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Samacheer Kalvi Class 8 Maths Practice Question Papers

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Brain Grain · braingrain.in
Maths — Practice Paper · Set 1
Class: 8Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.Questions (iii) and (iv) are based on code language. Find the correct answer from the four alternatives given. (iii)Inacertain code, ‘M E D I C I N E’ is coded as ‘E O J D J E F M’,then how is ‘C O M P U T E R’ written in the same code?A. C N P R V U F QB. C M N Q T U D RC. R F I J V Q N P CD. R N V F T U D Q[1]
2.Which is not correct?A. \(\left(\frac{-1}{4}\right)^{2}\) = 4 -2B. \(\left(\frac{-1}{4}\right)^{2}=\left(\frac{1}{2}\right)^{4}\)C. \(\left(\frac{-1}{4}\right)^{2}\) = 16 -1D. \(-\left(\frac{1}{4}\right)^{2}\) = 16 -1[1]
3.If x 2 – y 2 = 16 and (x + y) = 8 then (x – y) is ________A. 8B. 3C. 2D. 1[1]
4.\(\) = _______ .A. \(\frac{5}{8}\)B. \(\frac{2}{3}\)C. \(\frac{15}{32}\)D. \(\frac{15}{16}\)[1]
5.If three candidates A, B and C in a school election got 153,245 and 102 votes respectively, then the percentage of votes got by the winner is ________ .A. 48%B. 49%C. 50%D. 45%[1]
6.How many 2 digit numbers contain the number 7?A. 10B. 18C. 19D. 20[1]
7.Every 3 rd number of the Fibonacci sequence is a multiple of_______A. 2B. 3C. 5D. 8[1]
8.In a class there are 26 boys and 15 girls. The teacher wants to select a boy or a girl to represent a quiz competition. In how many ways can the teacher make this selection?A. 41B. 26C. 15D. 390[1]
9.The best shopping choice is toA. shop at brand name stores always buyB. compare the choices before buyingC. the same thing my friends boughtD. buy at a regular shop always[1]
10.Common prime factors of 30 and 250 areA. 2 × 5B. 3 × 5C. 2 × 3 × 5D. 5 × 5[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.An article is sold for ₹ 555 at a loss of 7\(\frac { 1 }{ 2 }\)%. The cost price of the article is ________ .[1]
12.Angles opposite to equal sides are ________ and vice – versa.[1]
13.(-2) -7 is = __________ .[1]
14.The next rational number in the sequence \(\frac{-15}{24}, \frac{20}{-32}, \frac{-25}{40}\) is _________.[1]
15.Scale for the given graph, __________[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.The square of 75 is 4925.[1]
17.(a) A square is a special rectangle.[1]
18.Media and business people use pie charts.[1]
19.Subtracting 103 from 1729 gives 93.[1]
20.The rational number which is its own reciprocal is -1.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.The simplest form of \(\frac{125}{200}\) is[2]
22.Shanthi has 5 chudithar sets and 4 frocks. In how many possible ways, can she wear either a chudithar or a frock?[2]
23.Divide (i) \(\frac{-21}{5}\) by \(\frac{-7}{-10}\) (ii) \(\frac{-3}{13}\) by -3 (iii) -2 by \(\frac{-6}{15}\)[2]
24.If 35 women can do a piece of work in 16 days, In how many days will 28 women do the same work?[2]
25.Simplify \(\frac{1}{2}+\left(\frac{3}{2}-\frac{2}{5}\right) \div \frac{3}{10} \times 3\) and show that it is a rational number between 11 and 12.[2]
26.In a city \(\frac{7}{20}\) of the population are women and \(\frac{1}{4}\) are children. Find the fraction of the population of men.[2]
27.Verify the identity property for addition and multiplication for the rational numbers \(\frac{15}{19}\) and \(\frac{-18}{25}\).[2]
28.If p + 2q =18 and pq = 40, find \(\frac{2}{p}+\frac{1}{q}\)[2]
29.Add the fractions : \(\frac{3}{5}+\frac{5}{8}+\frac{7}{10}\).[2]
30.Is the number -7 a rational number? Why?[2]
31.Arrange the given data in ascending and descending order: 9, 34, 4, 13, 42, 10, 25, 7, 31, 4, 40[2]
