DAV PUBLIC SCHOOLS, ODISHA ZONE-II

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DAV PUBLIC SCHOOLS, ODISHA ZONE-IIQUESTION BANK FOR SA – I (2016 – 17)SUB –MATHEMATICSCLASS – VISECTION – A (Each Question Carries 1 Mark)1. The greatest 2 digit number exactly divisible by 17 is(a) 68(b) 91(c) 85(d) 972. The difference between the smallest and largest prime numbers between 6 and 18 is(a) 4(b) 6(c) 8(d) 10(c) 3:2(d) 3:53. The ratio of a dozen to a score is(a) 5:3(b) 2:34. One end point of a line segment AB is against the mark 2 and other at mark 9 of a scale. What is thelength of line segment AB ?(a) 6 cm(b) 7 cm(c) 9 cm(d) 11 cm5. The greatest 2-digit number exactly divisible by 19 is(a) 68(b) 91(c) 95(d) 90(c) 1(d) none of these(c) 3 :4(d) none of these(c) 4(d) none of these6. The HCF of 101 and 103 is(a) 101(b) 1037. The ratio of one dozen to one score is(a) 3:5(b) 5 : 38. The number of diagonal in a pentagon is(a) 2(b) 39. The predecessor of the smallest five digit number is:a) 9997(b) 9999(c) 9998(d) 10001(c) 9(d) 310. The smallest odd prime number is:(a) 5(b) 711. The ratio of 13 weeks to 1 year in simplest form is:(a) 13: 1(b) 13:365(c) 1: 4(d) 13:1212. Three or more lines in a plane which pass through the same point are called:(a) Intersecting lines(b) Parallel lines(c) Concurrent lines(d) None of these.13. The difference of the greatest three number digit number and two digit number is:(a) 100(b) 1(c) 10(d) 9914. The HCF of two consecutive odd number is:(a) 1(b)(c)0(d) non-existent15. A picture is 60 cm wide and 1.8 m long. The ratios of the width to its length in lowest form is(a) 1:2(b)1:3(c)1:4(d)1:8(c) Divider(d) Compasses(c) XCIV(d) XXVI(c) 1(d) 416. The instrument to draw a circle is(a) Ruler(b) Protractor17. CXIX - XXV.(a) XXVI(b) XIV18. HCF of two prime number is(a) 2(b) 3

19. The ratio of even numbers to odd numbers in a set of natural numbers from 1 to 25 is(a) 13:12(b) 12:13(c) 1:25(d) 11:1320. lines can pass through one given point in a plane(a) 1(b) 2(c) many(d) 4(c) VL(d) LV21. Which of the following is meaningless?(a) LXXXV(b) XCIX22. Which of the following numbers are co-prime?(a) 8, 20(b) 34, 85(c) 26, 39(d) 31, 5923. 4, 8, are in continued proportion.(a) 12(b) 16(c) 64(d) None of these24. Comparison of the line segments can be done by –(a) observation(b) tracing(c) using a divider(d) All of these25. How many lakhs make 5 millions ?26. A number is divisible by 6 if it is divisible by its two co-prime factors and .27. A ratio is always expressed in its form.28. The number of diagonals in a pentagon is(a) 2(b) 3(c) 4(d) 529. The greatest 2-digit number exactly divisible by 17 is(a) 68(b) 91(c) 85(d) 9730. Which of the following is the only even prime number?(a) 2(b) 3(c) 5(d) 731. The ratio of 21 days to 3 weeks in the simplest form is(a) 21:3(b) 21:21(c) 1:1(d) 5:332. The number of diagonals in a pentagon is(a) 2(b) 3l(c) 4(d) 533. The face value of 4 in 20843063 is(a) 400(b) 40,000(c) 4(d) 400034. The only even prime number is(a) 3(b) 4(c) 2(d) 635. In the word “SYSTEMATIC‟, the ratio of vowels to the consonants is(a) 4:5(b) 7:3(c) 3:7(d) 5:436. The number of diagonals in a pentagon is(a) 2(b) 3(c) 4(d) 537. The difference of the greatest three digit number number and two digit number is:(i) 900(ii) 1(iii) 10(iv) 9938. The HCF of two consecutive odd number is:(i)1(2)(iii)0(iv)non-existent39. A picture is 60 cm wide and 1.8 m long. The ratios of the width to its length in lowest form is(i) 1:2(ii)1:3(iii)1:4(iv)1:840. The instrument to draw a circle is(i)Ruler(ii) Protractor(iii) Divider(iv) Compasses

