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1 Key book 6 Keybooks are freely available at our website Progress Publishers Nagar, Delhi Fax : ; progress.india@vsnl.com
2 Chapter 1 Exercise (a) 4,567 (b) 878 (c) 5,466 (d) 7, (a) 976 (b) 3,657 (c) 2,364 (d) 5, (a) 8,67,690,4567 (b) 97,376,3674,3876 (c) 12,90,862, (a) 478, 98,39,2 (b) 5347,342,18,3 (c) 1097,1057,246,91 Exercise (a) 3714, 4137 (b) 6439, 4963 (c) 8,150, 8,105 (d) 1,760, 7, (a) 8753 (b) 8542 (c) 9770 (d) (a) 1029 (b) 1256 (c) 1469 (d) Greater number Smaller number (a) (b) (c) (d) Exercise (a) 37,80,96,352 Thirty seven crore, eighty lakh, ninty-six thousand, three hundred and fifty-two (b) 8,35,31,028 Eight crore, thirty-five lakh, thirty one thousand and twenty-eight (c) 50,25,20,892 Fifty crore, twenty five lakh, twenty thousand, eight hundred and ninety-two (d) 26,32,09,875 Twenty six crore, thirty two lakh, nine thousand eight hundred and seventy five 2. (a) 67,55,34,211 = 675,534,211 Six hundred seventy five million, five hundred thirty four thousand two hundred and eleven (b) 78,76,32,190 = 787,632,190 Seven hundred eighty seven million, six hundred thirty two thousand, one hundred ninety (c) 9,49,85,324 = 94,985,324 Ninety four million, nine hundred eighty five thousand three hundred and twenty-four (d) 17,03,82,647 = 170,382,647 One hundred seventy million, three hundred eighty two thousand and six hundred and forty-seven 3. 9,00,00, (a) 6,93,00,000 (b) 69,99,300 (c) 63,00,000 (d) 69,30,00, Lakh lakhs 6. Thousand thousands Exercise Rs 15, ,70, ,60, ,54, , km 7. Rs 49,30, ,27, ,80,80, Rs 92,04, m kg 220 g jugs 15. 5k g 374 g 2 Understanding Mathematics - 6
3 Exercise (a) 770 (b) 6,940 (c) 60 (d) 2, (a) 56,800 (b) 9,000 (c) 4,400 (d) (a) 6,000 (b) 12,000 (c) 91,000 (d) 5, (a) 3,200 (b) 10,000 (c) 6,500 (d) 1, (a) 14,000 (b) 80,000 (c) 100 (d) 200 Exercise (a) LXV11 (b) DCCCLIX (c) XX (d) CXLIII (e) XXXIV (f) CDLVI (g) LXXV (h) CD (i) XCVIII (j) LXXXVII 2. (a) 76 (b) 26 (c) 10 (d) (a) > (b) < (c) > (d) < (e) = (f) < MCQ , , , lakh , , MD ( ) mg Chapter 2 Exercise (a) 6 (b) 12 (c) 9 (d) (a) 7 (b) 3 (c) 3 (d) 9 3. (a) 12 (b) 16 (c) 15 (d) (a) 40 (b) 16 (c) (a) F (b) T (c) T (d) F (e) F (f) F Exercise (a) 2008 (b) (a) T (b) F (c) T (d) F (e) F Exercise (a) 1 (b) 80 (c) 27 (d) 5 (e) 120 (f) 0 2. (a) T (b) T (c) F (d) T (e) F (f) T 3. (a) 1,79,400 (b) 17,700 (c) 37,500 (d) 27,90, Rs 6,60, Rs 55, Rs 1,650 Exercise (a) (b) (c) 2. (a) (b) (c) Understanding Mathematics - 6 3