32.A student had multiplied a number by \(\frac{4}{3}\) instead of dividing it by \(\frac{4}{3}\) and got 70 more than the correct answer. Find the number.[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.Find the volume of the cuboid whose dimensions are (x + 2),(x – 1) and (x – 3)[5]
34.Identify the errors and correct them. (i) 7y 2 – y 2 + 3y 2 = 10y 2[5]
35.Is the square of a prime number, prime?[5]
🔑 Show Answer Key — Set 1
  1. 1. (C) R F I J V Q N P C Hint: lt is given that in a certain code MEDlClNE is coded as E O J D J E F M When we observe the word & the code, we find that, there is a pattern.[to understand, see the matching shapes] To get the code from the word, we follow the below steps 1.E [E D I C I N] M 2. For the middle letters, replace the letters with their alphabetically next letters, so we get3. Now we have to reverse the order of the middle letters in the bracket, so we get E [O J D J E F] M = E O J D J E F M Thus we get the code So similarly, we have to follow the 3 steps to get code, therefore:Step 1: Swap 1st & last letters, so we get R [O M P U T E] C Step 2: For the middle letters, replace the letters with alphabetically next letters, so we get R [P N Q V L F] C Step 3: Reverse the word of letters in the bracket to we get R [F U V Q N P] C ∴ Ans is R F U V Q N P C ⇒ option c(iv) lf the word ’P H O N E’ is coded as ’S K R Q H’, how will ’R A D I O’ be coded? (A) S C G N H (B) V R G N G (C) U D G L R (D) S D H K Q (C) U D G L R Hint: If PHONE is coded as S K R Q H Find that code for R A D I O We find that we get the code, by 3 letter alphabetically so. from P. skipping Q & R. we get SSimilarly, from H, skipping I & J, we get K Like wise for R A D I O. skipping the 2 alphabets, From R skip S & T → U From A skip B & C → D From D skip E & F → G From l skip J & K → L From O skip P & Q → R∴ Ans is UDGLR ⇒ option c
  2. 2. \(-\left(\frac{1}{4}\right)^{2}\) = 16 -1 Hint: (-2) – 3 x (- 2) – 2 = (-2) – 3 – 2 = (-2) – 5 (\(-\frac { 1 }{ 2 }\))5 = \(-\frac { 1 }{ 32 }\)
  3. 3. (C) 2 Hint: x 2 – y 2 = 16 (x + y) (x – y) = 16 8 (x – y) = 16 (x – y) = \(\frac { 16 }{ 8 }\) = 2
  4. 4. (D) \(\frac{15}{16}\) Hint:
  5. 5. (B) 49% Hint: Candidate 1: 153 Candidate 2: 245 – winner [as maximum votes) Candidate 3: 102 Total votes = 1 + 2 + 3 = 153 + 245 + 102 = 500= \(\frac{245}{500}\) × 100 = 49%
  6. 6. 18
  7. 7. (a) 2 Hint: Every 3 rd number in Fibonacci sequence is a multiple of 2
  8. 8. 41
  9. 9. (b) compare the choices before buying
  10. 10. (a) 2 × 5 Prime factors of 30 are 2 × 3 × 5 Prime factors of 250 are 5 × 5 × 5 × 2 ∴ Common prime factors are 2 × 5
  11. 11. ₹ 600 Hint: Given selling price is ₹ 555 & loss 7\(\frac { 1 }{ 2 }\)% as per formula
  12. 12. Equal
  13. 13. \(\frac{-1}{128}\)
  14. 14. \(\frac{30}{-48}\)
  15. 15. On the x-axis 1 cm = _________ units y-axis 1 cm = _________ units3 units, 25 units Hint: With reference to given graph, On the x – axis. 1 cm = 3 units y axis, 1 cm = 25 units
  16. 16. False
  17. 17. True
  18. 18. True
  19. 19. True
  20. 20. True
  21. 21. \(\frac{125}{200}=\frac{125 \div 25}{200 \div 25}=\frac{5}{8}\) = \(\frac{5}{8}\)
  22. 22. Shanthi her 5 chudidhar sets and 4 frocks. She wear either chudidhar or a frock. ∴ Total possible ways = 5 + 4 = 9 ways
  23. 23. (i) \(\frac{-21}{5}\) by \(\frac{-7}{-10}\)(ii) \(\frac{-3}{13}\) by -3(iii) -2 by \(\frac{-6}{15}\)
  24. 24. Inverse proportion No. of days = x k = 35 × 16 ∴ 28 × x = 35 × 16Try These (Text Book Page No. 145)
  25. 25. (refer textbook)
  26. 26. Let the total population = 1 Population of men = Total population – Women – Children∴ Population of men = \(\frac{2}{5}\)
  27. 27. Identify property for addition verified.Identify property for multiplication verified.
