CBSC Class 10 Mock test 1 for karmayog Career Academy

 Section m - A

Section A consists of 20 questions of 1 mark each.

1.

Ts divisible by 8. It is (A) an integer

(8) a natural number 2. two positive integers and b are written as x = x ^ 3 * y and h = x * y ^ 3, x, y are prime numbers, then HCF

(9) an odd integer

(D) an even integer

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(G)

(D) ry

3. It the zeroes of the quadratic polynomial

a * x ^ 2 + b_{1} + c ,a ne0 are equal, ther:

(a) and a have opposite signs

(b) c and have opposite signs (d) cand b have the same sign

(c) cand a have the same sign Which of the following equations

4.

has the sum of its roots as 37

(A) 2x ^ 2 - 3x + 6 = 0

(B) - x ^ 2 + 3x - 3 = 0

(C)

(D) 3x ^ 2 - x + 3 = 0

5. The point which divides the line segment joining the points ( mathbb Z_{4} - 6 ) and (3, 4) in ratio 1:2 internally lies in

the

(A) quadrant

(B) Il quadrant

(C) III quadrant

(D) IV quadrant

6. In the following figur. ST

QR, point S divides PQ in the ratio 4:5. If ST = 1.6 cm, what is the length of QR?

R

(Note: the figure is not to scale) ( A * 10.71cm

(6)3.6 cm

(B) 2 cm

(D) cannot be calculated from the given data

7. The mgl depression of a parked on the road tem the log of 150 in beh

Im the wet in mctric

11175

(A)505

(by 150-5

(C) 150

8. 2ABCght angled at C. then the value of a (A+B

(D)

(R)

9. in rangles DEF and PQR DQ and R-1 then which of the telewing is net true? (A) U/(PB) = (DF)/(PQ)

(D) EF RT^ * = L C

Cl * (DE)/(QR) = (DF)/(PQ)

KI * (DE)/(DF) = (FE)/(KP)

10. Twondes touch each other externally at P. AB is a common Lingent to the circles touching (B) 43

them at A and B The

value of ZAPB (A) otimes C ^ n

(C) 60°

11. The concentric circles are of radia 5cm and 3 cm. The length of the chord of larger circle (in cm) which touches the

smaller de sc (AJ6 cm

(B) &cm (C) 10 cm 12. Area of a sector of angle p (in degrees) of a circle with radius Ris

(D)2.cm

(A) P 60^ * * 2pi*R

(B 0 * p/(max) * 2pi

360°

13. The radius of a sphere (in cm) whose volume is 12 cm), is

(A)3

(8)315 14. In the formula for finding the mean of grouped data ds are the deviations from a of: sum x i d j sum t i

(A) lower limits of the classes o (C) mid-points of the classes

(B) upper limits of the classes (D) frequencies of the class marks

15. Savita has a lamp placed at the centre of her square yard, each side measuring 20 m. The light of lamp covers a circle of radius 10m on yard. The area of the yard is not lit by the lamp; is:

(A) 400 sq m

(B) 100 sq. m

(C) (40-10m) sq. m

(D) (400-100m) sq m

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16. If the probability of an event is p, then the probability of its complementary event will be:

(A)-1

(B) P

(C) 1-p)

(D 1 - 1/eta

17. The probability expressed as a percentage of a particular occurrence can never be (B) less than 0

(A) less than 100

(C) greater than 1

(D) anything but a whole number

18. The value of 9 sec A-9 tan-A is: (B)9

(A)!

(C) 8

(D)0

DIRECTION: In the question numbers 19 and 20, a statement of assertion (A) is followed by a statement of Reason (R). (A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Choose the correct option:

(B) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A) (C) Assertion (A) is true but reason (R) is false.

(D) Assertion (A) is false but reason (R) is true 19. Assertion The smallest number which is divisible by both 306 and 657; is 22338

Reason: The HCF of 306 and 657 is 9.

20. Assertion The line segment joining the points (x, y) and (x, y) is divided by the y-axis in the ratio section formula.

: 1; is called

Reason: The line segment joining the points P(-3, 2) and Q(5, 7) is divided by the y-axis in the ratio is 3:5

Section - B

Section II consists of Squestions of 2 marks each

21. Bu and are the ess of the polynomial

Euch that g = beta = 2 find the va

OR

Find the zeroes of the quadratic coefficients.