4 3. (a) (b) (c) MCQ II Commutative Property 5. a whole number 6. not defined a + 0 = 0 + a 10. (a + b) + c = a + (b + c) Chapter 3 Exercise (a) 43 (b) 3 (c) 648 (d) (a) 120 (b) 507 (c) 6 (d) 588 Exercise (a) 1, 2, 3, 6, 9, 18 (b) 1, 3, 7, 21 (c) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 (d) 1, 3, 7, 9, 21, 63 (e) 1, 2, 4, 5, 10, 20, 25, 50, 100 (f) 1, 2, 4, 31, 62, (a) 5, 10, 15, 20, 25 (b) 9, 18, 27, 36, 45 (c) 11, 22, 33, 44, 55 (d) 15, 30, 45, 60, 75 (e) 60, 120, 180, 240, 300 (f) 200, 400, 600, 800, (a) 640 (b) 45,60,75 4. (a) Yes (b) No 5. (a) 48, 96, 144, 192, 240 (b) 2, 4, 8, 10, 20 Exercise (a) 23, 29, 31, 37, 41, 43, 47, 53, 59 (b) 83, 89, (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43) 3. 2, 4, 6, 8, 10, 12, 14, 16, (a) (7, 10) (b) (16, 25) (c) No 5. (a) True (b) False (c) True (d) True (e) False (f) False (g) True and 47 Exercise (a) Yes (b) Yes (c) No (d) Yes 2. (a) No (b) Yes (c) Yes (d) No 3. (a) No (b) No (c) Yes (d) No 4. (a) No (b) Yes (c) No (d) Yes 5. (a) No (b) No (c) No (d) No 6. (a) No (b) Yes (c) Yes (d) No 7. (a) By 5 (b) By none (c) By 5 and 10 (d) By 5 8. (a) 2 (b) 2 (c) 7 (d) 0 9. (a) F (b) T (c) T (d) F , 60, 200, 40 Exercise (a) (b) (c) (d) (e) (f) (g) 5 73 (h) (i) (j) Understanding Mathematics - 6
5 Exercise (a) 18 (b) 24 (c) 15 (d) 35 (e) 18 (f) 9 2. (a) 2 (b) 4 (c) 1 (d) 18 (e) 2 (f) 1 Exercise (a) 48 (b) 72 (c) 308 (d) 420 (e) 360 (f) 3528 (g) 7040 (h) (a) 360 (b) 540 (c) 3780 (d) (e) (f) Exercise cm l cm Exercise min. 24 sec past 12, 10 times 4. 12m min. 7. MCQ III their product , Unit 4 Exercise (a) AB, BC, CD, DE, EF (b) PQ, QR, RS, SP, PT, QT, RT, ST, PR, QS (c) AB, BC, CD, DA, AC 2. (a) True (b) False (c) True (d) False (e) False (f) True 3. (a) A, B, M, P, Q (b) AB, MP, MQ (c) MA, MB, MP, MQ (d) AM, BM, MP, MQ Exercise (a) open (b) open (c) closed (d) closed (e) closed (f) closed (g) open (h) open 3. (a) Points in side the figure E, F, K Points on the figure A, B, C, D, M Points out side the figure Q (b) Points inside the figure C, P, Q Points on the figure R, N, F, S, T Points outside the figure M 4. (a) Yes (b) 6 (c) Yes (d) (A, B), (C, D), (E, F), (F, A) (e) Yes (f) AD, FC Exercise ÐA, ÐB, ÐC, ÐD or ÐDAB, ÐABC, ÐBCD, ÐCDA Understanding Mathematics - 6 5