  28. 28. Given p + 2q = 18 ……… (1) pq = 40 ……… (2)
  29. 29. LCM of 5, 8, 10 = 5 × 2 × 4 = 40
  30. 30. A rational number, Because – 7 = \(\frac{-14}{2}=\frac{p}{q}\)
  31. 31. Ascending order: 4, 4, 7, 9, 10, 13, 25, 31, 34, 40, 42. Descending order: 42, 40, 34, 31, 25, 13, 10, 9, 7, 4, 4
  32. 32. Let the number = aObjective Type Questions
  33. 33. Given the dimensions of the cuboid as (x + 2), (x – 1) and (x – 3) ∴ Volume of the cuboid = (l × b × h) units 3 = (x + 2) (x – 1) (x – 3) units 3 We have (x + a)(x + b) (x+c) = x 3 + (a + b + c)x 2 + (ab + bc + ca)x + abc ∴ (x+2) (x- 1) (x-3) = x 3 + (2 – 1 – 3)x 2 + (2 (-1) + (-1) (-3) + (-3) (2)) x + (2) (-1) (-3) = x 3 – 2x 2 + (-2 + 3 – 6)x + 6 Volume = x 3 – 2x 3 – 5x + 6 units 3Objective Type Questions
  34. 34. 7y 2 – y 2 + 3y 2 = 10y 2 = (7 – 1 + 3)y 2 = (6 + 3)y 2 = 9y 2 (ii) 6xy + 3xy = 9x 2 y 2 6xy + 3xy = (6 + 3) xy = 9 xy (iii) m(4m – 3) = 4m 2 – 3 m(4m – 3) = m(4m) + m(-3) = 4m 2 – 3m(iv) (4n) 2 – 2n + 3 = 4n 2 – 2n + 3 (4n) 2 – 2n + 3 = 16n 2 – 2n + 3 (v) (x – 2)(x + 3) = x 2 – 6 (x – 2)(x + 3) = x(x + 3) – 2 (x + 3) = x(x) + (x) × 3 + (-2) (x) + (-2) (3) = x 2 + 3x – 2x – 6 = x 2 + x – 6 (vi) -3p 2 + 4p – 7 = -(3p 2 + 4p – 7) -3p 2 + 4p – 7 = -(3p 2 – 4p + 7)
  35. 35. No, the square of a prime number ‘P’ has at Least 3 divisors 1, P and P 2 . But a prime number is a number which has only two divisors, 1 and the number itself. So square of a prime number is not prime.
