· presentation of the context . organization of ideas . style and choice of words . questions 22...
TRANSCRIPT
ANSWER KEY
First Year Higher Secondary Examination March 2020
Communicative English Code No: FY – 22
Qn No Value Points Split Score Total Score
1
2
3
4 a
b
5
6
7
8
9
Questions 1 to 6 (answer all)
from, to, of, with
tall / green
feedback
to go back
to illustrate
What do you like for breakfast?
listen
Questions 7 to 11 (answer any three)
king, prince
Two meaningful sentences with words or phrases expressing
advice like
you must, you should. you ought to, you have to,
If I were you, you had better, why don’t you etc
Radio Text
Meaningful sentences conveying the idea like the following
• The opposition leader said that the government had
created the problem.
• The opposition leader said, the government had created
the problem.
• The government had created the problem, said the
1+1+1+1
1
1
1
1
1
1
1+1
1+1
4
1
1
2
1
1
2
2
10
11 a
b
12
13
14
15
16
opposition leader.
News headline
Any short relevant news headline
Example
• Artificial intelligence makes computer a human being.
• Artificial intelligence gives a human touch to computer.
True
False
Questions 12 to 17 (answer any four)
Recipe
Name of the dish
Ingredients
Method of preparation
Cookery diction and sequencing
Four relevant arguments supporting the motion with proper
expressions
Possible expressions suitable for the context
In my opinion
In my view
I agree with
I support the topic
Notice
Format
Content with relevant details
Framing questions
Relevant questions
structure of questions
Expressing views
1 x 2
1 x 2
1
1
1
1
1
1
1+1+1+1
2
2
1+1+1+1
2
2
2
4
4
4
4
17
18
19
20
21
22
Meaningful sentences with words or phrases expressing views
like
In my opinion, In my view, I think , As far as I am concerned etc
Name of the profession
Reasons for the choice and how to accomplish
Apt expressions and language
Questions 18 to 21 (answer any two)
Content relevant to the topic
Logical sequencing of ideas
Style and choice of words
Report
Title
Logical presentation of the matter
Details of special attraction
Language and style
Complaint letter
Format and formal language expressing complaint
Organization of ideas
Introducing the topic
Presentation of the context
Organization of ideas
Style and choice of words
Questions 22 to 26 (answer any three)
Application letter with CV
Application letter
CV
1 x 4
2
2
2
2
1
1
2
1
1
3
2
1
2
1
1
3
3
4
4
5
5
5
5
6
23
24
25
26
Brochure
Title
Catchy and brief introduction
Content and subtitles
Choice of words
Details of services, facilities, destination
Catchy caption
Speech
Salutation and conclusion
Introducing the topic
Logical presentation of ideas
Appropriate language or choice of words
Telephonic conversation
Telephone etiquette
Relevant exchanges
Meaningful questions and sentences
Logical presentation of the matter
Content with relevant details
Choice of words and style of language
1
1
1
1
1
1
1
2
2
1
2
2
2
2
2
2
6
6
6
6
Reeson K A
9496169094
ANSWER KEY
FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH-2020
SUBJECT: BOTANY SCORE :30
Qn. No.
Sub. Qns
Answer key/ Value points Score Total Score
I 1 (c) / Mitochondria 1 1 2 (a)/Dicot root 1 1
3 Euglena 1 1
4 Anaphase 1 1
5 2 1 1
II 6 a. b.
Facilitated diffusion/Facilitated transport Diffusion in which hydrophilic substances move across a membrane along the concentration gradient through certain transport molecules in the membrane/ Diffusion facilitated by the protein/ movement of particles through transport protein without using ATP
1 1
2
7 a. b. c. d.
Synapsis/ chromosome start pairing/ formation of synaptonemal complex/ formation of bivalent or tetrad Pachytene Diplotene Terminalisation of chiasmata/ Nucleolus disappears/ Nuclear envelope breaks/ Chromosomes fully condensed
½
½ ½ ½
2
8. Growing plants in nutrient solution/ Soil less culture . essential elements were identified/ Deficiency symptoms discovered / commercial production of vegetables/ To make kitchen gardens/ production of seedless cucumber, tomato, lettuce/ relevant such other response (any One response)
1 1
2
9.
Lysosome Golgi apparatus Ribosome
. Rich in hydrolytic enzymes / (d)
. Made up of many flat, disc shaped sacs or cisternae / (b)
. Involved in protein synthesis . Membrane is absent / (a), (e)
½ x4
2
10 a. b.
Non-cyclic / Z scheme manner / Zig Zag manner 1 / PS I / P 700
1+1
2
c. d.
2 / PS II / P700 and P680
Absent (any Two correct responses give full score)
11 a. b.
The breakdown of glucose in to pyruvic acid Cytoplasm / cytosol
1 1
2
12 a. b. c.
A. Mesophyll Cell B. Bundle sheath cell OAA/ Malic acid / Aspartic acid PEP carboxylase / PEP case
1 ½ ½
2
13 a. b.
Respiration takes place in the absence of oxygen/ Incomplete oxidation of glucose in anaerobic condition/ fermentation Converted to ethanol (ethyl alcohol, C2H5OH) and CO2
1 1
2
14 a. b.
