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Oak MathsTest · Maths

Addition with surds

The starter and exit quiz of the lesson “Addition with surds”, from the unit “Surds” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. A surd is in its ___ when the radicand is an integer with no perfect square factors greater than 1.
  2. Which of these surds are in their simplest form?
  3. \sqrt {18} simplifies to a\sqrt 2. What is the value of a?
  4. 3\sqrt {76} simplifies to k\sqrt {19}. What is the value of k?
  5. 3\sqrt {125} simplifies to h\sqrt 5. What is the value of h?
  6. 9\sqrt {98} simplifies to d\sqrt 2. What is the value of d?
  7. Three of the surds are like surds. Which one is not?
  8. Three of the surds are like surds. Which one is not?
  9. 4\sqrt {6} - a\sqrt {6} = -5\sqrt {6}. What is the value of a?
  10. After gathering like terms in the expression 4 - 3\sqrt b + 7\sqrt {bc} + 3\sqrt b - 20 - \sqrt {bc}, how many terms will be in the resulting expression?
  11. Is the statement "It is **always** best to simplify before adding surds"
  12. Calculate the perimeter of a square with side length \sqrt {18} + \sqrt {20}. Give your answer as simply as possible.

License: OGL

Addition with surds · Examplary