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. 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) 3:5
3. The ratio of a dozen to a score is
(a) 5:3
(b) 2:3
4. One end point of a line segment AB is against the mark 2 and other at mark 9 of a scale. What is the
length of line segment AB ?
(a) 6 cm
(b) 7 cm
(c) 9 cm
(d) 11 cm
5. 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 these
6. The HCF of 101 and 103 is
(a) 101
(b) 103
7. The ratio of one dozen to one score is
(a) 3:5
(b) 5 : 3
8. The number of diagonal in a pentagon is
(a) 2
(b) 3
9. The predecessor of the smallest five digit number is:
a) 9997
(b) 9999
(c) 9998
(d) 10001
(c) 9
(d) 3
10. The smallest odd prime number is:
(a) 5
(b) 7
11. The ratio of 13 weeks to 1 year in simplest form is:
(a) 13: 1
(b) 13:365
(c) 1: 4
(d) 13:12
12. 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) 99
14. The HCF of two consecutive odd number is:(a) 1
(b)
(c)0
(d) non-existent
15. 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) 4
16. The instrument to draw a circle is
(a) Ruler
(b) Protractor
17. CXIX - ____ = XXV.
(a) XXVI
(b) XIV
18. 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) 11:13
20. ________ lines can pass through one given point in a plane
(a) 1
(b) 2
(c) many
(d) 4
(c) VL
(d) LV
21. Which of the following is meaningless?
(a) LXXXV
(b) XCIX
22. Which of the following numbers are co-prime?
(a) 8, 20
(b) 34, 85
(c) 26, 39
(d) 31, 59
23. 4, 8, _________ are in continued proportion.
(a) 12
(b) 16
(c) 64
(d) None of these
24. Comparison of the line segments can be done by –
(a) observation
(b) tracing
(c) using a divider
(d) All of these
25. 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) 5
29. The greatest 2-digit number exactly divisible by 17 is
(a) 68
(b) 91
(c) 85
(d) 97
30. Which of the following is the only even prime number?
(a) 2
(b) 3
(c) 5
(d) 7
31. The ratio of 21 days to 3 weeks in the simplest form is
(a) 21:3
(b) 21:21
(c) 1:1
(d) 5:3
32. The number of diagonals in a pentagon is
(a) 2
(b) 3l
(c) 4
(d) 5
33. The face value of 4 in 20843063 is ______________
(a) 400
(b) 40,000
(c) 4
(d) 4000
34. The only even prime number is ________________
(a) 3
(b) 4
(c) 2
(d) 6
35. In the word “SYSTEMATIC‟, the ratio of vowels to the consonants is ________
(a) 4:5
(b) 7:3
(c) 3:7
(d) 5:4
36. The number of diagonals in a pentagon is ________
(a) 2
(b) 3
(c) 4
(d) 5
37. The difference of the greatest three digit number number and two digit number is:(i) 900
(ii) 1
(iii) 10
(iv) 99
38. The HCF of two consecutive odd number is:(i)1
(2)
(iii)0
(iv)non-existent
39. 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)1:8
40. 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) XCIX
2. Which of the following pairs of ratio is greater? 5:8 or 4:5?
OR
Are the following numbers in proportion: 15, 75, 45, 120?
1
3. Find 12 2 % less than 16 hours.
OR
Find 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 in
2
5
(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 18
8. Check whether 16,8 and 4 are in continued proportion or not .
OR
Sahil weighs 36 kg and his brother weighs 9 kg more than him. Find ratio of weight of Sahil and
his 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 angle
11. Draw a line segment of length 7cm. Using ruler and compass obtain a line segment of
length = ½ PQ. Measure each part.
1
12. Find the amount 122 % less than 16 hours.
OR
What 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 score
OR
Check whether the following are in continued proportion or not:- 17, 34, 68
21. Find:-
1
33 3 % of 1 Km.
OR
Find 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 pair
24. 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,
OR
are in proportion.
