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Difference of two squares

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.SSE.A.2 · England: GCSE Foundation Algebra, GCSE Higher Algebra

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Date

Score/ 16

1
Question 1
Factorise: 4x² − 64
- A. (2x + 8)²
- B. (2x + 8)(2x − 8)
- C. 2(x + 8)(x − 8)
- D. (2x − 8)²
Question 2
Use the difference of two squares to work out 71² − 65² without a calculator.
Answer
3
Question 3
Factorise: x² − 100
- A. (x + 10)(x − 10)
- B. (x + 10)²
- C. (x + 100)(x − 1)
- D. (x − 10)²
Question 4
Use the difference of two squares to work out 87² − 73² without a calculator.
Answer
5
Question 5
Factorise: 16x² − 81
- A. 4(x + 9)(x − 9)
- B. (4x + 9)²
- C. (4x + 9)(4x − 9)
- D. (4x − 9)²
Question 6
Use the difference of two squares to work out 59² − 43² without a calculator.
Answer
7
Question 7
Factorise: x² − 49
- A. (x − 7)²
- B. (x + 7)(x − 7)
- C. (x + 7)²
- D. (x + 49)(x − 1)
Question 8
Use the difference of two squares to work out 68² − 64² without a calculator.
Answer
9
Question 9
Factorise: x² − 121
- A. (x − 11)²
- B. (x + 11)²
- C. (x + 11)(x − 11)
- D. (x + 121)(x − 1)
Question 10
Use the difference of two squares to work out 80² − 68² without a calculator.
Answer
11
Question 11
Factorise: 4x² − 121
- A. (2x + 11)²
- B. (2x + 11)(2x − 11)
- C. (2x − 11)²
- D. 2(x + 11)(x − 11)
Question 12
Use the difference of two squares to work out 70² − 68² without a calculator.
Answer
13
Question 13
Factorise: x² − 64
- A. (x + 8)²
- B. (x + 64)(x − 1)
- C. (x − 8)²
- D. (x + 8)(x − 8)
Question 14
Use the difference of two squares to work out 96² − 78² without a calculator.
Answer
15
Question 15
Factorise: 25x² − 100
- A. (5x + 10)(5x − 10)
- B. (5x − 10)²
- C. (5x + 10)²
- D. 5(x + 10)(x − 10)
Question 16
Use the difference of two squares to work out 48² − 34² without a calculator.
Answer

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