S.6 Subsid Maths Test 3 Caltec S.6

Prepared by Samuel Buyinza, Maths Dept, GHS, 2020 1 SENIOR 6 SUBSDIARY MATHS 1(S475/1) REVISION EXERCISES Students are advised to do as many questions as possible . SECTION A TYPE OF QUESTIONS . (17 questions) 1. Two events are such that P( A )= 11 13 , P( B )= 3 5 and P(A B )= 2 5. Find (a) P(A )B (b) P(A B ) 2. Differentiate with respect to x; (a) y= 5x - 4 3x- 6 (b) y= - 4 421 xx−− 3. Two events A and B are such that P(B)=0.6 and P(A  B)= 0.94 . Find (a) P(A ) (b) P(A B ) 4. Mary takes 115⁄ minutes to cover a distance of 0.03km. If she accelerates at 2m/s 2 , Calculate the ; (a) initial speed (b) new speed. 5. An A eroplane lands at Entebbe International airport at 216 km/hr. If the plane covers a distance of 1500 m to come to rest, find the ; (a) time it takes to stop. (b) acceleration of the plane. 6. Find the gradient of the curve y= 3x 2(5x-1) at the point B (2,4). 7. Solve the equation 2 Sec 2 +3tan  -3= 0 such that 0°≤𝜃≤180 ° 8.Solve the equation cos  = sin2  for values of  from 0 0 to 360 0 . 9. The position vectors of points A and B are 3 i -5 j and 5 i +9 j respectively. Find the (a) position vector of the midpoint M of vector BA (b) angle between vector OM and OB 10. Solve the simultaneous equations; 2x -2y =1 and x 2- xy - 4=0. Prepared by Samuel Buyinza, Maths Dept, GHS, 2020 2 11. The table be low shows the marks(x) and the frequency(f) Calculate the (a) …