27. The monthly salary of Mohan is Rs. 950. If his salary increases by 6%, find his new salary.
OR
A 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 having
a. Flat surface
b. curved surface
30. What is the measure of supplement of the complement of 470 .
31. Estimate the product : 13459 x 7801
32. There are 200 trees in an orchard. If 125 of them are apple trees and rest are mango trees, find
the percentage of the mango trees.
OR
What 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 angle
b) 5/6 straight angle
35. A, B and C are 3 points in a plane join them in pairs. How many lines can you get if
a) 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 weeks
OR
Fill in the blank space so that the four numbers are in proportion
21,27,14,
39. What per cent is 16 of 250 ?
OR
What per cent is 200 cm of one metre?
40. What is the complement of 60.50
41. (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 the
digits 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?
OR
Check 20,10,5 are in continued proportion or not?
45. Out of 15 eggs, 3eggs were broken. Find the percent of broken eggs?
OR
What 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 the
mark indicating 9 cm of a ruler. What is the length of the line segment?
47. How many degrees are there in :
2
a) 15 complete angle
b)
4
9
right angle
48. 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) 791
b) 459
50. Find the ratio of 5km to 250 m.
OR
Which is greater 4:5 or 5:6 ?
51. Out of 15 eggs, 2 eggs are broken. Find the percentage of broken eggs ?
OR
Find 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 having
a) Plane Surface
b) 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) 58334661
3. Find the H.C.F. and L.C.M. of the numbers 12 and 18 by prime factorization method. Also
Verify 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.
1
5. 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:
A
B
C
D
A
E
A
A
A
C
C
C
a) 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 length
is 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 using
compasses and ruler.
11. Find the smallest 5-digit number which is exactly divisible by 35
12. Find the greatest number which will divide 625 and 1433 leaving the remainder 5 and 3
respectively
13. The HCF and LCM of two numbers are 13 and 1989. If one of the number is 117 find the other
number.
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 price
of 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 rest
gave to his friend. How much ribbon was given to his friend. Draw a line segment of length
equal 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)
2
3
of a right angle
(b)
5
6
of a straight angle
(c)
2
15
of a complete angle
20. Construct an angle of 450 using compass and ruler
21. 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 & pencil
a. One pair of adjacent angles
b. 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 17,39,495
are 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) 98
33. 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, 87,116
35. Monthly salary of Mr. Gupta was Rs 40000.00 now it has been increase by 9%, Find his new
salary.
36. In the figure, name(i) 2 sets of collinear points
(ii) Line concurrent at C
(iii) All the points on the plane
37. 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 is __________
39. 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 of
the 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 from
September 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 sold
the remaining eggs at the rate of Rs. 7.50 per dozen. Find his gain or loss percentage.
48. In the figure, write
a) 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 the
remaining 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 points
a) In the in interior of the angle ABC
b) In the exterior of the angle ABC
c) On angle ABC
57. Look at the given figure and answer the following
a) 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, write
a) 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 given
figure? 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 its
celebration, Vrinda and her two friends decided to have a cycling race to promote
environmental 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 and
12 pastries, how much should I pay ?
65. Find the amount 20% less than Rs. 150
66. 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 lengths
of these line segments and measure it.
68. How many degrees are there in
2
(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 property
750x17 +750x38 +27x750 +18x750
82. 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 the
percentage 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 segment
AC 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 + <5
90. Construct an angle of 300 using compasses and ruler .Now construct an angle of measure 150
using 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.
OR
Find 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. 60
6. In an orchard, there are 150 trees. 65 of them are apple trees, 35 are peer trees and the rest are
orange 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 sold
the 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 2352825
13.
(a) Estimate
9483 – 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 leaves the remainder 7
in each case.
OR
Four bells tolls at interval 8,9,12 and 15 minutes respectively. If they toll together at 3pm
when they will toll together again?
16.
A car travels a distance of 550km in 5hours. What distance will it travels in 7 hours?
In how many hours will it cover a distance of 3080 km?
17.
In an orchard there are 250 trees. 105 of them are apple trees, 85 are pears trees and rest
are orange trees. Find the ratio of apple trees to pears trees.
Find the ratio of orange trees to the total trees.
18.
Harish borrows RS 2500 at 3% interest per annum and RS 1000 at 5% interest per annum.