6 2. (a) ÐXOY, ÐYOX, ÐO or Ðp (b) ÐBAC, ÐCAB, ÐA or Ðn (c) ÐPQR, ÐRQP, ÐQ or Ðr 3. (a) C, P, A (b) C, E, X (c) P, O, E, X (d) C 5. (a) C (b) AB (c) ÐBAC, ÐABC (d) B (e) ÐACB, ÐABF Exercise (a) DABC, DBAC or DACB (b) AB (c) AC (d) ÐA (e) C 3. (a) DABD, DACD, DCAB (b) ÐACB, ÐCAB, ÐCAD, ÐBAD, ÐADC, ÐADB (c) AC, AB, AD, CD, BD, BC (d) DABD, DABC 4. (a) F, G (b) B (c) P, Q, R, D, A, C Exercise (a) Yes (b) No (c) Yes (d) Yes 3. (a) (AD, BC), (AB, CD) (b) (AB, BC), (BC, CD), (CD, DA), (DA, AB) (c) (ÐA, ÐC), (ÐB, ÐD) (d) AC and BD 4. (a) PQRS (b) X, Y (c) A, D (d) P, Q, R, S, C, B Exercise (a) OB, OA, OC (b) BC,AP,PQ,AQ (c) BC,PQ,AP (d) AB 3. (a) Diameter (b) Sector (c) Arc (d) Chord 4. (a) E, O, F (b) L, M, N (c) A, B, C, D, X, Y 5. (a) F (b) T (c) T (d) F (e) F (f) T MCQ IV 1. one 2. infinite 3. three 4. one end point 5. many sides 6. three vertices 7. all sides are equal cm 9. a chord 10. two equal arcs Chapter 5 Exercise Yes 3. (a) Yes (b) Yes (c) No (d) Yes 4. (a) Yes (b) No (c) (AB, PQ), (AB, CD), (XY, PQ), (EF, CD) (d) AB and EF (e) No Exercise (a) Obtuse (b) Right (c) Complete (d) Acute (e) Straight (f) Reflex 4. (a) 135º (b) 90º (c) 50º (d) ÐABD = 70º, ÐCBD = 70º, ÐABC = 140º 5. (a) 90º (b) 180º (c) 360º or 0º 6. (a) F (b) T (c) F (d) T (e) F 6 Understanding Mathematics - 6
7 Exercise (a) No (b) Yes (c) Yes 2. (a) 5, Pentagon (b) 5, Pentagon (c) 7, Heptagon (d) 4, Quadrilateral (e) 7, Heptagon (f) 8, Octagon (g) 3, Triangle (h) 5, Pentagon Triangle 4 - Quadrilateral 5 - Pentagon 6 - Hexagon 8 - Octagon Exercise (a) Scalene (b) Equilateral (c) Isosceles 2. (a) Acute Triangle (b) Obtuse Triangle (c) Right Triangle 3. 50º, 90º, and 40º 4. (a) 100º (b) 80º (c) 40º 5. 60º Exercise (a) Rhombus (b) Square (c) Trapezium (d) Rectangle 2. (a) all sides are equal and all angles are right angles. (b) They both have 4 sides each. (c) All angles are right angles. (d) All sides are equal as well as all angles are equal to 90º. 3. (a) F (b) T (c) F (d) T Exercise (a) Sphere (b) Cylinder (c) Cone (d) Cuboid (e) Sphere (f) Cube 5. (a) solid (b) plane (c) solid (d) solid (e) plane (f) solid (g) solid (h) plane (i) solid (j) solid (k) plane (l) plane 6. Rectangular faces, square base MCQ V º 2. 60º º faces 6. L = B = H 7. Kaleidoscope 8. Intersection of two faces 9. Cube Chapter 6 Exercise The negative numbers (those less than zero) together with whole numbers are called integers. 2. (a) False (b) False (c) True 3. (a) Fall in temperature (b) Deposit of money in to bank (c) Loss of Rs 70 (d) losing a weight of 6kg (e) 56 (f) (a) 30ºC (b) +10 km (c) +Rs 5020 (d) 15km (e) 34 Understanding Mathematics - 6 7
