Worksheet 1. CBSE-Class-VI-Mathematics. Knowing Our Numbers. 1. Tick ( ) the greatest and cross ( ) smallest number :

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1 Knowing Our Numbers Worksheet 1 1. Tick ( ) the greatest and cross ( ) smallest number : 2117, 5719, 10036, 2159, 7315, 41083, 80751, 32190, 76019, Make the smallest and the greatest 4-digit number using the digits 2, 7, 9, 3 only once. Smallest Greatest 3. Make the smallest and the greatest 4-digit number using the digits 1, 9, 0, 6 only once. Smallest Greatest 4. Make the smallest and the greatest 4-digit number using any four different digits such that : (a) 9 is always at hundreds place. (b) 3 is always at tens place. (c) 2 is always at thousands place. (d) 7 is always at ones place. 5. Write the smallest and the greatest 4-digit number using two different digits. Smallest Greatest 6. Write the smallest and the greatst 4-digit number using 2, 7 and 9. Smallest Greatest 7. Write the smallest and the greatest 4-digit number using 5, 0 and 6. Smallest Greatest 1

2 Knowing Our Numbers Worksheet 4 1. Express 63 km as m. 2. Express 6 kg as mg. 3. In 1991, the population of a town was 4,02,156. In 2001, it was increased by 46,409. Find the population of the town in A businessman had ` 4,02,920 in his bank account. He withdrew ` 1,10,575. How much money is left in his bank account? 5. On an average, a factory produces 4,625 bulbs a day. How many bulbs does the factory produce in the month of May? 6. The cost of 37 air tickets from New Delhi to Jaipur is ` 69,375. Find the cost of 1 air ticket. 4

3 Knowing Our Numbers Worksheet 5 1. Round off to the nearest tens : (a) 453 (b) 7,326 (c) 24, Round off to the nearest hundreds : (a) 847 (b) 4,972 (c) 62, Round off to the nearest thousands : (a) 4,507 (b) 18,297 (c) 2,57, Estimate : (a) (c) (b) (d) 739 1, A 3-digit number was rounded off to the nearest hundreds and the result was 800. Find the interval of the original number. 6. Write the Roman numerals for : (a) 27 (b) 42 (c) Write the Hindu-Arabic numerals for : (a) XVI (b) LIX (c) XCV 8. Cross ( ) which is meaningless : VV, XXXX, XL, CIX, VX 9. Can we write 45 as VL? 10. How many symbols are used in Roman numeration system? 11. At most how many times a symbol of Roman numeration system can be repeated? 12. Which symbols of the Roman numeration system are never subtracted? 5

4 Worksheet 9 Playing With Numbers 1. Underline the numbers which are divisible by : (i) 2 150, 347, 5626, 122, 155, 138. (ii) 3 147, 353, 108, 157, 6153, (iii) 4 332, 159, 284, 530, 21345, 620. (iv) 5 157, 210, 3715, 3133, , (v) , 628, 3159, 327, 5319, (vi) , 1635, 1070, 13200, 1454, (vii) , 1824, 2728, 82829, 143, Write a 4-digit number using all the digits 2, 3, 4 and 5 only once. (i) which is divisible by 4 (ii) which is divisible by 5 3. Fill in the blank with the smallest digit to make divisible by Fill in the blank with the smallest digit to make divisible by Fill in the blank with the smallest digit to make 353 divisible by A number is divisible by both 2 and 3. Is it also divisible by 6? 7. For a number to be divisible by 15, it shall be divisible by both and. 8. The sum of two consecutive odd numbers is always divisible by 4. Is it true?. 9. A number is divisible by 6 if it is divisible by both and. 10. Write the smallest 5-digit number which is divisible by 3. 9

5 Worksheet 11 Playing With Numbers Find the prime factorisation of each of the following : =

6 Playing With Numbers Worksheet Find the largest number that will divide 445, 572 and 699 leaving remainders 4, 5 and 6 respectively. 2. Determine the least 4-digit number which is exactly divisible by 6, 8 and Find the smallest number which when divided by 28 and 32 leaves remainders 8 and 12 respectively. 16

7 Worksheet 27 Negative Numbers and Integers Find the sum : ( 6) + ( 4) = ( 6) + ( 4) = ( 5) + ( 2) = ( 5) + ( 6) = ( 6) + ( 4) + 5 = ( 6) + ( 6) + 2 = ( 3) + ( 5) + ( 2) = ( 3) + ( 5) + ( 2) = ( 5) + ( 5) + ( 5) = ( 4) + ( 5) = ( 12) + ( 8) + 4 = ( 4) + ( 4) + ( 4) + 2 = ( 5) ( 5) 10 = ( 12) + ( 25) + 24 = 27

8 Algebra Worksheet State which of the following are equations with a variable. (i) = 6 (ii) x + 7 = 16 (iii) 7x + 6 > 12 (iv) 10 4x < 8 (v) 2y 9 = 24 (vi) 2 l + 7 < 10 (vii) 16 (7 2) + 8 = 10 (viii) 1 x + = 9 (ix) 10 > Write an equation for each of the following statements : (i) 4 less than x is 15 (ii) A number x divided by 9 is 5. (iii) 5 more than y is 9. (iv) 3 times a number x is 36 (v) The sum of x and y is 11 (vi) Twice the sum of x and y is 9 3. Write the LHS and RHS of the following equations : LHS RHS (i) x + 3 = 7 (ii) 2x = 8 x (iii) 17 = x 2 (iv) 3x + 1 = 7 2x (v) 7x 1 2 = Write a statement for : (i) 2x + 3 = 6 (ii) 4 y 10 = 1 42

9 Worksheet 53 Basic Geometrical Ideas 1. From the adjoining figure, name : (i) the longest line segment. (ii) the shortest line segment. (iii) the line segments whose one end point is C. (iv) all the line segments. 2. From the adjoining figure, name : (i) all the line segments. (ii) the line segments whose one end point is O. (iii) all the pairs of line segments which are parallel. 3. From the adjoining figure, name : (i) the longest line segment. (ii) the shortest line segment. (iii) the equal line segments. (iv) a pair of parallel line segments. (v) the mid-point of CD. 4. Which of the following statements are true : (i) The sharpened end of a pencil gives an idea of a point. (ii) The edge of a postcard gives an idea of a line. (iii) Two lines having one common point are called parallel lines. 53

10 Data Handling Worksheet 77 The following table shows the number of patients who visited OPD of a city hospital during a particular week. Day Monday Tuesday Wednesday Thursday Friday Saturday No. of patients Draw a pictograph to represent the above data : Using one symbol + to represent 10 patients and answer the following questions : (i) How many symbols represent the patients on Friday?. (ii) On which day maximum number of patients visited the hospital?. (iii) On which day minimum number of patients visited the hospital?. 77

11 Data Handling Worksheet 79 The following table shows the marks obtained by a student in an examination : Subject Hindi English Maths Science Social Sciences Drawing Marks obtained Draw a bar graph to represent the above data. Answer the following questions : (i) In how many subjects did he score less than 75 marks? (ii) In which two subjects did he score equal marks? (iii) In all how many marks did the student score in the examination? 79

IMPORTANT DEFINITIONS. Crores Lakhs Thousands Ones Period TC C TL L TTH TH H Tens Unit Place

IMPORTANT DEFINITIONS. Crores Lakhs Thousands Ones Period TC C TL L TTH TH H Tens Unit Place Chapter 1 Knowing our Numbers 1. Indian place value chart for 9-digit number. IMPORTANT DEFINITIONS Crores Lakhs Thousands Ones Period TC C TL L TTH TH H Tens Unit Place 2. International place value short