What is the interest Harish has to pay after 2 years?
19.
Reena deposited Rs 45000 at 10% per annum for the period of February 16 to April 30 in
the year 2014 and the amount she got was donated to a orphanage. What amount did she
get? What value shown by Reena ?
20.
(a) Give the example of two object having curved surface.
(b) If two lines cut at point X , what is the point X called?
(c) What does represent the corner of a triangle?
(d) Which lines don‟t meet each other at any where?
21.
If AB = 4.5Ccm CD = 2.3cm then construct the line segment measuring the length
(a) 2CD + AB
(b) 3AB – CD
22.
How many degree are there in the angle made by the hour hand and minute hand of a clock
(a) When it is 9 o‟ clock?
(b) When it is 12 o‟ clock
(c) If the measure of one angle of linear pair is 850 find the measure of other angle.
1
(d) What is complement of angle 592 0
23. Prabhat deposited Rs 5000 in a bank which pays 512 % interest. After 3 year. He withdraws the
money & buys an almirah for Rs 4700. How much money is left with him ? What value you
learn from this?
24. Minati obtained 410 marks out of 500 in SA-I & Neha got 534 out of 600 marks. Find whose
performance is better? What value you learn from this ?
25. A factory produced 57,900 screws in the month of April 2002.
(a) How many screws did the factory produced in 8 days?
(b) In how many days did the factory produce 34,740 screws?
26. Mr Arman earns Rs 9,500 per month and his wife earns Rs 8000. Find the ratio of
(a) Mr Arman‟s Income to his wife`s income.
(b) Wife`s income to total income.
27. Find the value by using distributive property:
688 X 10 X437 − 6880 X337.
28. Find the difference between the largest and the smallest 7-digit numbers formed by using the
digit in the number 6027310. (digit should not repeat).
29. The end point P of a line segment PQ is against 2cm mark and the end point Q is against the
mark indicating 9cm on a ruler. What is the length of the line segment?
30. Three Haryana Roadways buses stop after 50,100, 125 km respectively if they come together,
then after how many km will they stop together?
31. Verify that product of two numbers is equal to product of HCF & LCM 32 & 48.
30. How many degrees are there in?
2
(a) 3 of right angle?
5
(b) 6 of straight angle?
5
(c) 15 of complete angle?
(d) Supplementary angle of 520?
31. In the given fig. name:
(a) The line of concurrent at point A.
(b) One set of collinear points.
(c) The lines of concurrent at G.
(d) The point of intersection of three lines l, p, m, n
32. Astha ( An NGO ) distributed Blankets and Shawls to 42 old people in an old-age home. The
cost of one Blanket is Rs 575.00 and that of one shawl is Rs 425.00 The old people were happy
to get Blanket and shawls both.
(i) Calculate the total cost of all the Blankets & Shawls (by using distributive properly)
(ii) Name 2 more things that you can donate to an old –age home.
33. (i) What least number should be added to 20639 to make it divisible by 23 ?
(ii) 22- [ 15 - {13 – ( 5 + 3 ) } ]
34. Three bells toll at intervals of 9, 12, 15 minutes if they start together, after what time will they
next toll together.
Or
Find the largest number that divides 398, 436 and 542 leaving reminders 7, 11 and 15
respectively.
35. Find the greatest possible length which can be used to measure exactly the lengths 7 m,
3 m 85 cm , 12m 95 cm.
36. Vishesh deposited Rs 50000.00 at 8 % per annum in bank from 7th June 2015 to 19th August
2015 after that he withdrew the money, find what amount he will get ?
37. Rajesh bought 100 eggs for Rs 50.Out of these 4 eggs were found to be broken and he sold
the remaining eggs at the rate of Rs 8.00 per dozen. Find his gain or loss %.
38. A car travels 231 km in 3 hours:
(i) How long it will take to travels 770 km?
(ii) How far will it travel in 8 hours?
39. In a locality there are 450 families out of which 210 families are Hindu, 90 families are Muslim
and rest are Christians. Find the ratio of
(i) Hindu families to Christians
(ii) Muslim families to total families
(iii) Christian families to Muslim families
29.