8 6. (a) 6, 5, 4, 3 (b) 1, 2, 3, 4 (c) 9, 8, 7 (d) 2, 1, 0, 1, 2 7. (a) 8 (b) 9 (c) 4 (d) 0 (e) 2 (f) (a) > (b) < (c) > (d) > (e) > (f) < 9. (a) 7, 3, 0, 4, 10, 12 (b) 102, 79, 10, 1, 22, 48 (c) 165, 7, 7, 11, 15, 666 (d) 10, 5, 1, 0, 6, (a) 4, 2, 0, 2, 6, 10 (b) 110, 47, 13, 1, 8, 24 (c) 470, 120, 20, 63, 65, 85 (d) 66, 53, 21, 19, 30, (a) 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5 (b) 0, 1, 2, 3, 4, 5 (c) 1, 2, 3, 4, (a) 9 (b) 15 (c) 96 (d) 0 (e) 57 (f) 123 (g) 14 (h) 10 Exercise (a) 4 (b) 11 (c) 9 (d) 1 2. (a) 2 (b) 4 (c) 4 (d) 9 (e) 2 (f) 5 (g) 7 (h) 6 3. (a) -5 (b) 50 (c) 0 (d) (a) 73 (b) 267 (c) 91 (d) 1125 (e) 430 (f) 0 5. (a) 39 (b) 0 (c) 18 (d) 14 (e) m or 28m towards south 7. 5 Exercise (a) 6 (b) 20 (c) 3 (d) 20 (e) 11 (f) (a) 12 (b) 7 (c) 2 (d) 7 (e) 22 (f) (a) 4 (b) 13 (c) 9 (d) 1 (e) 5 (f) (a) 7 (b) 92 (c) 0 6. no years 9. Jammu m MCQ VI 1. 1, 0, 1, , < 7. True 8. Positive 9. Neither positive nor negative 10. Either positive or negative Chapter 7 Exercise (a) Numerator = 3, Denominator = 8 (b) Numerator = 5, Denominator = 11 (c) Numerator = 4, Denominator = 9 (d) Numerator = 7, Denominator = 15 (e) Numerator = 23, Denominator = 61 (f) Numerator = 0, Denominator = 10 (g) Numerator = 7, Denominator = 31 (h) Numerator = 13, Denominator = 21 8 Understanding Mathematics - 6
9 2. (a) 8 18 (e) 3 9 (b) 5 8 (c) 4 12 (d) 8 15 (f) 3 6 (g) 4 10 (h) (a) (b) (c) (d) (e) (f) A 2 10, B 5 10, C 7 10, D Toffees , 5 18 Exercise (a) Proper (b) Improper (c) Mixed (d) Improper (e) Proper (f) Mixed (g) Improper (h) Proper (i) Improper (j) Improper 2. (a) (b) (a) 15 30, 20 30, (c) (d) (b) 7 24, 10 24, 9 24 (e) Exercise (a) (i) and (iii) (b) (i) and (iii) 2. (a) (i) 1 2 (ii) 4 6 (iii) 3 9 (iv) 4 8 (i) and (iv) are equivalent fractions. (b) (i) 6 9 (ii) 2 6 (iii) 8 12 (iv) 4 8 (i) and (iii) are equivalent fractions. 3. (a) 5 7 = 15 21, 10 14, (c) 2 9 = 4 18, 6 27, 8 36 (e) 9 25 = 18 50, 27 75, (b) 8 15 = 16 30, 24 45, (d) = 22 26, 33 39, (a) 100 (b) 15 (c) 18 (d) 1 (e) 3 (f) (a) (b) (a), (c), (f), (h) and (i) (c) (d) (a) 1 3 (b) 1 15 (c) 1 2 (f) (g) 2 3 (h) Sashi = or ; Manoj = 60 or ; Rasheed = 80 (d) 7 10 (i) 9 2 or (e) 1 2 (j) 5 9 Understanding Mathematics - 6 9