Brain Grain · braingrain.in
Maths — Practice Paper · Set 2
Class: 8Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.\(\frac{1}{2}-\left(\frac{3}{4}-\frac{5}{6}\right) \neq\left(\frac{1}{2}-\frac{3}{4}\right)-\frac{5}{6}\) illustrates that subtraction does not satisfy the ________ property for rational numbers.A. commutativeB. closureC. distributiveD. associative[1]
2.In how many ways can you answer 3 multiple choice questions, with the choices A,B,C and D?A. 4B. 3C. 12D. 64[1]
3.√48 is approximately equal to .A. 5B. 6C. 7D. 8[1]
4.The difference between compound and simple interest on a certain sum of money for 2 years at2%p.ais U. The sum of money is _________ .A. ₹ 2000B. ₹ 1500C. ₹ 3000D. ₹ 2500[1]
5.(a – b) = 3 and ab = 5 then a 3 – b 3 = __________A. 15B. 18C. 62D. 72[1]
6.The single discount in % which is equivalent to two successive discounts of 20% and 25% isA. 40%B. 45%C. 5%D. 22.5%[1]
7.What is the eleventh Fibonacci number?A. 55B. 77C. 89D. 144[1]
8.Closure property is not true for division of rational numbers because of the numberA. 1B. 1C. 0D. \(\frac { 1 }{ 2 }\)[1]
9.The sum of the digits of the denominator in the simplest form of is \(\frac{112}{528}\) is _________ . (D )7A. 4B. 5C. 6[1]
10.The graphical representation of ungrouped data is ________A. histogramB. frequency polygonC. pie chartD. all the three[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.The solution of the equation ax + b = 0 is _______ .[1]
12.A can do a work in 24 days. If A and B together can finish the work in 6 days, then B alone can finish the work in ________ days.[1]
13.The symbol ~ is used to represent _________ triangles.[1]
14.A line segment which joins any two points on a circle is a _______ .[1]
15.Histogram is a graphical representation of_________ data.[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.0 is the smallest rational number.[1]
17.Say True or False (i) 8x 3 y ÷ 4x 2 = 2xy[1]
18.A square is a special rhombus.[1]
19.Comparison of parts of a whole may be done by a pie chart.[1]
20.(-9, 0) lies on the x-axis.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.Subtract \(\frac{-8}{44}\) from \(\frac{-17}{11}\)[2]
22.A student can type 21 pages in 15 minutes. At the same rate, how long will it take student to type 84 pages?[2]
23.Find the sum (i) \(\frac{7}{5}+\frac{3}{5}\) (ii) \(\frac{7}{5}+\frac{5}{7}\) (iii) \(\frac{6}{5}+\left(\frac{-14}{15}\right)\) (iv) \(-4 \frac{2}{3}+7 \frac{5}{12}\)[2]
24.Represent \(\left(\frac{1}{2}+\frac{1}{4}\right)\) by a diagram.[2]
25.Where are the even Fibonacci Numbers? Colour both the term n and where F(n) is even in yellow. Do you find any pattern? Every Third Fibonacci number is a multiple of 2(even).[2]
26.Divide \(\frac{7}{36}\) by \(\frac{35}{81}\).[2]
27.Subtract – 2mn from 6mn.[2]
28.If \(\sqrt[3]{1906624} \times \sqrt{x}\) = 31oo, find x.[2]
29.\(\frac{22}{7}\) and 3.14 are rational numbers. Is ‘π’ a rational number? Why?[2]
30.Peter had a Two hundred rupee note. After buying 7 copies of a book he was left with 60.[2]
31.Write a short message to a friend and get them to decipher it.(Use any one shifting and substituting code method)[2]
