Page 1 CBSE VI | Mathematics Sample Paper 3 â€“ Solution CBSE Board Class VI Mathematics Term I Sample Paper 3 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D One crore can be written as 1,00,00,000. One thousand can be written as 1000. So, 10000 times one thousand would make one crore. 2. Correct answer: A There are 1000 + 1 = 1001 whole numbers upto 1000. i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000 3. Correct answer: C (â€“42) + (â€“35) = â€“42 â€“ 35 = â€“77 4. Correct answer: B Fifth multiple of 18 = 18 × 5 = 90 5. Correct answer: A 1 1 10 33 3 3 3 ? ? ? 6. Correct answer: B The English alphabet Z represents an open curve. 7. Correct Answer: C (â€“2) â€“ (â€“5) Subtracting a negative integer means adding its positive integer. ? (â€“2) â€“ (â€“5) = (â€“2) + 5 = 3 Page 2 CBSE VI | Mathematics Sample Paper 3 â€“ Solution CBSE Board Class VI Mathematics Term I Sample Paper 3 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D One crore can be written as 1,00,00,000. One thousand can be written as 1000. So, 10000 times one thousand would make one crore. 2. Correct answer: A There are 1000 + 1 = 1001 whole numbers upto 1000. i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000 3. Correct answer: C (â€“42) + (â€“35) = â€“42 â€“ 35 = â€“77 4. Correct answer: B Fifth multiple of 18 = 18 × 5 = 90 5. Correct answer: A 1 1 10 33 3 3 3 ? ? ? 6. Correct answer: B The English alphabet Z represents an open curve. 7. Correct Answer: C (â€“2) â€“ (â€“5) Subtracting a negative integer means adding its positive integer. ? (â€“2) â€“ (â€“5) = (â€“2) + 5 = 3 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 8. Correct Answer: C The numbers 3, (â€“3), 2, 0 and (â€“4) can be arranged in the ascending order as (â€“4), (â€“ 3), 0, 2, 3 The numbers lying to the left of the number are smaller than those lying to its right. Also zero is smaller than every positive number and greater than every negative number. 9. Correct Answer: D 12 54 55 ? 26 22 55 26 22 5 48 5 3 9 5 ?? ? ? ? ? 10. Correct Answer: B One and only one line passes through any two given points. 11. Correct Answer: D A right angle measures 90°. 12. Correct Answer: B The smallest whole number is 0. Section B 13. (i) â€“9 > â€“15 (ii) â€“10 < 10 (iii) 0 < 3 (iv) â€“28 < 17 Page 3 CBSE VI | Mathematics Sample Paper 3 â€“ Solution CBSE Board Class VI Mathematics Term I Sample Paper 3 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D One crore can be written as 1,00,00,000. One thousand can be written as 1000. So, 10000 times one thousand would make one crore. 2. Correct answer: A There are 1000 + 1 = 1001 whole numbers upto 1000. i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000 3. Correct answer: C (â€“42) + (â€“35) = â€“42 â€“ 35 = â€“77 4. Correct answer: B Fifth multiple of 18 = 18 × 5 = 90 5. Correct answer: A 1 1 10 33 3 3 3 ? ? ? 6. Correct answer: B The English alphabet Z represents an open curve. 7. Correct Answer: C (â€“2) â€“ (â€“5) Subtracting a negative integer means adding its positive integer. ? (â€“2) â€“ (â€“5) = (â€“2) + 5 = 3 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 8. Correct Answer: C The numbers 3, (â€“3), 2, 0 and (â€“4) can be arranged in the ascending order as (â€“4), (â€“ 3), 0, 2, 3 The numbers lying to the left of the number are smaller than those lying to its right. Also zero is smaller than every positive number and greater than every negative number. 9. Correct Answer: D 12 54 55 ? 26 22 55 26 22 5 48 5 3 9 5 ?? ? ? ? ? 10. Correct Answer: B One and only one line passes through any two given points. 11. Correct Answer: D A right angle measures 90°. 12. Correct Answer: B The smallest whole number is 0. Section B 13. (i) â€“9 > â€“15 (ii) â€“10 < 10 (iii) 0 < 3 (iv) â€“28 < 17 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?. Measure of ?UVW > measure of ?XYZ ? ?UVW is the bigger of the two angles. 15. The number 1 is neither a prime number nor a composite number. 