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.
X_MATHS
R. VETRIVEL - 9865245111
UNIT 2
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
R. VETRIVEL - 9865245111
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.
X_MATHS
R. VETRIVEL - 9865245111
UNIT 2
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
X_MATHS
R. VETRIVEL - 9865245111
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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