32.Consider that you are going to a store with your total budget of ₹ 220 to buy things without changing the quantity of the items given in the list below with the following conditions. Conditions: (i) First you have to complete the price list given. (ii) You have to buy three items as per the given price list but within your budget ₹ 220. (iii) You wont carry exceeding 5kg because you have to walk home carrying them, so they cannot be bulky. Now, answer the following questions: 1. In how many ways can you buy your items? Complete the price lists given below. One is done for you. 2. Which one is the best purchase price list and why?[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.6 bottles of Protein Milk (200 ml size), 3 packets of Peanut candies(200 gm), 3 packets of Chocolate biscuits, 1 packet of Badam nuts (250 gm).[5]
34.Fill ini the blanks: (i) The three dimensions of a cuboid are ______ , ______ and ______ .[5]
35.In a Higher Secondary School, the following groups are available in XI standard (i) Physics, Chemistry, Biology and Mathematics (ii) Physics, Chemistry, Mathematics and Computer Science. (iii) Physics, Chemistry, Biology and Home Science Il. Arts Group: (i) Accountancy, Commerce, Economics and Business Maths (ii) Accountancy, Commerce, Economics and Computer Science (iii) History, Geography, Economics and Commerce (i) Biology, Nursing Theory, Nursing Practical I and Nursing Practical II (ii) Home Science, Textiles and Dress Designing Theory, Textiles and Dress Designing Practical I and Textiles and Dress Designing Practical Il In how many possible ways, can a student choose a group?[5]
🔑 Show Answer Key — Set 2
  1. 1. (D) associative
  2. 2. 64
  3. 3. (C) 7 Hint: √49 = 7
  4. 4. (D) ₹ 2500 Hint: Difference between CI and SI is given as Re I Time period (n) = 2 yrs. Rate of interest (r) = 2 % p.a Formula for difference is CI – SI = \(P \times\left(1+\frac{r}{100}\right)^{n}\) Substituting the values in above formula, we get 1 = p × \(\left(\frac{2}{100}\right)^{2}\) ∴ p = 1 × \(\left(\frac{100}{2}\right)^{2}\) = 1 × (50) 2 = ₹ 2500
  5. 5. (D) 72 Hint: (a – b) = 3 (a – b) 2 = 3 2 a 2 + b 2 – 2ab = 9 a 2 + b 2 – 2(5) = 9 a 2 + b 2 = 9 + 10 a 2 + b 2 = 19 a 3 – b 3 = (a – b)(a 2 + ab + b 2 ) = 3(19 + 5) = 3(24) = 72
  6. 6. (A) 40% Hint: Let marked price be MP, after discount 1 of 20%,Comparing with formula, we get ∴ This is equivalent to a single discount of 40%
  7. 7. (c) 89 Hint:∴ 11 th Fibonacci number is 89
  8. 8. (C) 0
  9. 9. (C) 6 Hint:Sum of digits in the denominator = 3 + 3 = 6
  10. 10. (C) pie chart
  11. 11. \(-\frac{b}{a}\) Hint: ax + b = 0 ax = – b ∴ x = \(-\frac{b}{a}\)
  12. 12. 8
  13. 13. similar
  14. 14. Chord
  15. 15. grouped
  16. 16. False
  17. 17. True(ii) 7ab 3 ÷ 14 ab = 2b 2 False
  18. 18. True
  19. 19. True
  20. 20. True Hint: (-9, 0) on x – axis. Y- coordinate is always zero. ∴ (-9, 0) lies on x axis – True
  21. 21. (refer textbook)
  22. 22. Direct proportion No. of minutes = x k = \(\frac{21}{15}\) \(\frac{21}{15}=\frac{84}{x}\)
  23. 23. (i) \(\frac{7}{5}+\frac{3}{5}\)(ii) \(\frac{7}{5}+\frac{5}{7}\)(iii) \(\frac{6}{5}+\left(\frac{-14}{15}\right)\)(iv) \(-4 \frac{2}{3}+7 \frac{5}{12}\)
  24. 24. Try These (Text Book Page No. 3)
  25. 25. i.e., a multiple of F(3) or 2 = F(3)
  26. 26. \(\frac{7}{36}+\frac{35}{81}=\frac{7}{36} \times \frac{81}{35}=\frac{9}{20}\)
  27. 27. 6 mn – (-2mn) = 6mn + (+ 2mn) = (6 + 2)mn = 8mn
  28. 28. (refer textbook)
  29. 29. \(\frac{22}{7}\) and 3.14 are rational numbers π has non-terminating and non-repoating decimal expansion. So it is not a rational number. it is an irrational number.
  30. 30. Let cost of one book be ‘x’ ∴ Given that 200 – 7 × x = 60 ∴ 200 – 7x = 60
  31. 31. Student can choose and tr on their own.
