SOLVED QUESTION PAPER

ENVIRONMENTAL EDUCATION

(Two Hours)

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SECTION A (40 Marks)
Attempt all questions from this Section

Question 1

(a) Write the full forms of FPO and ISI.

[2]

(b) Name any two factors that have polluted River Ganga.

[2]

(c) Mention any two effects of soil erosion.

[2]

(d) State two objectives of the 3P Programme.

[2]

(e) What are the indirect effects of ozone layer depletion?

[2]

Question 2

(a) Name two eco-friendly bleaching agents.

[2]

(b) What is biofiltration?

[2]

(c) What is Eutrophication?

[2]

(d) Define Biodiversity.

[2]

(e) Mention two objectives of agro-forestry.

[2]

Question 3

(a) Name the sacred groves in Karnataka and Kerala.

[2]

(b) State two principles of community participation.

[2]

(c) Mention two natural causes of climate change.

[2]

(d) Define vulnerable species.

[2]

(e) Write two advantages of microbial enzymes.

[2]

Question 4

(a) Mention two objectives of the Prevention of Cruelty to Animals Act (1960).

[2]

(b) Name any two non-renewable resources.

[2]

(c) In which state is the village of Sukhomajri located? Name the person who brought about the revival of this village.

[2]

(d) Name two consumer rights as provided in the Consumer Protection Act (1986).

[2]

(e) Mention two challenges in the conservation of marine resources.

[2]

SECTION B (40 Marks)

Attempt any four questions from this Section

Question 5

(a) Mention four precautions which must be taken during the occurrence of a tsunami.

[4]

(b) Mention six causes of low agricultural productivity in India.

[6]

Question 6

(a) 'Global warming may have disastrous consequences in store for humanity'. Discuss some ways in which the emission of greenhouse gases can be decreased.

[4]

(b) Write short notes on:- (i) Quantitative pollutants

[3]

(ii) Qualitative pollutants.

[3]

Question 7

(a) Suggest four measures for forest conservation.

[4]

(b) Mention six human sources of water pollution.

[6]

Question 8

(a) Mention two advantages and two disadvantages of using coal as a source of power.

[4]

(b) Briefly explain the following:- (i) Legislation related to noise pollution in India.

[3]

(ii) The health hazards of food adulterants.

[3]

Question 9

(a) What are the primary practices followed in watershed management?

[4]

(b) The occurrence of fires in buildings can prove to be extremely destructive. In this context, mention six precautions to prevent fires in buildings.

[6]

Question 10

(a) Describe briefly the characteristics of sustainability.

[4]

