Cbse Open Text Based Assessment Worksheet - Class Ix - Board Of High School And Intermediate Education - 2015-2016 Page 13
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2812. Growing up years is the foundation of adult health, children from age one onwards
grows taller and heavier till they reach adolescence at a whooping rate of 2.3 kg every
year for weight and 2 inches for height. Taking weight as variable ‘x’, height as y and
age in years as z. Establish a linear relationship between x and y, if weight at age of 1
year is 4 kg and height is 20 inches.
(4 marks)
13. Body mass Index (BMI) is a person’s weight in kilograms divided by the square of
height in meters. Taking the height as 180 cm, form a linear equation in two variables,
taking BMI as x and weight as y kg. Draw the graph also.
(3 marks)
14. Recommended calorie intake per day for normal child is six hundred calories less than
the active child. If calorie intake per day for normal child is 2200 calories, find the
recommended calorie intake per day for the active child by representing them as a
linear equation and draw the graph.
(4 marks)
15. Mohan from age one onwards grew taller at the rate of about 3.2 inches every year and
gained weight of about 2.4 kg every year.
His weight at age 3 years was 9 kg and height 30.4 inches. Assuming x and y to be his
weight and height, respectively when his age was t years, then find the relationship
between
(i) x and t
(ii) y and t
(4 marks)
16. Rahul wants to burn 300 calories in a day by performing physical activity. He jogs for x
minutes and runs for y minutes in order to burn the calories. Express the given
information as linear relationship between x and y. Also, draw the graph.
Disclaimer: Unit of the calorie burnt is cal/min instead of k. cal/min as given in the
table in the text.
(4 marks)
17. If square of height in metres is equal to the ratio of weight in kg to the Body mass
index(BMI), then taking the height as 200 cm, form a linear equation in two variables
taking weight as x kg and body mass index as y. Draw its graph.
(3 marks)
18. The height of Amit is 200 cm. If x and y represents the BMI and the weight,
respectively, then form a linear equation to represent the given information. Draw its
graph also.
(3 marks)
19. It is stated that “Children from age one onwards grows taller and heavier till they reach
adolescence at a whopping rate of about 2 kg every year for weight and 3 inches for
height.”
If a child at the age 1 weighs 5 kg and its height is 24 inches, then what is height of the
child when his weight is 8 kg.
(3 marks)
20. Aditya wants to burn 50 k cal in exactly 15 minutes by choosing home activities and
walking on the basis of table provided in the text. Make plan for Aditya for time spent
in home activities and walking by considering x minutes for home activities and y
minutes of walking. Identify the suitable time to be invested by Aditya in home
activities and walking by the use of graph.
(4 marks)
Prepared by: M. S. KumarSwamy, TGT(Maths)
Page - ii -
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