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\ 29-Jan-2025 Surender Prajapati Proof-6 Reader’s Sign _______________________ Date __________

4
9. (a) 17 (b) 5 (d) 1 3. (a) 1 (b) 7 2 (c) a × 5 (d) 6a
2 4
12 8 2 2 3 5 2
3 2
Maths Connect (e) 2 a b (f) 3 3 (g) 7 × 3 × 11 5 (h) –6b
2 −4
(i) ab
7 27
6
2
3
10
10
5
2
Unit Test – 1 4. (–3) or 3 5. (–12) or 12 4 6. 2 × 5 >2 > 2 > 3 > 3 > 2 3
4
3
Practice Time 4C
A. 1. (d) 2. (a) 3. (d) 4. (d) 5. (b)
6. (c) 7. (c) 8. (d) 9. (a) 10. (d) 1. (a) 86045 8 (b) 405302 10 (c) 30705 11 (d) 900230
2.
B. 1. 303 2. 984800 3. –1 4. 5 5. –8 (a) 1.09852 × 10 (b) 1.45395 × 10 (c) 1.25403 × 10
4
14
(d) 2.83124 × 10 (e) 5.3154547 × 10
8 3. (a) 3.844 × 10 (b) 8.68× 10 25 (c) 7.348 × 10 (d) 3 × 10 8
8
22
C. 1. F 2. F 3. F 4. T 5. F (e) 1.4 × 10 9
D. 2. 19 tickets 4. (a) 1,390,000 (b) 12,740,000 (c) 300,000,000 (d) 150,000,000

3. 25 questions Chapter Assessment
4. 100 kg, 650 kg
−171 A. 1. (b) 2. (c) 3. (c) 4. (b) 5. (c) 6. (d)
5. 6. (a) 241900 (b) 12000 7. (a) 8. (d)
7 B. 1. (a) 2. (a) 3. (a)
7. x < z < y 8. 19°C (−5 ) 4
C. 1. (a) 1 (b) 3 (c) (d) 1
Chapter 4: Exponents and Powers 4 4
2. (a) 1 (b) 21 × 11 2 (c) 3 × 2 (d) 7 × 2 4
2
5
Think and Answer (e) 2 a b (f) 7 × 2 2
3 2
8
2 is greater. 3 6
Think and Answer 3. 2 6 4. 3 5. 16
15625 6. (a) 10 11 (b) 1.2 × 10 10 (c) 3 × 10 20 (d) 6.023 × 10 22
Practice Time 4A (e) 1.353 × 10 9 6 (f) 1.210726932 × 10 9 n
2
2
3
1. (a) 5 4 (b) 11 5 (c) (–7) 5 (d) 2 × 3 2 7. 2 8. 3 or 9 or 27 9. `25 – 1
3
(e) (–5) × 7 × (–3) 3 (f) (–1) × 3 2 (g) (–10) 6 10. 1 11. 9.46 × 10 ; 264,880,000,000,000,000 km; 2.6488 × 10 17
2
2
12
2. (a) 128 (b) 15625 (c) 2401 (d) 625 4 5 8
(e) –243 12. Less than 13. 2.12772 × 10 km
3. (a) 3 4 (b) 2 8 (c) 11 3 (d) 4 5 14. (a) 31 (b) 29th day (c) 2 , yes
29
4. (a) 2 8 (b) 2 × 3 3 (c) 7 4 (d) 2 × 5 2 Mental Maths
4
7
(e) 5 6 6

3
5. (a) (–2) 6 (b) (–3) 2 (c) 2 50 1. (–6) 3 2.   3. No 4. No. 5. No.

6. (a) 3000 (b) 144 (c) 1715 (d) 0 Maths Connect 2 
(e) 864 (f) 216 (g) –675 (h) 160000 3 32
Quick Check Brain Sizzlers
1. (1 ) 1.44 × 10 11
51 3
2. 4
Quick Check Chapter 5: Introduction to Algebra
Let’s Recall
Expression Expression written Simplified Expression Quotient
using repeated as a 1. (a) 950, 1150, 1350 (b) 48, 96, 192 (c) 36, 49, 64
2.
Multiplication Power 1, 2, 3, 4, 5,...(counting number pattern)
⋅⋅⋅
 3 4 3 3 3 3 3333 3 4
⋅⋅⋅
  2 2 2 2 2222 2 4
⋅⋅⋅

2
− 
x
−   x
x
 −  x 3  x −   x − ( )⋅− ( )⋅− ( ) x − ( ) x 3
    ⋅   ⋅    3
⋅⋅
 3   3   3   3 333 3 3. Number of Eraser 1 2 3 4 5
Cost ( in `) 3 6 9 12 15
x
x
x
− 
x
−   x
 −  x 5  x ⋅ −   x − ( )⋅− ( )⋅− ( )⋅− ( )⋅− ( ) x (−x ) 5
⋅
  y     y       yyyy y 5 Practice Time 5A
  y
  y
⋅⋅⋅⋅ y
 x −  2. (a) Number of figure
−   x
⋅
⋅   y     formed 1 2 3 4 25 n
  y
Number of
Practice Time 4B matchsticks 5 8 11 14 77 3n+2
1. (a) 3 14 (b) (–100) (c) 7 11 (d) (xy) 4 (e) (10) 11 used
5
2 2 8 (b) Number of
(f) 12 3 (g) 1 (h) (i)
3 2 3 8 figure 1 2 3 4 25 50 n
2. (a) 3 2 (b) 2 6 (c) a 10 (d) 5 3 formed
6 2
2 4
3 2 Number of
(e) 3 2 (f) 4 3 (g) a 2 (h) 2 matchsticks 8 15 22 29 176 351 7n+1
3 3
3 4
(i) 16 used
Mathematics-7 358