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.The greatest four-digit number which is exactly divisible by 8, 9, and 12 isA. 9999B. 9996C. 9696D. 9936[1]
2.2\(\frac { 1 }{ 2 }\) years is equal to ______ months.A. 25B. 30C. 24D. 5[1]
3.An equivalent ratio of 4 : 7 isA. 1 : 3B. 8 : 15C. 14 : 8D. 12 : 21[1]
4.If the ratios formed using the numbers 2, 5, x, 20 in the same order are in proportion, then ‘x’ isA. 50B. 4C. 10D. 8[1]
5.The only even prime number isA. 4B. 6C. 2D. 0[1]
6.The difference between successor and predecessor of 99999 isA. 90000B. 1C. 2D. 99001[1]
7.The opposite of 20 units to the left of 0 isA. 20B. 0C. -20D. 40[1]
8.Explain your answer with the reason for the following statements.A. A number is divisible by 9 if it is divisible by 3.B. A number is divisible by 6 if it is divisible by 12.[1]
9.The reciprocal of \(\frac{53}{17}\) isA. \(\frac{53}{17}\)B. 5\(\frac{3}{17}\)C. \(\frac{17}{53}\)D. 3\(\frac{5}{17}\)[1]
10.Which is the greatest 0.007 g, 70 mg, 0.07 cg?A. 0.07 cgB. 0.007 gC. 70 mgD. all are equal[1]
Part II — Fill in the Blanks 5 × 1 = 5
Fill in the blanks. (Answer all questions.)
11.5\(\frac{1}{3}\) − 3\(\frac{1}{2}\) = ____________.[1]
12.A figure is said to have rotational symmetry, if the order of rotation is atleast ……….[1]
13.A ray has ______ endpoint(s).[1]
14.26 m² = ______ cm²[1]
15.Put the appropriate signs as <, > or = in the blank. (i) -7 ___ 8 (ii) -8 ___ -7 (iii) -999 ___ -1000 (iv) 0 ___ -200[1]
Part III — True or False 5 × 1 = 5
Write True or False. (Answer all questions.)
16.The sum of any two proper fractions is always an improper fraction.[1]
17.3\(\frac{1}{2}\) can be written as 3 + \(\frac{1}{2}\).[1]
18.The statements ‘x’ divided by 3 and 3 divided by ‘x’ are the same.[1]
19.The ratio of 130 cm to 1 m is 13 : 10[1]
20.In the Indian System of Numeration, the number 67999037 is written as 6,79,99,037[1]
Part IV — Short Answer Questions 12 × 2 = 24
Answer briefly. (Answer all questions.)
21.(i) Convert 480 days into years. (ii) Convert 38 months into years[2]
22.identify the integers and mark on the number line that are at a distance of 8 units from – 6.[2]
23.Calculate your age as on 01.06.2018[2]
24.Construct a number line that shows the depth of 10 feet from the ground level and its opposite.[2]
25.Amutha marked her home product of pickle as Rs 300 per pack. But she sold it for only Rs 275 per pack. What was the discount offered by her per pack?[2]
26.Sugan bought a pair of jeans pant for Rs 750 not fit him. He sold it to his friend for Rs 710, Find the profit or loss to sugan.[2]
27.The sum of any two successive odd numbers is always divisible by 4. Justify this statement with an example.[2]
28.Cheran had a bank savings of ₹ 7,50,250. He withdrew ₹ 5,34,500 for educational purposes. Find the balance amount in his account.[2]
29.Using the given horizontal line/ vertical line as a line of symmetry, complete each alphabet to discover the hidden word.[2]
30.26 students were interviewed to find out what they want they to become in future. Their responses are given in the following table. Represent this data using pictograph.[2]
31.I am a two-digit prime number and the sum of my digits is 10.1 am also one of the factors of 57. Who am I?[2]
32.Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular)[2]
Part V — Long Answer Questions 3 × 5 = 15
Answer in detail. (Answer all questions.)
33.Convert into lower units: (i) 15 km (m, cm, mm) (ii) 12 kg (g, mg)[5]
34.Rahim and Peter go for a morning walk, Rahim walks around a. square path of side 50 m and Peter walks around a rectangular path with a length of 40 m and a breadth of 30 m. If both of them walk 2 rounds each, who covers more distance and by how much?[5]
35.Find HCF of 48 and 28. Also find the HCF of 48 and the number obtained by finding their difference.[5]
🔑 Show Answer Key — Set 1
- 1. (d) 9936
- 2. (b) 30
- 3. (d) 12 : 21
- 4. (d) 8 5x = 2 × 20 ⇒ x = 8
- 5. (c) 2
- 6. (c) 2
- 7. (a) 20
- 8. (i) False, 42 is divisible by 3 but it is not divisible by 9 (ii) True, 36 is divisible by 12. Also divisible by 6.