(b) The presently-occurring exploitative utilisation of resources may be fatal for mankind in the long-run. In this context, mention six effects of such extensive use of resources.   [6] Answers SECTION A (40 Marks) Attempt all questions from this Section MODEL ANSWER: Fruit Product Order. (1) Indian Standards Institute. (1) [2] MODEL ANSWER: Industrial effluents, municipal wastes, bathing / washing. (any two) (1 + 1) [2] MODEL ANSWER: (any two) (1 + 1) 1. Loss of soil fertility - Soil erosion has an immediate adverse impact on soil fertility and quality. 2. Loss of nutrient content - Soil erosion leads to the removal of the top soil, thus decreasing the valuable nutrient content of the soil. 3. Loss of productivity - Soil erosion decreases the valuable mineral content of the soil, in-turn decreasing the crop yield. 4. Loss of natural vegetation - Soil erosion by agents like wind and water destroys grasses, etc. 5. Floods - Soil erosion also leads to the deposition of debris on river beds, thus causing floods. [2] MODEL ANSWER:  1. To shift the focus from waste disposal at the end of the manufacturing process. (1) 2. To prevent pollution at the selection and utilisation of raw materials. (1) [2] MODEL ANSWER: (any two) (1 + 1) 1. Aquatic ecosystem - With ozone layer depletion, increasing concentrations of ultraviolet rays can severely upset the ecological balance in the aquatic ecosystem. 2. Plants - Plants exposed to ultraviolet radiation may suffer from stunted growth due to decreasing chlorophyll content. 3. Vegetables - Several vegetables are extremely sensitive to ultraviolet radiation. 4. Complex chemical substances - The physical and chemical properties of complex chemical substances may be damaged by increased exposure to ultraviolet radiation. [2] MODEL ANSWER: Oxygen (1), peroxide (1). [2] MODEL ANSWER: Biofiltration may be defined as a new technology which helps in purifying contaminated air (1) with the help of microorganisms (1). [2] MODEL ANSWER: Eutrophication may be defined as the process due to which the oxygen content of water bodies decreases (1) because of natural or man-made factors(1). [2] MODEL ANSWER: Biodiversity may be defined as the collective abundance of various species of flora and fauna (1) in the natural environment of a particular region or country (1). [2] MODEL ANSWER: (any two) (1 + 1) 1. To make the best possible use of the available resources. 2. To prevent soil erosion, and hence enhance soil fertility. 3. To decrease pressure on the natural forest resources. 4. To promote the maintenance of an ecological balance. [2] MODEL ANSWER: Devara Kadus. (1) Kavus. (1) [2] MODEL ANSWER: (any two) (1 + 1) 1. Primary architects - People are the primary architects of development projects. 2. Development of skills - They must develop their skills and talents through such participation. 3. Educational training - They must be provided educational training to combat any situation. 4. Empowerment - They must be empowered to determine their own future prospects.  5. Controlling fate - They must also attain the ability to control their own fate. 6. Expertise - They have the knowledge and expertise to efficiently handle any such development project. 7. Community effort - The community effort must be utilised as a whole.  [2] MODEL ANSWER: Volcanic eruptions, Continental Drift, ocean currents, the Earth's tilt. (any two) (1 + 1) [2] MODEL ANSWER: Vulnerable species may be defined as those species whose number is yet abundant, but their home range has already been adversely affected (1),and so they may become endangered if the same adverse factors continue to operate (1). [2] MODEL ANSWER: 1. Economical - Microbial enzymes can be produce on a large scale within a limited period of time, thus being very economical. (1) 2. Technical advantages - They have various technical advantages; microorganisms can produce a great variety of enzymes / they can thrive in a large range of environmental conditions / they have genetic flexibility, and thus can be manipulated to obtain a higher yield. (1) [2] MODEL ANSWER: (any two) (1 + 1) 1. Unnecessary pain - To prevent the infliction of unnecessary pain or suffering on animals. 2. Promote conservation - To promote the protection and conservation of animal species. 3. Ensuring Welfare - To take every possible measure for ensuring the welfare of animals. 4. Animal Welfare Board - To establish the Animal Welfare Board with a Chairman, a Secretary and other members. [2] MODEL ANSWER: Coal, petroleum, natural gas, nuclear fuels. (any two) (1 + 1) [2] MODEL ANSWER: Haryana. (1) P.R. Mishra. (1) [2] MODEL ANSWER: (any two) (1 + 1) 1. Right to Safety. 