(i)Write all the parallel lines.
(ii)Lines which point of interaction is B.
(iii) one set of concurrent lines.
(iv) Two pairs of intersecting lines.
30. Construct a line segment AB=6.2 cm and CD= 3.8 cm. Then construct the following
segments. (Any two)
(ii) AB – CD
(i) 2AB + CD
(iii) 3CD
31. Find the following :(i) Complimentary angle of 40º
(ii) Supplementary angles of 125º
(iii) Supplement of complement of 75º.
32. Answer the following-:
a. Find the value distributive property
b. Simplify :
1
568 X 176 -- 568 X 75 -- 568.
22 -- 4 { 16 − 8  4 + 2 }.
33. Answer the following-:
a) Find the maximum and minimum number of points of intersection of three lines in a plane.
b) Give two examples from your environment
i. Parallel lines
ii. Intersecting lines.
34. The school organised a picnic in which 108, 162 and 270 students of classes VI , VII & VIII
respectively were going. As a students representative Rohan was assigned the duty of
transport incharge.
(a) Find out the number of buses required, if each bus had to carry maximum but
equal number of students from each class.
(b) Suggest any other way by which you can help your school, if you are selected as a
students representative
35. Find the greatest number which divides 625 and 1433 leaving remainder 5 and 3 respectively.
OR
Find the smallest number which when divided by 25, 40, 60 leaves remainder 7 in each case.
36. The weight of 72 books is 9 kg.
a) Find the weight of 80 such books.
b) How many books will weigh 6 kg?
37. Find the ratio of the
a) Numbers of even numbers to odd numbers from the set of natural numbers from 30 to 50?
b) Prime numbers and composite numbers from the set of natural numbers from 1 to 20?
38. Salim deposited Rs 5,000 in a bank which pays him 5 12 % interest. After 3 years, he withdraws
the money and buys an almirah for Rs.4,700. How much money is left with him ?
39. During winter season, the Manav Seva Samiti decided to distributed blankets and shawls to
some poor people of a locality. A total of 150 packets were distributed. 74% of the poor people
received shawls and the others got blankets. The poor people were very happy with shawls and
blankets .
(a) How many blankets were distributed ?
(b) Name two more items that you have donated to any poor persons.
40. Answer the questions from the given figure.
a. Are  1 and 2 vertically opposite angles?
b.  5 = ___________ (vertical).
c.
1 + _____+ 4 = 1800.
d. Are
6 and 4 adjacent angles?
41. Members of an NGO decided to provide blankets to an old age home. For this purpose a sum
of Rs.8435 was collected and 35 blankets were purchased. The old age people were very
happy with the blankets . They blessed the NGO members for their concern for the old people.
(a) What is the cost of one blanket donated ?
(b) Name any two items that you can donate to an old age home .
42. In the figure given here, name
a) all the sets of collinear points,
b) all the points that lie in this plane,
c) two pairs of intersecting lines,
d) the lines concurrent at point G.
43. The cost of a computer is Rs. 56,233 and that of a printer is Rs. 7,767. A man purchased 12
computers and 12 printers. Find the total money he has to pay. (use distributive property)
44. Find two numbers nearest to 2000 which are divisible by 45.
45. Find the greatest number which divides 625 and 1433 leaving remainder 5 and 3
respectively.
„OR‟
Find the smallest number which when divided by 25, 40, 60 leaves remainder 7 in each case.
46. In a morning walk, three boys step off together. Their steps measure 80 cm, 85cm and 90 cm
respectively. What minimum distance in metre should each walk so that all can cover the
distance in complete steps?
47. Rohan deposited Rs. 5000 in a bank which pays interest at the rate of 8% per annum, for 3 and
half years. Mohan deposited Rs. 5000 in a bank which pays interest at the rate of 6% p.a. for 4
years. Find who will get more interest and by how much.
48. Sahil ran a distance of 1.75 km and his younger sister could run only 750 m. Express the
distance as ratio. Write any two importance of physical fitness.
49. Cost of one dozen orange is Rs. 21.
a) Find the cost of one score Oranges?
b) How many oranges can be purchased for Rs. 19.25?
