QUESTION BANK CLASS 6 BASIC GEOMETRICAL IDEAS

 

 QUESTION BANK  CLASS 6 BASIC GEOMETRICAL IDEAS 

• How many lines can pass through two given points? 

          a) 2       b) 0         c) 1        d) infinitely

• In the given diagram, name the point in the exterior of ∠EOF   

          a) C              b) E                c) B               d) F

• In the given diagram, name the point in the interior of ∠DOE   
  
  
  

          a) C              b) E                c) B               d) A

• Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given. (3M) 

• Use the figure to name: 

(a) Five points      

(b) A line

(c) Four rays    

(d) Five line segments

• Name the angles in the given figure
• 

EXERCISE 4.1

1. Use the figure to name :

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

2. Name the line given in all possible (twelve) ways, choosing only two letters at a

time from the four given.

3. Use the figure to name :

(a) Line containing point E.

(b) Line passing through A.

(c) Line on which O lies

(d) Two pairs of intersecting lines.

4. How many lines can pass through (a) one given point? (b) two given points?

5. Draw a rough figure and label suitably in each of the following cases:

6. Consider the following figure of line MN  . Say whether following statements are true or false in context of the given figure. 

EXERCISE 4.2 

1. Classify the following curves as 

(i) Open or 

(ii) Closed. 

2. Draw rough diagrams to illustrate the following : 

(a) Open curve 

(b) Closed curve. 

3. Draw any polygon and shade its interior. 

4. Consider the given figure and answer the questions : 

(a) Is it a curve? 

(b) Is it closed? 

5. Illustrate, if possible, each one of the following with a rough diagram: 

(a) A closed curve that is not a polygon. 

(b) An open curve made up entirely of line segments. 

(c) A polygon with two sides.

EXERCISE 4.3 

1. Name the angles in the given figure. 

2. In the given diagram, name the point(s) 

(a) In the interior of ∠DOE 

(b) In the exterior of ∠EOF 

(c) On ∠EOF 

3. Draw rough diagrams of two angles such that they have 

(a) One point in common.

 (b) Two points in common. 

(c) Three points in common. 

(d) Four points in common.

(e) One ray in common. 

EXERCISE 4.4

1. Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior? 

2. (a) Identify three triangles in the figure. 

(b) Write the names of seven angles. 

(c) Write the names of six line segments. 

(d) Which two triangles have ∠B as common? 

EXERCISE 4.5 

1. Draw a rough sketch of a quadrilateral PQRS. 

Draw its diagonals. 

Name them. 

Is the meeting point of the diagonals in the interior or exterior of the quadrilateral? 

2. Draw a rough sketch of a quadrilateral KLMN. 

State, (a) two pairs of opposite sides, 

(b) two pairs of opposite angles, 

(c) two pairs of adjacent sides, 

(d) two pairs of adjacent angles. 

3. Investigate : 

Use strips and fasteners to make a triangle and a quadrilateral. 

Try to push inward at any one vertex of the triangle. 

Do the same to the quadrilateral. 

Is the triangle distorted? 

Is the quadrilateral distorted? 

Is the triangle rigid? 

Why is it that structures like electric towers make use of triangular shapes and not quadrilaterals?

EXERCISE 4.6 

• 1. From the figure, identify : 
• 
• (a) the centre of circle 
• (b) three radii 
• (c) a diameter 
• (d) a chord 
• (e) two points in the interior 
• (f) a point in the exterior 
• (g) a sector 
• (h) a segment 
• 2. (a) Is every diameter of a circle also a chord? 
• (b) Is every chord of a circle also a diameter? 
• 3. Draw any circle and mark 
• (a) its centre 
• (b) a radius 
• (c) a diameter 
• (d) a sector 
• (e) a segment 
• (f) a point in its interior 
• (g) a point in its exterior 
• (h) an arc 
• 4. Say true or false : 
• (a) Two diameters of a circle will necessarily intersect. 
• (b) The centre of a circle is always in its interior. 