Carboxylation, Reduction, Regeneration / Schematic representation of Calvin cycle First stable product is a 3 C compound/ 3-PGA/ 3-Phosphoglyceric acid ( If a or b is correct give full score)
2
2
15
A B a. Double fertilisation angiosperm/ v
b. Heterospory pteridophyte/ gymnosperm/angiosperm/iv/iii/v
c. Protonema Bryophyte/ i
d. Naked seeds Gymnosperm/ iii
½ ½ ½ ½
2
16 a. b.
Schleiden and Schwann . all living organisms are composed of cells and product of cells . all cells arise from pre-existing cells
1 ½ x2
2
III
17 a. b. c.
A. Twisted B. Vexillary/ Papilionaceous One margin of each member overlap that of the next one and so on/ regular overlapping Standard petal, wing (lateral) petals, keel petal (anterior small petal)
1 ½ ½ x3
3
18 a. b. c.
Auxin, Cytokinin, Gibberellin ABA/Abscisic acid . inhibit seed germination/stimulate the closure of stomata/helps to withstand desiccation/antagonist to Gibberellin/seed dormancy/ seed maturation/seed development (any Two responses)
½ x3 ½ ½ x2
19 a. b.
Reticulate, Parallel (regardless of mentioning A and B) Arrangement of veins and veinlets in the leaf lamina
2 1
3
20
. present between upper and lower epidermis . made up of parenchyma cells . divided in to palisade and spongy parenchyma . adaxially placed cells are palisade . palisade cells are elongated . palisade cells are arranged vertically and parallel to each other . spongy parenchyma cells are oval or round . spongy parenchyma cells are situated below palisade and extends to the lower epidermis . spongy parenchyma is loosely packed with air cavities . palisade parenchyma contains more chloroplast . spongy parenchyma contains less chloroplast . perform photosynthesis (any Three responses)
1x3
3
BINOY V M - 9605866895
FIRST YEAR HIGHER SECONDARY EXAMINATION, MARCH 2020
PART-III ZOOLOGY (Max Score :30)
I-Answer any 3 questions from 1 to 5.Each question carries 1 Score
Qn Answer key Score
1 c) / Carbonic anhydrase 1
2 Amino acids 1
3 b) / Sarcomere 1
4 b) / Comb plates, Bio luminescence 1
5 (a) / Taxon / ( b) / Species 1 II-Answer any 9 questions from 6 to 16.Each question carries 2 Score
6 Amoeboid movement- with the help of Pseudopodia/WBC movements/Cytoskeltel elements Ciliary Movement- with the help of Cilia/Fallopian tubes / trachea. etc
Muscular movement- with the help of Muscles/ intestine/peristalsis. etc (any two movements and its parts) 1 + 1 =2
7 a) Uremia ½ b)Renal Calculi/Kidney Stone ½ c)Kidney Transplantation ½
d)Glomerulonephritis ½
8 Class Amphibia (i) & (iv) OR Skin is moist without scales & Can live in aquatic as well as terrestrial habitat. Class Reptilia (ii) & (iii) OR
Body is covered by dry and cornified skin. & Shed the scales as skin cast
1
1
9 Enzyme molecules are fewer than substrate molecules and after saturation of 2 substrate molecules; there are no free enzyme molecules to bind with additional substrate
molecules.
10 Active transport- against the concentration gradient/ Energy required. Simple diffusion- depends on concentration gradient/ from higher concentration to lower concentration/ Energy not required.
1
1
11 a)IRV(Inspiratory Reserve Volume) / ½ Additional volume of air a person can inspire by a forcible inspiration/
2500 ml to 3000ml
ERV(Expiratory Reserve volume ) /
Additional volume of air a person can Expire by a forcible Expiration/ ½
1000 ml to 1100ml
b) Tidal Volume / ½
Volume of air inspired or expired during a normal respiration./
