum is a negative integers.Q119 (TRY all parts )

 Ans:-( -15)+ ( 9) = -6

Q 3 Evaluate the following using distributive property.( Q124 try other parts)

i)                    -39 x 99

Ans;- à   -39 ( 100-1)

è ( -39 x 100 ) – ( -39) x ( -1)

è -3900 – 39

è -3861

Q 4 Height of a  place A is 1800m above sea level , Another place B is 700 m below sea level.What is the difference between the levels of these two places. ( Q 128)

Ans:- Distance of place A above sea level = 1800 m

Distance of place B below sea level = 700 m

Difference between the levels = 1800 – ( - 700)

è 1800 + 700

è 2500 m

Q 5 A green grocer had a profit of Rs.47 on Monday, a loss of Rs.12 on Tuesday and loss of Rs. 8 on Wednesday . Find his net profit or loss in 3 days. (Q131)

Ans:- Profit on Monday = Rs. 47

Loss on Tuesday =Rs -12

Loss on Wednesday = Rs.  -8

Total loss =  -12 + (-8)

è -12-8

è -20

Overall grocer had profit

è 47-20

è Rs.27

Questions from Math’s Exemplar

Q 6 Sana and Fatima participated in an apple race. The race was conducted in 6 parts.In the first part , sana won by 10 sec.In the second part she lost by 1 min (60 sec), then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part, Who won the race finally ? (Q130)

Ans:-     Time taken by sana in apple race (in 6 parts) (Won +, Loss -)

1 min= 60 sec

=+10-60+20-25-37+12

=-80 sec ( 1 min 20 sec)

Fatima won the race finally by 1 min 20 sec.

Q 7 In a test , +3 marks are given for every correct answers and -1 marks are given for every incorrect answers.Sona attempted all the questions and scored +20 marks though she got 10 correct answers.

i)                    How many incorrect answers has she attempted?

ii)                  How many questions was given in the test .(Q132)

 Ans       Marks for correct answers = +3

                Marks for incorrect answers =-1

Marks scored =+20

Marks scored by correct answers =10 x 3 = 30 marks

Marks reduced by incorrect answers = 10 x 1 = 10 marks

i)                    Total incorrect questions=10

ii)                  Total questions given in the test = 30

Q 8 In a true – false test containing 50 questions , a student is to be awarded 2 marks for every correct answers and -2 marks for every incorrect answers and 0 for not supplying any answer. If yash scored 94 marks in the test, What are the possibilities of his marking correct or wrond answers.Q(133)

Ans;-     Since yash scored 94 marks in the test. So minimum correct answers = 94/2 =47

Possibility of correct =47

Possibility of incorrect = 03

Q 9 A multistory building has 25 floors above the ground level each of height 5 m .It also has 3 floors in the basement each of height 5m.A lift in building moves at a rate of 1m/s.If a man starts from 50m above the ground , how long will it take him to reach at 2^nd floor of basement? ( Q 134)

Ans:-     No of floors above ground level=25

Height of each level = 5 m

Total height above ground level= 25 x 5

= 125 m

No of floors in the basement =3

Total height in the basement = 3 x 5

=15 m

Rate of lift = 1 m/s

Distance covered by man = 50m(above)+10m(basement i.e upto 2^nd floor)

= 60m

So time taken by man to reach at 2^nd floor of basement when he starts from 50 m above the ground is 60 sec.

Q10 Taking today as zero on the number line , if the day before yesterday is 17 January , What is the date 3 days after tomorrow? (Q135)

Ans:-     Day before yesterday = 17 Jan

Yesterday= 18 Jan

Today= 19 Jan

Tomorrow =20 Jan

3 Days after tomorrow = 20+3

=23 Jan

Q11  The highest point measured above sea level is the summit of Mt.everest which is 8,848 m above sea level and the lowest point is challenger deep at the bottom of Mariana Trench which is 10911m below sea level .What is the vertical distance between these two points.? (Q136)

Ans:-     Distance above sea level = 8848 m

Distance below sea level= 10911 m

Total vertical distance between these two points = 8848+10911

= 19759 m

Q12 You are at an elevation 380 m above sea level as you start a motor ride. During the ride , your elevation changes by the following meters . 540m,-268m,116m,-152m,490m,-844m,94m. What is your elevation relative to the sea level at the end of the ride? (Q123)

Ans:-     Elevation at the end of the ride

380+540-268+116-152+490-844+94 =356 m

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