QUICK QUESTIONS WITH ANSWERS FOR REFERENCE

​A cylinder of radius 15 cm and height 24 cm is filled with water. A solid hemisphere of radius 7cm is submerged into the cylinder and removed. Find the change in height of water level in the cylinder. (4 marks) : ​A cylinder of radius 15 cm and height 24 cm is filled with water. A solid hemisphere of radius 7cm is submerged into the cylinder and removed. Find the change in height of water level in the cylinder. (4 marks)

A wall clock that gains 20 seconds after every hour was set to read the correct time on Tuesday at 03 25. Determine the time the wall clock will read on Thursday 03 25 h. (3 marks) : A wall clock that gains 20 seconds after every hour was set to read the correct time on Tuesday at 03 25. Determine the time the wall clock will read on Thursday 03 25 h. (3 marks)

A DEALER SELLS A MOBILE PHONE AT A PROFIT OF 25%. THE CUSTOMER SELLS IT TO A FRIEND AT KSH 60,000, MAKING A PROFIT OF 20 %. FIND THE COST PRIZE OF THE MOBILE PHONE. (3 MARKS) : A DEALER SELLS A MOBILE PHONE AT A PROFIT OF 25%. THE CUSTOMER SELLS IT TO A FRIEND AT KSH 60,000, MAKING A PROFIT OF 20 %. FIND THE COST PRIZE OF THE MOBILE PHONE. (3 MARKS)

GIVEN THAT, THE COORDINATES OF TWO POINTS P AND Q ARE (■(2,&3,&5)) AND (■(6,&K-1,&15)) RESPECTIVELY AND THAT THEIR POSITION VECTORS ARE PARALLEL, CALCULATE THE VALUE OF |PQ|. (4MARKS) : GIVEN THAT, THE COORDINATES OF TWO POINTS P AND Q ARE (■(2,&3,&5)) AND (■(6,&K-1,&15)) RESPECTIVELY AND THAT THEIR POSITION VECTORS ARE PARALLEL, CALCULATE THE VALUE OF |PQ|. (4MARKS)

THE VELOCITY V M/S OF A PARTICLE IN MOTION IS GIVEN BY V=3T^2-2T+5. CALCULATE THE DISTANCE TRAVELLED BY THE PARTICLE BETWEEN T= 2 SECONDS AND T = 6 SECONDS. : THE VELOCITY V M/S OF A PARTICLE IN MOTION IS GIVEN BY V=3T^2-2T+5. CALCULATE THE DISTANCE TRAVELLED BY THE PARTICLE BETWEEN T= 2 SECONDS AND T = 6 SECONDS.

https://www.atikaschool.org/kcsemaths/category/indices-logarithms : https://www.atikaschool.org/kcsemaths/category/indices-logarithms