500ml
Residual Volume /
Volume of air remaining in the lungs even after a forcible expiration/ ½
1100ml to 1200ml
12 Gastric juice : Pepsin/ Rennin/ Lipase (any one) Intestinal juice: Lipase Pepsin : Proteolytic enzyme /Protein Digesting/ Proteins to Peptones
Rennin : Proteolytic enzyme / Protein Digesting/ of infants Lipase: Lipolytic enzyme / Lipid or Fat digesting. ( function of any two enzymes)
½ ½
½ + ½
13 a) Renin ½
b)Angiotensin-I c) Aldosterone d) Rise in GFR/ Increased GFR/Increases
½ ½ ½
Page: 1/2
1.Manoj Kumar P (11041) , Malappuram – MOB: 9847554332
2. Dr.Archana Devi T , Alappuzha
3. Sabu K, Kasaragod
4. Dileep K , Kozhikode
5. K R Unnikrishnan , Thrissur
6. Shanto Mathew ,wayanad
Page:2/2
14 Adrenal Cortex Adrenal Medulla
Secrete corticoids/ carbohydrate metabolism/
regulation of water-electrolyte balance/ metabolism of minerals /
development of sex characters like growth of hairs ,etc
(Any 2 points= 1 score)
They secrete Epinephrine/ Adrenaline and Nor epinephrine/Noradrenaline (Catacholamine)/ emergency hormone/ fight or flight hormones/any one function( increase alertness, sweating, increase heart beat etc) (Any 2 points= 1 score)
2
15 a)Uric acid 1 b)Malpighian tubules, Fat body, Urecose gland, Nephrocytes (Any two) 1
16 • Cartilage cells are called Chondrocytes 1 • Intercalated discs are seen in Cardiac muscle / Heart muscle 1
III-Answer any 3 questions from 17 to 20. Each question carries 3 Score
17
a)ECG/Electrical activity of heart/Polarisation and Depolarisation /flow of cardiac impulse. ½
b)P-Wave: Electrical Excitation/Contraction/ systole/Depolarisation of atria ½
QRS-Wave-Depolarisation / contraction / systole of ventricle ½
T-Wave- Return to normal state / relaxation/dlastole/ Repolarisation of ventricle ½
c)Deviation indicates abnormality / Heart attack/ any other heart disease 1
18 A-Testis ½ B-Thymosin ½
C-Provide immunity/ differentiation of T lymphocytes/development of immune system ½
D-Pancreas ½
E-Melatonin ½
F-Regulate 24 hour cycle/ Diurnal rhythm / Biological clock/ Any other function (metabolism,pigmentation,defence etc). ½
19 A-Balanoglossus-Phylum Hemichordata ½ + ½ B-Nereis-Phylum Annelida ½ + ½ C-Liver Fluke /Fasciola-Phylum Platy helminthes (Flat worms) ½ + ½
20 a)A-lens B-Optic nerve 1 b)Fovea/Macula Lutea/Yellow spot -Thinned out part of retina/with more cones/maximum vision 1
c)Cornea Aqueous chamber Lens Vitreous chamber Retina 1
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
Qn.No
Sub Qn
ANSWER KEY VALUE POINT
Score Total score
1) i) ii) iii)
(B) n(A)=0 ------------------ -------------------------→ (B) {x/x€R,6<x<12} ---------------------------------→ (C) B, ---------------------------------------------------→
1 1 1
3
2) n(u)=600 Tea=A, n(A)=150 Coffee=B, n(B)=225 n(A∩B)=100 n(AUB)=n(A)+n(B)-n(A∩B) ----------------------→ =150+225-100 =275 ---------------------------------------→ n(neither tea nor coffee)=n(A'∩B') ---------→ =n(U)-n(AUB) =600-275 =325---------------→ Remarks ii)n(A'∩B')=n(AUB)'=n(U)-n(AUB)-------→(1/2) iii) Correct answer using Venn diagram, score(3) Type equation here.
1 1/2 1/2 1
3
3)
Cosec(x)=-2 Sin(x)=-1/2 X is in the third or fourth quadrant
X= π+𝜋
6 =
7𝜋
6 ---------------------------------→
X= 2π - 𝜋
6 =
11𝜋
6 -------------------------------→
Principal solutions are 7𝜋
6 and
11𝜋
6
Sin(x)=-1/2
Sin(x)=Sin(7𝜋
6)
1 1/2
3
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