2. Right to a Healthy Environment. 3. Right to Basic Needs. 4. Right to be Informed. 5. Right to Choose. 6. Right to be Heard. 7. Right to Seek Redressal. 8. Right to Consumer Education. 9. Right to Boycott.  [2] MODEL ANSWER:  1. The international characteristic of marine resources, thus implying an equal right of all countries for their utilisation. (1) 2. The high mobility of marine organisms. (1) [2] SECTION B (40 Marks) Attempt any four questions from this Section MODEL ANSWER: (any four) (1 x 4) 1. Safer region - The entire family must move out to a safer region as soon as a tsunami warning is declared. 2. Upper floors - Residents staying on the ground floor of multi-storey buildings must immediately move to the upper floors. 3. Low-lying regions - Rivers that lead to low-lying regions must be avoided. 4. Disaster supply kit - A disaster supply kit must be carried along in case of such an emergency. 5. Obtaining information - A local television or radio channel must be used to obtain up-to-date information regarding the disaster. [4] MODEL ANSWER: (any six) (1 x 6) 1. Shifting agriculture - Shifting agriculture (jhumming) not only degrades the forests, but also makes the land barren and susceptible to further soil erosion, thus decreasing crop yield. 2. Subsistence agriculture - Subsistence agriculture implies that the farm produce is barely sufficient to sustain the farmer and his family, thus decreasing overall productivity. 3. Low soil fertility - Overexploitation of soil resources to obtain high productivity leads to a massive decrease in soil fertility, eventually resulting in low productivity. 4. Salinisation - Salinisation causes an excessive accumulation of salt in the soil, rendering it infertile. 5. Uneconomical landholdings - Modern agricultural landholdings are rather small and uneconomical for cultivation. 6. Overdependence on rainfall - The overdependence on rainfall for agriculture implies extremely low productivity during monsoon failures. 7. Lack of modern technology - The impoverished farmers are unable to purchase scientific farming equipment, thus decreasing agricultural efficiency and in-turn productivity.   8. Tenancy practice - Cultivating land for their landlords makes individual farmers lose interest in actual agricultural productivity.  [6] MODEL ANSWER: 1. Afforestation - Deforestation must give way to continual afforestation programmes. (1) 2. Alternative fuels - The use of fossil fuels must also give way to the use of alternative fuels like biogas and solar energy. (1) 3. Biofertilisers and biopesticides - Instead of using nitrogenous fertilisers and pesticides, biofertilisers and biopesticides must be used. (1) 4. Helping the developing countries - The developed countries must financially help the developing countries in the implementation of these measures. (1) [4] MODEL ANSWER: 1. Definition - Quantitative pollutants may be defined as chemical substances that exist in nature (1), but when their concentration (quantity) increases to a critical level, they act as pollutants (1). 2. Examples - Carbon dioxide and nitrogen oxides are good examples of quantitative pollutants. (1) [3] MODEL ANSWER:  1. Definition - Qualitative pollutants may be defined as chemical substances that do not exist in nature (1), but are introduced into the environment through human activities(1). 2. Examples - Chemical fertilisers and pesticides are good examples of quantitative pollutants. (1) [3] MODEL ANSWER: (any four) (1 x 4) 1. Checking deforestation - Indiscriminate felling of trees without permission must be checked. 2. Promoting afforestation - Deforestation must give way to continual afforestation programmes to increase forest cover. 3. Implementation of legislation - Strict laws must not only be made, but also implemented in their entirety. 4. Alternative fuels - The use of forest fuels like charcoal and firewood must also give way to the use of alternative fuels like biogas and solar energy. 5. Migration of wild animals - Broad corridors must be constructed between various protected forests to provide for the migration of wild animals. 