a. A regular tetrahedron tank has a height of 5 m and the triangular base sides are also all 5 cm. Calculate the volume in litres. (Give you answer correct to 2 decimal places) b. The 4 corners of a rectangular cover plate, 400 mm by 200 mm, are rounded to form sectors each with a radius of 20 mm. Determine the final area of the plate

c. Solve the following equations simultaneously. Show your method of solution:

1. 3x + 2y = 7
2. 2x - y = 4

d. Solve the following word problems by first writing (an) equations and then solving the equation(s).

1. Samantha is thre times as old as her daughter Emily. Four years ago, Samantha was four times as old as Emily. What is Emily's age, now?
2. Two men start from 2 places 1 000 km apart and travel towards each other, the first travelling 15 km/h faster than the second. They meet after 10 hours. Find the speed of the fastest man.
3. When opening her piggy bank, Courtney noticed that she had 82 coins made up entirely of 20c and 50c coins that totalled exactly $21-80. How many of each type of coins did she have?