Waec Further Mathematics Past Questions
Question 661
A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass 6kg moving in the opposite direction with velocity 10ms-1. If they stick together after the collision, find their common velocity.
- A. \(\frac{1}{2}\)Â m/s
- B. \(\frac{1}{3}\)Â m/s
- C. 2m/s
- D. 3m/s
Question 662
The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x.
- A. \(\frac{-1}{2}, 8\)
- B. \(\frac{1}{2}, -8\)
- C. \(\frac{-1}{2}, -8\)
- D. \(\frac{1}{2}, 8\)
Question 663
Find the coefficient of x\(^3\)y\(^2\) in the binomial expansion of (x-2y)\(^5\)
- A. -80
- B. 10
- C. 40
- D. 80
Question 664
The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
- A. x\(^2\) -Â 6x - 5
- B. x\(^2\) -Â 6x + 5
- C. x\(^2\) -Â 6x - 3
- D. x\(^2\) -Â 6x + 7
Question 665
The equation of a circle is given as 2x\(^2\) + 2y\(^2\) - x - 3y - 41 = 0. Find the coordinates of its centre.
- A. (\(\frac{-1}{4}\), \(\frac{3}{4}\))
- B. (\(\frac{1}{4}\), \(\frac{3}{4}\))
- C. (\(\frac{-1}{2}\), \(\frac{3}{2}\))
- D. (\(\frac{-1}{2}\), \(\frac{-3}{2}\))