6. Community participation - The local people must actively participate and promote the conservation of forests. [4] MODEL ANSWER: 1. Domestic waste - Domestic waste like household detergents and sewage severely pollute water resources. (1) 2. Industrial waste - Industrial waste includes toxic chemical substances and other effluents, which cause irreparable damage to water. (1) 3. Radioactive waste - Nuclear power plants emit hazardous radioactive materials during nuclear tests, etc. (1) 4. Thermal pollution - Thermal power plants release recycled hot water into water bodies, resulting in the thermal pollution of water. (1) 5. Offshore oil drilling - Exploration processes in search of oil and gas beneath the seabed poses vivid threats to aquatic ecosystems. (1) 6. Oil spills - When crude oil is being transported across water bodies like oceans inoil tankers, it occasionally unintentionally spills into the water because of a leakage or an accident, resulting in the degradation of the aquatic ecosystem. (1) [6] MODEL ANSWER: Advantages - 1. Convertability - Coal can be converted into other forms like oil and gas. (1) 2. Steam generation - It can be used in iron and steel industries as well as in steam generation. (1) Disadvantages - 1. Global warming - When coal is burnt, it emits carbon dioxide, a greenhouse gas which causes global warming. (1) 2. Contains impurities - Coal contains impurities like sulphur and nitrogen, whose toxic oxides are emitted when coal is burnt. (1) [4] MODEL ANSWER: (any three) (1 x 3) 1. Committee - The Central Pollution Control Board (CPCB) established a Committee on Noise Pollution Control. 2. Licence for loudspeakers - Loudspeakers must be used only after obtaining a licence and only during acceptable times. 3. Reducing bursting of crackers - Bursting of crackers must be reduced and is permitted only during festivals. 4. Acoustic barriers- Acoustic barriers must be present around construction activities, andthe noise level in such areas must not be too high. [3] MODEL ANSWER: (any three) (1 x 3) 1. Decrease in haemoglobin content as well as in Red Blood Corpuscles (RBC) content. 2. Carcinogenic (cancer-causing) effect on various parts of the body. 3. Mutagenic effect on various parts of the body leading to abnormal growth and development. 4. Eye defects which could result in permanent blindness. 5. Induced sterility and reduced fertility. 6. Foetal damage which could prove fatal. 7. Allergies of various kinds.  [3] MODEL ANSWER: (any four) (1 x 4) 1. Decreasing soil erosion - Better farming techniques like bunding and terracing must be used to decrease soil erosion on the steep watershed slopes. 2. Afforestation - Afforestation and horticulture must be promoted on non-arable land to decrease loss of water by surface runoff. 3. Water harvesting - Water must be carefully stored for later use in dry seasons. 4. Mining - Mining and quarrying processes make the hill slopes unstable and prone to soil erosion. 5. Community participation - The local people must actively participate and promote the conservation of water resources as well as forest resources. [4] MODEL ANSWER: (any six) (1 x 6) 1. Electrical appliances - When leaving the house, all electrical appliances and gas appliances must be shut off. 2. Inflammable liquid materials - Inflammable liquid materials must not be kept in the house. 3. Cigarettes - It must be ensured that all used cigarettes are carefully and completely extinguished. 4. Lighters - Lighters and matchsticks must be kept out of the reach of children. 5. Fire extinguisher - A fire extinguisher must be kept in a convenient location in the building. 6. Technical know-how - All residents must be given technical know-how regarding the use of fire safety gadgets like fire extinguishers. 7. Water tanks - It must also be ensured that there are small containers like tanks filled with water in the house to help in case of a fire. [6] MODEL ANSWER: (any four) (1 x 4) 1. Adaptability - We must quickly learn to adapt to our rapidly-changing environment by adopting eco-friendly measures. 2. Substitution - We must start substituting the use of non-renewable resources by the use of renewable resources. 3. Renewability - We must utilise renewable resources in such a way that the rate of utilisation is lower than the rate of regeneration. 4. Interdependence - We have to recognise the interdependence among communities and countries as the environment is related to the Earth as a whole. 5. Institutional commitment - We must ensure that not only individuals, but also institutions support the cause of the sustainable utilisation of resources to achieve sustainable development. [4] MODEL ANSWER: (any six) (1 x 6) 1. Rapid deterioration in the quality of air, water and soil resources. 2. Increasing deforestation causing a significant decrease in the floral and faunal populations. 3. Unplanned urbanisation resulting in an uncontrollable increase in the number of urban slum regions. 4. Mass migration due to population pressure and resulting unemployment. 5. Increasing occurrences of droughts and floods. 6. A decrease in the underground water table levels. 7. Desertification and waterlogging resulting in massive land spoilage. [6]