4)
i) ii)
General solution x=nπ+(−1)𝑛y -----------------→
X=nπ+(−1)𝑛 7𝜋
6 ----------------→
Remarks One of the principal solutions is correct, Score(1) (C) 0 --------------- ----------------------------------→ a=-3/4
r=(
3
16)
(−3
4)=
−1
4 ----------------------------------→
𝑆𝛼=𝑎
(1−𝑟) --------------------------------------→
=−(
3
4)
(1−(−1
4))
= (
−3
4)
(5
4)
=-3/5 ----------------→
1 1/2 1 1/2 1 1/2
3
5) 7+77+777+-----------nterms =7[1+11+111+-----n terms]-----------→ =7/9[9+99+999+---n terms]-------→ =7/9[10-1+100-1+1000-1+---n terms] =7/9[(10+100+1000+--)-(1+1+1+--)-------→
=7/9[10(10𝑛−1)
10−1− 𝑛]
=7/9[10(10𝑛−1)
9− 𝑛]-------------→
Remarks
i) 𝑆𝑛 =𝑎(𝑟𝑛−1)
(𝑟−1), 𝑠𝑐𝑜𝑟𝑒(1)
1/2 1/2 1 1
3
6) i)
P=(3,4,5) Q=(0,4,0)
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
ii)
PQ=√(𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2 + (𝑧2 − 𝑧1)2
=√9 + 0 + 25
= √34---------------------------------→ 𝑥1=3 𝑥2=0 m=2 𝑦1=4 𝑦2=4 n=3 ----------------------→ 𝑧1=5 𝑧2=0
(x,y,z)=[𝑚𝑥2+𝑛𝑥1
𝑚+𝑛,
𝑚𝑦2+𝑛𝑦1
𝑚+𝑛,
𝑚𝑧2+𝑛𝑧1
𝑚+𝑛] -----→
= (9/5,4,3) ----------------------------------→ Remarks i)Distance formulae, score (1/2) ii)Section formulae ,score (1)
1/2 1/2 1/2 1 1/2
3
7)
𝑑𝑦
𝑑𝑥= lim
ℎ→0
𝑓(𝑥+ℎ)−𝑓(𝑥)
ℎ ----------------→
𝑓(𝑥)=cos(x)
𝑓(𝑥+ℎ)=Cos(x+h)
𝑓(𝑥+ℎ) − 𝑓(𝑥) = 𝐶𝑜𝑠(𝑥 + ℎ) − 𝐶𝑜𝑠(𝑥)
= -2Sin(2𝑥+ℎ
2)𝑆𝑖𝑛(
ℎ
2)------→
𝑓(𝑥+ℎ)−𝑓(𝑥)
ℎ=
−2𝑆𝑖𝑛(2𝑥+ℎ
2)𝑆𝑖𝑛(
ℎ
2)
ℎ
𝑑𝑦
𝑑𝑥= =lim
ℎ→0
−2𝑆𝑖𝑛(2𝑥+ℎ
2)𝑆𝑖𝑛(
ℎ
2)
ℎ
=limℎ→0
−2𝑆𝑖𝑛(2𝑥+ℎ
2)𝑆𝑖𝑛(
ℎ
2)ℎ
2.2
=-Sin(x) ----------------------→
1 1 1/2 1/2
3
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
8)
i) ii)
Remarks
i) Cos(x)-Cos(y) = −2𝑆𝑖𝑛 (𝑥+𝑦
2) 𝑆𝑖𝑛(
𝑥−𝑦
2) --→(1)
iii) 𝐷𝑖𝑟𝑒𝑐𝑡 𝑑𝑦
𝑑𝑥 =-sinx, score (1)
(c) 1275-----------------------------→ 𝑓(0)=lim
𝑥→ō𝑓(𝑥)
= lim(𝑥→ō)
|𝑥|
𝑥
=lim𝑥→0
−𝑥
𝑥
=-1 ---------------------------------------------→
𝑓(0+)= lim𝑥→0+
|𝑥|
𝑥
=lim𝑥→0
𝑥
𝑥
=1 --------------------------------------------→
𝑓(ō)≠𝑓0+) Limit does not exist ------------------------------→ Remark
i) Concept of left hand or right hand limit ,score (1)
ii) Definition of |𝑥|, 𝑠𝑐𝑜𝑟𝑒 (1)
1 1 1 1/2 1/2
3
9) (a) (b) (c) (d)
(ii) f:R→R given by f(x)=𝑥3 ----------------------
(iv) f:R→R given by f(x) = {1, 𝑥 > 00, 𝑥 = 0
−1, 𝑥 < 0}……
(iii) f:R→R given by f(x)= 𝑥 …………→
(i) f:R→R given by f(x)= 1
𝑥 --------→
1 1 1 1
4
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
Remark i) any answer for part( b) , score (1)
10)
P(n)=7𝑛 − 3𝑛 P(1)= 71 − 31 =4 →P(1) is true ------------------------------→ Assume that P(k) is divisible by 4
P(k) =7𝑘 − 3𝑘 is divisible by 4
7𝑘 − 3𝑘=4 𝑥
7𝑘 = 3𝑘 +4 𝑥 ------------------------→
P(k+1)= 7𝑘+1 − 3𝑘+1 --------------------------→
=7𝑘.7-3𝑘.3
=(3𝑘 +4 𝑥).7- 3𝑘.3
=7. 3𝑘 +28 𝑥-3𝑘.3
=4. 3𝑘+28 𝑥
=4(3𝑘 + 7 𝑥) ----------------------------→ Hence P(k+1) is true
𝑝(𝑛)𝑖𝑠 𝑡𝑟𝑢𝑒 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑛ɛ𝑧
Remark Idea of principle of mathematical induction, score(1)
1 1 1 1
4
11) i)
|𝑧|=r=2
arg(z)=𝜋
3
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
ii)
Z=r(Cosθ+iSinθ) --------------------------------→
=2(Cos 𝜋
3+iSin
𝜋
3)
=2(1
2+i
√3
2)
=1+i√3 -----------------------------------------→
√1 + √3i=x+iy
𝑥2-𝑦2=1, 2xy=√3 ----------------------------→ 𝑥2+𝑦2=2 ( solve these equations) 2𝑥2=3 𝑥2=3/2
X=±√3
2 ------------------------------------------→
Y=±√1
2 ----------------------------------------------→
√1 + √3𝑖 ==√3
2+ √
1
2i OR −√
3
2− √
1
2i ---→
Remarks i)part (ii) is correct using the complex number in part(i) , score (3)
