Question
In a school camp, $40$ students were divided into two groups to play a game.
The table given below shows the scores of team $A$ and team $B.$
Time(s) in minutes Cumulative Score of Team $A$ Cumulative Score of Team $A$
$0-5$ $14$ $20$
$5-10$ $35$ $27$
$10-15$ $30$ $31$
$15-20$ $35$ $31$
$20-25$ $44$ $37$
$25-30$ $52$ $50$
$7.$ How many score points did team A get between $10-15$ minutes$?$
$A. 6$
$B. 24$
$C. 30$
$D. 68$
$8.$ Which team scored more points during last $5$ minutes$?$ Justify your answer.
$9.$ What is the mean number of score points obtained by team $A$ in a $5-$minute interval rounded to the nearest whole number$?$

Answer

$7. A. 6$
$8.$ Team $B$ with valid reasoning
● Team $B$ scored more than team $A$ as during the last $5$ minutes, the score of team $B$ is $13$ and the score of team $A$ is 8 in the last ive minutes.
$9. 9$
$9$ points

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

A carton contains both fragrant and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non$-$fragrant bottles in the carton.
Read the Source/ Text given below and answer any four questions: Rohan and Suraj were close friends, One day they were riding horses from Delhi to Faridabad. The names of their horses were Saku and Fareed respectively. The day was very sunny. On the way, they stopped for resting in a park. They tied their horses to a tree in the park. The length of ropes of Rohans's horse is $14m$ and that of the horse of Suraj is $7m$ as shown in the figures. Both the friends slept in the park under a green tree for some time. During this period both the horses took $10$ rounds along with the tree they were tied.

Answer the following questions
$i.$ The ratio of distance walked in $10$ rounds by the horses of Rohan and Suraj is:
$a. 2 : 1$
$b. 1 : 2$
$c. 3 : 1$
$d. 1 : 3$
$ii.$ The ratio of area of the grass the horses of Rohan and Suraj could graze:
$a. 2 : 1$
$b. 1 : 2$
$c. 4 : 1$
$d. 1 : 4$
$iii.$ What is the distance walked by Rohan's horse in $5$ rounds:
$a. 220\ m$
$b. 100\ m$
$c. 440\ m$
$d. 110\ m$
$iv.$ What we call the the length of rope in terms of circle$?$
$a.$ Diameter
$b.$ Radius
$c.$ Chord
$d.$ Tangent
$v.$ What we call the the distance walked by a horse in one round$?$
$a.$ Area
$b.$ Radius
$c.$ Circumference
$d.$ diameter
Read the Source/ Text given below and answer these questions:

Hareesh and Deep were trying to prove a theorem. For this they did the following:
$i.$ Drew a $\triangle ABC.$
$ii. D$ and $E$ are found as the mid points of $AB$ and $AC.$
$iii. DE$ was joined and $DE$ was extended to $F$ so $DE = EF.$
$iv. FC$ was joined.
Answer the following questions:
$i. \triangle\text{ADE}$ and $\triangle\text{EFC}$ are congruent by which criteria$?$
$\text{SSS}$
$\text{RHS}$
$\text{SAS}$
$\text{ASA}$
$ii. \angle\text{EFC}$ is equal to which angle$?$
$a. \angle\text{DAE}$
$b. \angle\text{ADE}$
$c. \angle\text{AED}$
$d.  \angle\text{B}$
$iii. \angle\text{ECF}$ is equal to which angle$?$
$a. \angle\text{DAE}$
$b. \angle\text{ADE}$
$c. \angle\text{AED}$
$d.  \angle\text{B}$
$iv. CF$ is equal to which of the following$?$
$a. BD$
$b. CE$
$c. AE$
$d.  EF$
$v. CF$ is parallel to which of the following$?$
$a. AE$
$b. CE$
$c. BD$
$d.  EF$
The figure below consists of a square and an equilateral triangle connected together with a
common side.
Image

In the design, $DF$ and $IG$ are two iron rods perpendicular to $BC.$ The measure of $\angle BAC = 120^\circ .$
$8.$ Which type of triangle is $ABC?$ Why$?$
$9.$ The central triangle AFG is equilateral. What is the measure of $\angle FDA?$
$A. 30^\circ $
$B. 60^\circ $
$C. 90^\circ $
$D. 120^\circ $
$10.$ The length of $IG$ is half of the length of $GC$. Write a proof for the statement.
Read the following text carefully and answer the questions that follow:
Once upon a time in Ghaziabad was a corn cob seller. During the lockdown period in the year $2020$, his business was almost lost.
So, he started selling corn grains online through Amazon and Flipcart. Just to understand how many grains he will have from one corn cob, he started counting them.
Being a student of mathematics let's calculate it mathematically. Let's assume that one corn cob $($see Fig.$),$ shaped somewhat like a cone, has the radius of its broadest end as $2.1 \ cm$ and length as $20 \ cm.$
Image
$i.$ Find the curved surface area of the corn cub.
$ii.$ What is the volume of the corn cub?
$iii.$ If each $1 \ cm^2 $ of the surface of the cob carries an average of four grains, find how many grains you would find on the entire cob?
OR
How many such cubs can be stored in a cartoon of size $20 \ cm \times 25 \ cm \times 20 \ cm$.
A construction company purchased a big cylindrical vessel to keep some liquid on it. Before using this vessel, the company decided to paint it properly. It costed $₹\ 3300$ to paint the inner curved surface of this $10 \ m$ deep cylindrical vessel at the rate of $₹\ 30$ per $m^2$.
Image
$i.$ Find the inner curved surface area of the vessel,
$ii.$ Find the inner radius of the base and capacity of the vessel.
Read the Source Text given below and answer any four questions:

Chocolate is in the form of a quadrilateral with sides $6\ cm$ and $10\ cm, 5\ cm$ and $5\ cm($as shown in the figure$)$ is cut into two parts on one of its diagonal by a lady. Part$-I$ is given to her maid and part $II$ is equally divided among a driver and gardener.

$i.$ Length of $BD:$
$a. 9\ cm$
$b. 8\ cm$
$c. 7\ cm$
$d. 6\ cm$
Area of $\triangle\text{ABC}:$
$a. 24\ cm^2$
$b. 12\ cm^2$
$c. 42\ cm^2$
$d. 21\ cm^2$
The sum of all the angles of a quadrilateral is equal to:
$a. 180^\circ$
$b. 270^\circ$
$c. 360^\circ$
$d. 90^\circ$
A diagonal of a parallelogram divides it into two congruent:
$a.$ Square.
$b.$ Parallelogram.
$c.$ Triangles.
$d.$ Rectangle.
Each angle of the rectangle is:
$a.$ More than $90^\circ$
$b.$ Less than $90^\circ$
$c.$ Equal to $90^\circ$
$d.$ Equal to $45^\circ$
Read the Source/ Text given below and answer these questions:
Once the Maths teacher of class $IX\ D$ told students that today we will prove that the sum of all three angles is $180^\circ .$ As shown in the figure, he told to draw any $\triangle ABC$ in the notebook.
Further side $BC$ was extended to $D.$

Now the teacher said to draw $CE \| BA.$ Further angles were named $1$ to $5$ as shown in the figure.
Now answer the following questions:
$i. BA \| CE$ and $AC$ is the transverse line, So $\angle1$ is equal to which angle$?$
$a. \angle2$
$b. \angle3$
$c. \angle4$
$d. \angle5$
$ii. \angle2$ is equal to which angle$?$
$a.\angle2$
$b.\angle3$
$c.\angle4$
$d. \angle5$
$iii.$ What is value of $\angle3+\angle4+\angle5?$
$a.180^\circ $
$b.120^\circ $
$c. 200^\circ $
$d. 360^\circ $
$iv.$ What is value of $\angle\text{ECD}=\angle4+\angle5?$
$a.\angle3+\angle5$
$b.\angle1+\angle2$
$c. \angle2+\angle3$
$d. \angle3+\angle4$
$v.$ What is value of $\angle1+\angle2+\angle3?$
$a.\angle3+\angle4+\angle5=180^\circ$
$b.360^\circ$
$c. \angle3+\angle4=100^\circ$
$d. 280^\circ$
For Maths integrated project, Sonia created a symmetrical design on Cartesian plain. She drew a fish in a rectangle ABCD in the 2nd quadrant as shown in figure.
Image
Based on the above information, answer the following questions:
(i) Find the sum of abscissa of points A and B.
(ii) Find the area of rectangle ABCD.
(iii) What will be the new coordinates of A, B, C and D to draw the reflection of fish in the $3^{\text {rd }}$ quadrant across $x$-axis.
(iv) What will be the new coordinates of A, B, C and D to draw the fish by shifting each vertex of the rectangle 5 units to the right.
Read the Source/ Text given below and answer these questions:

 A farmer has a circular garden as shown in the picture above. He has a different type of trees, plants and flower plants in his garden. In the garden, there are two mango trees $A$ and $B$ at a distance of $AB = 10m.$ Similarly, he has two Ashoka trees at the same distance of $10\ m$ as shown at $C$ and $D.\  AB$ subtends $\angle\text{AOB}=120^\circ$ at the center $O,$ The perpendicular distance of $AC$ from center is $5m$. The radius of the circle is $13\ m$. Now answer the following questions:
$i.$ What is the value of $\angle\text{COD}?$
$a. 60^\circ $
$b. 120^\circ $
$c. 100^\circ $
$d. 80^\circ $
$ii.$ What is the distance between mango tree $A$ and Ashok tree $C?$
$a. 12\ m$
$b. 24\ m$
$c. 13\ m$
$d. 15\ m$
$iii.$ What is the value of $\angle\text{OAB}?$
$a. 60^\circ $
$b. 120^\circ $
$c. 30^\circ $
$d. 90^\circ $
$iv.$ What is the value of $\angle\text{OCD?}$
$a. 30^\circ $
$b. 120^\circ $
$c. 60^\circ $
$d. 90^\circ $
$v.$ What is the value of $\angle\text{ODC}?$
$a. 90^\circ $
$b. 120^\circ $
$c. 60^\circ $
$d. 30^\circ $