ICSE MATHEMATICS MODEL PAPER 5

ICSE MATHEMATICS MODEL PAPER 5
Answer all quetions in Section A and any four question from Section B. You will NOT be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. All working, including rough work, must be clearly shown and must be done on the same sheet as the right of the answer. Omission of essential working wilresult in loss of marks . Time: 21/2 Hours] (max. Marks : 80)
SECTION - A [40 Marks] Answer ALL questions in this Section
1.	A sum of Rs. 69,300 is to be divided between two boys A and B, 21 and 22 years old respectively, in such away that, if their portions be invested at 10% per annum compound interest; they shall receive equal amounts on reaching 24 years of age. i) What is the share of each in the money ? ii) What will each receive, when 24 years old              (3 marks)
2.	a)A triangle whose area is 12 square cm is transformed under enlarged about a point in space.The area of its image is 108 cm2 Find the scale factor of enlargement. b)If a matrix has 12 elements what are the possible order it can have c)Construct  a 3X4matrix  whose elements are aij=i+j                               (   5 marks
3.	Find the allitude of a right cirular cone ,diameter of this cone is 1.5  times of radious of sphere and this circularcone is inscribedin a sphere of  radious r      (4marks)
4.	Points A (O, - 4) & B (O, 2) are invariant under reflection in line L1 points C (2,0 ) & D ( -3, o) are invariant under reflection in line L2. i ) Name & write the equations of the lines L1 & L2. i i ) Name & write co-ordinates of the point which is invariant under reflection in both the lines L1 & L2 iii) Reflect A in the line y=x & write the co-ordinates of the inage A1. iv) Reflect B in y=x & write co-ordinates of B1 the image. v) Name figure so formed by joining AB A1 B1 vi ) Does it have any line symmetry. If yes, then draw & state how many.      ( 6 marks)
5.	Complete the above given figure in such a way that, both the x-axis and y-axis are lines of symmetry. (3marks)
6.	Solve the following equations graphically : x - y =  -1 ; 2x - 3y = 1. Measure and note the distance of the point of intersection from the origin Verify your answer in (ii) above with a proof.        ( 3marks)
7.	a)Evaluate the following (without using tables) 2 cos 67°     -      tan 40°       -      sin 90°     sin 23°              cot 50°         b)Prove that (1 + cotq - cosecq)(1 + tanq + secq) = 2. c)The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m - 1 and median q. Find p and q.                     ( 6 marks)
8.	Radius of a circle is 20m. By drawing three concentric circles inside this circle, its area is divided into 4 equal parts. Find the radius of each of the new circles drawn ( = 3.14)                                          (   3 marks)
9.	In the adjoining figure, O is the center of a circle. Chord CD is parallel to the diameter AB. If РABC = 25o, calculate Ð CED. (3marks)
10.	A set of rectangles is such that each rectangle has a width of 5 cm.The lengths vary and are represented by x cm, where x Î R. The largest rectangle has an area of 25 cm2 . Define completely the relation between the area A of the rectangle and its length x State the domain of the relation State the range of the relation Is the relation a function.                     ( 4 marks)
SECTION - B [40 Marks] Answer any FOUR questions in this section