10 Exercise (a) < (b) > (c) > (d) > (e) < (f) > 2. (a) 7 15 < 8 6 (e) > (a) 4 11, 17 35, 3 5 (c) 1 2, 3 5, 2 3 (b) 4 25 < 6 13 (f) 5 9 = (c) 2 7 < 3 5 (b) 15 75, 12 16, (d) 6 30, 15 27, 9 15 (d) 9 20 < (a) 2 8, 4 8, 5 8, 6 8 ; Ascending order 2 8 < 4 8 < 5 8 < 6 8 Descending order 6 8 > 5 8 > 4 8 > 2 8 (b) 3 9, 5 9, 5 9, Sunita Ascending order Descending order 3 9 < 5 9 = 5 9 < > 5 9 = 5 9 > 3 9 Exercise (a) (a) (a) (a) 1 10 (b) 8 21 (b) (b) (b) 5 4 (c) (c) (c) 1 2 (d) 7 10 (d) (d) MCQ VII , 7 15, , 81 30, > A ate more than B Chapter 8 Exercise (a) 0.7 (b) (c) 0.80 (d) (e) 40.7 (f) (a) < (b) > (c) < (d) < (e) < (f) < 10 Understanding Mathematics - 6
11 5. (a) 0.08 (b) (c) 31.5 (d) 2.90 (e) (f) 0.48 (g) 3.4 (h) (a) 13 (b) 3767 (c) (e) (f) (g) (d) (h) Exercise (a) (b) (c) (d) (e) (f) (a) 9.15 (b) (c) (d) (e) (f) Rs m 5. 1 m 69 cm 6. Yes km 78 m 8. 5 m 21 cm kg 10 gm 10. Rs MCQ VIII > , 4.265, kg Chapter 9 Exercise (a) 8 6 (b) ( 11) 4 (c) (d) (a) 343 (b) (c) 216 (d) 1 (e) 256 (f) (a) 2 6 (b) (c) (d) Exercise (a) (-12) 2 = 144, (-12) 3 = (b) (17) 2 = 289, (17) 3 = 4913 (c) (d) 2. (a) 9 (b) 100 (c) 5 6 (d) (a) 21 (b) 4 3 Exercise Height (in cm) Tally Marks Frequency Total 20 (c) 10 (d) 5 6 Chapter Water Bill (in Rs) Tally Marks Frequency Total 25 Understanding Mathematics
12 3. 4. Number of Goods Tally Marks Frequency Total 30 (b) 6 (c) 2 (d) 3 Daily wages (in Rs) Tally Marks Frequency Total 32 (b) Rs 80 (c) Rs 35 (d) Marks Tally Marks Frequency Total 35 (a) 30 (b) 14 (c) 2 (d) 8 (e) Understanding Mathematics - 6
13 Exercise Class Contribution VI VII VIII IX X Animal Elephants Tigers Lions Bears Year Flower Rose Dahlia Marigold represents Rs 50. Number of Animals represents 5 animals. Number of Students represents 100 students. Number of Flowers 5. Hostel A B C D E F represents 50 flowers. Consumption of Wheat (in kg) represents 5 kg. Understanding Mathematics
14 6. (a) May (b) April (c) 55 Exercise (a) It represents the number of vehicles sold by a dealer on different days in a particular week. (b) Tuesday, 400 (c) 250 (d) Wednesday and Thursday, Friday and Sunday. (e) (a) 25 (b) It tell us the number of families having a specific numbers of members. (c) 50 (d) Birth Rate/ China Pakistan Bangladesh Nepal India Country 4. Marks Obtained Hindi English Maths Science S.St Subject 14 Understanding Mathematics - 6
15 Chapter 11 Exercise (a) 56 cm (b) 36 cm (c) 455 m (d) 52 cm (e) 46 cm (f) 56 cm (g) 66 cm (h) 16 cm Exercise (a) 96 cm (b) 70 cm 2. (a) 33 cm (b) 25 cm (c) 19 cm 3. (a) 35 cm (b) 22 cm (c) 40 cm m 5. Rs 7424 Exercise (a) 56 cm (b) 36 cm (c) 84 cm (d) 66 cm 2. (a) 51 cm (b) 81 cm (c) 300 cm (d) 135 cm 3. (a) 300 cm (b) 186 cm (c) 267 cm (d) 396 cm 4. 