**TMA Questions**

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**Ques1:-Answer any one of the following questions in about 40-60 words.**

(a) Puneet goes for morning walk to correct his BMI. He uses a fitness app to note down

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

3500 3000 2700 3200 2300 2800 4000

his average steps per day whose results for a week are given in the table below.

i. Calculate the total steps taken by Puneet in a week?

ii. On which day of the week did he walk the most?

iii. How many steps did he walk on an average in a week?

) Refer to above table. A teacher told ten students to write polynomials on black board.

i. How many students wrote cubic polynomials?

ii. Divide the polynomial x2 −2x+1 by polynomial.

**Ques2:-Answer any one of the following questions in about 40-60 words.**

(a)On the number line take points O, A, B, C, D, E and F representing integer 0,1,2, −1, −2 and −2 −3 respectively. At B draw BB’ perpendicular to OB such that BB’ = 1 unit. Taking O as a center and radius OB’ draw an arc which intersect number line at P. Measure the length of OP.

(b)The arrow shows the path of a billiard ball from X to H. XY and ZH are parallel path. Find the value of angles a, b, c, d and e. Show your working process and give reasons.

**Ques3:-Answer any one of the following questions in about 40- 60 words.**

In a quadrilateral ABCD,AOand BO are the bisector of ∠A and ∠B respectively. Prove that∠ AOB =〖1/2〗(∠𝐶 + ∠𝐷)

(b)If x + 1/x =5, find the value of x3+1/x3

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**Ques.:-4Answer any one of the following questions in about 100-150 words:**

In figure AB ∥ CD, ∠A = 1550, ∠E = 1350 and ∠FCD = x0 , then find thevalue of x.

(b) In figure ABC is a triangle in which it is given that ∠ A = 800 , ∠ C = 600 , ∠B = 2×0 , and ∠ BDC = y0 . BD and CD bisects ∠ B and ∠C respectively. Calculate the value of x and y.

**Ques :- 5Answer any one of the following questions in about 100-150 words:**

In the figure, DE ∥BC and DF∥BE then prove thatEF/FR = CE/EB.

(b) AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and AB ∥ CD. If the distance between AB and CD is 3 cm, find the radius of circle.

**Ques 6:- Prepare any one of the project out of two given below.**

(a) Conduct the survey of 50 households from your locality/ village, regarding number of person in family and family income.

i.Present the data related to family members in tabular form mentioning frequencies.

ii.Calculate the average family size. How many families are above the average family size?

iii.Draw the Bar graph for top 10 earning families.

(b)Construct a rectangle ABCD whose side AB = DC = 6 cm and AD = BC = 2 cm.

(c)Construct a trapezium EFGH at a distance of 1 cm from both the vertices of the side DC whoseother parallel side is 2 cm and is at a height of 3 cm from the DC.

(d)Construct a square FIJG with the same dimension as the side FG.

(e) Join I and J to the point k situated at a height of 3 cm from the mid point of the side IJ.

Answer the following questions –

a. Find the measure of diagonals AC and DB.

b. Find the area of the trapezium EFGH.

c. Find the measure of diagonals FJ and IG.

d. Find the measure of KI and KJ.

e. Find the value of ∠𝐼𝐾𝐽.

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