Specimen paper 10TH ICSE

TRY to solve in best way.

1. .CLASS-X MATHEMATICS Page 1

SPECIMEN PAPER
ICSE BOARD EXAMINATION: 2019-20
CLASS-X

SUBJECT: MATHEMATICS
Time: 2.30Hrs. M.M.: 80
General instructions:
 All questions are compulsory...
 The question paper is in two sections A & B.
 Section a & Section B have 24 Questions.

Section A
 Tick the correct option. All answers are accepted with solution. 14.
Q1. Mrs. Asha Metha deposit ₹250 per month for on year in a bank’s recurring deposit account. If the rate of simple
interest is 8% per annum, then the interest earned by her on this account is? 4.
(A). ₹65 b. ₹120 c. ₹130 d. ₹260
Q2. If Mahi invested ₹0,320 on ₹100 shares at a discount of ₹14, then the number of shares he buys is? 4.
a. 110 b. 120 c. 130 d. 150
Q3. [
36
57
] × [
5
8
] is can be solved? If yes then solve it. 2.
A. yes b. no
Q4. [
�+34
�−4�+�
] [
54
39
] Then the values of x and y are? 2.
A. x= 2, y= 7 b. x=7, y=2 c. x=3, y=6 d. x= -2, y=
Q5. What are complementary events?, give one example. 2.
 Practice Question writes in full steps 66.
Q6. Boys scored the following marks in various class tests during a terminal exam, each test being marked out of 20.
17, 15,16,7,10,14,12,19,16,12. Find his average mean marks. 2.
Q7. 4, 5, 8, x+10, 2x+6, 3x+5, 30, 40 are in random order. If the mean is 24,
Find the value of x and, hence, the median. 3.
Q8. Draw a histogram for the following data on graph paper, labeling the axes properly and giving the scale for the axes.
Also, determine the mode and the modal class. 5.
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 3 8 12 14 10 6 5 2

2. .CLASS-X MATHEMATICS Page 2


Q9. The probability of snow on 1
st
January is 1/20. What is the probability that snow will fall on the next 1
st
January? 2.
Q10. A bag contains red balls, blue balls and a yellow ball, all the balls being of the same size. Anjali takes out a ball from
the bag without looking into it. What is the probability that she takes out
(me) a yellow ball? (ii) A red ball? (iii) A blue ball? 3.
Q11. The percentage of marks obtained by a student in monthly unit tests is given below: 5.
Unite test I II III IV V VI
Percentage of marks obtained 72 67 69 74 71 76
Based on this data, find the probability that the student gets
I. More the 70% marks in a unit test
II. Less than 72% marks in a unit test
III. Less than 65% marks in a unit test
Section B

Q12. Prove that
1
�??????�??????+cos??????
+
1
�??????�??????−??????��??????
=
2�??????�??????
1−??????��
2
??????
3.
Q13. (3
�??????�72
0
�??????�18
0
)
2
- (
sin32
0
??????��???????????? 38
0
)
2
3.
Q14. Sin (90
0
– Ө).Cos (90
0
- Ө)=
tanӨ
1+�??????�
2Ө
4.
Q15. In the given figure, all right angles have been marked. If DE= 18cm, EC= 8cm, 5.
And BD= 40cm , calculate
i. the measure of angle EDC
ii the length of side FA to the nearest whole number, if DE I I FA
Q16. The volume of a cylinder of height 4cm id 196 ?????? cm
2
. Find its lateral surface area and
its total surface area. 2.
Q17. B(5,-4) is reflected in the line l and its images is reflected in axis to A”. write the coordinate of A’ and A”.
3.
Q18. Find the coordinates of the points on the x-axis which are at a point of 3√5 units from the point (8,-3) 2.
Q19. ABCD is a parallelogram. The coordinates of the vertices are A(-4,-2), B(3,-2), C(x,4) and D(-1,2). Find the
coordinates of the point C. 3.
Q20. The coordinates of the vertices of ▲ABC are A (-2, 5), B (6, 1) and C 2, -1). Find 5.
I. The equation of a line perpendiculars of BC and passing through the vertex A
II. The equation of a perpendiculars to AC and passing through vertex B
III. The equation of a line orthocenter of triangle ABC
Q21. Find the matrix M such that M × [
3−4
02
] = [3 8]. 4.

3. .CLASS-X MATHEMATICS Page 3


Q22. If A=[
30
21
] , B=[
2−5
31
],C = [
2−3
45
] , find
I] A(BC) II] (AB)C III] IS A(BC)=(AB)C? does it possess associative property? 4.
Q23. The sum of the first five terms and the sum of the first seven terms of an arithmetic progression has a total of
arithmetic progression has a total of 167. If the sum of the first ten terms of the same progression is 235, find the sum of
its first 40terms. 4.
Q24. How many terms of the geometric progression 3,3/2 , ¾ ,………… are needed to give the sum of
3069
512
? 4.