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
Name
Date
Score/ 16
Question 1
Factorise: x² − 16
- A. (x + 4)²
- B. (x + 16)(x − 1)
- C. (x − 4)²
- D. (x + 4)(x − 4)
Question 2
Use the difference of two squares to work out 60² − 56² without a calculator.
Answer
Question 3
Factorise: 25x² − 9
- A. 5(x + 3)(x − 3)
- B. (5x − 3)²
- C. (5x + 3)²
- D. (5x + 3)(5x − 3)
Question 4
Use the difference of two squares to work out 35² − 33² without a calculator.
Answer
Question 5
Factorise: x² − 36
- A. (x − 6)²
- B. (x + 6)(x − 6)
- C. (x + 6)²
- D. (x + 36)(x − 1)
Question 6
Use the difference of two squares to work out 54² − 52² without a calculator.
Answer
Question 7
Factorise: x² − 144
- A. (x + 12)²
- B. (x + 12)(x − 12)
- C. (x − 12)²
- D. (x + 144)(x − 1)
Question 8
Use the difference of two squares to work out 40² − 22² without a calculator.
Answer
Question 9
Factorise: x² − 81
- A. (x + 9)²
- B. (x + 9)(x − 9)
- C. (x − 9)²
- D. (x + 81)(x − 1)
Question 10
Use the difference of two squares to work out 96² − 80² without a calculator.
Answer
Question 11
Factorise: x² − 144
- A. (x + 144)(x − 1)
- B. (x + 12)²
- C. (x − 12)²
- D. (x + 12)(x − 12)
Question 12
Use the difference of two squares to work out 86² − 72² without a calculator.
Answer
Question 13
Factorise: x² − 64
- A. (x + 64)(x − 1)
- B. (x − 8)²
- C. (x + 8)(x − 8)
- D. (x + 8)²
Question 14
Use the difference of two squares to work out 49² − 39² without a calculator.
Answer
Question 15
Factorise: x² − 9
- A. (x − 3)²
- B. (x + 9)(x − 1)
- C. (x + 3)(x − 3)
- D. (x + 3)²
Question 16
Use the difference of two squares to work out 94² − 76² without a calculator.
Answer
All done? Color in the animal! · Free from eurekami.com/math