(ii) Full score for correct x,y using equations ,score(3)
½ ½ 1 1/2 1/2 1
4
12)
2x+y≥4 points are (0,4) and (2,0)---------→ X+y≤3 points are (0,3) and (3,0)-----------→ 2x-3y≤6 points are (0,-2) and (3,0)---------→
1/2 1/2 1/2
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
13)
i)
Remarks
i) Incorrect shaded region with correct
lines, score(3𝟏
𝟐)
ii) Correct graph using any other points ,score (4)
(𝒙 +𝟏
𝒙)𝟔=6 𝒄𝟎𝒙𝟔+6 𝒄𝟏𝒙𝟓 𝟏
𝒙+6 𝒄𝟐𝒙𝟒 𝟏
𝒙𝟐+
6 𝒄𝟑𝒙𝟑 𝟏
𝒙𝟑 +6 𝒄𝟒𝒙𝟐 𝟏
𝒙𝟒 +6 𝒄𝟓𝒙𝟏 𝟏
𝒙𝟓+6 𝒄𝟔𝟏
𝒙𝟔
=𝒙𝟔 + 𝟔𝒙𝟒 + 𝟏𝟓𝒙𝟐 + 𝟐𝟎 +𝟏𝟓
𝒙𝟐 +𝟔
𝒙𝟒 +𝟏
𝒙𝟔
2𝟏
𝟐
1 1
4 4
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
ii)
(𝒙
𝟑+ 𝟗𝒚)𝟏𝟎
n=10 is even only one middle term -------→
term is (𝒏
𝟐+1) =6 th term ---------→
𝒕𝟔=10𝒄𝟓(𝒙
𝟑)𝟓(𝟗𝒚)𝟓
=252×𝒙𝟓
𝟑𝟓 ×𝟗𝟓 ×𝒚𝟓
= 61236 𝒙𝟓𝒚𝟓 --------→ Remark
i)𝒄𝒐𝒓𝒓𝒆𝒄𝒕 𝒆𝒙𝒑𝒂𝒏𝒔𝒊𝒐𝒏 𝒐𝒇 (𝒂 + 𝒃)𝟔 ,score (1)
ii)𝒕𝒓+𝟏 = 𝒏𝑪𝒓𝒂(𝒏−𝒓)𝒃𝒓 ,score (1)
iii)𝒄𝒐𝒓𝒓𝒆𝒄𝒕 𝒆𝒙𝒑𝒂𝒏𝒔𝒊𝒐𝒏 𝒐𝒇(𝒂 + 𝒃),𝒏 , 𝒔𝒄𝒐𝒓𝒆(𝟏
𝟐)
1/2 1/2 1
14 i)
Path traced by P is a circle Centre =(1,2)
Radius =√(𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2 --------→
=√(3 − 1)2 + (5 − 2)2
=√(2)2 + (3)2
=√4 + 9
=√13 --------→
Equation of circle (𝑥 − 𝑥1)2 + (𝑦 − 𝑦1)2=𝒓𝟐 --------→
(𝑥 − 1)2 + (𝑦 − 2)2=(√13)𝟐
(𝑥 − 1)2 + (𝑦 − 2)2=𝟏𝟑 --------→
1/2 1/2 1/2 1/2
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
ii) (a) b)
a=3 b=2
Equation of ellipse 𝒙𝟐
𝒃𝟐 +𝒚𝟐
𝒂𝟐 = 1 --------------→
𝒙𝟐
𝟐𝟐 +𝒚𝟐
𝟑𝟐 = 1
𝒙𝟐
𝟒+
𝒚𝟐
𝟗 = 1 ----------------------------→
𝒄𝟐 = 𝒂𝟐 - 𝒃𝟐 ------------------------→
=𝟑𝟐 - 𝟐𝟐=5
C =√𝟓 Foci =(0, ±𝒄)
=(𝟎, ± √𝟓) ------------------------→ Remark ii)If a=2 and b=3, score (1/2)
1/2 1/2 1/2 1/2
4
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
15 16
i) ii) i)(a)
Contra positive If a number is not divisible by 3 ,then it is not divisible by 9 ------------------------→
Let √5 is rational,
√5= 𝒂
𝒃 ,a and b have no common
factors ------------------------------→
√5b =a 5𝒃𝟐 =𝒂𝟐
a is divisible by 5 --------------→ a = 5c 𝒂𝟐=25𝒄𝟐 5𝒃𝟐=25𝒄𝟐 𝒃𝟐 =5𝒄𝟐 𝒃 𝒊𝒔 𝒅𝒊𝒗𝒊𝒔𝒃𝒍𝒆 𝒃𝒚 𝟓 ---------------→ 𝒂 𝒂𝒏𝒅 𝒃 𝒉𝒂𝒗𝒆 𝒄𝒐𝒎𝒎𝒐𝒏 𝒇𝒂𝒄𝒕𝒐𝒓𝒔 It contadicts our assumption
√5 is irrational
P(E orF)=P(EUF) =P(E)+P(F)-P(E∩F) -------------------→
1 1 1/2 1/2 1 1/2
4
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
17
(b) ii)(a) b) i)
= 𝟏
𝟒+
𝟏
𝟐−
𝟏
𝟖=
𝟓
𝟖 -----------------------------→
P(not E and not F) =P(E'∩ F') =P(EU F)ˡ =1-P(EUF) ---------------→
=1 - 𝟓
𝟖=
𝟑
𝟖 ----------→
n(s) = 4 𝒄𝟐=6 -------------------------------→ A = one man = one man and one woman = 2 𝒄𝟏x 2 𝒄𝟏=4
P(A) = 𝒏(𝑨)
𝒏(𝑺) =
𝟒
𝟔 =
𝟐
𝟑 --------------→
B= two men n(B) = 2 𝑪𝟐=1 -------------------------------→
P(B) = 𝒏(𝐵)
𝒏(𝑺)=
𝟏
𝟔 -----------------------→
Remarks i)P(EUF) =P(E)+P(F)-P(E∩F), score (½) ii)P(not E and not F) = P(E'∩ F'), score(1/2)
iii)P(A) =𝒏(𝑨)
𝒏(𝑺) score (1/2)
𝐭𝐚𝐧 𝐱 =-5/12 cot x = -12/5 Sin x= 5/13 cosec x =13/5 ------→ Cos x= -12/13 sec x = -13/12
1/2 1/2 1/2 1/2 1/2 1/2 1/2 2
4
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
18
ii) iii) i) ii)(a)
Remark Four correct values, score (2)
tan x= ¾ 𝐬𝐢𝐧 𝐱+𝐜𝐨𝐬 𝐱
𝐬𝐢𝐧 𝐱−𝐜𝐨𝐬 𝐱 =
𝐭𝐚𝐧 𝐱+𝟏
𝐭𝐚𝐧 𝐱−𝟏 (dividing by cos x)
= 𝟑
𝟒 +𝟏
𝟑
𝟒 −𝟏
= 𝟕
𝟒
−𝟏
𝟒 =-7----------→
𝐬𝐢𝐧 𝟓𝐱+𝐬𝐢𝐧𝟑𝐱
𝐜𝐨𝐬𝟓 𝐱+𝐜𝐨𝐬 𝟑𝐱 =
𝟐𝐬𝐢𝐧𝟒𝐱𝐜𝐨𝐬𝐱
𝟐𝐜𝐨𝐬𝟒𝐱 𝐜𝐨𝐬𝐱 =
𝒔𝒊𝒏𝟒𝒙
𝒄𝒐𝒔𝟒𝒙=tan4x
Remarks
i) sinx+siny=2sin(𝒙+𝒚
𝟐)𝒄𝒐𝒔 (
𝒙−𝒚
𝟐), score(1/2)
ii) cosx+cosy=2cos(𝒙+𝒚
𝟐) 𝒄𝒐𝒔 (
𝒙−𝒚
𝟐),
score(1/2) D=1 ,A=1 ,U=1 ,G=1 ,H=1, T=1, E=1, R=1 Vowels=A,E,U Vowels=3 Consonants = 5 Vowels together No of words = 6! X 3! = 4320 -----→ Remarks Any method with correct answer, score (2) No of ways of choosing 4 cards from 52 cards = 52 𝑪𝟒 ------------------------------------→ = 270725
