Page 164 - Maths Skill - 6

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Chapter – 1: Patterns in Mathematics

Boot-up
A. 1. (iii) 2. (i) 3. (i) 4. (i) B. 1. (a) (b) (c)
2. (a) 21, 28 (b) 48, 58 (c) 27, 45 (d) 75, 125

Exercise - 1.1

1. (a) 21, 34, 55 Rule: Add the two previous numbers (b) 36, 41, 39 Rule: Add 5, subtract 2
(c) 101, 99, 94 Rule: Subtract 2, then 5 (d) 324, 972, 2916 Rule: Multiply by 3 to get the next term
2. (a) 1 + 2 + 3 + 4 + 5 = 15 1 + 2 + 3 + 4 + 5 + 6 = 21 1 + 2 + 3 + 4 + 5 + 7 + 7 = 28
(b) 444 ÷ 12 = 37 555 ÷ 15 = 37 666 ÷ 18 = 37
3. (a) 2 (b) 11 (c) 11

4. (a) (b) 48 (c) (d) 24
28 72
12 16 20 28 6 12 4 6
5 7 9 8 12 16 2 3 4 2 2 3
2 3 4 5 3 5 7 9 1 2 1 3
1 2 3 4 5

5. (a) (iv), (b) (iii), (c) (iii),

6. (a) 25; 1 + 3 + 5 + 7 + 9 + 11 = 36 (b) 91, 105, 120 (c) 100, 121, 144 7. 81, 100, 121, 144, 149, 196
8. 42 × 42 = 1764; 44 × 44 = 1936
Assessment Time

A. 1. (ii) 2. (i) 3. (iv) 4. (iii) 5. (ii) B. 1. 20 2. 30 3. 36 4. 26 5. 125
C. 1. True 2. False 3. True 4. True 5. False D. 1. (b) 2. (a) 3. (b) 4. (c)
E. 1. (a) 2. (a)

F. 1. 2. ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ 3. 9
^ ^ ^ ^ ^ ^
^ ^ ^ ^
^ ^ ^ ^
^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^
Chapter - 2: The Other Side of Zero
Boot-up

A. 1. (i) 2. (ii) 3. (iii) 4. (i) 5. (iii) B. 1. 1 2. 10 3. 0 4. 1
C. 1. False 2. False 3. False 4. False 5. False

Exercise - 2.1

1. (i) –25 (ii) 2 (iii) –4 (iv) 8 2. (i) –3, –2, –1, 0 (ii) –3, –2, –1, 0, 1, 2
(iii) –4, –3, –2 (iv) 1, 2, 3, 4 (v) –2, –1, 0, 1, 2 (vi) –1 3. (i) 1 (ii) –2 (iii) 0
(iv) –6 (v) –3 (vi) –10 4. (i) –120 (ii) –55 (iii) –134
5. (i) –38 (ii) 5 (iii) –150 (iv) 210 (v) 0 (vi) 140
6. (i) < (ii) < (iii) > (iv) < (v) < (vi) >