TOTAL 28 marks
1. Solve this equation \[\frac{2x+1}{3}-\frac{2(4-3x)}{7}=2\]
[4 marks]
2. A wheelchair ramp of length 10m provides an alternative route to steps which climb 86cm. What angle does the wheelchair ramp make with the ground?
[3 marks]
3. Rob puts £500 in a bank account with interest rate r for 5 years? When he check his balance it is £864.63. What was the interest rate (r)?
[4 marks]
4. By showing your working and not using a calculator, find the value of $ \left( \frac {27}{125} \right)^{-\frac{2}{3}}$
[2 marks]
5. Find the area of a sector of a circle with radius 24cm and angle 35 degrees to 2 significant figures
[3 marks]
6. Find the gradient of this line: $7x-2y=7$ and use this value to find the equation of a line perpendicular to this line which passes through (0,-1)
[4 marks]
7. Solve the simultaneous equations: \[4x+3y=1\\-2x+5y=8\]
[3 marks]
8. HARD: A ship sails 6 km on a bearing of 141 degrees and then 5km on a bearing of 15 degrees. Draw a diagram and work out how far it must travel to return to the starting position. (HINT: one way to do this would be take a look at the Cosine Rule)
[5 marks]
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