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Samacheer Kalvi Class 6 Maths Practice Question Papers

Download free Samacheer Kalvi Class 6 Maths practice question papers with full answer keys. These are original Brain Grain model papers — built from our verified question bank to the real exam blueprint (sections, marks and solutions) — perfect for board revision and model tests.

Brain Grain · braingrain.in
Maths — Practice Paper · Set 1
Class: 6Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.2\(\frac { 1 }{ 2 }\) years is equal to ______ months.A. 25B. 30C. 24D. 5[1]
2.I have a box which has 3 green, 9 blue, 4 yellow, 8 orange coloured cubes in it.A. What is the ratio of orange to yellow cubes?B. What is the ratio of green to blue cubes?C. How many different ratios can be formed, when you compare each colour to any one of the other colours?[1]
3.If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son isA. 10 : 50B. 50 : 10C. 5 : 1D. 1 : 5[1]
4.The greatest four-digit number which is exactly divisible by 8, 9, and 12 isA. 9999B. 9996C. 9696D. 9936[1]
5.3 units to the left of 1 isA. -4B. -3C. -2D. 3[1]
6.If all angles of a triangle are less than a right angle, then it is called _____.A. an obtuse-angled triangleB. a right-angled triangleC. an isosceles right-angled triangleD. an acute-angled triangle[1]
7.The next term in the sequence 15, 17, 20, 22, 25, … is Hint: Add 2 and 3 alternativelyA. 28B. 29C. 27[1]
8.Radha is ‘x’ years of age now. 4 years ago, her age wasA. x – 4B. 4 – xC. 4 + xD. 4x[1]
9.If a Barbie doll costs ₹ 90, then the cost of 3 such dolls is ₹ _____A. 260B. 270C. 30D. 93[1]
10.The difference between \(\frac{3}{7}\) and \(\frac{2}{9}\) isA. \(\frac{13}{63}\)B. \(\frac{1}{9}\)C. \(\frac{1}{7}\)D. \(\frac{9}{16}\)[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.8 ÷ \(\frac{1}{2}\) = ____________.[1]
12.Ratio of 75 paise to ₹ 2 = ____[1]
13.The expanded form of the number 76,70,905 is _______[1]
14.The nearest 100 of 843 is _____[1]
15.……… symmetry occurs when an object slides to new position.[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.Both addition and multiplication are commutative for whole numbers.[1]
17.16254 is divisible by 2, 3, 6, and 9.[1]
18.0° and 180° are supplementary.[1]
19.7 Persons are to 49 Persons as 11 kg is to 88 kg[1]
20.A rectangle has four lines of symmetry.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.An oil tin contains 3\(\frac{3}{4}\) litres of oil of which 2\(\frac{1}{2}\) litres of oil is used. How much oil is left over?[2]
22.Write any eight-digit number with 6 in ten lakhs place and 9 in ten-thousandth place.[2]
23.Arrange the name of your classmates alphabetically.[2]
24.The digits of the prime number 13 can be reversed to get another prime number 31. Find if any such pair exists up to 100.[2]
25.Change the following into 24-hour format. (i) 3.15 am ( ii) 12.35 pm (iii) 12.00 noon (iv) 12.00 mid night[2]
26.Write the number of names in words using the International System. 345,678 8,343,710 103,456,789[2]
27.The product of 2 two-digit numbers is 300 and their HCF is 5. What are the numbers?[2]
28.Sankari purchased 2\(\frac{1}{2}\) m cloth to stich a long skirt and 1\(\frac{3}{4}\) m cloth to stitch blouse. If the cost is Rs. 120 per metre then find the cost of cloth purchased by her.[2]
29.The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are give below (i) How many small size squares are there in each of the rectangles P,Q, R and S? (ii) Fill in the boxes.[2]
30.What time will it be 5 hours after 22:35 hours? (i) 2:30 hours (ii) 3:35 hours (iii) 4:35 hours (iv) 5:35 hours[2]
31.In an apartment consisting of 108 floors, two lifts A & B starting from the ground floor, stop at every 3rd and 5th floors respectively. On which floors, will both of them stop together?[2]
32.Which is smaller? The difference between 2\(\frac{1}{2}\) and 3\(\frac{2}{3}\) or the sum of 1\(\frac{1}{2}\) and 2\(\frac{1}{4}\).[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.Convert into indicated units: (i) 10 l and 50 ml into ml (ii) 4 km and 300 m into m (iii) 300 mg into g[5]
34.Can a triangle be formed with the following angles? If yes, name the type of triangle. (i) 60°, 60°, 60° (ii) 60°, 40°, 42° (iii) 90°, 55°, 35° (iv) 60°, 90°, 90° (v) 70°, 60°, 50° (vi) 100°, 50°, 30°[5]
35.A gets double of what B gets and B gets double of what C gets. Find A : B and B : C and verify whether the result is in proportion or not.[5]
🔑 Show Answer Key — Set 1
  1. 1. (b) 30