50. On children‟s day a child was given Rs. 400 as pocket money. He spent 25% of it on eatables,
20% on chocolates. He also purchased a book for Rs. 100. Find the amount of the money left
with him.
51. i) Give two examples each of the objects having
a) Flat surface
b) Curved surface
ii) Give two examples of each of such letters of English alphabets having:
a) Parallel lines
b) Intersecting lines
1
52. a. Find the complement of 712 0 and 60.50 .
b. Find the supplement of 31.50 and 820 .
53. Draw AB = 3cm, CD = 5 cm. Using these construct the following segments.
a) AB + CD
b) 2AB - CD
54. Find the value by using distributive property.
(i) 750x17 +750x38 + 27x 750 + 18x 750
(ii) 223 x25 x 6 – 223 x 10 x 15
55. Simplify 45 – [38-{60÷3-(9-7+3)}]
56. The floor of a room is 6m 75 cm long and 5m wide. It is to be paved with square tiles. Find the
largest size of tile needed.
OR
The length, breadth and height of a room are 8.25m, 6.75m and 4.50m respectively. Determine
the longest tape which can measure the three dimensions of the room exactly.
57. In a morning walk, three boys step off together. Their steps measure 80 cm, 85cm and 90 cm
respectively. What minimum distance should each walk so that all can cover the distance in
complete steps?
58. The sides of two squares are in the ratio 5:7. Find the ratio of their areas.
59. The weight of 72 books is 9 kg.
(a) Find the weight of 80 such books.
(b) How many books will weight 6 kg ?
60. Find the Simple interest on a sum of Rs. 2000 at 5½ % per annum from 7 June 2015 to 19
August 2015.
61. The monthly consumption of milk in a family is 120 litres. If due to festival the consumption of
milk increased by 20 %, find the present consumption of milk.
62. In the given figure, name ___________
(a) all the pairs of parallel lines.
(b) four pairs of intersecting lines.
(c) the lines whose point of intersection is A.
(d) three sets of collinear points.
63. If AB= 4.5 cm, CD =2.3 cm then construct the following line segments.
(a) 2CD
(b) 3AB
(c) AB-CD
(d) AB+2CD
64. Find the least number that should be added to 1000 so that 35 divides the sum exactly. Find the
number also?
65. Simplify the following numerical expression:
a) 36 – [ 12 + ( 3 x 10 ÷ 2)]
b) 18 – [ 18 – { 18 – ( 18 – 18) – 18}]
66. Find the greatest number that can exactly divide 140, 170 and 155 leaving remainder 5 in each case?
OR
Find the least number which when divided by 40, 50and 60 leaves remainder 5 in each case?
67. The floor of a room is 6m 75 cm long and 5m wide. It is to be paved with square tiles. Find the
largest size of the tile needed?
68. Mr. Ram earns Rs. 4500 in a month. He spends Rs. 3600 and saves the rest. Find the ratio of
a) Earning to expenditure
b) Expenditure to saving
c) Saving to earnings
What is the value learnt?
69. A car travels a distance of 550 Km in 5 hrs.
a) What distances will the car travel in 7 hrs?
b) How many hours are needed to travel a distance of3080 Km if the car travels in uniform speed?
70. Rahul bought a house for Rs. 2, 80,000 but due to some reason he sold the house for Rs. 2,
32,000 and donated the money to an orphanage. Find his loss and loss percent? What value
does Rahul show?
71. Ankit deposits Rs. 3000 in a bank for a period of 2 years. If the bank gives an interest of 5%
per annum, find the amount Ankit would get back at the end of 5 years? What is the
importance of saving in a person‟s life?
72. In the given figure below, name
(a)
(b)
(c)
a) The lines concurrent at point A
b) The lines concurrent at point G
c) One pair of intersecting lines.
d) The lines concurrent at point B
73. (a) Write the complement of 59.50?
(b) Write the supplement of 96.50?
(c) What is the measure of the supplement of the complement of 420?
74. Draw a line segment XY of length 8 cm. At X and Y, draw perpendicular to XY using compasses
and ruler. Are these lines parallel to each other? Give reason?