7x^ - - 11/3 * y = 2/3 and verify the statumlip between the serves and the

22. Evaluate (sin 90 deg)/(cos 45 deg) = 1/(cos 45 deg)

OR

23. A cylinder, a cone and a hemisphere have same base and same height find the ratio of the times

A steel wire when bent in the form of a square encloses an area of 121 cm If the same wire is bent in the form a circle, then find the circumference of the circle. 24. Prove that the lengths of two tangents drawn from an external point to a circle are equal

25. In the figure given below, BD and CE intersect each other at the point P triangle DBC- triangle D * E ^ 2 * W * L ^ 2 * WhyP

cm

Section - C

Section C consists of 6 questions of 3 marks each.

26. Given that, sqrt(5) is irrational, prove that - 2sqrt(5) - 3 is an irrational number 27. Represent the following pair of linear equations graphically and hence comment on the condition of consistency of this pair.

x - 5y =6,2x-10y=12.

1/3 A fraction becomes when 2 is subtracted from the numerator and it becomes 1/2 when is subtracted from the

denominator. Find the Iraction.

OR

28. ad be, then prove that the equation

(x ^ 2 + b ^ 2) * x ^ 2 + 2(ac + hf) * x + (c ^ 2 + d ^ 2) = 0 ) has no real roots. 29. A man in a boat moving away from a light house 100 m high takes 2 min to change the angle of

elevation of the

top of the light house from 60" to 30". Find the speed of the boat in metres per minute (use sqrt(3) = 1.7321

OR Amit, standing on a horizontal plane, finds a bind flying at a distance of 2000 m from hint at an elevation of 30 Deepak standing on the roof of a 50 m high building, the angle of elevation of the same bird to be 45. Amit and Deepak are on opposite sides of the bird. Find the distance of the bird from Deepak

30. In the given figure, OA OB OC x OD, show that ZAC and angle B = angle D,

sqrt(3) 1.732

A game consists of tossing a coin three times and noting the outcome each time, 'eting the same sult in tosses is a success, find the probability of losing the game

Section - D

Section D consists of 4 questions of 5 marks each.

32. In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato and the other potatoes

are placed 3 m apart in a straight line. There are 10 potat in the line (see figure)

Each competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, cons back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the

potatoes are in the bucket.

(i) What is the total distance the competitor has to run?

(ii) Which mathematical concept is used in the above problem?

OR

In a class test, the sum of Arun's marks in Hindi and English is 30. He had got 2 marks more in Hindi and 3 marks less in English, the product of the marks would have been 210. Find his marks in the two subjects. 33. Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PO = 3RS

Prove that Delta POS sim Delta*QOR .

OR

In the given figure, angle ACB = 90 deg and CD perp AB prove that C * D ^ 2 = BDAD

34. A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1c * m ^ 3 of iron has approximately 8 g mass (use * pi = 3.14 )

35. Find the mode of the following frequency distribution:

Class interval

25-35

f 7

35-45

45-55

31

33

55-65

65-75

17

75-85

11

1

Section - E

Case study hated questione e comprime

36, Read the following test and answer the following questions:

Year friend Veer wants participate in a 200 m race He can cummy nu that fetanor in a

of practice it takes him 2 less. He wants to detin

(1) Write the given situation in AT

b) What is the minimum number of days, he needs to practice till his goal is achieved? (ii) th term of an AP is given by

-2x+3, then find the common difference of A.P

OR

Find the value of x, for which 2r, x+10, 3e +2 are three consecutive terms of an AP

2

37. Read the following text and answer the below questions: In a room, 4 friends are seated at the points A. B. Cand Das shown in figure. Reeta and Meeta walk into the room and after observing for a few minutes, Reeta asks Meeta.

1234567510

(i) What is the position of A and D?

(ii) What is the distance between A and B7

(iii) What is the equation of line CD?

What is the middle position of B and C 7

OR

38. Read the following and answer the following questions:

An electrician has to repair an electric fault on the pole of height 5 m. He needs to reach a point 1.3 m below th top of the pole to undertake the repair work (see figure).

(i) What is the length of BD?

D

(ii) What should be the length of ladder, when inclined at an angle of 60 to the horizontal? (iii) How far from the foot of the pole should he place the foot of the ladder?

OR

If the horizontal angle is changed to 30", then what should be the length of the ladder?

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Karmayog Career Acad

KARMAYOG CAREER ACADEMY | MOCK TEST 01 (CLASS X MATHEMATICS)

KARMAYOG CAREER ACADEMY MOCK TEST 01 (CLASS X MATHEMATICS)

KARMAYOS CAREER ACADEMY MOCK TEST 01 (CLASS X MATHEMATICS)

KARMAYOG CAREER ACADEMY MOCK TEST 01 (CLASS X MATHEMATICS)

KARMAYOG CAREER ACADEMY MO TEST 01 (CLASS X MATHEMATICS)