  2. 2. Number of green cubes = 3 Number of blue cubes = 9 Number of yellow cubes = 4 Number of orange cubes = 8 (a) Ratio of orange to yellow cubes \(\frac{\text { Number of orange cubes }}{\text { Number of yellow cubes }}=\frac{8}{4}=\frac{2}{1}=2: 1\) Ratio of orange to yellow cubes = 2 : 1 (b) \(\frac{\text { Number of green cubes }}{\text { Number of blue cubes }}=\frac{3}{9}=\frac{1}{3}\) Ratio of green to blue cubes = 1 : 3 (c) The ratios can be Orange : Yellow, Orange: blue, Orange : green, Yellow : Orange, yellow : blue, yellow : green, blue : green, blue : orange, blue : yellow, green : orange, green : yellow, green : blue. Thus 12 ratios can be formed.
  3. 3. (c) 5 : 1
  4. 4. (d) 9936
  5. 5. (c) -2
  6. 6. (d) an acute-angled triangle
  7. 7. (c) 27
  8. 8. (a) x – 4
  9. 9. (b) 270 Hint: Cost of 3 dolls = 90 × 3 = ₹ 270
  10. 10. (a) \(\frac{13}{63}\)
  11. 11. 16
  12. 12. 3 : 8 Hint: ₹ 2 = 200 paise
  13. 13. 7 × 10,00,000 + 6 × 1,00,000 + 7 × 10,000 + 0 + 9 × 100 + 0 + 5 × 1 (or) 70,00,000 + 6,00,000 + 70,000 + 900 + 5
  14. 14. 800. The digit in tens place is 4 < 5
  15. 15. Translation
  16. 16. True
  17. 17. True
  18. 18. True Hint: 0° + 180° = 180°
  19. 19. False Hint: 7 : 49 :: 11 : 48 49 × 11 ≠ 7 × 48 539 ≠ 336
  20. 20. False
  21. 21. (refer textbook)
  22. 22. 76594231 86493725
  23. 23. (refer textbook)
  24. 24. (17, 71), (37, 73) and (79, 97)
  25. 25. (i) 03.15 hours (ii) 12.35 hours (iii) 12.00 hours (iv) 24.00 hours
  26. 26. Three hundred forty-five thousand six hundred seventy-eight. Eight million three hundred forty-three thousand seven hundred ten. One hundred three million four hundred fifty-six thousand seven hundred eighty-nine.
  27. 27. 15 × 20 = 300 HCF of 15 and 20 is 5 The numbers are 15 and 20
  28. 28. Total cloth purchasedcost of 1 metre = Rs. 120 Total cost of cloth purchased = Rs. 120 × \(\frac{17}{4}\) = Rs. 510
  29. 29. (i) P = 2; Q = 8; R = 6; S = 10
  30. 30. (ii) 3:35 hours
  31. 31. LCM of 3 and 5 = 3 × 5 = 15 The lifts stop together at floors 15, 30, 45, 60, 75, 90, and 105.
  32. 32. ∴ The difference of 2\(\frac{1}{2}\) and 3\(\frac{2}{3}\) is smaller
  33. 33. (i) 10 l and 50 ml = 10 × 1000 ml + 50 ml = (10000 + 50)ml = 10050 ml (ii) 4 km and 300 m = 4 × 1000 + 300 m = (4000 + 300) m = 4300 m (iii) 300 mg = \(\frac{300}{1000}\)g = 0.3 g
  34. 34. (i) 60°, 60°, 60° Sum of the angles = 60°+ 60°+ 60° = 180° A triangle can be formed as an acute-angled triangle. (ii) 60°, 40°, 42° Sum of the angles = 60° + 40° + 42° = 142° A triangle cannot be formed. (iii) 90°, 50°, 35° Sum of the angles = 90° + 55° + 35° = 180° A triangle can be formed Right-angled triangle. (iv) 60°, 90°, 90° No, a triangle can not be formed. A triangle cannot have more than one right angle. (v) 70°, 60°, 50° Sum of the angles = 70° + 60° + 50° = 180° A triangle can be formed as an acute-angled triangle. (vi) 100°, 50°, 30° Sum of the angles = 100° + 50° + 30° = 180° A triangle can be formed as an obtuse-angled triangle.
  35. 35. Let x be the part owned by C then A : B : C = 2(2x) : 2x : x = 4x : 2x : x A : B = 4x : 2x = 2 : 1 B : C = 2x : x = 2 : 1 A : B : : B : C. i.e, They are in proportion.
Brain Grain · braingrain.in
Maths — Practice Paper · Set 2
Class: 6Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?A. \(\frac{2}{3}\) of Rs 150B. \(\frac{3}{5}\) of Rs 150C. \(\frac{4}{5}\) of Rs 150D. \(\frac{1}{5}\) of Rs 150[1]
2.The prime factorisation of 60 is 2 × 2 × 3 × 5. Any other number which has the same prime factorisation as 60 isA. 30B. 120C. 90D. Impossible[1]
3.One unit to the right of -7 isA. +1B. -8C. -7D. -6[1]
4.The order of rotational symmetry of 818 is ………A. 1B. 2C. 3D. 4[1]
5.Which of the following ratios are in proportion?A. 3 : 5, 6 : 11B. 2 : 3, 9 : 6C. 2 : 5, 10 : 25D. 3 : 1, 1 : 3[1]
6.A line is denoted as __________A. ABB. \(\overrightarrow{AB}\)C. \(\overleftrightarrow {AB} \)D. \(\overline { AB }\)[1]
7.Variable means that itA. can take only a few valuesB. has a fixed valueC. can take different valuesD. can take only 8 values[1]
8.Which of the following pairs is co-prime?A. 51, 63B. 52, 91C. 71, 81D. 81, 99[1]
9.The ratio of 1 m to 50 cm isA. 1 : 50B. 50 : 1C. 2 : 1D. 1 : 2[1]
10.If Rs 1600 is dividedA. Rs 480B. Rs 800C. Rs 1000D. Rs 200[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.12 : ……… :: ………. :: 4 = 8 : 16[1]
12.3753 is divisible by 9 and hence divisible by _______[1]
13.7\(\frac{3}{4}\) + 6\(\frac{1}{2}\) = ____________.[1]
14.The HCF of 45 and 75 is …….[1]
15.iii) A regular polygon of ‘n’ sides has lines of symmetry and the order of rotational symmetry is ______[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.The HCF of two numbers is always a factor of their LCM.[1]