- 9. (c) \(\frac{17}{53}\)
- 10. (d) all are equal
- 11. 1\(\frac{5}{6}\)
- 12. two
- 13. one
- 14. 260000
- 15. (i) < (ii) < (iii) > (iv) = (v) >
- 16. False
- 17. True
- 18. False
- 19. True Hint: 1m = 100 cm
- 20. True
- 21. (i) 480 days = \(\frac{480}{365}\) = 1 year 115 days = 1 year 3 months 25 days (ii) 38 months = \(\frac{38}{12}\) = 3 years 2 months
- 22. (refer textbook)
- 23. My date of birth 20.11.1999 Convert in the format yyyy/mm/ddMy age is 18 yrs 6 months 11 daysObjective Type Questions
- 24. (refer textbook)
- 25. MP = Rs 300 SP = Rs 275 Discount = MP – SP = Rs 300 – Rs 275 = Rs 25
- 26. CP = Rs 750 SP = Rs 710 CP > SP Loss = CP – SP = Rs 750 – Rs 710 = Rs 40
- 27. True 3 + 5 = 8 is divisible by 4.
- 28. Bank Savings of Cheran = ₹ 7,50,250 Withdrew Amount = ₹ 5,34,500 Balance Amount = ₹ 2,15,750
- 29. (i) DECODE (ii) KICK (iii) BED (iv) WAY (v) MATY (vi) TOMATO
- 30. Students responses in an interview about their future profession Scale: 1 Unit = 1 student
- 31. Two-digit prime numbers with a sum of digits 10 are 19, 37, 73. of these factors of 57 is 19. the number is 19.
- 32. (i) Parallel lines (ii) Parallel lines (iii) Parallel and Perpendicular lines (iv) Intersecting lines
- 33. (i) 15 km = 15 × 1000 m = 15000 m 15 km = 15 × 100000 cm = 1500000 cm 15 km = 15 × 1000000 mm = 15000000 mm (ii) 12 kg (g, mg) 12 kg = 12 × 1000 g = 12000 g 12 kg = 12 × 1000000 mg = 12000000 mg
- 34. Distance covered by Rahim = 50 × 4 m = 200 m If he walks 2 rounds, distance covered = 2 × 200 m = 400 m Distance covered by peter = 2 (40 + 30) m = 2(70)m = 140 m If he walks 2 rounds, distance covered = 2 × 140 m = 280 m ∴ Rahim covers more distance by (400 – 280) = 120 m
- 35. HCF of 48 and 28 48 = 2 × 2 × 2 × 2 × 3 28 = 2 × 2 × 7 HCF of (48, 28) = 2 × 2 = 4 HCF of (48, 48 – 28) 48 = 2 × 2 × 2 × 2 × 3 20 = 2 × 2 × 5 HCF of (48, 20) = 4
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.Discount = M.P.A. ProfitB. S.PC. LossD. C.P[1]
2.If 2 : 3 and 4 : …… are equivalent ratios, then the missing term isA. 6B. 2C. 4D. 3[1]
3.The length and breadth of a rectangular sheet of paper are 15 cm and 12 cm respectively. A rectangular piece is cut from one of its corners. Which of the following statement is correct for the remaining sheet?A. Perimeter remains the same but the area changesB. Area remains the same but the perimeter changesC. There will be a change in both area and perimeterD. Both the area and perimeter remains the same.[1]
4.Which is not an equivalent ratio of \(\frac{16}{24}\)?A. \(\frac{6}{9}\)B. \(\frac{12}{18}\)C. \(\frac{10}{15}\)D. \(\frac{20}{28}\)[1]
5.The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum isA. 26B. 36C. 46D. 56[1]
6.The number 9785764 is rounded off to the nearest lakh asA. 9800000B. 9786000C. 9795600D. 9795000[1]
7.If a man walks 2 km in 15 minutes, then he will walk _____ km in 45 minutes.A. 10B. 8C. 6D. 12[1]
8.There are ……… positive integers from -5 to 6.A. 5B. 6C. 7D. 11[1]
9.There is no profit or loss when ______.A. C.P = S.P.B. C.P. > S.PC. C.P. < S.PD. M.P = Discount[1]
10.Which of the following statement is incorrect?A. \(\frac{1}{2}\) > \(\frac{1}{3}\)B. \(\frac{7}{8}\) > \(\frac{6}{7}\)C. \(\frac{8}{9}\) < \(\frac{9}{10}\)D. \(\frac{10}{11}\) > \(\frac{9}{10}\)[1]
Part II — Fill in the Blanks 5 × 1 = 5
Fill in the blanks. (Answer all questions.)