1 1 2 2 1
6
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
19
(b) (c) (d) i)
4 cards are same suite = 13 𝑪𝟒 + 13 𝑪𝟒 + 13 𝑪𝟒 + 13 𝑪𝟒 --------→ = 2860 4 cards are different suite =13 𝑪𝟏x 13 𝑪𝟏x13 𝑪𝟏x13 𝑪𝟏 ----------→
=𝟏𝟑𝟒 2 red and 2 black =26 𝑪𝟐 x26 𝑪𝟐 ----------→ = 105625 Remarks i)correct expansion of n 𝑷𝒓, score(1/2) ii) correct expansion of n 𝑪𝒓, score (1/2)
iii)expansion of 52 𝑪𝟒, 13 𝑪𝟒 etc are not necessary Midpoint of AB =(3,2) ---------------------→ Slope of AB = -1 -------------------------------→ Slope of perpendicular line to AB = 1 Equation of perpendicular line is y-2=1(x-3) → x-y-1=0 or x-y=1 -------------------------→ Remarks
i)midpoint =( 𝒙𝟏+𝒙𝟐
𝟐 ,
𝒚𝟏+𝒚𝟐
𝟐), score(1/2)
ii) slope = 𝒚𝟐−𝒚𝟏
𝒙𝟐−𝒙𝟏 ,score(1/2)
iii) 𝒎𝟏 𝑿 𝒎𝟐 = -1, score (1/2)
1 1 1 1/2 1/2 1
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ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
ii) iii)
iv) 𝒚 − 𝒚𝟏 =m (𝒙 − 𝒙𝟏) ,score (1/2) C = (x,0) -----------------------------------→ Given AC =BC
√(𝒙 − 𝟐)𝟐 + (𝟎 − 𝟑)𝟐 = √(𝒙 − 𝟒)𝟐 + (𝟎 − 𝟏)𝟐
𝒙𝟐 -4x+4+9 =𝒙𝟐-8x+16+1 4x =4 X = 1 Point C =(1,0) -------------------→ Remarks Distance formula, score (1/2) 𝒙𝟏 = 2, 𝒚𝟏 = 3, 𝒙𝟐 = 4, 𝒚𝟐 = 1 𝒙𝟑 =1, 𝒚𝟑 = 0 Area =1/2[𝒙𝟏(𝒚𝟐 − 𝒚𝟑 ) +𝒙𝟐(𝒚𝟑 − 𝒚𝟏)+ 𝒙𝟑(𝒚𝟏 − 𝒚𝟐]
=1/2[2(1-0)+4(0-3)+1(3-1)] = ½[2-12+2] = ½[-8] =-4----------------------------------→ Area =4 sq.unit ----------------------------→ Remarks Any method area =4 ,score (2)
1/2 1/2 1 1 1/2 ½
6
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
20 i) ii) iii)
class f x 𝒙𝟐 f.x f. 𝒙𝟐
30-40 3 35 1225 105 3675
40-50 7 45 2025 315 14175
50-60 12 55 3025 660 36300
60-70 15 65 4225 975 63375
70-80 8 75 5625 600 45000
80-90 3 85 7225 255 21675 90-100 2 95 9025 190 18050
50 3100 202250
Mean= ∑ 𝒇.𝒙
∑ 𝒇 -------------------------------------→
=3100/50 =62 --------------→
Varience = ∑ 𝒇.𝒙𝟐
∑ 𝒇 -(
∑ 𝒇.𝒙
∑ 𝒇)𝟐 -----------------→
= 𝟐𝟎𝟐𝟐𝟓𝟎
𝟓𝟎 - (𝟔𝟐)𝟐
=4045-3844=201 ---------------→
Coefficient of variation = 𝝈𝒙�̅�
x 100 ----→
=√201
𝟔𝟐 x100
=22.85 ---------=-→ Remarks i)correct table ,score(2) ii)correct formula of mean , score (1)
1 1 1 1 1 1
ANSWER KEY FIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020 MATHEMATICS (SCIENCE)
iii)Correct formula of varience, score (1) iv)Formula for c.v, score (1)
N.B: Any alternate method is allowed and if the answer is correct ,give full score for that particular question. For more details please contact: 1)LETHA.K (HSST SANTHA HSS AVANOOR THRISSUR, Ph:9447972692) 2) SANALKUMAR.V.P(HSST EVHSS NEDUVATHOOR KOLLAM:Ph:9446852271)
ANSWER KEY
FIRST YEAR HIGHER SECONDARY EXAMINATION 2020-21
HOME SCIENCE
Qn.No Scoring Indicators Split score
Total Score
1 2 3 4 5 6
PART -A c.Anorexia Nervosa a.Babbling c.Educable b.Tetanus a.Gout b.Haemophilia
A B C Measles Rashes spread to the body MMR Polio Crippling disease OPV Pertussis Rapid coughing Pentavalent
1 1 1 1 1 1 1 1 1
1 1 1 1 2 3
7 8 9 10 11 12 13 14
Family and Community Resource Management OR Resource Management a.Hue b.Lightness or darkness Money or Material goods or community facilities (Any one valid point from the above can be scored) PART-B a)Monochromatic color harmony b)Analogous color harmony (With explanation can be scored)
Individuals feels bored because of uninteresting ,monotonous and
undesirable work or working conditions. It often results because of boredom or frustration.