17.3\(\frac{1}{2}\) can be written as 3 + \(\frac{1}{2}\).[1]
18.88° and 12° are complementary.[1]
19.In the Indian System of Numeration, the number 67999037 is written as 6,79,99,037[1]
20.Gayathri bought 1 kg of birthday cake. She shared 450 g with her friends. The weight of cake remaining is 650 g.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.Write two different real-life situations that represent the integer -3.[2]
22.Calculate your age as on 01.06.2018[2]
23.Using the given horizontal line/ vertical line as a line of symmetry, complete each alphabet to discover the hidden word.[2]
24.Draw any line and mark any 3 points that are collinear.[2]
25.Convert the following numerical expressions into Tree diagrams (i) 8 + (6 × 2) (ii) 9 – (2 × 3) (iii) (3 × 5) – (4 – 2) (iv) [(2 × 4) + 2] × (8 – 2)] (v) [(6 + 4) × 7] – [2 × (10 – 5)] (vi) [(4 × 3) – 2] + [8 × (5 – 3)][2]
26.Find the integers that are 4 units to the left of 0 and 2 units to the right of -3?[2]
27.Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.[2]
28.Write the largest six-digit number and put commas in the Indian and the International Systems.[2]
29.Write the following numbers in the International System by using commas. 347056 7345671 634567105 1234567890[2]
30.The LCM of two numbers is 6 times their HCF. If the HCF is 12 and one of the numbers is 36, then find the other number.[2]
31.Write the number name in numerals. Two crores thirty lakhs fifty-one thousand nine hundred eighty. Sixty-six million three hundred forty-five thousand twenty-seven. Seven hundred eighty-nine million, two hundred thirteen thousand four hundred fifty-six.[2]
32.Round off the following to the given nearest place. (i) 4,065; hundred (ii) 44,555; thousand (iii) 86,943; ten thousand (iv) 50,81,739; lakh (v) 33,75,98,482; ten crore[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.Find the opposite of the following numbers. (i) 44 (ii) -19 (iii) 0 (iv) -312 (v) 789[5]
34.A piece of wire is 36 cm long. What will be the length of each side if we form (i) a square (ii) an equilateral triangle[5]
35.The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side.[5]
🔑 Show Answer Key — Set 2
  1. 1. (c) \(\frac{4}{5}\) of Rs 150
  2. 2. (d) Impossible
  3. 3. (d) -6
  4. 4. (b) 2
  5. 5. (c) 2 : 5, 10 : 25 Hint: 2 × 25 = 5 × 10 ⇒ 50 = 50
  6. 6. (c) \(\overleftrightarrow {AB} \)
  7. 7. (c) can take different values
  8. 8. (c) 71, 81
  9. 9. (c) 2 : 1
  10. 10. (c) Rs 1000
  11. 11. 24, 2 Hint: 16y = 8 × 4 ⇒ y = 2 12 × 4 = 2x ⇒ x = 24
  12. 12. 3
  13. 13. 14\(\frac{1}{4}\)
  14. 14. 15
  15. 15. n, n
  16. 16. True
  17. 17. True
  18. 18. False Hint: 88° + 180° = 260° ≠ 1
  19. 19. True
  20. 20. False
  21. 21. (i) A sapling planted at a depth of 3m (ii) Sheela lost ₹ 3 on selling an apple.
  22. 22. My date of birth 20.11.1999 Convert in the format yyyy/mm/ddMy age is 18 yrs 6 months 11 daysObjective Type Questions
  23. 23. (i) DECODE (ii) KICK (iii) BED (iv) WAY (v) MATY (vi) TOMATO
  24. 24. (refer textbook)
  25. 25. (refer textbook)
  26. 26. -4, -1 Challenge Problems
  27. 27. (a) No of ice candy sticks used = 3 × n = 3n (b) No of ice candy sticks used = 4 × n = 4n
  28. 28. Largest 6 digit number = 9,99,999 Indian System: 9,99,999 (Nine Lakh Ninety-Nine Thousand Nine Hundred Ninety-Nine) International System: 999,999 (Nine Hundred Ninety-Nine Thousand, Nine Hundred Ninety-Nine)
  29. 29. 347,056 7,345,671 634,567,105 1,234,567,890
  30. 30. 36x = 6 × 12 × 12 ⇒ \(x=\frac{6 \times 12 \times 12}{36}=24\)Objective Type Questions
  31. 31. 2,30,51,980 66,345,027 789,213,456
  32. 32. (i) 4100 (ii) 45,000 (iii) 90,000 (iv) 51,00,000 (v) 30,00,00,000
  33. 33. (i) Opposite of 44 is – 44 (ii) Opposite of-19 is + 19 or 19 (iii) Opposite of 0 is 0 (iv) Opposite of-312 is + 312 or 312 (v) Opposite of 789 is – 789.
  34. 34. Given the length of the wire = 36 cm i) When a square is formed out of it The perimeter of the square = 36 cm 4 × side = 36 side = \(\frac{36}{4}\) = 9 cm Side of the square ii) When an equilateral triangle is formed out of it, its perimeter = 36 cm i.e., side + side + side = 36 cm . 3 × side = 36 cm side = \(\frac{36}{3}\) = 12 cm One side of an equilateral triangle = 12 cm
  35. 35. Let the third side be C perimeter = (a + b + c) units 40 = 13 + 15 + C 40 = 28 + C C = 40 – 28 C = 12 units C = 12 cm
Brain Grain · braingrain.in
Maths — Practice Paper · Set 3
Class: 6Samacheer KalviMax Marks: 59
Name: ____________________Reg No: ____________
Part I — Multiple Choice Questions 10 × 1 = 10

