QUIZ 1: PROBABILITY VOLUME & CIRCLES1. Diagram 7 shows five cards labelled with letters in Box P. Two cards are picked at random from the box, one by one without putting it back.Rajah 7 menunjukkan lima keping kad berlabel dengan huruf di dalam kotak P. Dua keping kad dipilih secara rawak dari kotak itu, satu demi satu tanpa dikembalikan..

ERW OTBox PKotak PDiagram 7Rajah 7

By listing the sample of all the possible outcomes, find the probability that Dengan menyenaraikan sampel bagi semua kesudahan peristiwa yang mungkin, cari kebarangkalian

(a) both card are labelled with a consonant kedua-dua kad berlabel dengan huruf konsonan

(b) a card labelled T and a card labelled R are picked. satu kad berhutuf T dan satu kad berhuruf R dipilih.[5 marks]

2. Diagram below shows a cone with height 12 cm and base diameter 7 cm inside the given cuboid.. If the cone is taken out of the solid. Calculate the volume, in cm3, of the cuboid, the cone and the remaining solid.Rajah menunjukkan sebuah kon dengan tinggi 12 cm dan diameter tapak 7 cm. di dalam kuboid yang diberi. Kon itu dikeluarkan daripada kuboid itu. Kirakan isipadu, dalam cm3, cuboid, kon dan pepejal yang tertinggal.

7 cm7 cm12 cm Use/Guna . [4 marks]

3. Diagram 1 shows a solid formed by joining a cone and a cylinder.

3 cm Diagram 1

The diameter of the cylinder and the diameter of the base of the cone are both

7 cm. The volume of the solid is 231 cm3. By using = , calculate the height, in cm, of the cone. [4 marks]

4. In the diagram below , PQR is the sector of a circle with centre O whereas QTR is a semicircle with centre S.

Q

P

14 cm

1350

ROS

Calculate(a)the area ,in cm2 , of the shaded region,154(b)the perimeter , in cm , of the shaded region.69[ 6 marks ]