POINTS TO REMEMBER

• 1. A point determines a location. It is usually denoted by a capital letter. 
• 2. A line segment corresponds to the shortest distance between two points. The line segment joining points A and B is denoted by AB.
• 3. A line is obtained when a line segment like AB is extended on both sides indefinitely; it is denoted by AB s ruu or sometimes by a single small letter like l. 
• 4. Two distinct lines meeting at a point are called intersecting lines. 
• 5. Two lines in a plane are said to be parallel if they do not meet. 
• 6. A ray is a portion of line starting at a point and going in one direction endlessly. 
• 7. Any drawing (straight or non-straight) done without lifting the pencil may be called a curve. In this sense, a line is also a curve. 
• 8. A simple curve is one that does not cross itself. 
• 9. A curve is said to be closed if its ends are joined; otherwise it is said to be open. 
• 10. A polygon is a simple closed curve made up of line segments. Here, 
• (i) The line segments are the sides of the polygon. 
• (ii) Any two sides with a common end point are adjacent sides. 
• (iii) The meeting point of a pair of sides is called a vertex. 
• (iv) The end points of the same side are adjacent vertices. 
• (v) The join of any two non-adjacent vertices is a diagonal. 
• 11. An angle is made up of two rays starting from a common starting/initial point. 
• Two rays OA u ruu and OB u ruu make ∠AOB(or also called ∠BOA ). 
• An angle leads to three divisions of a region: On the angle, the interior of the angle and the exterior of the angle. 
• 12. A triangle is a three-sided polygon. 
• 13. A quadrilateral is a four-sided polygon. (It should be named cyclically). 
• In any quadrilateral ABCD, AB & DC and AD & BC are pairs of opposite sides. 
• ∠A & ∠C and ∠B & ∠D are pairs of opposite angles. 
• ∠A is adjacent to ∠B & ∠D ; similar relations exist for other three angles. 
• 14. A circle is the path of a point moving at the same distance from a fixed point. 
• The fixed point is the centre, 
• the fixed distance is the radius and the distance around the circle is the circumference. 
• A chord of a circle is a line segment joining any two points on the circle. 
• A diameter is a chord passing through the centre of the circle. 
• A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides. 
• A segment of a circle is a region in the interior of the circle enclosed by an arc and a chord. 
• The diameter of a circle divides it into two semi-circles

QUESTION BANK CLASS 6 KNOWING OUR NUMBERS

 QUESTION BANK - CLASS 6 -KNOWING OUR NUMBERS

Click here For quiz

• 1 crore  = _____ million

 a) 9    
b) 10          
c) 100       
d) 1000

• The greatest five digit number is ____

a) 9999  
b) 99999           
c) 10000       
d) 100000

• How many natural numbers are there between 1 and  10?

a) 6   
b) 7         
c) 8       
d) 9

• 1 lakh  = _____ ten thousand

a) 999999    

b) 99999           

c) 100000       

d) 10000

• Q1. The greatest of the numbers 3146, 3157, 31548, 31692 is

a) 314

b) 57

c) 5486

d) 60000

• Q2. Which of the following number is equal to 1 lakh?

a) 1 thousand

b) 10 thousand

c) 100 thousand

d) 1000 thousand

• Q3. How many lakh will make 1 million?

a) 10

b) 100

c) 1000

d) 10000

• Q4. How many million will make 1 crore?

a) 10

b) 100

c) 1000

d) 10000

• Q5. The greatest 3 digit number is __ *

a) 99

b) 100

c) 999

d) 1000

• Q6. The smallest of the numbers 7536,7521,7548,7532 is ___

a) 7536

b) 7521

c) 7548

d) 7532

• Q7. Arrange in Descending order 123,132,231.1234

a) 123,132,231,1234

b) 1234,231,123,132
c) 1234,231,132,123

d) 123,1234,132,231

• Q8. Arrange in Ascending order 4567, ,456,45678

a) 45678,456,4567.45

b) 45,456,4567,45678
c) 45678,4567,456,45

d)  45,456,45678,4567

• Q9. The Roman numeral D is equal to

a) 10

b) 50

c) 100

d) 500

• Q10. The Number 10 represents in Roman numeral is

a) V

b) X

c) M

d) I

• The greatest five digit number is 

a)99998            

b)99999       

c)10000        

d) 99990

• Estimate:(rounding off) appying General rule -  87x313   is

a)90x300           

b)90x310          

c)87x313          

d)80x313

• Roman numeral of 92 is

a)XCII            

b)XCIII        

c)LXXIII         

d)none

• using the digits 1,5,7,2 without repetition, the greatest 4-digit number that can be made is 

a) 7521

b) 7512

c) 7215

d) 1257

• using the digits 3,5,7,0 without repetition, the greatest 4-digit number that can be made is 

a) 7503

b) 7530

c) 7350

d) 0357

• The smallest 4-digit number that can be made using the digits 1,8,5,3 without repetition is

a) 8531

b) 3581

c) 1358

d) 1538

• Make the greatest 4-digit number by using any one digit of  2,6,5 twice

a) 2556

b) 6552

c) 2655

d) 6652

• Which of the following number is equal to 1 crore?

