case /data -based (4 Marks)

Question 14 Marks

Horizon Glacier is a cold place. The average temperature of the place is less than zero.
The maximum and minimum temperature $($in $^\circ C)$ recorded for seven days in a week are given
below.

$1.$ What was the lowest temperature recorded in the week?
$A. –8^\circ C$
$B. –12^\circ C$
$C. –21^\circ C$
$D. –24^\circ C$
$2.$ The average maximum temperature of Horizon Glacier for the week was $–13.5^\circ C.$
On which days was the maximum temperature greater than the average maximum temperature$?$
$3.$ What is the difference between the maximum and minimum temperature on Friday$?$

Answer

$8. D. -24^\circ C$
$9.$ Sunday, Monday, Wednesday, and Saturday
$10. 9^\circ C$

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Question 24 Marks

Jacob and Mariya participated in Archery.
Jacob’s scores for ive shots are given below.

First shot	Second shot	Third shot	Fourth shot	Fifth shot
$0$	$4$	$8$	$10$	$6$

Mariya’s scores for three shots are given below.

First shot	Second shot	Third shot
$0$	$4$	$8$

Mariya won the competition.
$1.$ How much she did score in her fourth and fifth shots$?$
$2.$ Team Alpha and Beta played the Paint Ball game. Each team had $6$ members and each member shot the paint ball three times.
Team Alpha hit the opponent team $12$ times. Team Beta hit the opponent team $15$ times.
Which team got more penalty points and how many penalty points did they get$?$
$3.$ In another match, each member of team Alpha got hit $3$ times.
$4$ members hit back $5$ times each and the rest hit back $2$ times each.
Which calculation shows the team’s score$?$
$A. 6 × [3 + (-10)] + 4 × (5 + 20) + 2 × (2 + 20)$
$B. 6 × [3 × (-10)] + 4 × (5 × 20) + 2 × (2 × 20)$
$C. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)$
$D. 6 + [3 + (-10)] + 4 + (5 + 20) + 2 + (2 + 20)$

Answer

$3.$ Provides any combination that gives a score more than $10$ in the two
shots
For example:
● Mariya had to score $8$ in her fourth shot and $2$ in her ifth shot.
● Mariya had to score $6$ in both shots.
$4.$ Either Team Alpha or $30$ points
$5. B. 6 \times [3 \times (-10)] + 4 \times (5 \times 20) + 2 \times ( 2 \times 20)$
$6.$ Writes ‘Yes’ with valid justiication
● Yes, both teams can score equal. This can happen if Team $A$ falls once and team $B$ falls twice.
● Yes, both Teams can score equal. This can happen if Team $A$ falls twice and Team $B$ falls thrice.
$7.$ Either Archery or Jumping Jack

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Question 34 Marks

Richa jumped $10$ times in Trampoline jumping.
Her jump heights (in cm) are given below.

First	Second	Third	Fourth	Fifth	Sixth	Seventh	Eighth	Ninth	Tenth
$38$	$43$	$47$	$56$	$75$	$82$	$75$	$68$	$64$	$59$

$1.$ Anshu says ‘Rohit uses Angle-Side-Angle criterion for construction of triangle $ABC’.$
Is Anshu correct? Justify your answer.

Answer

$2. 9$ points

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Question 44 Marks

A funfair has activities for both children and adults. Activities can have group or pair or individual
participation. The winner in an activity is decided on the basis of scores. For some activities there
are penalties. Penalty points are subtracted from the scores.
This table below shows the details about the games and their scoring.

$1.$ Rohan and Samar compete in the car race.
Rohan’s car knocked down ive lags and Samar’s car knocked down one lag. Rohan reached the finish line faster than Samar.
Who is the winner and how many points did he score$?$

Answer

$1.$ Either Samar or $50$ points

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Maths case /data -based (4 Marks)

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