Problem solving with expressions and formulae

12 questions

1. All the lengths in the diagram are given in centimetres. Which calculation will find the area of the rectangle?
2. Select the expression that is equivalent to {1\over2}(6x -2).
3. All the lengths in the diagram are given in centimetres. The area of the triangle is ___cm².
4. All the lengths in the diagram are given in metres. The area of the trapezium is ___m².
5. Match each product of two binomials to its expanded form.
6. Which of these is the correct expansion of (4x + 3)^2 ?
7. What do you call a shape which is created using two or more basic shapes?
8. Which of these is an expression for the area of this rectangle?
9. Which of these is an expression for the area of this triangle?
10. Find an expression for the horizontal length marked with a '?' on this compound shape.
11. Which of these is an expression for the area of this compound shape?
12. All the length marked on this diagram are in centimetres. The area of the shaded part of this shape is 102 cm². The value of x is ___.

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