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\ 06-Jan-2025 Bharat Arora Proof-3 Reader’s Sign _______________________ Date __________

Chapter Assessment Chapter Assessment
A. 1. (d) 2. (d) 3. (a) 4. (a) 5. (a) A. 1. (b) 2. (b) 3. (d) 4. (a) 5. (c)
6. (b) 7. (a) 8. (b) 6. (b) 7. (a) 8. (a)
B. 1. (d) 2. (d) 3. (c) B. 1. (a) 2. (b) 3. (a) 4. (d)
2 2

C. 1. 288 days 2. 8 3. directly 4. 900 5. 0.35 km C. 1. Factorisation 2. (2m – 3) (2m – 3) 3. 30p q
D. 1. True 2. False 3. False 4. True 5. True 4. 3x + 22x + 35 5. x + 3
2
7
E. 1. 240 boxes 2. 8 × 10 kg 3. 1440 sheets 4. 12 days D. 1. True 2. False 3. False 4. True 5. False
5. (a) 9.6 seconds (b) 36 seconds 6. 0.6 seconds E. 1. (a) –5a(a – b + c) (b) 6(3x – 4y)(12x – 16y + 3)
7. (a) G (b) H (c) 3pqrs(21pqr – 3qrs + 5prs – 20pqs)
(c) 16 litres white paint and 96 litres green paint (d) 15 painters (d) (2a + 3b)(x + y)(x + y)
Maths Connect 2. (a) 8 (b) 300 3. (a) 4(x + 3) (b) 3x(7x – 4)
(b) 4. (a) 16 (b) 51 5. 1.2xy 6. 260 7. 5a + 80
2
8. y – 4 9. `(x + y) , `225 10. 26 units; 5
Chapter 13: Factorisation
Unit Test – 4
Let’s Recall
A. 1. (c) 2. (b) 3. (b) 4. (a) 5. (a)
5
3 2 2
1. –x a 2. –28p q r 3. −3 6. (a) 7. (b) 8. (c) 9. (d) 10. (a)
3
2
4. 12a – 32a + 15a + 9 2 1
4
Quick Check B. 1. directly 2. directly 3. 1 4. 4 7 5. x – 1
1. 2 × 2 × 2 × 2 × 3 2. 2 × 2 × 2 × 2 × 2 × 3 C. 1. True 2. True 3. False 4. True 5. False
Quick Check  15 40
7y(2x – 3z) D. 1. 3 2. 36 days 3. 630 words 4.   4  
Practice Time 13A 5. 6(3x – 4y)[12x – 16y – 3] 6. (2x + 3y)
2
2
2
2
2
3
1. (a) 6a (a + 2a – 3b) (b) n(2mn + 3m + 4n ) 7. x – 5x + 25x – 125 8. A = 32, B = 8 , C = 8
2
2
2
2
(c) b(2a + 3bc + 6a bc ) 3 27
2. (a) 9xy(5y – 6x) (b) 19u(2u – 1) (c) –3x(x – y – z) Chapter 14: Introduction to Graphs
2
(d) 11mn(3l – 4m + 5n) (e) (x – y)(2x + 3y – 5) Let’s Recall
2
(f) –5(x – 3y)(x – 3y – 3) (g) –2(a + b)(3x – 4y)
2
3. (a) (2s + 1)(t – 3) (b) (3x + 5)(ay + 5) 1. (a) 10–15 (b) 30 students (c) 26 students
(c) (1 + p)(1 + pq) (d) (x – 1)(y – 1) Quick Check
2 2
(e) (x – 2a)(x + b) (f) (13x y + 4x)(xy + 2) C B D A
Quick Check –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8
1. (10 – 7p) (10 + 7p) 2. 2,000 Practice Time 14A
Practice Time 13B
1. (a) (x + 3)(x + 3) (b) (x – 9)(x – 9) (c) (3p – 2)(3p – 2) 1. (a) 5 (b) –2 (c) 8 (d) 2
(b) 8
(c) 0
(d) 2
2. (a) 4
(d) (7m + 6n)(7m + 6n) (e) (p – 7q)(p – 7q) 3. (a) Ist quadrant (b) IInd quadrant

2
2
2
2

(c) IVth quadrant
(f) (x + y )(x + y ) (g) 3y − 2x   3y − 2x   4. A(3,2); B(1, 1); C(2, 3); D(4, 3); E(4, 0); F(0, 2)
(d) IIIrd quadrant
 

3  
3 

2
(h) t (t – 2)(t – 2) 5. In square KLMN: K(0, 4), L(3, 4), M(3, 7), N(0, 7)
2. (a) (5x – 9y)(5x + 9y) (b) (26 – p)(26 + p) In quadrilateral DEFG: D(4, 7), E(4, 5), F(7, 4), G(7, 6)
 x y  x y In triangle AOB: A(3, 0), O(0, 0), B(0, 3)
(c)  −   +  (d) (5a – b – 4c)(5a – b + 4c)
 8 7  8 7 In trapezium PQRS: P(4, 1), Q(9, 1), R(7, 3), S(5, 3)
(e) (m – 2n + 3)(m + 2n – 3) (f) 4ab 6.
 ab 4 bc  ab 4 bc
2
(g)  −   +  (h) (z + 25)(z + 5)(z – 5)
 6 7   6 7 
3. (a) (x + 4)(x + 5) (b) (m + 6)(m – 17)
(c) (y – 3)(y + 7) (d) (3x – 5)(4x – 3)
(e) (x + 3y)(x + 7y) (f) (x + 3)(7x + 14)
(g) (2m – 3)(2m – 1) (h) (4p + 5)(3p – 2)
Practice Time 13C
1
2
2 3
1. (a) x 2 (b) 5m n (c) 9x yz 2 (d) –17bc
2
2
2
2. (a) 2a + 5a + 4 (b) 3x + x + 2 – 5
x
3. (a) 3 (b) 6x (c) 2b(a + 5)
(d) 3(p + 1)(p + 3)
2
4. (a) (x – 2) (b) 2(3x – 4y) (c) 2y(5y – 7) (d) x + 25
(e) 12x – 4 5. 2x + 3y
2
6. (a) P 1 (b) 2x(2x – 5) = 4x – 10x
(c) Red House (d) Blue House
Brain Sizzlers
2
Length: 3t + 5; Breadth: 3t + 2; Area: 9t + 21t + 10
Mental Maths
1. (d) 2. (a) 3. (e) 4. (b) 5. (c)
Mathematics-8 370