SECTION – B (Each Question Carries 2 Marks)1. Convert the following into Hindu-Arabic Numerals:(a) LXXIX(b) XCIX2. Which of the following pairs of ratio is greater? 5:8 or 4:5?ORAre the following numbers in proportion: 15, 75, 45, 120?13. Find 12 2 % less than 16 hours.ORFind 25% of 10% of ½ kg.4. A, B, C are any 3 points in a plane. Join them in pairs. How many lines can you get?(a) A,B,C are co-linear.(b) A,B,C are not co-linear.5. How many degrees are there in25(a) 3 right angle.(b) 6 straight angle.6. Construct an angle of measure 450 using compasses and ruler.7. Find the value by using distributive property :- 750 x 17 750 x38 27 x 750 750 x 188. Check whether 16,8 and 4 are in continued proportion or not .ORSahil weighs 36 kg and his brother weighs 9 kg more than him. Find ratio of weight of Sahil andhis brother.9. A, B and C are three points in a plane. Join them in pair. How many lines can you get if(a) A, B,C are collinear(b) A, B, C are non collinear.10. Write the answer for the following figure(a) One pair of complementary angle(b) One pair of supplementary angle11. Draw a line segment of length 7cm. Using ruler and compass obtain a line segment oflength ½ PQ. Measure each part.112. Find the amount 122 % less than 16 hours.ORWhat percent is 13 weeks of 2 years ?13. Write the Roman numerals of the 78 & 93.14. Out of 32 m long cloth if 24 m were used .Find the ratio of cloth used to total cloth.15. What is the measure of supplement of the compliment of 480?16. Construct the angle 1100 by using protractor.17. Find the simple Interest on Rs 450 at 6% p.a for 8 months.18. Give two examples of Parallel lines.19. Estimate the product 758 X 6784 using the general rule.

20. Find the ratio of the following:(i) 26 weeks to 1 year(ii) 1 dozen to 1 scoreORCheck whether the following are in continued proportion or not:- 17, 34, 6821. Find:-133 3 % of 1 Km.ORFind the percentage of vowels in the ward “MATHEMATICS”.22. Find the value of x and y in the given figure? Give reasons.23. Look at the figure & answer(i) One pair of complimentary angles(ii) One linear pair24. Construct an angle of 22 ½º,25. Write the greatest 4 digit number and express it as a product of primes.26. Check whether 20, 10 and 5 are in continued proportion.Fill in the box so that 21, 27, 14,ORare in proportion.27. The monthly salary of Mohan is Rs. 950. If his salary increases by 6%, find his new salary.ORA man buys a radio set for Rs. 900 and sells for Rs.972. What is his profit or loss percent ?28. Construct an angle of measure 900 .29. Give two examples each of the objects havinga. Flat surfaceb. curved surface30. What is the measure of supplement of the complement of 470 .31. Estimate the product : 13459 x 780132. There are 200 trees in an orchard. If 125 of them are apple trees and rest are mango trees, findthe percentage of the mango trees.ORWhat is the percentage of the prime numbers from 1 to 10?33. Check whether 27, 9, 3 are in continued proportion.Fill in the box so that 32,OR, 6 ,12 are in proportion.34. How many degrees are there ina) 2/3 right angleb) 5/6 straight angle35. A, B and C are 3 points in a plane join them in pairs. How many lines can you get ifa) A, B and C are non-collinear?b) A, B and C collinear?36. Construct an angle of measure 90 .37. Write the greatest 6- digit number using three different digits.

