5th Year Post Mock Workout

Due Monday 19th Jan in front of books. Click pics to enlarge. SHOW ALL working. Marks: 23

1. A car travels 120km in 2 hours and 17 minutes. Calculate its average speed. Give the units.

   [2 marks]

2. An iPad is reduced by £54 in a sale which is offering 22% off. What was it's price before the sale?

   [3 marks]

3. Find n(AuBuC')
   

   [2 marks]

4. $ \epsilon$ = {set of odd numbers}, A = {factors of 15}, B = {factors of 75} List all the items in AnB

   [3 marks]

5. M is the midpoint of the side AD. Find the angle between the face ABCD and the line MF to 3 significant figures.
   

   [5 marks]

6. Find angle X (O is the centre of the circle - I know it doesn't really look like a circle!)
   

   [3 marks]

7. By factorising the denominators, simplify: \[ \frac{4}{2x+2} - \frac{3}{x^2 -x -2} \]

   [5 marks]