Choose the correct answer. (Answer all questions.)

1.In this figure, ∠AYZ = 45. If point ‘A’ is shifted to point ‘B’ along the ray, then the measure of ∠BYZ isA. more than 45°B. 45°C. less than 45°D. 90°[1]
2.The difference between two successive odd numbers isA. 1B. 2C. 3D. 0[1]
3.If two identical rectangles of perimeter 30 cm are joined together, then the perimeter of the new shape will beA. equal to 60 cmB. less than 60 cmC. greater than 60 cmD. equal to 45 cm[1]
4.Discount = M.P.A. ProfitB. S.PC. LossD. C.P[1]
5.A bar graph can be drawn usingA. Horizontal bars onlyB. Vertical bars onlyC. Both horizontal bars and Vertical barsD. Either horizontal bars or vertical bars[1]
6.The value of 24 ÷ {8 – (3 × 2)} is ______A. 0B. 12C. 3D. 4[1]
7.If two sides of a triangle are 5 cm and 9 cm, then the third side isA. 5 cmB. 3 cmC. 4 cmD. 14 cm[1]
8.The number which determines marking the position of any number to its opposite on a number line isA. -1B. 0C. 1D. 10[1]
9.If a man walks 2 km in 15 minutes, then he will walk _____ km in 45 minutes.A. 10B. 8C. 6D. 12[1]
10.If 7 : 5 is in proportion to x : 25, then ‘x’ isA. 27B. 49C. 35D. 14[1]
Part II — Fill in the Blanks 5 × 1 = 5

