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SCERT KERALA TEXTBOOKS SOLUTIONS & STUDY NOTES: STD V MATHEMATICS - UNIT 12 Tables and Graphs - NOTES | Teaching Manual

Kerala Syllabus Class 5 Mathematics - Unit 12 Tables and Graphs - Questions and Answers | Teaching Manual 

Questions and Answers for Class 5 Mathematics - Unit 12 Tables and Graphs - Study Notes | Text Books Solution STD 5 - Maths: Unit 12 Tables and Graphs - Questions and Answers
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അഞ്ചാം ക്ലാസ്സ്‌  Mathematics - Unit 12 Tables and Graphs എന്ന പാഠം ആസ്പദമാക്കി തയ്യാറാക്കിയ ചോദ്യോത്തരങ്ങള്‍. ഈ അധ്യായത്തിന്റെ Teachers Handbook, Teaching Manual എന്നിവ ഡൗൺലോഡ് ചെയ്യാനുള്ള ലിങ്ക് ചോദ്യോത്തരങ്ങളുടെ അവസാനം നൽകിയിട്ടുണ്ട്.

STD 5 - Maths: Unit 12 Tables and Graphs - Questions and Answers

♦ Textbook Page: 136
♦ Tables
♦ The grades of  Class 6 and Class 7 students are given in the tables below:
We can combine all three tables into one:
What information can we get from the completed table?
• The number of students who got an A grade in all three classes is equal to the number of students who got a B grade.
• In all three classes, the grade received by the least number of students is E grade.
• In all three classes, the number of students who got A or B is more than the number of students who got C, D or E.

♦ Textbook Page: 137, 138
♦ Now try these problems.
(1) The population of  the various districts of  our state, according to the 2011 census, is given in the table below:
Rewrite the table with populations in the ascending order.
DistrictPopulation
Wayanad817420
Idukki1108974
Pathanamthitta1197412
Kasaragod1307375
Kottayam1974551
Alappuzha2127789
Kannur2523003
Kollam2635375
Palakkad2809934
Thrissur3121200
Kozhikode3086293
Ernakulam3282388
Thiruvananthapuram3301427
Malappuram4112920
(2) The runs scored by a team in the first ten overs of  a one-day match is given below:
Calculate the total runs secured in each over and shorten the table like this:
(i) How many runs were scored in the first ten overs?
(ii)  In how many overs were more than 6 runs scored?
(iii)  In how many overs were less than 6 runs scored?
(iv) What other information can we get from this shortened table?
Answer:
(i) 75
(ii) 7
(iii) 1
(iv) • Over with the most runs
10
• Over with the least runs scored.

Data Pictures
England batted first in a T20 match against India. The runs they scored in each over is given in this table.
We can show this as a picture:
How is this drawn?
Along a horizontal line at the bottom, numbers from 1 to 20 are marked at the same distance apart. This is to show the number of overs.
Along a vertical line on the left, numbers from 1 to 21 are marked at the same distance apart. This is to show the number of runs scored.
Then at the position showing each over, rectangles are drawn with heights up to the number on the vertical line showing the number of runs scored
in that over. All these rectangles are of the same width.
All the information we get from the table can be found in the picture also. Moreover, we can see the ups and downs of scores at one glance. Such a picture is called a bar graph.
Now let’s see the specific graph of  the performance of  India batting second:

Now let’s see the specific graph of  the performance of  India batting second:
It doesn’t show the 20th over, since India won in the 19th over.
We can get a lot of information from this graph itself.
• In which over was the most runs scored?
11ᵗʰ

• How many runs were scored?
20 runs

• In which over was the least runs scored?
In the 13ᵗʰ, 14ᵗʰ and 15ᵗʰ overs

• How many runs were scored?
3 runs

• In how many overs were more than 10 runs scored?
5 overs

• Which are those overs?
4, 8, 9, 10 and 11

• In how many overs were less than 6 runs scored?
6 overs

• Which are those overs?
12, 13, 14, 15, 16 and 17

Now make a table showing the runs India scored in each over.
We can also compare the batting performance of the teams by drawing the graphs in different colours and combining them.
Can you answer these questions using the above graph?
• In which overs did India score more runs than England?
3, 5, 6, 8, 9, 10, 11 and 19

• In which overs did both teams score the same number of runs?
2, 7, 12, 14, 15 and 16

• Which team scored more at the end of the first ten overs?
India

♦ Textbook Page: 141, 142
♦ Now try these problems. 
1. The graph below shows the number of  cars a company manufactured in the past few years:
(i) In which year was the most number of cars made? How many cars were manufactured?
2019, 14500 cars

(ii) And in which year was the least number of cars manufactured? How many cars were manufactured?
2020, 10500 cars

(iii) How many cars less than those made in 2018 were made in 2023?
500 cars

2. The graph below shows the units of  electricity consumed during various months of a year:
(i) In which months was the maximum electricity used?
March, April

(ii) In which months was it the minimum?
September, October, November, December

(iii) What is the difference between the maximum and minimum?
340 − 290 = 50 units

(iv) Are there any months in which the same units of electricity was used?
Yes, September, October, November, December.

(v) What is the total number of units used in this whole year?
310 + 340 + 330 + 300 + 290 + 290 = 1860 units

3. The graph below shows the number of  girls and boys in classes 1 to 7 in a school:
(i) Which class has more boys than girls? What is the difference? 
3rd class, 75 − 70 = 5 boys

(ii) In which class is the difference between the number of girls and boys the most? In which class is this the least?
The difference between boys and girls is most in class 1.
The difference is least in classes 2, 3 and 6.

(iii) How many girls are there in all these classes together?
Total number of girls = 65 + 65 + 70 + 70 + 100 + 115 + 95 = 580

(iv) What is the total number of students?
Total number of boys = 45 + 60 + 75 + 55 + 90 + 110 + 85 = 520
So, total students = 580 + 520 = 1100

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