16. Numbers to the left of zero are: â€“9, â€“28, â€“100, â€“4, â€“1, â€“48, â€“95. Numbers to the right of zero are: +5, +81, +1, +72, +65. 17. A triangle has 6 exterior angles in all. 18. Arrange the numbers 78712354 and 78721124 in place-value chart: Cr L L TTh Th H T O 7 8 7 1 2 3 5 4 7 8 7 2 1 1 2 4 Clearly both numbers have 8 digits. At crores place both have the same digit, i.e. 7. At ten lakhs place both have the same digit, i.e. 8. At lakhs place both have the same digit, i.e. 7. But at ten thousands place, first number has 1 and second number has 2. Clearly, 2 > 1. Hence 78721124 > 78712354 Page 4 CBSE VI | Mathematics Sample Paper 3 â€“ Solution CBSE Board Class VI Mathematics Term I Sample Paper 3 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D One crore can be written as 1,00,00,000. One thousand can be written as 1000. So, 10000 times one thousand would make one crore. 2. Correct answer: A There are 1000 + 1 = 1001 whole numbers upto 1000. i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000 3. Correct answer: C (â€“42) + (â€“35) = â€“42 â€“ 35 = â€“77 4. Correct answer: B Fifth multiple of 18 = 18 × 5 = 90 5. Correct answer: A 1 1 10 33 3 3 3 ? ? ? 6. Correct answer: B The English alphabet Z represents an open curve. 7. Correct Answer: C (â€“2) â€“ (â€“5) Subtracting a negative integer means adding its positive integer. ? (â€“2) â€“ (â€“5) = (â€“2) + 5 = 3 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 8. Correct Answer: C The numbers 3, (â€“3), 2, 0 and (â€“4) can be arranged in the ascending order as (â€“4), (â€“ 3), 0, 2, 3 The numbers lying to the left of the number are smaller than those lying to its right. Also zero is smaller than every positive number and greater than every negative number. 9. Correct Answer: D 12 54 55 ? 26 22 55 26 22 5 48 5 3 9 5 ?? ? ? ? ? 10. Correct Answer: B One and only one line passes through any two given points. 11. Correct Answer: D A right angle measures 90°. 12. Correct Answer: B The smallest whole number is 0. Section B 13. (i) â€“9 > â€“15 (ii) â€“10 < 10 (iii) 0 < 3 (iv) â€“28 < 17 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?. Measure of ?UVW > measure of ?XYZ ? ?UVW is the bigger of the two angles. 15. The number 1 is neither a prime number nor a composite number. 16. Numbers to the left of zero are: â€“9, â€“28, â€“100, â€“4, â€“1, â€“48, â€“95. Numbers to the right of zero are: +5, +81, +1, +72, +65. 17. A triangle has 6 exterior angles in all. 18. Arrange the numbers 78712354 and 78721124 in place-value chart: Cr L L TTh Th H T O 7 8 7 1 2 3 5 4 7 8 7 2 1 1 2 4 Clearly both numbers have 8 digits. At crores place both have the same digit, i.e. 7. At ten lakhs place both have the same digit, i.e. 8. At lakhs place both have the same digit, i.e. 7. But at ten thousands place, first number has 1 and second number has 2. Clearly, 2 > 1. Hence 78721124 > 78712354 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 19. ? ? ? ? ? ? ? ? 21 Total ingredients purchased = kg sugar kg rice 53 21 53 L.C.M. of the denominators 5 and 3 is 15 2 3 1 5 Total ingredients purchased= 5 3 3 5 65 15 15 65 15 11 15 ? ?? ?? ?? ?? ?? ? ? ? 20. (a) Going 6 m to the West (b) A withdrawal of Rs. 100 (c) 10 km below sea level (d) Spending Rs. 500 21. A cube and a trapezium prism have the same number of faces, vertices and edges. Both have 6 faces, 8 vertices, and 12 edges. 22. Given number is 1258. Its unit digit is 8, which is divisible by 2. So, 1258 is divisible by 2. Sum of its digits = 1 + 2 + 5 + 8 = 16, which is not divisible by 3. So, 1258 is not divisible by 3.Because 1258 is divisible by 2 but not by 3, it is not divisible by 6. Page 5 CBSE VI | Mathematics Sample Paper 3 â€“ Solution CBSE Board Class VI Mathematics Term I Sample Paper 3 â€“ Solution Time: 2 ½ hours Total Marks: 80 Section A 1. Correct answer: D One crore can be written as 1,00,00,000. One thousand can be written as 1000. So, 10000 times one thousand would make one crore. 