11a	A page from a saving bank passbook for the year 2000 is given below. Calculate the interest at the end of the year at the rate of 5% p.a. Date Particulars Amount withdrawn Rs. P. Amount deposited Rs. P. Balance Rs. P.           2000         Jan 1 By balance – 1,120.00 1,120.00 11 By cash –    800.00 1,920.00 Feb 2 To cheque 300.00 – 1,620.00 Mar 10 By cash – 1,400.00 3,020.00 June 28 To cheque 500.00 – 2,520.00 Sept 5 By cash –    480.00 3,000.00 Dec 13 By cash – 1,200.00 4,200.00
11b	A man invests Rs. 48000 in 20% Rs.100 shares at Rs. 120. When the shares rise to Rs. 140 he sells enough shares to purchase a washing machine for Rs. 7000. Find (a) his original number of shares (b) Shares remaining (c) original annual income.
12a. b	A circle with centre O. AB and CD are two parallel chords on the same side of the centre. If the radius of the circle is 65 cm and the length of the chords are 112 cm and 126 cm respectively, find area of rectangle ABCD.
	A rectangular block of granite, 1 m x 4 m leans against a vertical wall forming an angle of 300 with the horizontal as shown in the figure. Find the height of the highest point of the block from the ground.
13a b c	The number of match sticks in 40 boxes, on counting was found as given below : 44 41 42 43 47 50 51 49 43 42 40 42 44 45 49 42 46 49 45 49 45 47 48 43 43 44 48 43 46 50 43 52 46 49 52 51 47 43 43 45 Taking classes 40 - 41, 42 - 43, etc, construct the frequency distribution table for the above data. Draw a histogram to represent the above distribution.
	The length of a line AB is 10 units. If the coordinates of A are (0, -1) find the coordinates of point B if its abscissa is 12.
	Mrs. Basu paid Rs 650 for a locket including sales tax at 4%. What was the list price of the locket?   (Marks 2)
14a b	A cone with base radius 15 cm and height 8 cm is inverted and filled to the brim with water. Spherical steel balls each of radius 0.5 cm are dropped into the water. It is found that one-fourth of the water flows out. Find the quantity of steel balls dropped into the water.
	If the bisector of an angle of a triangle bisects the opposite side,prove that the triangle is isosceles.
15a	Given  f(x) = x3 + ax2 + bx + c. When f(x) is divided by (x + 2), the remainder is 8; (x+ 1) is a factor of f(x) and f(0) = - a. Find the expression and hence factorise it completely
	Miss Shubh Lakshmi is a bank employee. She gets Rs 8200 per month as salary. She contributes Rs 350 per month towards provident fund and pays Rs 1200 annually as LIC premium. If she deposits Rs 3000 in 10 years CTD account of post office, calculate her taxable income and the income tax to be paid by her for the assessment year 2000-2001. Assume the following rates:                                              (   5 marks) a) Standard deduction: 1/3rd of total income subject to a maximum of Rs. 20,000. (Rs. 25,000 if income is less than Rs. 1 lakh.) b) Rate of tax SLAB i) Up to Rs. 50,000 ii) from Rs. 50,001 to Rs. 60,000 iii) from Rs. 60,001 to Rs. 1,50,000 iv) from Rs. 1,50,001 onwards INCOME - TAX Nil (10% of the amount exceeding Rs. 50,000) Rs. 1,000 + 20% of the amount exceeding Rs. 60,000 Rs. 19,000 + 30% of the amount exceeding Rs. 1,50,000 c) Rebate in tax 20% of the total savings subject to a maximum of Rs. 12,000 d) Surcharge 10% of the tax payable
16a b	the adjoining figure, РPQR = Ð PRS. Prove that the triangles PQR and PRS are similar. If PR = 8 cm, PS = 4 cm, calculate PQ.
	For the following frequency distribution, calculate (i) the mean; (ii) the median; (iii) the mode : Class Frequency 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 2 7 18 10 8 5
17a b	In the adjoining figure, chords AB and CD of a circle intersect at E.Prove that the triangles ADE and CBE are similar Given that DC = 12 cm, DE = 4 cm and AE = 16 cm, calculate BE.
	If x/a = y/b = z/c, prove that

