1) What are 'groups' of modern periodic table ? What does the 'group number' ?
2) Name and state the following with the reference to the elements of the periodic table.
a) The novel gas having an electronic configuration 2, 8, 8 .
b) The non-metal in period three having a valency one.
c) The formula of the hydride of the halogen in period 3.
d) The element from the elements C, O, N, F having the maximum nuclear charge.
e) The element with the largest atomic size from the elements of period -- 1, 2 and 3.
3) Fill up the blanks with appropriate words.
a) Elements of the extreme left of the modern periodic table are ___ reactive, while elements of the extreme right [group -189(0)] are ____reactive. [least/at most]
b) Atomic size of neon is ____( more/less) than the atomic size of fluorine .
c) An atom is said to be non metal if it ____(gains /loses) one or more electrons.
d) nuclear charge of an atom is the______( negative /positive) charge on the molecules of an atom, equivalent to the atomic _____(number/ mass) of an atom.
e) covalent compounds are formed by sharing electron pairs between non metallic atoms. non metallic ions having _____valence electrons (4, 5, 6, 7) share 1, 2 or 3 pairs of electrons respectively.
f) In the reaction of Cl₂ + 2KI ---> 2KCl + I₂.
The conversion of 2I to I₂ is deemed as ____(oxidation/ reduction).
g) An example of a base which is not alkali is ____(caustic soda/ zinc hydroxide) solution.
h) An insoluble salt prepared by direct combination or synthesis is. ___(FeCl₃/FeSO₄/FeS/ Fe(NO₃)₂).
i) The hydroxide which is soluble in excess of NaOH is ____(Zn(OH)₂/ Fe(OH)/ Fe(OH₂))
j) To distinguish soluble salts of zinc and lead ____(NaOH/ NH₄OH) can be used.
k) On electrode at which anions donates excess electrons and are oxidised to neutral atmoss is the ____(anode/cathode).
l) On electrolysis Ag¹⁺ and H ions migrate to the ___(cathode/anode) and ____(Ag¹⁺/HI⁻) are discharged.
m) MA²⁺ forms M, a natural atom by electron ____(less/gain).
n) The metal whose hydroxide does not decompose on heating but its nitrate decomposes is ____(Ca/Al/Na/Fe).
o) During electrolytic reduction of alumina the insert electrode is___( reduced/oxidised) to a neutral gas.
p) aluminium powder a constituent of points , prevents ___(heat radiation/ formation of rust/conduction of electric current).
q) German silver contains ____(Cu-Zn-Sn/Cu-Zn-Ni/Cu-Ph/Ni)
r) the non metallic components of stainless steel is ___(Sulphur/Phosphorus/ carbon).
s) hydrogen chloride gas on heating above 500°C gives hydrogen and chlorine. The action/ thermal dissociation.
t) Addition of ___(sodium nitrate/zinc nitrate/silver nitrate) to hydrochloric acid, gives an insoluble precipitate of the respective chloride.
u) The gas/es which is/are heavier than air and highly soluble in water (NH₃/HCl/CO₂/H₂S)
v) Ammonia in the liquefied from is___ (acidic/ basic/ neutral)
w) the oxidised product obtained on reaction of H₂S gas with dilute HNO₃ is ___(Sulphur /sulphuric acid).
x) A mineral acid obtained from concentric nitric acid on reaction with a non metal is ___( hydrochloric acid/ sulphuric acid/ carbonic acid ).
y) The dehydrated product oobtained when cane sugar reacts with concentric H₂SO₄. (CO/C/CO₂).
z) The reduced produced obtained from hydrogen supplied reacts with concentric H₂SO₄/ SO₂/S/H₂O).
a) The IUPAC name of methyl acetylene (1- butane/propyne/ethyne).
b) State the factor which affect
a) electro affinity
b) electro negative of elements in a periodic table.
3) What is meant by the 'chemical bond' and 'chemical bounding'.
4) State why noble gases are unreactive while atoms of elements other than noble gases are chemically reactive.
5) State the reason why ammonia is evolved when ammonia is evolved when an ammonium salt and alkalis are heated.
6) