case /data -based (4 Marks)

Question 14 Marks

In an archery game, the points scored on hitting a circular region on a board is shown in the figure below.

$1.$ Which of the following equation represents Sharmistha’s score$?$
$A. 6x+ 4x= 80$
$B. 6x+ 4(x+ 5) =80$
$C. 6(x - 5) + 4x= 80$
$D. 6x+ 4(x - 5) = 80$
$2.$ How many arrows did Sharmistha shoot$?$
$A. 10$
$B. 11$
$C. 15$
$D. 30$
$3.$ Which of the following equations does $‘x= 5’$ not satisfy$?$
$A. 2x - 1 = 9$
$B. 3x+ 4 =19$
$C. 3x + 1 = 13$
$D. 4x - 3 = 17$

Answer

$8. D. 6x + 4(x - 5) = 80$
$9. A. 10$
$10. C. 3x + 1 = 13$

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Question 24 Marks

Multiple gaming tournaments can be played online. In these games, players can compete with
players from any part of the world.
In a tournament, $200$ points are awarded for a win and $20$ points are deducted for a loss.
$1.$ Chetan participated in the tournament.
He won two more matches than the number of matches he lost.
He scored $1120$ points.
How many matches did he play$?$
$A. 6$
$B. 8$
$C. 10$
$D. 14$
$2.$ Diksha played $16$ matches in the tournament. The number of matches won was equal to the number of matches lost by her.
How many points did she score$?$
$3.$ Drishti and Raghav also participated in the tournament.
Drishti won $10$ more matches than the number of matches she lost. Her score was $6140$ points.
Raghav lost $15$ more matches than the number of matches he won. His score was $6000$ points.
Who played more matches? Justify your answer.
$4.$ Prashant says, ‘The more you play, the more you score’.
Is his statement always true? Justify your answer.
$5.$ In a tournament, some hurdles have to be crossed to achieve the target score of $110$ points.
In a match, Shreyas crossed $18$ hurdles and scored 45 points.
Shreyas wants to win the tournament.
What is the minimum number of hurdles that have to be crossed?
$6$. Does the solution of an equation depend on the method used to solve it? Justify your answer.
$7.$ Which of the following represents an equation in one variable?
$A. \quad 5 p+3$
$B. \quad 4+2 a$
$C. \quad 5+7=12$
$D. \quad 5+4 x=9$

Answer

$1. C. 10$
$2. 1440$
$1440$ points
$3.$ Raghav, reasoning involves comparison of number of matches played by them.
● Raghav, as he played $110$ matches while Drishti played 56 matches.
$4.$ No, justiication involves the points deducted for a loss.
● No, score depends on the number of wins and losses not on the total number of matches played.
● No, if you lose more than you win, your score will be less.
$5. 44$ or $44$ hurdles
$6.$ No, justiication involves independence of method and solution or examples of solving an equation by different methods.
● No, because the same solution can be obtained by multiple methods.
● $6x + 8 = 38$ can be solved by transposing the numbers or by adding/subtracting same numbers from both sides of the equation.
$7. D. 5 + 4x = 9$

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Maths case /data -based (4 Marks)

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