Problem solving with surds | Maths | Quizalize & Oak National Academy

Starter quiz

Order the fractions from smallest to largest.
- 1
  
  ⇔
  
  $2 \over 7$
- 2
  
  ⇔
  
  $1 \over 3$
- 3
  
  ⇔
  
  $4 \over 9$
- 4
  
  ⇔
  
  $3 \over 5$
- 5
  
  ⇔
  
  $5 \over 8$
What is the value of $a + b - c$ when $a$ = 7, $b$ = 21 and $c$ = 2.4
- '25.6' ✓
In order to rationalise $(2 - \sqrt {3})$ you would multiply by:
- $(2 + \sqrt {3})$ ✓
- $(-2 + \sqrt {3})$
- $(3 - \sqrt {2})$
- $(3 + \sqrt {2})$
True or false? Pythagoras' theorem can only be used to find the length of the hypotenuse.
- True
- False ✓
When is a surd in it's simplest form?
- when the radicand is an integer and has no perfect square factors greater than 1 ✓
- when the radicand is an integer
- when the radicand is a perfect square
Solve $x\sqrt {180} - 30 = x\sqrt {80}$ and write your answer in the form $a\sqrt {b}$ . State the value of $b$ .
- '5' ✓