a) 10 thousand        

b) 100 thousand 

c) 10 million 

d) 100 million

• 1 million = _____ lakh
• Write in Roman Numerals 69 & 98

• 
  

• A book exhibition was held for four days in a school. The number of tickets sold at the

  counter on the first, second, third and final day was respectively 1094, 1812, 2050 and

  2751. Find the total number of tickets sold on all the four days.

• Place commas correctly and write the numerals: Seventy-three lakh seventy-five thousand three hundred seven.

• 7) Write XC in Hindu-Arabic numerals.

EXTRA TRY THESE QUESTIONS

• Estimate the following products using general rule 578 X161
• Insert commas suitably and write the names according to Indian 
• System of numeration 87595762
• Place commas correctly and write the numerals 
• Seventy three lakhs seventy five thousand three hundred seven
• Sekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. how many more runs does he need?
• A vessel has 4 litres and 500 ml of curd. In how many glasses each of 25 ml capacity, can it be filled? (4M)
• A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?
• Place commas correctly and write the numerals:- (2m) Fifty-eight million four hundred twenty-three thousand two hundred two.
• Place commas correctly and write the numerals:- Seven crore fifty-two lakh twenty-one thousand three hundred two.(2M)
• In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?(3M)
• Use the given digits without repetition and make the greatest and smallest 4-digit numbers. (a) 2, 8, 7, 4 (b) 9, 7, 4, 1 (c) 4, 7, 5, 0 (d) 1, 7, 6, 2 (e) 5, 4, 0, 3 (Hint : 0754 is a 3-digit number.) 
• Now make the greatest and the smallest 4-digit numbers by using any one digit twice. (a) 3, 8, 7 (b) 9, 0, 5 (c) 0, 4, 9 (d) 8, 5, 1 (Hint : Think in each case which digit will you use twice.) 
• 9 + 1 = 10 = 10 × 1 
• 99 + 1 = 100 = 10 × 10 
• 999 + 1 = 1000 = 10 × 100
• 9 + 1 = 10 
• 99 + 1 = 100 
• 999 + 1 = _______ 
• 9,999 + 1 = _______ 
• 99,999 + 1 = _______ 
• 9,99,999 + 1 = _______ 
• 99,99,999 + 1 = 1,00,00,000 
• What is 10 – 1 =? 
• 2. What is 100 – 1 =? 
• 3. What is 10,000 – 1 =? 
• 4. What is 1,00,000 – 1 =? 
• 5. What is 1,00,00,000 – 1 =?
• Read these numbers. Write them using placement boxes and then write their expanded forms. (i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094 
• (a) Which is the smallest number? 
• (b) Which is the greatest number? 
• (c) Arrange these numbers in ascending and descending orders.
•  2. Read these numbers. (i) 527864 (ii) 95432 (iii) 18950049 (iv) 70002509 
• (a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.. 
• (b) Arrange these in ascending and descending order. 
• (a) Forty two lakh seventy thousand eight. 
• (b) Two crore ninety lakh fifty five thousand eight hundred. 
• (c) Seven crore sixty thousand fifty five
• 1. You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6 digits.  
• (a) Put commas for easy reading. 
• (b) Arrange them in ascending and descending order. 
• Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading. 
• From the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas. 
• How many centimetres make a kilometre? 
• Name five large cities in India. Find their population. Also, find the distance in kilometres between each pair of these cities
• How many millimetres make 1 kilometre? 
• How many milligrams make one kilogram? 
•  A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms?
• Round these numbers to the nearest tens.   28 32 52 41 39 48 64 59 99 215 1453 2936
• Estimate: 5,290 + 17,986.
• Estimate: 5,673 – 436.
• Estimate the following products : (a) 87 × 313 (b) 9 × 795 (c) 898 × 785 (d) 958 × 387 Make five more such problems and solve them. 
• Write the expressions for each of the following using brackets.