Fill in the blanks. (Answer all questions.)

11.The nearest 10,000 of 85654 is ______[1]
12.Put the appropriate signs as <, > or = in the blank. (i) -7 ___ 8 (ii) -8 ___ -7 (iii) -999 ___ -1000 (iv) 0 ___ -200[1]
13.……… : 24 :: 3 : 8[1]
14.If the cost of 3 pens is Rs 18, then the cost of 5 pens is ……..[1]
15.Complete the following pattern. (i) 1 + 2 + 3 + 4 = 10 2 + 3 + 4 + 5 = 14 ___ + 4 + 5 + 6 = ___ 4 + 5 + 6 + ___ = ___ (ii) 1 + 3 + 5 + 7 = 16 ___ + 5 + 7 + 9 = 24 5 + 7 + 9 + ___ = ___ 7 + 9 + ___ + 13 = ___ (iii) AB, DEF, HIJK, ___ , STUVWX (vi) 20, 19, 17, ___ , 10, 5[1]
Part III — True or False 5 × 1 = 5

Write True or False. (Answer all questions.)

16.0 is the identity for multiplication of whole numbers.[1]
17.Each of the integers -18, 6, -12, 0 is greater than -20.[1]
18.40 + (56 – 6) ÷ 2 = 45[1]
19.Meena bought 250 ml of buttermilk which is equal to 2.5 l.[1]
20.The Sum of two whole numbers is always less than their product.[1]
Part IV — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

21.P, Q, R, and S are four different integers on a number line. From the following clues, find these integers and write them in ascending order. (i) S is the least of the given integers. (ii) R is the smallest positive integer. (iii) The integers P and S are at the same distance from 0. (iv) Q is 2 units to the left of integer R.[2]
22.By what number should 3\(\frac{1}{16}\) be multiplied to get 9\(\frac{3}{16}\)?[2]
23.Find the minimum number of straight lines used in forming the following figures.[2]
24.Write the numerical expression which gives the answer 10 and also convert into tree diagram.[2]
25.On the number line, which number is (i) 4 units to the right of -7? (ii) 5 units to the left of 3?[2]
26.Follow and execute the instructions given below. (i) Write the number 10 in the place common to the three figures (ii) Write the number 5 in the place common for square and circle only. (iii) Write the number 7 in the place common for triangle and circle only. (iv) Write the number 2 in the place common for triangle and square only. (v) Write the numbers 12, 14, and 8 only in square, circle, and triangle respectively.[2]
27.From his office, a person wants to reach his house on foot which is at a distance of 5\(\frac{3}{4}\) km. If he had walked 2\(\frac{1}{2}\) km, how much distance still he has to walk to reach his house?[2]
28.I am a closed figure with each of my three angles is 60°. Who am I?[2]
29.The sum of two fractions is 5\(\frac{3}{9}\). If one of the fractions is 2\(\frac{3}{4}\), find the other fraction.[2]
30.The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangle so formed.[2]
31.The bar graph illustrates the results of a survey conducted on vehicles crossing over a Toll Plaza in one hour. Observe the bar graph carefully and fill up the following table.[2]
32.Observe the pattern and find the word by hiding the Numbers 1 H 2 0 3 W, 4 A 5 R 6 E, 7 Y 8 0 9 U.[2]
Part V — Long Answer Questions 3 × 5 = 15

