10th Maths Slip Test Questions Upto 12 English Medium





Class : X UNIT : 2

SLIP TEST 3 MATHEMATICS

Marks : 50 Time : 1.30hrs

I . CHOOSE THE CORRECT ANSWER

5 x 1 = 5

1. The 8th term of the sequence 1,1,2,3,5,8..... is

a) 25

b) 24

c) 23

d) 21

2. If a, b, c, l, m are in A.P , then the vaue of a - 4b + 6c - 4l + m is .....

a)1

b) 2

c) 3

d) 0

3. If the nth term of a sequence is 100n +10, then the sequence is

a) an A.P b) a G.P c) a constant sequence d) neither A.P nor G.P

4.

If

a,b,c

are

in

G.P

,

then

- -

is

equal

to

a)

b)

c)

d)

5. If 1+2+3+......+n = k then 13 + 23 + 33 + +n3 is equal to..

a) k2

b) k3

c)

(+1) 2

d) (k +1)3

II. Answer any five of the following. Q.No: 12 is compulsory.

6. Find the first six terms of the sequence given by a1 = a2 = a3 = 1 and an = an-1 + an-2 for n > 3.

5 x 2 = 10

7. Find the 17th term of the A.P 4, 9, 14.....

8. How many two digit numbers are divisible by 13?

9. A person has deposited `25,000 in an investment which yields 14% simple interest

annually .Do these amounts (Principle + Interest) form an A.P ? If so, determine the

amount of investment after 20 years.

10.

In

a

geometric

sequence,

the

first

term

is

1 3

and

the

sixth

term

is7129

,

find

the

G.P.

11. If `1000 is deposited in a bank which pays annual interest at the rate of 5%

compounded annually, find the maturity amount at the end of the 12 years.

12.a) If a, b, c are in A.P them prove that (a-c)2 = 4 (b ? ac )2 .

(OR)

b) If the 4th and 7th terms of a G.P are 54 and 1458 respectively, find the G.P.

III. Answer any THREE of the following. Q.No: 18 is compulsory.

5 x 3 = 15

13. The 10th and 18th terms of an A.P are 41 and 73 respectively.

Find the 27th term.

14. The sum of the three consecutive terms in an A.P is 6 and their product is -120.

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Find the three numbers.

15. If a2 , b2 , c2

are

in

A.P

then

show

that

1 +

,

1 +

,1

+

are also in A.P.

16.

The

sum

of

first

three

terms

of

a

geometric

sequence

is

13 12

and

their

product

is

-1.

Find the common ratio and the terms.

17.

If

the

geometric

sequences

162,

54,

18,...

and

2 81

,

2 27

,

2 9

have their nth

term equal , find the value of n.

18. a) The sum of the first three terms of a G.P is 13 and sum of their squares is 91.

Determine the G.P

(OR)

b) If m times the mth term of an A.P is equal to n times the nth term, then show

that the (m+n)th term of the A.P is zero.

IV. Answer the following:

10 x 2 = 20

19. Construct a ABC in which the base BC = 5cm, = 40? and the median from

A to BC is 6cm. Also , measure the length of the altitude from A.

20. The cost of the milk per litre is RS.15. Draw the graph for the relation between the

quantity and cost. Hence find (i) the proportionality constant, (ii) the cost of 3litres of the milk

X_MATHS

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UNIT 2





Class : X Subject : MATHEMATICS

SLIP TEST 4 UNIT : 2.4, 2.5, 2.6

Marks : 50 Time : 1.15hrs

Section - A

I. Choose the correct answer:

5x1=5

1.

The

next

term

of

1 20

in

the

sequence

1 2

,

1 6

,

1 12

,

1 20

, ... ... is

1

a . 24

1

b. 22

1

c. 30

1

d. 18

2.

If

a1

a2,

a3,

.......

are

in

A.P,

such

that

4 7

=

3

2,

then

the

13th

term

of

the

A.P.

is

3

a. 2

b. 0

c. 12a1

d. 14a1

3. If k+2, 4k-6, 3k-2 are the three consecutive terms of an A.P., then the value of k is

a. 2

b. 3

c. 4

d. 5

4. If the nth term of an A.P. is tn=3-5n, then the sum of the first n terms is

a. 2(1-5n)

b. n(1-5n)

c. 2(1+5n)

d. 2(1+n)

5. The common ratio of the G.P. am-n, am, am+n is

a. am

b. a-m

c. an

d. a-n

II. Answer any 5 of the following; Q. No: 12 is compulsory:

5x2=10

6. Find the sum of the arithmetic series 5 + 11 + 17 + ............. + 95

7. In the arithmetic sequence 60, 56, 52, 48, ............... starting from the first term, how

many terms are needed so that their sum is 368?

