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Maths 2 Mark Question

Direct and Inverse Proportions · Maharashtra Board STD 8 (MSBSHSE - Semi English Medium). 6 questions.

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2 Mark Question

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6 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Observe the tables given below and in each case find whether x and y are inversely proportional.
x 5
9
15
16
y
9
15
21
24
Answer
Clearly, $5\times18=9\times10=15\times6=3\times30$
$=45\times2=90=\text{(consant)}$
Therefore, x and y are not inversely proportional.
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Question 22 Marks
Observe the tables given below and in each one find whether x and y are proportional.
x 2.5 4 7.5 10 14
y 10 16 30 40 42
Answer
Clearly,$\frac{\text{x}}{\text{y}}=\frac{2.5}{10}=\frac{4}{16}=\frac{7.5}{30}=\frac{10}{40}=\frac{1}{4},$ while $\frac{14}{42}=\frac{1}{3}$
i.e., $\frac{2.5}{10}=\frac{4}{16}=\frac{7.5}{30}=\frac{10}{40}$ is not equal to $\frac{14}{42}$
Therefore, x and y are not proportional.
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Question 32 Marks
Observe the tables given below and in each one find whether x and y are proportional.
x 3 5 8 11 26
y 9 15 24 33 78
Answer
Clearly, $\frac{\text{x}}{\text{y}}= \frac{3}{9}=\frac{5}{15}=\frac{8}{24}=\frac{11}{33}=\frac{26}{78}=\frac{1}{3}$ (constant)
Therefore, x and y proportional.
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Question 42 Marks
Observe the tables given below and in each one find whether x and y are proportional.
x 5 7 9 15 18 25
y 15 21 27 60 72 75
Answer
Clearly, $\frac{\text{x}}{\text{y}}=\frac{5}{15}=\frac{7}{21}=\frac{9}{27}=\frac{25}{75}=\frac{1}{3},$ while $\frac{15}{60}=\frac{18}{72}=\frac{1}{4}$
i.e., $\frac{5}{15}=\frac{7}{21}=\frac{9}{27}=\frac{25}{75}$ is not equal to $\frac{15}{60}$ and $\frac{18}{72}$
Therefore, x and y are not proportional.
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Question 52 Marks
Observe the tables given below and in each case find whether x and y are inversely proportional.
x
6
10
14
16
y
9
15
21
24
Answer
Clearly, $6\times9\ne10\times15\ne14\times21\ne16\times24$
Therefore, x and y are not inversely proportional.
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Question 62 Marks
Observe the tables given below and in each case find whether x and y are inversely proportional.
x 9
3
6
36
y
4
12
9
1
Answer
Clearly, $9\times4=3\times12=36\times1=36,$
While $6\times9=54$
i.e., $9\times4=3\times12=36\times1\ne6\times9$
Therefore, x and y are not inversely proportional.
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2 Mark Question - Maths STD 8 Questions - Vidyadip