(Any points related to psychological fatigue can also be scored)
a)Changes in size b)Changes in proportion c)Disappearence of old features and acquisition of new features. (Any 2 valid points from the above can be scored) Creative play:Child makes new things with his own ideas. Imaginative play:The child acts as someone else or as an animal (Any other valid points can also be scored) Breast milk contains immunity factors ‘colustrum’ protect the new born
from infections.
1 1 1 1 1 1 1 1 1 1 1 1 1
1 2 1 2 2 2 2
15 16 17 18 19 20 21 22 23 24
It is an ideal food for the infants as it provides the needed nutrients in the right proportions. (Any other valid points can also be scored)
a)Identifying the problem b)Obtaining information and formulating the possible course of action c)Evaluating the consequences of each alternative d)Selecting the best possible course of action. (Any two points from the above can be scored) It serves as a financial guide for the family It serves as a time record for meeting our future needs
(Any other two valid points can also be scored)
Visual acuity: Ability of the eye to see the distant objects clearly Visual efficiency: How well one can use one’s vision. Scale: Relative size of an object Proportion: It is the relationship of the parts of the same object. PART-C a)Authoritarian disciplinary techniques b)Permissive disciplinary techniques c)Democratic disciplinary techniques (With explanation can be scored) This act is applicable for both goods and services Consumer redressal forum There is no fee for lodging a complaint
(Any other valid points can also be scored)
a)Goods and services provided by using money b)Fringe benefits c)Barter system (With explanation can be scored) -Responsibility as a good parent -Responsibility towards other family members -Responsibility towards the living society (With explanation can be scored) It provides attraction to the product It is safe against breakage Easy to carry. (Any other valid points can also be scored) -Ego centrism -Animism
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 3 3 3 3 3
25 26 27 28 29 30
-Irreversibility -Centration -Conservation (Any valid three points with explanation can be scored) -Poverty -Relatively large family size - Ignorance of parents -Orphanage,abandoned or rejected children. (Any three valid points with explanation can be scored) -Sense of identity -Self concept -Self esteem (With explanation can be scored) Test blood for HIV before blood transfusion Ensure the use of disposable needles Sterile instruments in hospitals. (Any other valid points can also be scored) PART-D -Primary colors -Secondary colors -Intermediate colors.(With illustration can be scored) Causes: -curiosity -parental modeling -escape from problems.(Any other valid points with explanation can also be scored) Consequences -academic -physical health -mental health.(Any other valid points with explanation can also be scored) -ISI mark -AGMARK -FPO -Eco Mark -Wool Mark -Silk Mark -100% vegetarian Mark (Any 3 points with explanation or any 6 points can be scored)
1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 2 2 2
3 3 3 3 6 6 6
Sangeetha O C, mob:- 9497609835
Pratheetha Pradyoth R S, mob:- 9447863447
Answer KeyFIRST YEAR HIGHER SECONDARY EXAMINATION MARCH 2020
PART III - COMPUTER SCIENCEFY-30 TIME: 2Hrs 15Mins(Including Cool off time)
Qn. No.Sub Qn.