11.The potable water available at 100 m below the ground level is denoted as ……… m.[1]
12.The numbers 29 and _______ are twin primes.[1]
13.5 cm² = ______ mm²[1]
14.The HCF of 45 and 75 is …….[1]
15.A right-angled triangle with two equal sides is called ____________.[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]
17.5 : 7 is equivalent to 21 : 15[1]
18.If 40 is divided in the ratio 3 : 2, then the larger part is 24[1]
19.7 Persons are to 49 Persons as 11 kg is to 88 kg[1]
20.10 more to three times ‘c’ is ‘3c + 13’.[1]
Part IV — Short Answer Questions 12 × 2 = 24
Answer briefly. (Answer all questions.)
21.Use brackets in appropriate place to the expression 3 x 8 – 5 which gives 19 and convert it into tree diagram for it.[2]
22.Muthu has a car worth Rs 8,50,000 and he wants to sell it at a profit of Rs 25,000. What should be the selling price of the car?[2]
23.Find the dates of any month in a calendar which are divisible by both 2 and 3.[2]
24.Draw any 3 lines that are not concurrent. Find the number of points of intersection.[2]
25.Express the following verbal statement to an algebraic statement. (i) ‘t’ is added to 100 (ii) 4 times ‘q’ (iii) 8 is reduced by ‘y’ (iv) 56 added to 2 times ‘x’ (v) 4 less to 9 times of ‘y’[2]
26.On the number line, which number is (i) 4 units to the right of -7? (ii) 5 units to the left of 3?[2]
27.Draw and label each of the angles. (i) ∠NAS = 90°n (ii) ∠BIG = 35° (iii) ∠SMC = 145°[2]
28.Write the largest six-digit number and put commas in the Indian and the International Systems.[2]
29.Tamil Nadu has about twenty-six thousand three hundred forty-five square kilometres of Forest land. Write the number mentioned in the statement in the Indian System.[2]
30.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]
31.Try to open my locked suitcase which has the biggest 5 digit odd number as the password comprising the digits 7, 5, 4, 3 and 8. Find the password.[2]
32.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]
Part V — Long Answer Questions 3 × 5 = 15
Answer in detail. (Answer all questions.)
33.Find HCF of 188 and 230 by Euclid’s game.[5]
34.Find the prime factorisation of each number by factor tree method and division method. (i) 60 (ii) 128 (iii) 144 (iv) 198 (v) 420 (vi) 999[5]
35.A piece of wire is ‘12s’ cm long. What will be the length of the side if it is formed as (i) an equilateral triangle. (ii) a square?[5]
🔑 Show Answer Key — Set 2
- 1. (b) S.P
- 2. (a) 6
- 3. (a) Perimeter remains the same but the area changes
- 4. (d) \(\frac{20}{28}\)
- 5. (b) 36
- 6. (a) 9800000
- 7. (c) 6 Hint: 1 min he walks = \(\frac{2}{15}\) km 45 min he walks = \(\frac{2}{15}\) × 45 = 6 km.
- 8. (c) 7
- 9. (a) cost price = selling price
- 10. (d) \(\frac{10}{11}\) > \(\frac{9}{10}\)
- 11. 100
- 12. 31
- 13. 500
- 14. 15
- 15. Isosceles right-angled triangle
- 16. True
- 17. False Hint: \(\frac{21}{15}=\frac{7}{5}=7: 5\)
- 18. True Hint: \(\frac{3}{5} \times 40=24\)
- 19. False Hint: 7 : 49 :: 11 : 48 49 × 11 ≠ 7 × 48 539 ≠ 336
- 20. False Hint: 3c + 10
- 21. = 3 × 8 – 5 = (3 × 8) – 5 = 24 – 5 = 19
- 22. CP = Rs 8,50,000 Profit = Rs 25,000 SP = CP + Profit = Rs 8,50,000 + Rs 25,000 = Rs 8,75,000
- 23. Every month the dates 6, 12, 18, 24, and 30 (excluding February) are divisible by both 2 and 3.
