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1. Without using mathematical tables or calculator, evaluate the expression. 

2. A train moving at an average speed of 144 km/h takes 30 secs to completely cross a bridge that is 100 metres long. 
   i) Express 144 km/h in metres per second.
   ii) Find the length of the train.

3. One of the roots of the equation x^2 + (k + 1)x + 28 = 0 is 4. Find the values of k and hence the second root.

4. A line which joins the points A (3, k) and B (-2, 5) is parallel to another line whose equation is 5y + 2x = 10. Find the value of k.

5. Find the greatest integral value of x which satisfies the given inequality.

Solve math problems involving expressions without calculators, speed conversions, quadratic roots, coordinate geometry, and inequalities. Perfect for Grades 9-10 students.

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