 (a) Four multiplied by the sum of nine and two. 
(b) Divide the difference of eighteen and six by four. 
(c) Forty five divided by three times the sum of three and two. 

• 2. Write three different situations for (5 + 8) × 6. (One such situation is : Sohani and Reeta work for 6 days; Sohani works 5 hours a day and Reeta 8 hours a day. How many hours do both of them work in a week?)
•  3. Write five situations for the following where brackets would be necessary. 

(a) 7(8 – 3) (b) (7 + 2) (10 – 3)

• Write in Roman Numerals (a) 69 (b) 98.

RAMAN'S SHOP

• 
  
  
  
• The sales during the last year 
• Apples 2457 kg 
• Oranges 3004 kg 
• Combs 22760 
• Tooth brushes 25367 
• Pencils 38530
• Note books 40002 
• Soap cakes 20005 
• (a) Can you find the total weight of apples and oranges Raman sold last year?
•  Weight of apples = __________ kg 
• Weight of oranges = _________ kg 
• Therefore, total weight = _____ kg + _____ kg = _____ kg 
• Answer – The total weight of oranges and apples = _________ kg. 
• (b) Can you find the total money Raman got by selling apples? 
• (c) Can you find the total money Raman got by selling apples and oranges together?
• (d) Make a table showing how much money Raman received from selling each item. Arrange the entries of amount of money received in descending order. Find the item which brought him the highest amount. How much is this amount?
• A bus started its journey and reached different places with a speed of 60 km/hour. The journey is shown on page 14.
•  (i) Find the total distance covered by the bus from A to D. 
• (ii) Find the total distance covered by the bus from D to G. 
• (iii) Find the total distance covered by the bus, if it starts from A and returns back to A. 
• (iv) Can you find the difference of distances from C to D and D to E?
• (v) Find out the time taken by the bus to reach (a) A to B (b) C to D (c) E to G (d) Total journey
• 
  
  
  

EXERCISE 1.1

ONE MARK QUESTIONS

• Fill in the blanks:
• (a) 1 lakh = _______ ten thousand.
• (b) 1 million = _______ hundred thousand.
• (c) 1 crore = _______ ten lakh.
• (d) 1 crore = _______ million.
• (e) 1 million = _______ lakh.
• 2. Place commas correctly and write the numerals:
• (a) Seventy three lakh seventy five thousand three hundred seven.
• (b) Nine crore five lakh forty one.
• (c) Seven crore fifty two lakh twenty one thousand three hundred two.
• (d) Fifty eight million four hundred twenty three thousand two hundred two.
• (e) Twenty three lakh thirty thousand ten.

TWO MARK QUESTIONS

• 3. Insert commas suitably and write the names according to Indian System of Numeration : (a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701
• 4. Insert commas suitably and write the names according to International System of Numeration : (a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831

EXERCISE 1.2

THREE/FIVE MARK QUESTIONS

• Population of Sundarnagar was 2,35,471 in the year 1991. In the year 2001 it was found to be increased by 72,958. What was the population of the city in 2001?
• In one state, the number of bicycles sold in the year 2002-2003 was 7,43,000. In the year 2003-2004, the number of bicycles sold was 8,00,100. In which year were more bicycles sold? and how many more? 
• The town newspaper is published every day. One copy has 12 pages. Everyday 11,980 copies are printed. How many total pages are printed everyday?
• The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
•  A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days. 
• Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need? 
• In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election? 
• Kirti bookstore sold books worth ` 2,85,891 in the first week of June and books worth ` 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much? 
• Find the difference between the greatest and the least 5-digit number that can be written using the digits 6, 2, 7, 4, 3 each only once.
• A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006? 
• A merchant had ` 78,592 with her. She placed an order for purchasing 40 radio sets at ` 1200 each. How much money will remain with her after the purchase? 
• A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?) 

To stitch a shirt, 2 m 15 cm cloth is needed. Ou`20

t of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint: convert data in cm.) 

• Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg? 11. The distance between the school and a student’s house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days. 
• A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

POINTS TO REMEMBER

• Ascending order means arrangement from the smallest to the greatest. 
• Descending order means arrangement from the greatest to the smallest
• Greatest single digit number + 1 = smallest 2-digit number 
• Greatest 2-digit number + 1 = smallest 3-digit number 
• Greatest 3-digit number + 1 = smallest 4-digit number
• 99 is the greatest 2-digit number. 
• The greatest 3-digit number is 999
• The greatest 4-digit number is 9999
• 1 hundred = 10 tens 
• 1 thousand = 10 hundreds = 100 tens 
• 1 lakh = 100 thousands = 1000 hundreds 
• 1 crore = 100 lakhs = 10,000 thousands
• The smallest 8-digit number is called one crore.
• To write the numeral for a number  
• 1 kilometre = 1000 metres
•  1 metre = 100 centimetres or 1000 millimetres 
• 10 millimetres = 1 centimetre
• 1 metre = 100 centimetres = 1000 millimetres
• 1 kilometre = 1000 metres 
• 1 m = 1000 mm 
• 1 km = 1000 m = 1000 × 1000 mm = 10,00,000 mm
• 1 kilogram = 1000 grams.
• 1 gram = 1000 milligrams.
• 1 litre = 1000 millilitres. 
• e kilo is the greatest and milli is the smallest;
•  kilo shows 1000 times greater, milli shows 1000 times smaller, 
• i.e. 1 kilogram = 1000 grams, 
• 1 gram = 1000 milligrams. 
•  centi shows 100 times smaller,
•  i.e. 1 metre = 100 centimetres. 
• 1. Given two numbers, one with more digits is the greater number. If the number of digits in two given numbers is the same, that number is larger, which has a greaterleftmost digit. If this digit also happens to be the same, we look at the next digit andso on.
• 2. In forming numbers from given digits, we should be careful to see if the conditions under which the numbers are to be formed are satisfied. Thus, to form the greatestfour digit number from 7, 8, 3, 5 without repeating a single digit, we need to use allfour digits, the greatest number can have only 8 as the leftmost digit.
• 3. The smallest four digit number is 1000 (one thousand). It follows the largest three digit number 999. Similarly, the smallest five digit number is 10,000. It is ten thousanand follows the largest four digit number 9999.
• Further, the smallest six digit number is 100,000. It is one lakh and follows the largest five digit number 99,999. This carries on for higher digit numbers in a similar manner.
• 4. Use of commas helps in reading and writing large numbers. In the Indian system of numeration we have commas after 3 digits starting from the right and thereafter every 2 digits. The commas after 3, 5 and 7 digits separate thousand, lakh and crore respectively. In the International system of numeration commas are placed after every 3 digits starting from the right. The commas after 3 and 6 digits separate thousand and million respectively.
• 5. Large numbers are needed in many places in daily life. For example, for giving number of students in a school, number of people in a village or town, money paid or received in large transactions (paying and selling), in measuring large distances say between various cities in a country or in the world and so on.
• 6. Remember kilo shows 1000 times larger, Centi shows 100 times smaller and milli shows 1000 times smaller, thus, 1 kilometre = 1000 metres, 1 metre = 100 centimetres or 1000 millimetres etc.
• 7. There are a number of situations in which we do not need the exact quantity but need only a reasonable guess or an estimate. For example, while stating how many spectators watched a particular international hockey match, we state the approximate number, say 51,000, we do not need to state the exact number.

EXERCISE 1.3 

• 1. Estimate each of the following using general rule: 

(a) 730 + 998
 (b) 796 – 314 
(c) 12,904 +2,888 
(d) 28,292 – 21,496 

Make ten more such examples of addition, subtraction and estimation of their outcome. 

• 2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens) : 

(a) 439 + 334 + 4,317 
(b) 1,08,734 – 47,599 
(c) 8325 – 491 
(d) 4,89,348 – 48,365 

Make four more such examples. 