Answer Key/ Value PointsSplitScore
TotalScore
Answer any 5 questions from 1 to 6. Each carries 1 score. (5 X 1 = 5)1 11 - 12 hardware - 13 Debugging - 14 Tokens - 15 stdio.h/cstdio - 16 strcat - 1
Answer any 9 questions from 7 to 18. Each carries 2 scores. (9 X 2 = 18)7 Block diagram with all four units Input, Output, Memory, CPU - 2
8
(A+B)’=A’.B’(AB)’=A’+B’ (Statement of Theorms in sentence is also enough)('Break the line change the sign' can be given 1 score)Complement of sum of boolean variables is equal to the product of their individual complementsComplement of products of boolean variables is equal to the sum of their individual complements
1+1 2
9 Accumulator, MAR,MBR, PC,IR(Any 4) ½ X 4 2
10
Any 2 correct points about eachEntry Controlled Loop : Test expression/ Condition is evaluated before the loop execution. If test expression evaluates to false the body will not be executed (Minimum number of execution is zero). Eg. for / while loopExit Controlled Loop : Test expression/ Condition is evaluated after the execution of loop body. Minimum number of execution is one, Eg. do -- while loop
1+1 2
11
Any 2 correct rulesThe rules for constructing identifiers are as follows:→ Arbitrary long sequence of letters digits and underscores→ The first character must be a letter or underscore→ White space and special characters are not allowed→ Keywords cannot be used as identifiers→ Upper and lowercase letters are treated differently.
1+1 2
12AND, OR, NOT (Any 2 with symbols)(Listing of operators can be given 1½ Score).,+,!,&&,||,logic gates can also be considered for symbols
1+1 2
13C++ converts lower sized operands to higher sized operands (Implicit type) /Correct Example(Concept of type conversion or casting can be given 1 score)
- 2
14Correct syntaxOr Initialisation, condition(test expression), updation, body of the loop
½ X 4 2
15 Any 2 correct points about each ½ X 4 2
16 abs(), pow(), trunc(), sqrt(), floor(), sin(),cos(),...(Any 4) ½ X 4 2
17Fibre To The HomeSpeed, Low decay, Less Noise, High Bandwidth(Any 2)
1½ + ½
2
18Search engine websites are special programs that are designed to help peopleto find information available in wwwGoogle, Bing, Yahoo Search, Ask (Any valid One can be considered)
11
2
Answer any 9 questions from 19 to 30. Each carries 3 scores. (9 X 3 = 27)19 2 Correct points about each generation(Any 3 Generations) 1+1+1 3
20
NAND, NOR (gate which can implement any boolean function without using any other gate type can be given full score)Symbol of NAND, NORor Truth Table of NAND, NOR
½ + ½
2
3
21 a (28)10(Give 1/2 Score if method is correct) 1
3b (11101010)2 (Give 1/2 Score if method is correct) 1
c (4D2)16 (Give 1/2 Score if method is correct) 1
22Correct Flowchart(Any 4 different symbols can be given ½ score each)
3 3
23A token which represents data items which never changes its value during program execution. / constants Integer, float character and string (½ score each) or any two with explanation
1
2
3
24
Role of comment-Internal documentation or used to describe about a programSingle Line format- (// .......)Multi line format( /* ... */)
111
3
25Correct Algorithm/Program segment of bubble sort(Explanation with example can be given 1½ Scores)
3 3
26
2 Correct points about eachPut() - to display a character put() accepts only one argumentWrite() accepts 2 argumentswrite() to display a string Both are stream output functions / used along with cout - 1Score
1½
1½ 3
27 Any 3 merits 1+1+1 3
28
Call by value, Call by reference(Address) Any one point about eachCall by value method: Ordinary variables are used as formal parameters. Actual parameters may be constants variables or expressions. The changes made in the formal arguments are not reflected in actual arguments. Exclusive memory allocation is required for the formal arguments.Call by reference method: Reference variables are used as formal parameters. Actual parameters will be variable only. The changes made in the formal arguments are reflected in actual arguments. Memory of actual arguments is shared by formal arguments
½ + ½ 1 + 1
3
29Exact needs (Any 3)(The main advantages of using network computers are Resource sharing, price performance ratio, Communication, Reliability, Scalability)
1+1+1 3
30 Any 3 advantages 1+1+1 3Answer any 2 questions from 31 to 33. Each carries 5 scores. (2 X 5 = 10)
31 a Correct Comparison (Any 2 points each for RAM and ROM) 1+15
b Listing 3 devices (1½ Score) with one point each for a device(1½ Score) ½ X 6
32 a Any 2 difference between 'break' and 'continue' 1+1
5b ?: , its exact use/example 1+1
c Correct example 1
33 a Correct Answer 1
5
b Correct Answer 1
c Correct Answer 1
d Correct Answer 1
e Correct Answer 1
1Bindu Mary Mathews, St. Thomas HSS(03022), Kozhencherry, Pathanamthitta
2 Sreelal R, V V H S S, Thamarakulam, Alappuzha 4042
3NISHANTH N , HSS SREEKRISHNAPURAM(09048), PALAKKAD 9447962552
4THOMAS T PALAKADEN, SJHSS KARIMANNOOR(06019), IDUKKI . 9447523150
5 Binod T P, RVHSS, Chokli ( 13053), Kannur. 9349770595
6MENOUP T, Tharakan HSS Angadippuram(11231), Malappuram 9895141676
7 Roy John, St. Aloysius H S S, Elthuruth (08075), Thrissur, Ph: 88483577388 Vinayachandran C, V G S S Ambikodayam H S S, KollamPh: 9447590544