ICSE MATHEMATICS MODEL PAPER 4

ICSE MATHEMATICS MODEL PAPER 4
Answer all quetions in Section A and any four question from Section B. You will NOT be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. All working, including rough work, must be clearly shown and must be done on the same sheet as the right of the answer. Omission of essential working will result in loss of marks. Time: 21/2 Hours] (max. Marks : 80)
SECTION - A [40 Marks] Answer ALL questions in this Section
1.a b	(3 Marks)
	If f(x) = 3x + 2 and the domain D = {-2, -1, 0, 1, 2}, then : find the range classify the function giving reasons for your answe      (  3 marks)
2	y + 2x = 0 is the equation of a line in the coordinate plane. Write the equation of the image of this line in the x axis the y axis the origin.                                                                                      (  4 marks
3ab	The area enclosed between two concentric circles is 770 cm2. Given that the    radius of the outer circle is 21 cm, calculate the radius of the inner circle.                 (  3 marks)
	Which is a better investment :   7% Rs. 100 shares @ Rs. 120 or 8% Rs. 10 shares @ Rs. 13.50 ?                                                      (  3 marks)
4.a b	, prove that x2 – 4ax + 1 =                                         (  3 marks)
	(  3 marks)
5	A cylindrical water tank of diameter 1.4 m and height 2.1 m is being fed by a pipe of diameter 3.5 cm through which water flows at the rate of 2 m/sec. Calculate in minutes the time it takes to fill the tank                          (  4 marks)
6.	In the diagram, PR and QA are parallel.Prove that : PS : QR = SQ : QA PO : SO = OQ : OR  (  4 marks)
7	n the adjoining figure, ABCD is a cyclic quadrilateral in which ÐBAD = 75o, Ð ABD = 580,and ÐADC = 770. Find РBDC РBCD РBCA  (  4 marks)
8ab	If 3, 8, 10, x, 14, 16, 18, 20 are in ascending order and their median is 13, calculate the numerical value of x.                                                                               (  2marks)
	List the solution set of 30 - 4(2x - 1) < 30, given that x is a posititive integer.                                                                                                                (  2marks)
SECTION - B [40 Marks] Answer any FOUR questions in this section
9a	In DABC, point P lies on the intersection of bisectors of angles A and B. Prove that if a circle is drawn with center P and radius equal to the distance of P from side AB, the circle will touch sides AB, AC and BC tangentially                                              (  5marks)
9 b	The following is a set of marks obtained by 100 pupils in an examination (with maximum marks 100) : Marks Group Frequency 1 - 10 11 - 20 21 - 30 31 - 40 41 - 50 51 - 60 61 - 70 71 - 80 81 - 90 91 - 100 4 6 7 16 25 21 12 5 3 1 Using a suitable scale on graph paper draw a cumulative frequency curve to represent the given data and use it to estimate the following : the median the lower quartile the upper quartile                                                                        (  5 marks)
10.a   b	A sum of Rs. 36000 is lent out for 2 years at compound interest, the rate being 10% for the first year and 12% for the second year. A part of the loan is returned at the end of the first year and on making a payment of Rs. 22400 at the end of the second year the complete loan is repaid. What was the amount repaid at the end of the first year?(  5 marks)
	In the adjoining figure a surveyor standing at point A on a river bank observes the angles between B and E on the opposite bank to be 60°. He then walks to point C 50 m upriver and observes angle DCE to be 45°. Calculate the width of the river and the distance between B and E.(  5 marks)
11a	Mrs. Ram is a teacher in a public school. Her annual salaried income is Rs 1,16,760. She donates Rs 1,001 to the Prime Minister's Relief Fund, which has 100% tax exemption. She contributes Rs 2,562 per month to her P.F. account, pays an annual premium of Rs 7,376 towards her Life Insurance Policy. Calculate the income tax paid by Mrs. Ram if her earlier deductions for the first eleven months of income tax were at the rate of Rs 145 per month.Assume the following rates: a) Standard deduction: 1/3rd of total income subject to a maximum of Rs. 20,000. (Rs. 25,000 if income is less than Rs. 1 lakh.) b) Rate of tax SLAB i) Up to Rs. 50,000 ii) from Rs. 50,001 to Rs. 60,000 iii) from Rs. 60,001 to Rs. 1,50,000 iv) from Rs. 1,50,001 onwards INCOME - TAX Nil (10% of the amount exceeding Rs. 50,000) Rs. 1,000 + 20% of the amount exceeding Rs. 60,000 Rs. 19,000 + 30% of the amount exceeding Rs. 1,50,000 c) Rebate in tax 20% of the total savings subject to a maximum of Rs. 12,000 d) Surcharge 10% of the tax payable                                                                                                              (5 marks)
11b	A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8 : 5, show that the ratio of radius of cylinder to height of cylinder is 3 : 4.(  5 marks)
12ab	Mr. Jacob has a 5 year R.D. A/c in the Bank of Baroda and deposits Rs.2,400 per month. If he receives Rs.1,82,090 at the time of maturity, find the rate of interest.   (  5 marks)
	he cost of manufacturing x articles is Rs. 20 + 2x. The selling price of x articles is Rs. 2.5 x. On a graph sheet, with the same axes, draw two graphs, first for the cost of manufacture against number of articles and the second for the selling price against number of articles. Take 2 cm = 10 articles on one axis and 2 cm = Rs. 20 on the other axis. Provide for x upto x = 80. Use the graph to determine : Number of articles to be manufactured and sold at break-even (No profit no loss) ; The profit made when 60 articles are manufactured and sold(  5 marks)
13a b	Construct  ABC such that AXB = 116o, AB = 7.8 cm, CF = 5 cm, CF  AB. X is the point of intersection of the altitudes                        ( 5 marks)
	Marks obtained by 70 students are given below: Marks 20 70 50 60 75 90 40 No. of students 8 12 18 6 9 5 12 Find: (i) the median marks, (ii) the modal marks                                                                                         (   5 marks)
14a    b     c	A rectangle with one side 4 cm is inscribed in a circle of radius 2.5 cm. Find the area of the rectangle                                                                              (   3marks)
	A music shop has a sound system marked at Rs. 14000 on which a sales tax of 12% is chargeable. What discount must be offered on the marked price such that a customer finally pays Rs. 14000 including sales tax.                                           (   2marks)
	Given  f(x) = x3 + ax2 + bx + c. When f(x) is divided by (x + 2), the remainder is 8;(x + 1) is a factor of f(x) and f(0) = - a. Find the expression and hence factorise it completely.                                                                               (   5marks)