• 3. Estimate the following products using general rule: 

(a) 578 × 161 

(b) 5281 × 3491 

(c) 1291 × 592 

(d) 9250 × 29 

Make four more such examples

QUESTION BANK CLASS 6 WHOLE NUMBERS

 QUESTION BANK  CLASS 6 WHOLE NUMBERS

• Which is the smallest whole number?

a) 0

b) 1

c) 2              
d) 4

Which of the following is not represent 0?

a) 1+0           b) 0 x 0         c)                d) 

• The smallest whole number is    

 a) 1             
 b) 2                 
c) 3               
d) 0

• The predecessor of 94 is

a) 92            
b) 93                
c) 91            
d) 95

•  One Crore = _________ Million.

 a) 10          

b) 100

c) 1            

d) 1000

• 9999 + 1 = ________

a) 100         

b) 1000            

c) 10000       

d) 100000

• The successor of 100199 is

a) 100198            

b) 100990                

c) 100200            

d) 10200

• The predecessor of 10000 is

a) 99999            

b) 9999                

c) 100001             

d) 10001

• The Smallest six digit number is ____

a) 999999    

b) 99999           

c) 100000       

d) 1000000

• The whole number _____ lies between 11 and 12.

a) 10           

b) 11                 

c) 13               

d) 14

• The smallest whole number is

a)1              

b)2             

c)3           

d)0

• The predecessor of 94 is

a)92            

b)93          

c)91          

d)91

• State –True or false    The whole number 13 lies between 11 and 12
• 
  
• The whole number _____ lies between 10 and 12.
• 999 + 1=____
• Write the next three natural numbers after 10999.(3M)
• How many whole numbers are there between 32 and 53? (2m)
• Give rough estimate(By rounding off to nearest hundreds)      8325 – 491
• Find the sum by suitable rearrangement:-       837+208+363
• Find the product using suitable property:-       854x102.

• Write True or False. All natural numbers are whole numbers.

• How many whole numbers are there between 32 and 53?

• Find the product using suitable properties:  854 x 102

•  Estimate of 578 x 161

EXERCISE 2.1

• Write the next three natural numbers after 10999.

• 2. Write the three whole numbers occurring just before 10001.(3M)
• 
  
• 3. Which is the smallest whole number?

• 4. How many whole numbers are there between 32 and 53? (2M)

• 5. Write the successor of : (a) 2440701 (b) 100199 (c) 1099999 (d) 2345670

• 6. Write the predecessor of : (a) 94 (b) 10000 (c) 208090 (d) 7654321

• Find the product using suitable properties: 738 x 103

•  In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.

(a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 9830415, 10023001

• 8. Which of the following statements are true (T) and which are false (F) ?

• (a) Zero is the smallest natural number. (b) 400 is the predecessor of 399.

• (c) Zero is the smallest whole number. (d) 600 is the successor of 599.

• (e) All natural numbers are whole numbers.

• (f) All whole numbers are natural numbers.

• (g) The predecessor of a two digit number is never a single digit number.

• (h) 1 is the smallest whole number.

• (i) The natural number 1 has no predecessor.

• (j) The whole number 1 has no predecessor.

• (k) The whole number 13 lies between 11 and 12.

• (l) The whole number 0 has no predecessor.

• (m) The successor of a two digit number is always a two digit number.

EXERCISE 2.2

• Add the numbers 234, 197 and 103.

• Find 14 + 17 + 6 in two ways.

• Find 12 × 35

• Find 8 × 1769 × 125

• The school canteen charges ₹ 20 for lunch and  ₹4 for milk for each day. How much money do you spend in 5 days on these things?

• Find 12 × 35 using distributivity.

• Simplify: 126 × 55 + 126 × 45

• Find the sum by suitable rearrangement:

(a) 837 + 208 + 363 (b) 1962 + 453 + 1538 + 647

• 2. Find the product by suitable rearrangement:

(a) 2 × 1768 × 50 (b) 4 × 166 × 25 (c) 8 × 291 × 125
(d) 625 × 279 × 16 (e) 285 × 5 × 60 (f) 125 × 40 × 8 × 25

• 3. Find the value of the following (a) 297 × 17 + 297 × 3 (b) 54279 × 92 + 8 × 54279 

(c) 81265 × 169 – 81265 × 69 (d) 3845 × 5 × 782 + 769 × 25 × 218

• 4. Find the product using suitable properties.

(a) 738 × 103 (b) 854 × 102 (c) 258 × 1008 (d) 1005 × 168

• 5. A taxidriver filled his car petrol tank with 40 litres of petrol on Monday. The next day, he filled the tank with 50 litres of petrol. If the petrol costs ` 44 per litre, how much did he spend in all on petrol?

• A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs ₹45 per litre, how much money is due to the vendor per day?

• 7. Match the following:

• (i) 425 × 136 = 425 × (6 + 30 +100) (a) Commutativity under multiplication.

• (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition.

• (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition.