6 m 40 cm cm 6. Rs (a) 10.5 cm (b) 14 cm (c) 8.4 cm Exercise (a) 7 sq. units (b) 15 sq. units (c) 14 sq. units (d) 6 sq. units (e) 4.5 sq. units (f) 11 sq. units (g) 18 sq. units (h) 15 sq. units (i) 10 sq. units Exercise m 4. 6 cm tiles m 2 7. Rs 2,50,000 Exercise (a) 5.52 sq. m b) 400 sq. cm (c) 12.6 sq. m 2. (a) 36 sq. mm (b) sq. cm (c) 256 sq. cm 3. 4 sq. m m sq. cm cm sq. m cm 9. 20, Square by 64 sq. cm 11. Rs (a) 20 sq. cm (b) 11 sq. cm (c) 16 sq. cm (d) 28 sq. cm Understanding Mathematics
16 Mcq IX m cm cm cm 5. 5 cm sq. cm 7. Rs n cm cm sq. m Chapter 12 Exercise (a) (i) Multiply the number of term by 5 and subtract it from 39. (ii) n th term = 39 5n (iii) 100 th term = 461 (b) (i) Multiply the number of term by 4 and add 1 to it. (ii) n th term = 4n + 1 (iii) 100 th term = 401 (c) (i) Multiply the number of term by 5 and add 1 to it. (ii) n th term = 5n + 1 (iii) 100 th term = , 0, 21, 700, 7n 3. (a) 28, 31 (b) 16, 8 4. Number of matchsticks = 6n, where n is the number of hexagons , 4 3, 3, 10, 3 8 Exercise (a) 8x 3 4 2, 9x 2 y 2, 5y (b) 1, 2a, 3b, 4d (c) 5x 2, 2xy, y 2 (d) 3x 3, 2x, 5y, 9 2. (a) Binomial (b) Quadrinomial (c) Trinomial (d) Binomial (e) Quadrinomial (f) Monomial (g) Monomial 3. (a) d = s t (b) SI = P R T (c) A = l b (d) A = 1 2 b a 4. (a) 6p + 5 (b) 4n 7 (c) 3 m 5. (a) 5 x m x m x m x m (d) 1 (a + b) 2 (e) n 12 (b) 3 x p x p x p x p x p x p x q x q (c) 2 x a x a x b x b x b x c 6. (a) x 7 (b) 1331x 3 y 3 (c) 5a 6 b 6 (d) 12p 5 r 2 (e) 7776 x 5 y 5 z 5 7. (b) and (c) 8. (a) y 2 (b) 10r (c) 3y 2 (d) 9x 5 z 9. 12n a 11. 4y 3x 12. 7p + 8q 3r 13. Let speed of bus = x km/hr Speed of car = (x + 10) km/hr 14. (a) 7x 10 = 32 (b) x 4 = 7 (c) x + y = 8 (d) x (2 + 3) = 9 Exercise (a) 2 (b) 4 (c) 5 d) 3 (e) 2 (f) 2 2. (a) 6 (b) 27 (c) 5 (d) 2 (e) 2 (f) (a) 8 (b) 1 4. (a) 60 (b) Understanding Mathematics - 6
17 Exercise m, 21 m 7. Age of Sita = 17 yrs, age of Ramesh = 11 yrs Mcq X 1. x x 3 = x x + 6 = , p Worksheet 1. age of Sunil = 21 yrs, age of Gurcharan Singh = 15 yrs number of apples = 44, number of oranges = number of hens = 16, number of cows = Fatima Rs 1380; Nancy Rs Chapter 13 Exercise (a) 100 : 3 (b) 1 : 50 (c) 1 : 2 (d) 3 : 1 (e) 2 : 25 (f) 1 : 3 2. (a) 3 : 1 (b) 8 : 9 (c) 11 : 1311 (d) 7 : 10 (e) 50 : 1 (f) 3 : 4 3. (a) 7 : 3 (b) 4 : 7 (c) 1 : 2 4. (a) 3 : 5 (b) 2 : 3 (c) 1 : 2 5. (a) 5 : 2 (b) 5 : 3 6. (a) 1 : 4 (b) 5 : 12 (c) 1 : 3 (d) 3 : 5 (e) 1 : 5 (f) 5 : 2 (g) 2 : 7 7. Meesha - Rs 120, Kavita - Rs Rahim - 35 toffees, Karim - 28 toffees 9. (a) 2 : 3 (b) 1 : 3 (c) 3 : 2 Exercise (a) T (b) F (c) F (d) T 2. (a) Yes (b) No (c) Yes (d) No (e) No (f) No 3. (a) 4 (b) 30 (c) 63 (d) kg Exercise m 4. (a) 8 kg of potatoes for Rs 32 (b) 30 trucks carrying 4500 kg of weight km 6. Rs 1000 (c) 9 candles for Rs Understanding Mathematics