  32. 32. (refer textbook)
  33. 33. Comparing two stores(i) How can you do this so that you dont go over your budget amount ₹ 1000? We can buy them from any one shop. (ii) Which shop offers you the best value for money on each item? Star Food Mart(iii) Is the “BUY ONE GET ONE” deal at Super Provisions the same as “50% off” deal? Yes
  34. 34. length, breadth, height (ii) The meeting point of more than two edges in a polyhedron is called as ______ . Vertex(iii) A cube has _________ faces. six (iv) The cross section of a solid cylinder is ______ . circle (v) If a net of a 3-D shape has six plane squares, then it is called ______ . cube
  35. 35. The student either select any one of science group in 3 ways or any of the arts group in 3 ways or any of the vocational group in 2 ways. ∴ Total possible ways = 3 + 3 + 2 = 8 ways
Brain Grain · braingrain.in
Maths — Practice Paper · Set 3
Class: 8Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.\(\frac{-5}{4}\) is a rational number which lies between _________ .A. 0 and \(\frac{-5}{4}\)B. -1 and 0C. -1 and -2D. -4 and -5[1]
2.A fruit vendor sells fruits for ₹ 200 gaining ₹ 40. His gain percentage isA. 20%B. 22%C. 25%D. 16[1]
3.By what number should (-4) -1 be multiplied so that the product becomes 10 -1 ?A. \(\frac{2}{3}\)B. \(\frac{-2}{5}\)C. \(\frac{5}{2}\)D. \(\frac{-5}{2}\)[1]
4.When I go shopping, I will buyA. something that looks attractiveB. something my friend hasC. something that I need to purchaseD. the first thing I see in the store[1]
5.Data is a collection of _________A. numbersB. wordsC. measurementsD. all the three[1]
6.\(\frac{3}{4} \times\left(\frac{1}{2}-\frac{1}{4}\right)=\frac{3}{4} \times \frac{1}{2}-\frac{3}{4} \times \frac{1}{4}\) illustrates that multiplication is distributive overA. additionB. subtractionC. multiplicationD. division[1]
7.Online or television advertisements influence people on spending decisions byA. using special musicB. making them think that they need the itemC. using attractive picturesD. all the above[1]
8.\(\frac{(a+b)\left(a^{3}-b^{3}\right)}{\left(a^{2}-b^{2}\right)}\) = _________A. a 2 – ab + b 2B. a 2 + ab + b 2C. a 2 + 2ab + b 2D. a2 2 – 2ab + b 2[1]
9.Histogram is a graph of a ________ frequency distribution.A. continuousB. discontinuousC. discreteD. none of these[1]
10.The standard form of the sum \(\) is ________ .A. 1B. \(\frac{-1}{2}\)C. \(\frac{1}{12}\)D. \(\frac{1}{22}\)[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.If a number has 5 or 6 digits in it, then its square root will have ________ digits.[1]
12.The smallest number to be added to 3333 to make it a perfect cube is __________ .[1]
13.The sum of the three angles of a triangle is _________ .[1]
14.For a ≠ 0, a 0 is __________ .[1]
15.The medians of a triangle cross each other at _______ .[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.The rational numbers that are equal to their additive inverses are 0 and -1.[1]
17.(-10,20) lies in the second quadrant.[1]
18.The square root of 225 is 15.[1]
19.Using the power rule, \(\left(3^{7}\right)^{-2}\) = 3 5[1]
20.A square is a parallelogram.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.Represent the following data in ungrouped frequency table which gives the number of children in 25 families. 1, 3, 0, 2, 5, 2, 3, 4, 1, 0, 5, 4, 3, 1, 3, 2, 5, 2, 1, 1, 2, 6, 2, 1, 4[2]
22.Verify the additive and multiplicative inverse property for the rational numbers \(\frac{-7}{17}\) and \(\frac{17}{27}\).[2]
23.Using the given picture find the total special offer price of fresh sweets and bakery products to buy \(\frac { 1 }{ 2 }\) kg laddu, 1 kg cake, 6 pockets of bread.[2]
24.A rupee spent in a cloth manufacturing company is distributed as follows. Represent this in a pie chart. Particulars Paise Farmer 20 Spinner 35 Dyer 15 Weaver 15 Printer 05 Salary 10[2]
25.Find the simple interest on ₹ 900 for 73 days at 8% p.a.[2]
26.Find the square of the following numbers. (i) 17 (ii) 203 (iii) 1098[2]
27.If the selling price of an article is less than the cost price of the article, then there is a ________ .[2]
28.Which among 256, 576, 960, 1025,4096 are perfect square numbers? (Hint: Try to extend the table of squares already seen).[2]
29.“An equation is multiplied or divided by a non zero number on either side:’ Will there be any change in the solution?[2]
30.Draw the graph of the following equations: (i) x = – 7 (ii) y = 6[2]
31.Try These (Text Book Page No. 122) Find the indicated percentage value of the given numbers.[2]
32.If a mattress is marked for ₹ 7500 and is available at two successive discount of 10% and 20%, find the amount to be paid by the customer.[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.CAMP, CA = 6cm, AP = 8cm and CP = 5.5cm.[5]
34.Will the sum of two perfect squares always be a perfect square? What about their difference and their product?[5]
35.An isosceles triangle has equal sides each 13 cm and a base 24 cm in length. Find its height.[5]
🔑 Show Answer Key — Set 3
  1. 1. (C) -1 and -2 Hint: \(\frac{-5}{4}\) = -1 \(\frac{1}{4}\) ∴ \(\frac{-5}{4}\) lies between -1 and -2.