EXERCISE 2.3

• Which of the following will not represent zero:    (a) 1 + 0 (b) 0 × 0 (c) 0/2  (d) (10 - 10) / 2

• 2. If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
• 3. If the product of two whole numbers is 1, can we say that one or both of them will be
• 1? Justify through examples.
• 4. Find using distributive property :
• (a) 728 × 101 (b) 5437 × 1001 (c) 824 × 25 (d) 4275 × 125 (e) 504 × 35
• 5. Study the pattern :
• 1 × 8 + 1 = 9 1234 × 8 + 4 = 9876
• 12 × 8 + 2 = 98 12345 × 8 + 5 = 98765
• 123 × 8 + 3 = 987
• Write the next two steps. Can you say how the pattern works?
• (Hint: 12345 = 11111 + 1111 + 111 + 11 + 1)

EXTRA TRY THESE QUESTIONS

• Write the predecessor and successor of 19; 1997; 12000; 49; 100000.
• Is there any natural number that has no predecessor?
• Is there any natural number which has no successor? Is there a last natural number?
• Are all natural numbers also whole numbers?
• Are all whole numbers also natural numbers?
• Which is the greatest whole number?
• Find 4 + 5; 2 + 6; 3 + 5  and 1+6 using the number line.
• Find 8 – 3; 6 – 2; 9 – 6 using the number line.
• Find 2 × 6; 3 × 3; 4 × 2 using the number line.

• 1. Which numbers can be shown only as a line?
• 2. Which can be shown as squares?
• 3. Which can be shown as rectangles?
• 4. Write down the first seven numbers that can be arranged as triangles,
• e.g. 3, 6, ...
• 5. Some numbers can be shown by two rectangles, for example, 3X4; 2X6
• Give at least five other such examples.

POINTS TO REMEMBER

• The natural numbers along with zero form the collection of WHOLE NUMBERS.
• Every natural number has a successor. 
• Every whole number has a successor. 
• Every whole number except zero has a predecessor. 
• All natural numbers are whole numbers, but all whole numbers are not natural numbers
• Every natural number except 1 has a predecessor.
• 1. The numbers 1, 2, 3,... which we use for counting are known as natural numbers.
• 2. If you add 1 to a natural number, we get its successor. If you subtract 1 from a natural number, you get its predecessor.
• 3. Every natural number has a successor. Every natural number except 1 has a predecessor.
• 4. If we add the number zero to the collection of natural numbers, we get the collection of whole numbers. Thus, the numbers 0, 1, 2, 3,... form the collection of whole numbers.
• 5. Every whole number has a successor. Every whole number except zero has a predecessor.
• 6. All natural numbers are whole numbers, but all whole numbers are not natural numbers.
• 7. We take a line, mark a point on it and label it 0. We then mark out points to the right of 0, at equal intervals. Label them as 1, 2, 3,.... Thus, we have a number line with the whole numbers represented on it. We can easily perform the number operations of addition, subtraction and multiplication on the number line.
• 8. Addition corresponds to moving to the right on the number line, whereas subtraction corresponds to moving to the left. Multiplication corresponds to making jumps of equal distance starting from zero.
• 9. Adding two whole numbers always gives a whole number. Similarly, multiplying two
• whole numbers always gives a whole number. We say that whole numbers are closed under addition and also under multiplication. However, whole numbers are not closed under subtraction and under division.
• 10. Division by zero is not defined.
• 11. Zero is the identity for addition of whole numbers. The whole number 1 is the identity for multiplication of whole numbers.
• 12. You can add two whole numbers in any order. You can multiply two whole numbers inany order. We say that addition and multiplication are commutative for whole numbers.

• 13. Addition and multiplication, both, are associative for whole numbers.
• 14. Multiplication is distributive over addition for whole numbers.
• 15. Commutativity, associativity and distributivity properties of whole numbers are useful in simplifying calculations and we use them without being aware of them.
• 16. Patterns with numbers are not only interesting, but are useful especially for verbal calculations and help us to understand properties of numbers better.
• the number 1 has no predecessor in natural numbers
• The natural numbers along with zero form the collection of whole numbers.
• The distance between these points labelled as 0 and 1 is called unit distance.
• Out of any two whole numbers, the number on the right of the other number is the greater number.
• We can also say that whole number on left is the smaller number.
• sum of any two whole numbers is a whole number i.e. the collection of whole numbers is closed under addition. This property is known as the closure property for addition of whole numbers
• whole numbers is closed under multiplication
  

Closure property :

•  Whole numbers are closed under addition and also under multiplication
• The whole numbers are not closed under subtraction and division.
• Division of a whole number by 0 is not defined.