- 24. Number of points of intersection = 3Objective Type Questions Observe the Diagram and give answers
- 25. (i) t + 100 (ii) 4q (iii) 8 – y (iv) 2x + 56 (v) 9y – 4
- 26. (i) -3 (ii) -2
- 27. (refer textbook)
- 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. 26,345
- 30. (refer textbook)
- 31. 87543
- 32. LCM of 3 and 5 = 3 × 5 = 15 The lifts stop together at floors 15, 30, 45, 60, 75, 90, and 105.
- 33. By Euclid’s game HCF (a, b) = HCF (a, a – b) if a > b. Here HCF (188, 230) = HCF (230, – 188) because 230 > 188 = HCF (188, 42) = HCF (146, 42) = HCF (104, 42) = HCF (62, 42) = HCF (42, 20) = HCF (22, 20) = HCF (20,2) = HCF (18, 2) = 2 ∴ HCF (230, 188) = 2
- 34. 60 = 2 × 30 = 2 × 2 × 15 = 2 × 2 × 3 × 5128 = 2 × 2 × 2 × 2 × 2 ×2 × 2 128 = 2 × 64 = 2 × 2 × 32 = 2 × 2 × 2 × 16 = 2 × 2 × 2 × 2 × 8 128 = 2 × 2 × 2 × 2 × 2 × 4 = 2 × 2 × 2 × 2 × 2 × 2 × 2144 = 2 × 2 × 2 × 2 × 3 × 3 144 = 2 × 72 = 2 × 2 × 36 = 2 × 2 × 2 × 18 = 2 × 2 × 2 × 2 × 9 = 2 × 2 × 2 × 2 × 3 × 3198 = 2 × 3 × 3 × 11 198 = 2 × 99 = 2 × 3 × 33 = 2 × 3 × 3 × 11420 = 2 × 210 = 2 × 2 × 105 = 2 × 2 × 3 × 35 = 2 × 2 × 3 × 5 × 7999 = 3 × 333 = 3 × 3 × 111 = 3 × 3 × 3 × 37
- 35. (i) An equilateral triangle has 3 equal sides. Length of the wire = ‘12s’ cm Length of each side = \(\frac{12 s}{3}\) cm. Length of each side of the triangle = 4s cm (ii) A square has four equal sides. Length of each side \(\frac{12 s}{4}\) cm Length of each side of the square 3s 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.Which of the following is not true?A. (4237 + 5498) + 3439 = 4237 + (5498 + 3439)B. (4237 × 5498) × 3439 = 4237 × (5498 × 3439)C. 4237 + 5498 × 3439 = (4237 + 5498) × 3439D. 4237 × (5498 + 3439) = (4237 × 5498) + (4237 × 3439)[1]
2.The successor of 10 million isA. 1000001B. 10000001C. 9999999D. 100001[1]
3.Which of the following cannot be the HCF of two numbers whose LCM is 120?A. 60B. 40C. 80D. 30[1]
4.The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.A. If one cup of ragi flour is used then, what would be the amount of raw rice required?B. If 16 cups of water are used, then how much ragi flour should be used?C. Which of these ingredients cannot be expressed as a ratio? Why?[1]
5.The number of ordinary years between two consecutive leap years is _____.A. 4 yearsB. 2 yearsC. 1 yearD. 3 years[1]
6.The number which determines marking the position of any number to its opposite on a number line isA. -1B. 0C. 1D. 10[1]
7.Which of the following correctly describes the given triangle?A. It is a right isosceles triangleB. It is an acute isosceles triangleC. It is an obtuse isosceles triangleD. It is an obtuse scalene triangle[1]
8.Discount is subtracted from ______ to get S.P.A. M.PB. C.PC. LossD. Profit[1]
9.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]
10.The estimated difference of 167826 and 2765 rounded off to the nearest thousand isA. 180000B. 165000C. 140000D. 155000[1]
Part II — Fill in the Blanks 5 × 1 = 5
Fill in the blanks. (Answer all questions.)
11.The difference between the smallest natural number and the smallest whole number is ……….[1]
12.45 ÷ (7 + 8) – 2 = _____[1]
13.48792 ………. 48972[1]
14.If Karkuzhali earns Rs 1800 in 15 days, then she earns Rs 3000 in …….. days[1]
15.An example of secondary data is ____________.[1]
Part III — True or False 5 × 1 = 5
Write True or False. (Answer all questions.)
16.7 × 20 – 4 = 136[1]
17.3\(\frac{1}{4}\) × 3\(\frac{1}{4}\) = 9\(\frac{1}{16}\)[1]
18.The HCF of two numbers is always a factor of their LCM.[1]
19.Multiplication is distributive over addition for whole numbers.[1]
20.Both addition and multiplication are associative for whole numbers.[1]
Part IV — Short Answer Questions 12 × 2 = 24
Answer briefly. (Answer all questions.)
