TOTAL 28 marks
1. Solve this equation \[\frac{x+1}{5}-\frac{2(3-x)}{4}=1\]
[4 marks]
2. A 3m ladder is leaning up a wall at an angle to the ground of $60^o$. How far up the wall can it reach?
[3 marks]
3. Pete decided to buy a new car. After 4 years depreciation at 20% from new, Pete decides to sell the car. It does not sell and so Pete reduces the price by 15%. The car still does not sell and he reduces it by a further 7% to £3,200. It sells after 3 days. What did the car cost new?
[5 marks]
4. Expand $(3x-2)(4x+3)$
[2 marks]
5. Factorise $6x^2-11x-35$
[3 marks]
6. Find the gradient of this line: $3x-2y=7$ and use this value to find the equation of a line parallel to this line which passes through (0,4)
[4 marks]
7. In a triangle ABC, AB=10cm, BC=6cm and angle C is a right angle. Find angle A.
[3 marks]
8. A ship sails 9.2km from a lighthouse on a bearing of $135^o$ and arrives due east of a pier which happens to be due south of the lighthouse. Draw a diagram and calculate how far east of the pier the boat is.
[4 marks]
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