8. Find the sum of the first 25 terms of the geometric series; 16 ? 48 + 144 ? 432 + .........

9. How many consecutive terms starting from the first term of the series;

i) 2 + 6 + 18 + ......... would sum to 728?

10.

The

second

term

of

a

geometric

series

is

3

and

the

common

ratio

is

4.

5

Find

the

sum

of the first 23 consecutive terms in the given geometric series.

11. Find the sum of the following series 12 + 22 + 32 + ............252

12. a) The sum of first n terms of a certain series is given as 3n2 ? 2n. Show that the series

is an arithmetic series.

(OR)

b) If 1 + 2 + 3 + ............ + P = 171, then find 13 + 23 + 33 + ............ + P3.

III. Answer any 3 of the following; Q. No: 17 is compulsory:

5x3=15

13. The measure of the interior angles taken in order of a polygon form an arithmetic

sequence. The least measurement in the sequence is 85?. The greatest measurement

is 215?. Find the number of sides in the given polygon.

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14. If there are (2n+1) terms in an arithmetic series, then prove that the ratio of the sum of odd terms to the sum of even terms is (n+1) : n

15. The first term of geometric series is 375 and the fourth term is 192. Find the common ratio and the sum of the first 14 terms.

16. If S1, S2, and S3 are the sum of first n, 2n and 3n terms of a geometric series respectively then prove that S1(S3-S2) = (S2-S1)2.

17. a) Find the sum of the series 52 + 72 + 92 + ......... + 392 (OR)

b) Find the sum to n terms of the series 6 + 66 + 666 + .........

IV. Answer the following:

2x10=20

18. Construct a segment of a circle on a given line segment AB = 5.2cm containing an angle 48?.

19. Solve the following equations graphically x2 ? 3x ? 10=0



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UNIT 2





Class : X Sub : MATHEMATICS

SLIP TEST 5

Ch: 4

Marks : 100 Time : 2.30hrs

I. Choose the correct answer:

15x1=15

1. Which one of the following statement in not true?

a. A scalar matrix is a square matrix b. A diagonal matrix is a square matrix

c. A scalar matrix is a diagonal matrix d. A diagonal matrix is a scalar is a matrix

2. If (3++17

2 -53)

= (18

- 8

2)

then

the

values

of

x

and

y

respectively

are

a. ? 2, 7

-1

b. 3 , 7

-1 -2

c. 3 , 3

d. 2, ?7

3. If a matrix is of order 2 x 3, then the number of elements in the matrix is

a. 5

b. 6

c. 2

d.3

4. If A is of order 3x4 and B is of order 4 x 3, then the order of BA is

a. 3 x 3

b. 4 x 4

c. 4 x 3

d. not defined

5. If A and B are square matrices such that AB=I and BA =I, then B is

a. Unit matrix

b. Null matrix

c. Multiplicative inverse matrix of A

d. ?A

6. If A = (-13 -42) and A + B = 0, then B is

a. (-13 -42)

b. (-31 -24)

c. (--13 --24)

d. (10 01)

7. A is of order m x n and B is of order p x q, addition of A and B is possible only if

a. m=p

b. n=q

c. n=p

8. If A = ( -) is such that A2 = I, then

d. m=p, n=q

a. 1+2+=0 b. 1?2+=0 c. 1?2?=0 d. 1+2?=0

9. (-01 01) ( ) = (10 -01) , then the values of a, b, c and d respectively are,

a. ?1, 0, 0, ?1 b. 1, 0 , 0, 1

c. ?1, 0, 1, 0

d. 1, 0, 0, 0

10. If 5 1 (-21) = (20), then the value x is

3

a. 7

b. ?7

c. 1/7

d. 0

11. Matrix A= [aij]mxn is a square matrix if

a. m < n

b. m > n

c. m = 1

d. m = n

X_MATHS

R. VETRIVEL - 9865245111

UNIT 2

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