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 questionsare compulsory...
 The questionpaperis intwosections A & B.
 Sectiona & SectionB have 24 Questions.
Section A
 Tick the correct option. All answers are accepted with solution. 14.
Q1. Mrs. AshaMetha deposit₹250 permonthfor on yearina bank’srecurringdepositaccount.If the rate of simple
interestis8%per annum,thenthe interestearnedbyheronthisaccount is? 4.
(A). ₹65 b. ₹120 c. ₹130 d.₹260
Q2. If Mahi invested₹0,320on ₹100 sharesat a discountof ₹14, thenthe numberof shareshe buys is? 4.
a. 110 b.120 c. 130 d. 150
Q3. [
3 6
5 7
] × [
5
8
] iscan be solved? If yesthensolve it. 2.
A.yes b. no
Q4. [
𝑥 + 3 4
𝑦 − 4 𝑥 + 𝑦
] [
5 4
3 9
] Thenthe valuesof 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 complementaryevents?,give one example. 2.
 Practice Question writes in full steps 66.
Q6. Boys scoredthe followingmarksin variousclasstestsduringa terminal exam, eachtestbeingmarkedoutof 20.
17, 15,16,7,10,14,12,19,16,12. Findhisaverage meanmarks. 2.
Q7. 4, 5, 8, x+10, 2x+6, 3x+5, 30, 40 are inrandom order.If the meanis 24,
Findthe value of x and,hence, the median. 3.
Q8. Draw a histogramforthe followingdataongraph paper,labelingthe axesproperlyandgivingthe scale forthe axes.
Also,determine the mode andthe 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 probabilityof snowon1st
Januaryis1/20. What is the probabilitythatsnow will fallonthe next1st
January? 2.
Q10. A bag contains redballs,blue balls andayellow ball,all the ballsbeingof the same size.Anjali takesoutaball from
the bag withoutlooking intoit.Whatisthe probabilitythatshe takesout
(me) a yellow ball? (ii) A redball? (iii) A blue ball? 3.
Q11. The percentage of marksobtainedbya studentinmonthlyunittestsis givenbelow: 5.
Unite test I II III IV V VI
Percentage of marksobtained 72 67 69 74 71 76
Basedon thisdata, findthe probabilitythatthe studentgets
I. More the 70% marks ina unittest
II. Lessthan 72% marksin a unittest
III. Lessthan 65% marksin a unittest
Section B
Q12. Prove that
1
𝑠𝑖𝑛𝐴+cos𝐴
+
1
𝑠𝑖𝑛𝐴−𝑐𝑜𝑠𝐴
=
2𝑠𝑖𝑛𝐴
1 −𝑐𝑜𝑠2 𝐴
3.
Q13. (3
𝑠𝑖𝑛720
𝑠𝑖𝑛180
)2
- (
sin320
𝑐𝑜𝑠𝑒𝑐 380
)2
3.
Q14. Sin(900
– Ө).Cos(900
- Ө)=
tanӨ
1+𝑡𝑎𝑛2Ө
4.
Q15. In the givenfigure,all rightangleshave beenmarked.If DE=18cm, EC= 8cm, 5.
AndBD= 40cm , calculate
i.the measure of angle EDC
ii the lengthof side FA to the nearestwhole number,if DE I I FA
Q16. The volume of a cylinderof height4cmid 196 𝜋 cm2
.Findits lateral surface areaand
itstotal surface area. 2.
Q17. B(5,-4) isreflectedinthe line l anditsimagesisreflectedinaxistoA”.write the coordinate of A’andA”.
3.
Q18. Findthe coordinatesof the pointsonthe x-axiswhichare at a pointof 3√5 unitsfromthe point(8,-3) 2.
Q19. ABCDis a parallelogram.The coordinatesof the verticesare A(-4,-2),B(3,-2),C(x,4) andD(-1,2).Findthe
coordinatesof the pointC. 3.
Q20. The coordinatesof the verticesof ▲ABCare A (-2, 5), B (6, 1) andC 2, -1). Find 5.
I. The equationof a line perpendicularsof BCand passingthroughthe vertex A
II. The equationof a perpendicularstoACand passingthroughvertex B
III. The equationof a line orthocenterof triangle ABC
Q21. Findthe matrix M suchthat M × [
3 −4
0 2
] = [3 8]. 4.

3. .CLASS-X MATHEMATICS Page 3
Q22. If A=[
3 0
2 1
] , B=[
2 −5
3 1
],C = [
2 −3
4 5
] , 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 termsandthe sumof the firstseventermsof an arithmeticprogressionhasatotal of
arithmeticprogressionhasa total of 167. If the sum of the firsttentermsof the same progressionis235, findthe sumof
itsfirst40terms. 4.
Q24. Howmany termsof the geometricprogression3,3/2, ¾ ,………… are neededtogive the sumof
3069
512
? 4.