# Sample paper Maths class 10th

**Sample paper Maths class 10th**

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MATHS QUESTION PAPER

CLASS-X

MAX MARKS:80

SECTION-A

1) WHAT IS THE PROBABILITY THAT LEAP YEAR CONTAIN TWO MONDAYS?

2) PROOVE THAT SUM UPTO N TERMS OF N NATURAL NUMBERS IS N(N+1)/2.

3) A MAN STANDING ON THE BANK OF THE RIVER OBSERVES A TOWER AT A DISTANCE OF 50m FROM HIM AT AN ANGLE OF ELEVATIONOF 45, FIND THE HEIGHT OF THE TOWER.?

4) DETERMINE THE RATIO I WHICH THE LINE 7x+5y-2=0 DIVIDES THE LINE SEGMENT JOINING THE POINTS A(5,-2) AND B(6,3).

5) FIND THE SUM UPTO N TERMS 1+3++5+9+17+——

6) IF THE CYLINDER IS GIVEN WITH CURVE SURFACE AREA OF264m^2 AND ITS VOLUME IS FOUND TO BE 924m^3, THEN DETERMINE THE RATIO OF ITS DIAMETRTR TO ITS HEIGHT.?

7) IF (6,7) (X,Y), (1,4) AND (3,9) ARE THE VERTICES OF A SQUARE, THEN FIND (X+2Y)?

8) TWO UNBIASED COINS ARE TOSSED THEN WHAT IS THE PROBABILITY TO GET HEAD IN BOTH THE TOSSES.?

9) TO DIVIDE A LINE SEGMENT IN THE RATIO 3:9 A RAY IS SUCH THAT 10) FROM THIS AP 16,20,24,28,AND THE 20 TERM FROM THE LAST IS.

11) FIND THE SUM OF ALL 4 DIGIT NO WHICH LEAVES REMAINDER 6 WHEN DIVIDED BY 7.?

SECTION-B

12) RAMA AND SHYAMA ARE SISTERS. WHAT IS THE PROBABILITY THAT THEY WILL HAVE SAME BIRTHDAY IN LEAP YEAR.?

13) FIND THE ROOT OF THE EQUATION 9X^4+7X^2+8.

14) SHOW THAT THE POINT P(5,-9)LIES ON THE LINE SEGMENT JOINING THE POINT A(-6,9) B(-7,5).

15) A LETTER IS RANDOMLY CHOSEN FROM THE ENGLISH. WHAT IS THE PROBABILITY THAT THE CHOSEN LATTER IS VOWEL.?

16)WITH THE RADIUS 5CM AND ANGLE 60 FIND THE AREA OF MINOR SECTOR.?

SECTION-C

17)PROVE THAT N(A+N-1)/D.

18) IF THE VERTICES OF TRIANGLE ARE (2,K), (-2,9),(8,-5) AND THE AREA OF TRIANGLE ARE 20 SQUARE UNITS THEN FIND THE VALUE OF K.?

19) PROVE THAT( HCF)X(LCM)NOT EQUAL TO PRODUCT OF ANY THREE NUMBERS.

20) FIND THE NEXT TERM OF THE AP ROOT 2 ROOT 8 ROOT 18…,

21) IF THE PERSON LOOSES THE GAME WITH PROBABILITY 6/15 THEN WHAT IS THE PROBABILITY OF HIM TO WIN THE GAME.?

22) PROVE THAT IN TRIANGLE ABC AD IS MEDIAN AB2+AC2=(AD2+BD2)

23) IF THE AMOUNT OF 7600 IS EQUALLY DIVIDED AMONG PEOPLES IF THERE WOULD BE 10 PEOPLE MORE THEN EACH WILL GET RS 87 LESS,THEN FIND ORIGINAL NO OF PEOPLE?

24)FIND THE MEAN,MODE AND MEDIAN OF THE FOLLOWING DATA

CLASSES 5-15 15-25 25-35 35-45 45-55

FREQUENCY 4 7 9 7 7

25)IF ANGLE OF ELEVATION FROM A GROUND FOR A JET PLANE IS 60 AFTER 30 SEC THE ANGLE OF ELEVATION IS CHANGED TO 45 THEN FIND THE SPEED OF THE JET PLANE.?

26) IF T THE GEOMETRICAL FIGURE IS IN THE FORM OF FRUSTUM OF ACONE WHOSE TOP AND BOTTOM RADDI ARE 4CM AND 53 CM IF THE VOLUME OF BUCKET IS 8765 CM THEN FIND THE CAPACITY OF FIGURE.

27) PROVE THATCOS^2A+SIN^2A=1

28) FIND THE ORIGINAL MARKS OBTAINED BY RASHMI IN PHYSICS AND CHEMISTRY IF SUM OF HER MARKS IS 60 AND 1 MARKS LESS IN CHEMISTRY THE MARKS WOULD HAVE BEEN 75.

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