38. Express the given ratio in simplest form: 35 days to 3 weeksORFill in the blank space so that the four numbers are in proportion21,27,14,39. What per cent is 16 of 250 ?ORWhat per cent is 200 cm of one metre?40. What is the complement of 60.5041. (i) An orange has a surface.(ii) Three or more points in a plane which lie on the same line are called .42. Construct an angle of 300 using compass and ruler.43. Find the difference between the largest and the smallest 7 digit number formed by using thedigits in the number 6427310(digits should not repeat).44. There are 45 students in a class. If 27 of them are boys, find the ratio of boys to girls?ORCheck 20,10,5 are in continued proportion or not?45. Out of 15 eggs, 3eggs were broken. Find the percent of broken eggs?ORWhat percent is 13 weeks to 1 year?46. The end point P of a line segment PQ is against 2 cm mark and the end point Q is against themark indicating 9 cm of a ruler. What is the length of the line segment?47. How many degrees are there in :2a) 15 complete angleb)49right angle48. Draw a line segment XY equal to 8 cm. Using compasses and ruler, construct its perpendicular bisector?49. Write the Roman numerals for the followings.a) 791b) 45950. Find the ratio of 5km to 250 m.ORWhich is greater 4:5 or 5:6 ?51. Out of 15 eggs, 2 eggs are broken. Find the percentage of broken eggs ?ORFind the simple interest on Rs. 800/- for 3 years at the rate of 6% per annum.52. Give two examples from each of the objects havinga) Plane Surfaceb) Curved surface.53. Write the complement of the supplement of 138.54. Draw a line segment AB equal to 6.8cm using compasses and ruler, construct its perpendicular bisector.

Section – C (Each Question Carries 3 Marks)1. Simplify: 45- [38- {60 3-(9-7 3)}].2. Test the divisibility of the following numbers by 11:(a) 7023643(b) 583346613. Find the H.C.F. and L.C.M. of the numbers 12 and 18 by prime factorization method. AlsoVerify that product of H.C.F. and L.C.M. is equal to the product of numbers.4. Fill in the following boxes so that the numbers are in proportion:(a) 15,, 27, 36.(b), 60, 45.15. Find the simple interest on Rs. 3500 at 42 % per annum from 15th March 2015 to 8th August 2015.6. Look at the figure and answer the questions:ABCDAEAAACCCa) How many line segments are there in all ?b) Name all line segments whose end point is E.c) Name all line segments whose end point is C.7. You are given a triangle here. Construct a line segment whose lengthis equal to the sum total of all the 3 sides of this triangle.8. Find the measure of angle x in the following figures. Give reason also.9. Write the kind of angle formed in each of the following:(a) Corner of a square.(b) Between the blades of a fan.(c) Between the fore finger and the middle finger.10. Draw a line PQ. Take a point M outside it. Through M, draw a line parallel to PQ usingcompasses and ruler.11. Find the smallest 5-digit number which is exactly divisible by 3512. Find the greatest number which will divide 625 and 1433 leaving the remainder 5 and 3respectively13. The HCF and LCM of two numbers are 13 and 1989. If one of the number is 117 find the othernumber.14. The sides two square is in the ratio 5 : 7 find the ratio of their areas.15. The cost price of saree is Rs 500. The shopkeeper sold it at 20% less. What is the selling priceof the saree?

16. In the given figure write(a) Two sets of collinear points(b) Two pairs of parallel lines(c) The lines points of intersection is J.17. Ranjan purchased a ribbon of length 20cm for his project work. He used 14cm of it and the restgave to his friend. How much ribbon was given to his friend. Draw a line segment of lengthequal to ribbon given. What value shown by Ranjan?18. Find the value of x in the following figure.19. How many degree are therein(a)23of a right angle(b)56of a straight angle(c)215of a complete angle20. Construct an angle of 450 using compass and ruler21. Test the divisibility of the number 13856722 by 11.22. Find the least number that should be added to 2000, So that 45 divide the sum exactly.23. The HCF & LCM of two numbers 13 & 1989 respectively. If one number is117.Find the other.24. The cost of 18 kg sugar is Rs 216 .Find the cost of 1 quintal sugar.25. A man buys a radio set for Rs900 sells it for Rest 972.What is his profit or loss percent?26. Arrange the measure of the following angles in ascending order:Obtuse angle, Straight angle, Zero angle, Right angle, Reflex angle, complete angle, acute angle.27. Construct two angles of i) 450 and ii)150 by using compass and ruler.28. AB 4.5 cm, CD 2.3 cm then construct AB 2CD.29. From the fig.a. Write 2 pairs of collinear points.b. Write the point of intersection of line m & t.c. Write the point of intersection of lines r & t.30. Draw the following by using scale & pencila. One pair of adjacent anglesb. One linear pair.c. Vertically opposite angles.31. The total population of the village is 39,48,697, out of these 15,26,794 are male and 17,39,495are female rest are children .Find the number of children.

