Question

The following pie-chart represents the total number of students playing various types of sports. Answer the
following questions.
(i) If there are 45 students play Cricket, then find the number of students who play Hockey and who play
Tennis, also find the total number of students. [1½]
(ii) Find the difference between the sum of students who plays Badminton and Basketball and the sum of
Football and Tennis.

Answer 1

Answer:

i) Hockey - 25 students

Tennis - 35 students

In total there are 180 students

ii) The difference is 20 students

Step-by-step explanation:

i) 90° is 25 % of the circle. This means that the total number of students is 4×45=180

Now we need to find x, we cand do so by making an equation:

90+60+(x-20)+20+x+70=360°

220+2x=360

2x=140

x=70°

Now we calculate how many students are playing Tennis:

(70×180)÷360=35 students

Now we can calculate how many students play Hockey (they take up 50°)

(50×180)÷360=25 students

ii) First, we calculate what is the sum of students who play Badminton and Basketball:

So together these students take up 90° so this means that 45 students paly these sports (same number as Cricket)

Now, we calculate how many people play Football and tennis:

Together they take up 130°, so:

(130×180)÷360= 65

Finally, we substract

65-45=20 students