Before you begin the worksheet, you may also watch these videos from The Busy Brains. It covers additional learning concepts and can be useful for strengthening your overall Maths preparation.
इस worksheet को solve करने से पहले दोनों Video ज़रूर देखें! 🎥
दोनों Video देखने से आपके concepts clear हो जाएंगे और Distribuition Properties को समझना और सवाल solve करना आसान हो जाएगा।
👉 पहले वीडियो देखें, concepts समझें, फिर वर्कशीट solve करें! 📚✏️
Video अच्छा लगे तो Like करें और चैनल Subscribe करें ❤️
Video 1 – Understand Distributive Properties with Examples
Video 2 – Understand Identities with Examples
💡 Learn • Practise • Succeed with The Busy Brains
Class 8 Maths Worksheet – We Distribute, Yet Things Multiply
Ganita Prakash | Chapter 6 | Exam Preparation Worksheet
This worksheet covers the Distributive Property, Algebraic Identities, Expansion, Simplification and Fast Multiplication from Chapter 6 “We Distribute, Yet Things Multiply.”
Section A – Distributive Property
- 24 × 7
- 36 × 12
- 48 × 15
- 125 × 32
- 17 × 98
- 25 × 49
- 32 × 101
- 45 × 99
- 7(x + 5)
- 9(a + 4)
- 6(p − 3)
- 12(2x + 5)
📐 Section B – Identity 1A
(a + b)2 = a2 + 2ab + b2
- (x + 5)2
- (a + 7)2
- (2x + 3)2
- (3p + 4)2
- 252
- 1022
- 492
- 1032
📐 Section C – Identity 1B
(a − b)2 = a2 − 2ab + b2
- (x − 4)2
- (a − 6)2
- (2x − 5)2
- (3p − 2)2
- 982
- 972
- 482
- 9992
📐 Section D – Identity 1C
(a + b)(a − b) = a2 − b2
- (x + 5)(x − 5)
- (a + 8)(a − 8)
- (2x + 3)(2x − 3)
- (5p + 4)(5p − 4)
- 98 × 102
- 45 × 55
- 97 × 103
- 996 × 1004
- 512 − 492
- 1022 − 982
📐 Section E – Product of Two Binomials
(a + m)(b + n) = ab + mb + an + mn
- (x + 2)(y + 3)
- (a + 4)(b + 5)
- (p + 3)(q − 2)
- (2x + 3)(x + 5)
- (x + 7)(x + 2)
- (x − 3)(x + 5)
- (2a + 1)(3a + 4)
- (3p − 2)(2p + 5)
⚡ Section F – Fast Multiplication Using the Distributive Property
- 3874 × 11
- 5678 × 11
- 2456 × 101
- 832 × 1001
- 89 × 101
- 949 × 101
- 265831 × 1001
- 1111 × 1001
- 9734 × 99
- 23478 × 999
- 567 × 999
- 428 × 99
Section G – Mixed Exam Practice
- (x + 7)2
- (x − 9)2
- (x + 5)(x − 5)
- (a + m)(b + n)
- (a + b)2 = a2 + ______ + b2
- (a − b)2 = a2 − ______ + b2
- (a + b)(a − b) = ______ − b2
- a(b + c) = ______ + ______
- (x + 6)2
- (2x − 7)2
- (3a + 2)(3a − 2)
- (x + 4)(x + 9)
- 992
- 1012
- 48 × 52
- 997 × 1003
- x2 + 1/x2
- x2 + 1/x2
- (x + 10)2 − x2
- (x + 6)(x − 6)
- (x + 3)2 − 6x
- (x − 5)2 + 10x
If x + 1/x = 4, find the value of
x2 + 1/x2.
🎯 Exam Challenge
- 999 × 1001
- 1002 × 998
- 49 × 51
- 9998 × 10002
(x + 5)2 − (x − 5)2
1032 − 972
📚 Topics Covered
- Distributive Property
- Identity 1A – (a + b)2
- Identity 1B – (a − b)2
- Identity 1C – (a + b)(a − b)
- (a + m)(b + n) Identity
- Expansion and Simplification
- Fast Multiplication using ×11, ×101 and ×1001
- Fast Multiplication using ×99 and ×999
- Identity-based Exam Questions
📺 Subscribe to The Busy Brains
Subscribe to our YouTube channel for more Maths worksheets, explanations and exam preparation videos.
💬 Need the Answer Sheet or PDF of this Question Paper?
Comment below and let us know!
© The Busy Brains | Class 8 Maths Exam Preparation