32. Write the following as the sum of 2 odd prime.(i) 46(ii) 50(iii) 9833. The HCF of two number is 145, their LCM is 2175, if one number is 725, find the other.34. Find the missing term so that they are in proportion :(i) 27,, 63,84(ii), 92, 87,11635. Monthly salary of Mr. Gupta was Rs 40000.00 now it has been increase by 9%, Find his newsalary.36. In the figure, name(i) 2 sets of collinear points(ii) Line concurrent at C(iii) All the points on the plane37. In the given figure say:(i) How many line segments are there?(ii) Name any 4 line segments.(iii) Name the line segments whose one of the end point is “o”.38. Complete the following statement:(i) a and b are angles.(ii)Common arm of a & b is .(iii)Another name for QPR is39. How many degrees are there in1(i) 3 right angle.5(ii) 6 straight angle.40. Draw line segment AB 6 cm. Take a point “P” outside it construct a perpendicular PR to AB.41. Find the smallest 5-digit number which is exactly divisible by 45.42. Find the LCM of 30, 24, 36 and 16 by common division method.43. The HCF and LCM of two numbers are 13 and 1989 respectively. If one number is 117, find the other.OR.LCM of two numbers is 1760. The numbers are 160, 352. Find their HCF.44. The ratio of the length of a vertical pole and its shadow on the ground is 7:2 .Find the length ofthe pole if the length of shadow is 84 cm.45. A worker earns Rs.18,000 in 15 months .(a) How much will the worker earn in 7 months.(b) In how many months will he earn Rs 3600.46. What amount will Reena get by investing Rs 4500 at 4 12 % per annum for the period fromSeptember 8 to November 20 of the year 2015 .47. John bought 100 eggs for Rs. 40. Out of these, four eggs were found to be broken and he soldthe remaining eggs at the rate of Rs. 7.50 per dozen. Find his gain or loss percentage.

48. In the figure, writea) all pairs of parallel lines.b) The lines whose point of intersection is „E‟ .c) one set of four collinear points.49. How many line segments are there in the given figure? Write their names also?50. Classify each of the following angles as acute, obtuse, reflex or straight.51. Simplify : 150 –[70 – {60 ̶ (30 20)} ̶ 10]52. The LCM and HCF of two numbers are 180 and 6 respectively. If one of the number is 30,find the other.53. Write the greatest 4 digit number and express it as a product of primes.54. Out of 32 metre long cloth, 24 metre was used for making 8 frocks. Find the ratio of theremaining cloth and cloth used.55. A man buys a radio set for Rs. 900 and sells it for Rs. 972, what is his profit or loss percent.56. In Figure, name the pointsa) In the in interior of the angle ABCb) In the exterior of the angle ABCc) On angle ABC57. Look at the given figure and answer the followinga) Sum of 1, 2, 3, 4, 5, 6, 7, 8 ?b) 5 (Vertically opposite angles)c) 1 2 3 5 6 7 8 320 .What is the measure of 4?58. In the given figure, writea) The lines whose point of intersection is E.b) One set of 4 collinear points.c) The point of intersection of lines m and t.59. How many line segments are there in the givenfigure? Write their names also.

60. Construct PQR 45 using compasses.61. A store has 432 dresses for girls. If the cost of each dress is Rs.583.50, find the cost of all dresses.62. Find the greatest number which will divide 625 and 1433 leaving reminders 5 and 3 respectively.63. You know 5 June is celebrated every year as World Environment Day. As a part of itscelebration, Vrinda and her two friends decided to have a cycling race to promoteenvironmental friendly transport. They started at 12 noon and took 3 minutes 20 seconds,3 minutes 40 seconds and 4 minutes respectively to cycle on a circular track.(i) If Vrinda and her friends started together at 12 noon, then when will they meet next ?(ii) Suggest the ways by which you can save the environment.64. Cost of five pizzas is Rs. 725 and six pastries is Rs. 210. If I want to purchase three pizzas and12 pastries, how much should I pay ?65. Find the amount 20% less than Rs. 15066. In the given figure, name(a) the lines concurrent at point A.(b) all the sets of collinear points.(c) the lines concurrent at point G.(d) the point of intersection of three lines l, p, m(e) all the points that lie in this plane.(f) two pairs of intersecting lines.67. If AB 3.8 cm and CD 2.5 cm, construct a line segment whose length is the sum of the lengthsof these line segments and measure it.68. How many degrees are there in2(a) 3 right angles ?2(b) 15 complete angle ?79. Look carefully at the figure and write down(a) one pair of complementary angles.(b) two pairs of supplementary angles ?80. Draw a line l. Take a point A outside the line l. From A, draw a line m perpendicular to line l.81. Find the value by distributive property750x17 750x38 27x750 18x75082. The HCF of two numbers is 16 and the product of numbers is 3120. Find their LCM?83. Find the HCF of 70, 105 and 175 by continued division method?84. Ram earns RS 3, 90,000 per year. Find his earnings in 25 weeks?85. A man earns Rs. 12000 and spends Rs. 10500. If he saves the rest of the money, find thepercentage of his savings?