2. Correct answer: A There are 1000 + 1 = 1001 whole numbers upto 1000. i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ..., 1000 3. Correct answer: C (â€“42) + (â€“35) = â€“42 â€“ 35 = â€“77 4. Correct answer: B Fifth multiple of 18 = 18 × 5 = 90 5. Correct answer: A 1 1 10 33 3 3 3 ? ? ? 6. Correct answer: B The English alphabet Z represents an open curve. 7. Correct Answer: C (â€“2) â€“ (â€“5) Subtracting a negative integer means adding its positive integer. ? (â€“2) â€“ (â€“5) = (â€“2) + 5 = 3 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 8. Correct Answer: C The numbers 3, (â€“3), 2, 0 and (â€“4) can be arranged in the ascending order as (â€“4), (â€“ 3), 0, 2, 3 The numbers lying to the left of the number are smaller than those lying to its right. Also zero is smaller than every positive number and greater than every negative number. 9. Correct Answer: D 12 54 55 ? 26 22 55 26 22 5 48 5 3 9 5 ?? ? ? ? ? 10. Correct Answer: B One and only one line passes through any two given points. 11. Correct Answer: D A right angle measures 90°. 12. Correct Answer: B The smallest whole number is 0. Section B 13. (i) â€“9 > â€“15 (ii) â€“10 < 10 (iii) 0 < 3 (iv) â€“28 < 17 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 14. Measure of ?UVW = 90 ?, measure of ?XYZ = 49 ?. Measure of ?UVW > measure of ?XYZ ? ?UVW is the bigger of the two angles. 15. The number 1 is neither a prime number nor a composite number. 16. Numbers to the left of zero are: â€“9, â€“28, â€“100, â€“4, â€“1, â€“48, â€“95. Numbers to the right of zero are: +5, +81, +1, +72, +65. 17. A triangle has 6 exterior angles in all. 18. Arrange the numbers 78712354 and 78721124 in place-value chart: Cr L L TTh Th H T O 7 8 7 1 2 3 5 4 7 8 7 2 1 1 2 4 Clearly both numbers have 8 digits. At crores place both have the same digit, i.e. 7. At ten lakhs place both have the same digit, i.e. 8. At lakhs place both have the same digit, i.e. 7. But at ten thousands place, first number has 1 and second number has 2. Clearly, 2 > 1. Hence 78721124 > 78712354 CBSE VI | Mathematics Sample Paper 3 â€“ Solution 19. ? ? ? ? ? ? ? ? 21 Total ingredients purchased = kg sugar kg rice 53 21 53 L.C.M. of the denominators 5 and 3 is 15 2 3 1 5 Total ingredients purchased= 5 3 3 5 65 15 15 65 15 11 15 ? ?? ?? ?? ?? ?? ? ? ? 20. (a) Going 6 m to the West (b) A withdrawal of Rs. 100 (c) 10 km below sea level (d) Spending Rs. 500 21. A cube and a trapezium prism have the same number of faces, vertices and edges. Both have 6 faces, 8 vertices, and 12 edges. 22. Given number is 1258. Its unit digit is 8, which is divisible by 2. So, 1258 is divisible by 2. Sum of its digits = 1 + 2 + 5 + 8 = 16, which is not divisible by 3. So, 1258 is not divisible by 3.Because 1258 is divisible by 2 but not by 3, it is not divisible by 6. CBSE VI | Mathematics Sample Paper 3 â€“ Solution 23. Minuâ€™s growth = th 3 5 of an inch Her brotherâ€™s growth = th 2 5 of an inch Difference in the growth of Minu and her brother 3 2 3 2 1 5 5 5 5 So, Minu grew th 1 5 of an inch more than her brother. 24. (a) 35° - Acute angle because the measure is less than 90°. (b) 185° - Reflex angle because the measure is greater than 180° and less than 360°. (c) 90° - An angle with measure of 90° is a right angle. (d) 92° - An obtuse angle because the measure is greater than 90° and less than 180°. Section C 25. LCM of 12 and 16 = (4 × 3 × 4) = 48 So, we convert each one of 7 12 and 9 16 into an equivalent fraction having 48 as denominator. 7 7 4 28 9 9 3 27 and 12 12 4 48 16 16 3 48 28 27 Clearly, 48 48 79 Hence, 12 16 ?? ? ? ? ? ?? ? ? 26. Each of the 8 vertices of the cube has now been replaced by three vertices of a triangle. So, there are now 24 vertices. The cube had 6 square faces. Now, those faces are still there but have become octagons. Additionally, there are now 8 new triangular faces. So, there is a total of 14 faces.Read More