Answer in detail. (Answer all questions.)

33.Gopal is 8 years younger than Karnan. If the sum of their ages is 30, how old is Karnan?[5]
34.(i) Draw the next pattern. (ii) Prepare a table for the number of dots used for each pattern. (iii) Explain the pattern. (iv) Find the number of dots in the 25th pattern.[5]
35.₹ 62,500 was equally distributed as a New Year bonus for 25 employees of a company. How much did each receive?[5]
🔑 Show Answer Key — Set 3
  1. 1. (b) 45°
  2. 2. (b) 2
  3. 3. (b) less than 60 cm
  4. 4. (b) S.P
  5. 5. (d) Either horizontal bars or vertical bars
  6. 6. (b) 12 24 ÷ {8 – 3 × 2} = 24 ÷ {8 – 6} = 24 ÷ 2 = 12
  7. 7. (a) 5 cm
  8. 8. (b) 0
  9. 9. (c) 6 Hint: 1 min he walks = \(\frac{2}{15}\) km 45 min he walks = \(\frac{2}{15}\) × 45 = 6 km.
  10. 10. (c) 35 Hint: 5x = 7 × 25 ⇒ x = 35
  11. 11. 90,000. The digit in a thousand places is 5 ≥ 5
  12. 12. (i) < (ii) < (iii) > (iv) = (v) >
  13. 13. 9 8x = 24 × 3 ⇒ x = 9
  14. 14. ₹ 30 Hint: \(5 \times \frac{18}{3}\) = 5 × 6 = ₹ 30
  15. 15. (i) 3, 18; 7, 22 (ii) 3; 11, 32; 11, 40 (iii) MNOPQ (iv) 14
  16. 16. False
  17. 17. True
  18. 18. False Hint: 40 + 50 ÷ 2 = 40 + 25 = 65
  19. 19. False
  20. 20. False
  21. 21. S < Q < 0 < R < P
  22. 22. Let the number be x According to the problem,x = 3 The number is 3
  23. 23. (i) 10 (ii) 12
  24. 24. (refer textbook)
  25. 25. (i) -3 (ii) -2
  26. 26. (refer textbook)
  27. 27. (refer textbook)
  28. 28. Equilateral triangle
  29. 29. Let the other fraction be x According to the problem,∴ The other fraction is 2\(\frac{7}{12}\)
  30. 30. Isosceles right-angled triangles
  31. 31. Vans = 50; Buses = 40; Cars = 65; Others = 15 Total Vehicles = 245
  32. 32. HOW ARE YOU
  33. 33. Let the age of Kaman be x years Gopal’s age = x – 8 Ace to the problem, x + x – 8 = 30 2x – 8 = 30 2x = 30 + 8 2x = 38 x = \(\frac{38}{2}\) x = 19 Age of Kaman = 19 years
  34. 34. (i) The next pattern has 14 dots. (ii) Pattern 1: 2 dots; Pattern 2: 5 dots; Pattern 3: 9 dots; Pattern 4: 14 dots. (iii) Pattern 1: 2; Pattern 2: 2 + 3; Pattern 3: 2 + 3 + 4; Pattern 4: 2 + 3 + 4 + 5. (iv) 350
  35. 35. Total amount = Rs 62500 Total number of employees = 25 Bonus amount received by each employee = Rs 62500 ÷ 25 = RS \(\frac{62500}{25}\) = Rs 2500

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