Problem solving with expressions and formulae | Maths

Starter quiz

All the lengths in the diagram are given in centimetres. Which calculation will find the area of the rectangle?
- $7 + 3$
- $7\over 3$
- $7 \times 3$ ✓
- $2(7 + 3)$
- $2\times 7 + 2\times 3$
Select the expression that is equivalent to ${1\over2}(6x -2)$ .
- $3x - 1$ ✓
- $3x - 2$
- $6x - 1$
- $12x - 2$
- $12x - 4$
All the lengths in the diagram are given in centimetres. The area of the triangle is ______cm².
- '63' ✓
All the lengths in the diagram are given in metres. The area of the trapezium is ______m².
- '42' ✓
Match each product of two binomials to its expanded form.
- $(x + 5)(x + 1)$
  
  ⇔
  
  $x^2 + 6x + 5$ ✓
- $(x + 5)(x - 1)$
  
  ⇔
  
  $x^2 + 4x - 5$ ✓
- $(x - 5)(x + 1)$
  
  ⇔
  
  $x^2 - 4x - 5$ ✓
- $(x - 5)(x -1)$
  
  ⇔
  
  $x^2 - 6x + 5$ ✓
- $(x + 2)^2$
  
  ⇔
  
  $x^2 + 4x + 4$ ✓
- $(x - 2)^2$
  
  ⇔
  
  $x^2 -4x + 4$ ✓
Which of these is the correct expansion of $(4x + 3)^2$ ?
- $8x^2 + 12x + 9$
- $8x^2 + 14x + 9$
- $16x^2 + 9$
- $16x^2 + 6x + 9$
- $16x^2 + 24x + 9$ ✓