21.The following table shows the number of tourists who visited the places in the month of May. Draw a pictograph (Choose your own suitable scale)[2]
22.A squirrel wants to eat the grains quickly. Help the Squirrel to find the shortest way to reach the grains. (Use your scale to measure the length of the line segments)[2]
23.Is a triangle possible with the angles 90°, 90°, and 0°, Why?[2]
24.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]
25.The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?[2]
26.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]
27.I am a closed figure with each of my three angles is 60°. Who am I?[2]
28.Use a variable to write the rule, which gives the number of ice candy sticks required to make the following patterns.[2]
29.The heights (in centimeters) of 40 children are. Prepare a tally marks table.[2]
30.Draw any 3 lines to have a point of concurrency.[2]
31.Rani bought a set of bangles for ₹ 310. Her neighbour liked it the most. So Rani sold it to her for ₹ 325. Find the profit or loss to Rani.[2]
32.Postal Index Number consists of six digits. The first three digits are 6, 3, and 1. Make the largest and the smallest Postal Index Number by using the digits 0, 3, and 6 each only once.[2]
Part V — Long Answer Questions 3 × 5 = 15
Answer in detail. (Answer all questions.)
33.Find the 5 or 6 or 7 digit numbers from a newspaper or a magazine to get a rounded number to the nearest ten thousand.[5]
34.Cholan walks 6 km in 1 hour at a constant speed. Find the distance covered by him in 20 minutes at the same speed.[5]
35.Wilson, Mathan, and Guna can complete one round of a circular track in 10, 15, and 20 minutes respectively. If they start together from at the starting point of 7 am, at what time will they meet together again at the same starting point?[5]
🔑 Show Answer Key — Set 3
- 1. (c) 4237 + 5498 × 3439 = (4237 + 5498) × 3439
- 2. (b) 10000001
- 3. (c) 80
- 4. (i) \(\frac{1}{4}\) cup (ii) 8 cups (iii) Ragi flour, Raw rice, and water are in one unit. Sesame oil and salt are in different units. These different units cannot be compared and cannot be expressed as a ratio because the two quantities of a ratio should be in the same unit.
- 5. (d) 3 years
- 6. (b) 0
- 7. (c) It is an obtuse isosceles triangle
- 8. (a) M.P
- 9. (d) Impossible
- 10. (b) 165000
- 11. 1
- 12. 45 ÷ 15 – 2 = 3 – 2 = 1
- 13. <
- 14. 25 Days Hint: \(\frac{1800}{3000}=\frac{15}{x}\) ⇒ x = \(\frac{15 \times 3000}{1800}\) = 25 days
- 15. Cricket scores gathered from a website
- 16. True Hint: 7 × 20 – 4 = 140 – 4 = 136
- 17. False
- 18. True
- 19. True
- 20. True
- 21. Number of Tourists who visited the places in the month of May.
- 22. The Shortest way to reach the grains is the AGFKE path.
- 23. No, a triangle cannot have more than one right angle.
- 24. ∴ The difference of 2\(\frac{1}{2}\) and 3\(\frac{2}{3}\) is smaller
- 25. No of students in a group = 5 No of students in ‘p’ groups = 5 × p = 5p
- 26. (i) P = 2; Q = 8; R = 6; S = 10
- 27. Equilateral triangle
- 28. (a) No of ice candy sticks used = 3 × n = 3n (b) No of ice candy sticks used = 4 × n = 4n
- 29. (refer textbook)
- 30. (refer textbook)
- 31. CP = Rs 310 SP = Rs 325 Profit = SP – CP = Rs 325 – Rs 310 = Rs 15
- 32. Largest Postal Index Number = 631603 Smallest Postal Index Number = 631036
- 33. (i) 14276 \(\simeq\) 10000 (ii) 1,86945 \(\simeq\) 1,90000
- 34. In 1 hour (60 minutes), distance covered = 6 km In 1 minute, distance covered = \(\frac{6 km}{60 min}\) = \(\frac{6000 m}{60}\) = 100 m In 20 minutes, distance covered = 20 × 100 m = 2000 m = 2 km
- 35. This is an LCM related problem. So, we need to find the LCM of 10, 15, and 20.LCM = 5 × 2 × 1 × 3 × 2 = 60 min They will meet together again after 60 minutes. ie. 7.am + 60 minutes = 8 am.