86.In the figure given above, name the lines concurrent at D and B.87. Construct a line segment AB of length 7.5 cm. From this line segment, cut off a line segmentAC of length 3.2 cm. Measure the length of the remaining line segment CB?88. Look at the given figure below and answer the following questions:(a) Vertex of 1 is(b) Vertex of 2 is(c) Another name of 2 is(d) Another name of 1 2 is(e) Common arm of 1 and 2 is(f) 1 and 2 are angles.89. Write another name for the following angles in the figure given below:(a)(b)(c)(d)(e)(f) 1 AFG 2 5 BGD 3 590. Construct an angle of 300 using compasses and ruler .Now construct an angle of measure 150using compasses.

Section – D (Each Question Carries 4 Marks)1. Find the value by using distributive property.(a) 241 X 107. (b) 45 X 15 – 45 X 6 45.2. Form the greatest 3-digit number and smallest 3-digit number using thee digits 4,5,0. Also find their product.3. Answer the following questions:(a) Can two numbers have 15 as H.C.F. and 315 as L.C.M. ? Why?(b) Express the smallest 5-digit number as a product of primes.4. Find the greatest number that will divide 140, 170, 155 leaving reminder 5 in each case.ORFind the greatest number of 4-digits which is divisible by 15, 20 and 25.5. Cost of 1 dozen oranges is Rs. 45(a) Find the cost of 1 score oranges.(b) How many oranges can be purchased for Rs. 606. In an orchard, there are 150 trees. 65 of them are apple trees, 35 are peer trees and the rest areorange trees. Find the ratio of(a) Apple trees to peer trees.(b) Orange trees to apple trees. (c) Peer trees to total trees.7. Johan bought 100 eggs for Rs. 40. Out of these, 4 eggs were found to be broken and he soldthe remaining eggs at the rate of Rs. 7.50 per dozen. Find his gain or loss %.8. Answer the following questions:(a) If 140 is reduced to 112, what percent is the reduction?(b) If SP Rs. 260, profit Rs. 60, find profit %.9. Based on the given figure, identify the following:(a) A pair of parallel lines.(b) A pair of intersecting lines.(c) A pair of co-llinear points. (d) A set of concurrent lines.10. If AB 3.5 cm, CD 2.5 cm, then construct the following line segments using compasses.(a) AB 2 CD.(b) 2 AB – CD.11. Draw the following using scale and pencil only. Also name them.(a) One pair of adjacent angles.(b) One linear pair.(c) One pair of complementary adjacent angles. (d) Vertically opposite angles.

12. (a) What least number should be added to 39065 to make number divisible by 9?(b)Test the divisibility by 11 for the number 235282513.(a) Estimate9483 – 6321 – 2178(b) Find the smallest 7-digit and greatest 8-digit using the digits 3,0,2,5,and 1.14.Simplify :- 22 – ¼ {96 – ( 28 4 12 x 3 26 2)}15. Find the smallest number which when divided by 25,40 and 60 lea

DAV PUBLIC SCHOOLS, ODISHA ZONE-II QUESTION BANK FOR SA – I (2016 – 17) SUB –MATHEMATICS CLASS – VI SECTION – A (Each Question Carries 1 Mark) 1. The greatest 2 digit number exactly divisible by 17 is (a) 68 (b) 91 (c) 85 (d) 97 2.

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