18 Exercise (a) 25% (b) % (c) 68% (d) % 2. (a) 235.6% (b) 67% (c) 40% (d) 5.73% 3. (a) 40% (b) % (c) 87.5% (d) 20% 4. (a) (b) 2500 (c) (d) (a) (b) (c) (d) (a) Rs 60 (b) 90g (c) 200m (d) 75l 7. (a) 50% (b) 40% (c) 60% 8. Savings Rs 2400; expenses Rs Rs 490 Mcq XI 1. 3 : , : : km 8. Rs Chapter 14 Exercise (a) Profit Rs 50 (b) Loss Rs 150 (c) Proft Rs 50 (d) Profit Rs (a) Profit 50 % (b) Loss % (c) Proft 4 % (d) Loss % 3. Profit Rs Proft Rs 60, Proft per cent 25% 5. Proft Rs 60, Proft per cent % 6. C.P. Rs 700; loss percent % Chapter 15 Exercise (a) Yes (b) Yes (c) No (d) No (e) Yes 2. (a) (b) (c) (d) Exercise B - horizontal, E - horizontal, H - both, J - none, K - none, M - vertical, O - both, P - none, T - vertical, W - vertical 3. (a) (b) (c) none (d) 4. (a) (b) (c) 18 Understanding Mathematics - 6
19 (d) (e) (f) Mcq XII 1. three axes of symmetry 2. two axes of symmetry 3. 1 axes of symmetry 4. 1 axes of symmetry scalene triangle 9. reflection 10. two identical parts Chapter 16 Exercise line segment 2. (a) 4 line segments - AB, BC, CD, DA (b) 5 line segments - AB, BC, CD, DE, EA (c) 3 line segments - XY, YZ, ZX (d) 4 line segments - PQ, QR, RS, SP Sample Paper Section A > > > > (a) 3 + ( 5) = 2 (b) 7 ( 3) = 4 5. (a) (b) , 79.5, , (a) (b) (c) 9. Rs 270, Rs , 15, 5, 0, 6, 12, 23 Section B 1. (a) 800 (b) (c) (d) (a) x = 2 (b) x = l 4. (a) AB, BC, CD, DE, EA (b) AC, AD, BD, BE, CE (c) AB, BC (d) ÐBCD, ÐCDE 5. (a) (b) Understanding Mathematics
20 m, km 7. (a) x = 60 (b) No , 3 4, 5 6, 9 8, (a) 7 (b) (a) (b) Section c 2. (a) 23 apples for Rs 92 (b) 2 dozen notebooks for Rs Number of Rs 100 note = 30 Number of Rs 50 notes = tiles, Rs Course Science Commerce Humanities Vocational Studies Mass Communication Number of Students represents 50 students (a) O (b) BOE, AOC (c) AB, CD (d) AXC, CYB (e) AD, BE, AC (f) OB, OE, OD (g) AC, CY 7. Length of wire = 48 cm Length of rectangle = 19 cm Marks Tally Marks Frequency Total 20 Mental Ability Test Rs (not a prime number) km m m ( not divisible by 3) (series of prime number) º 19. Both Understanding Mathematics - 6 No. of Students Marks
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