  2. 2. (C) 25% Hint: Selling price ₹ 200 Gain = 40 ∴ CP – Selling price – gain = 200 – 40 = 160
  3. 3. (B) \(\frac{-2}{5}\) Hint: (-4) -1 = \(\left(-\frac{1}{4}\right)^{1}=\frac{-1}{4}\)
  4. 4. (c) something that I need to purchase
  5. 5. (D) all the three
  6. 6. (B) subtraction
  7. 7. (d) all the above
  8. 8. (B) a 2 + ab + b 2 Hint:= a 2 + ab + b 2
  9. 9. (A) continuous
  10. 10. 1 Hint:
  11. 11. 3
  12. 12. 42
  13. 13. 180°
  14. 14. 1
  15. 15. Centroid
  16. 16. False
  17. 17. True Hint: (-10, 20) x = -10, y = 20 ∴ (-10, 20) lies in second quadrant – True
  18. 18. True
  19. 19. True
  20. 20. True
  21. 21. The data given is raw data. Ascending order : 0, 1, 2, 3, 4, 5, 6∴ Tabulating in frequency distribution table we get
  22. 22. Additive inverse for rational numbers verified.Mulplicative inverse for rational numbers verified.Objective Type Questions
  23. 23. (refer textbook)
  24. 24. 1 Rupee = 100 paise.Expenditure of a cloth manufacturing company.
  25. 25. (refer textbook)
  26. 26. (i) 17(ii) 203(iii) 1098
  27. 27. Loss Percentage difference calculator tool makes the calculation faster, and it displays the difference in the percentage in a fraction of seconds.
  28. 28. 256 = 16 2 576 = 24 2 4096 = 64 2 ∴ 256, 576, and 4096 are perfect squares
  29. 29. Not be any change in the solution
  30. 30. (refer textbook)
  31. 31. Try These (Text Book Page No. 124)
  32. 32. Marked price of mattress = ₹ 7500 Discount d 1 = 10% Discount d 2 = 20%Objective Type Questions
  33. 33. Given : In the parallelogram CAMP, CA = 6 cm, AP = 8 cm, and CP = 5.5cm Rough DiagramConstruction: Steps: Draw a line segment CA = 6 cm. With C as centre, draw an arc of length 5.5 cm With A as centre, draw an arc of length 8 cm Mark the intersecting point of these two arcs as P Draw a line PX parallel to CA With P as centre draw an arc of radius 6 cm cutting PX at M. Join AM CAMP is the required parallelogram. Calculation of area: Area of the Parallelogram CAMP = b × h sq. units = 6 × 5.5 = 33 sq.cm
  34. 34. The sum of two perfect squares, need not be always a perfect square. Also the difference of two perfect squares need not be always a perfect square. Bu the product of two perfect square is a perfect square. Try These (Text Book Page No. 26)
  35. 35. In an isosceles triangle the altitude dives its base into two equal parts. Now in the figure, ∆ABC is an isosceles triangle with AD as its height In the figure, AD is the altitude and ∆ABD is a right triangle. By Pythagoras theorem, AB 2 = AD 2 + BD 2 ⇒ AD 2 = AB 2 – BD 2 = 13 2 – 12 2 = 169 – 144 = 25 AD 2 = 25 = 5 2 Height: AD = 5cm

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