Commutativity of addition and multiplication

• Addition is commutative for whole numbers. This property is known as commutativity for addition.
• multiplication is commutative for whole numbers
• addition and multiplication are commutative for whole numbers.
• Subtraction is not commutative for whole numbers.

Associativity of addition and multiplication

• Zero is called an identity for addition of whole numbers or additive identity for whole numbers.
• Zero has a special role in multiplication too. Any number when multiplied by zero becomes zero!

• 1 is the identity for multiplication of whole numbers or multiplicative identity for whole numbers.

• Every number can be arranged as a line;
• The number 6 can be shown as l l l
• a rectangle
• Some numbers like 4 or 9 can also be arranged as squares;
• Some numbers can also be arranged as triangles.3,6

• (a) 117 + 9 = 117 + 10 – 1 = 127 – 1 = 126
• (b) 117 – 9 = 117 – 10 + 1 = 107 + 1 = 108
• (c) 117 + 99 = 117 + 100 – 1 = 217 – 1 = 216
• (d) 117 – 99 = 117 – 100 + 1 = 17 + 1 = 18
  

NEW PATTERN

• (a) 84 × 9 = 84 × (10 – 1) 

• (b) 84 × 99 = 84 × (100 – 1)
• (c) 84 × 999 = 84 × (1000 – 1)

• The following pattern suggests a way of multiplying a number by 5 or 25 or 125.

 CLASS 07 ORAL TEST TERM2 

 WATCH IT ON FLIP BOOK : CLICK HERE

Class 7 Maths oral test

Periodic test 2

Write denominator of given rational number : 5 

(a) 1 

(b) 0 

(c) 3 

(d) none of these 

The numbers ________ and ________ are their own reciprocals. 

(a) -1 and 0 

(b) 1 and 0 

(c) 1 and -1 

(d) None of these

How many lines can draw from a given point. 

(a) 1 

(b) 2 

(c) Infinite 

(d) None of these 

Find the area of a circle having radius 14 cm. 

(a) 196 cm2 

(b) 308 cm2 

(c) 616 cm2 

(d) None of these 

Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. 

(a) 20 m 

(b) 5 m 

(c) 15 m 

(d) 10 m 

One of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram. 

(a) 12 cm2 

(b) 7 cm2 

(c) 6 cm2 

(d) None of these

A gardener wants to fence a circular garden of diameter 14 m. Find the length of the rope he needs to purchase. 

(a) 44 m 

(b) 28 m 

(c) 88 m 

(d) None of these 

The area of triangle is 

(a) (1/2 ) × base × height 

(b) (1/2  ) × (base + height) 

(c) base 

(d) height 

Find radius of a circle of diameter 9.8 m. 

(a) 4.9 m 

(b) 19.6 m 

(c) 10 m 

(d) None of these

Write an expression : Raju s father s age is 5 years more than 3 times Raju s age. If Raju s age is x years, then father’s age is 

(a) 3x – 5 

(b) 3x + 7 

(c) 5 – 3x 

(d) 3x + 5 

For what value of ‘m’ is 9 − 5m = (−1)? 

(a) −1 

(b) −2 

(c) 2 

(d) 1 

An expression which contains two unlike terms is called _______. 

(a) binomial 

(b) monomial 

(c) trinomial 

(d) None of these 

The number z is multiplied by itself, write its algebraic expression.

 (a) 2z 

(b) z2 

(c) 2z 

(d) None of these 

Get the algebraic expression of subtraction of z from y. 

(a) z – y 

(b) y – z 

(c) – z + y 

(d) None of these 

Find the value of 7a – 4b if a = 3, b = 2. 

(a) 17 

(b) 29 

(c) 13 

(d) None of these

What is the co-efficient of y in the given algebraic expression 8 + yz. 

(a) 8 

(b) 1 

(c) z 

(d) None of these

Identify the co-efficient of x in the given expression : 4x – 3y. 

(a) 4 

(b) -3 

(c) 4x 

(d) None of these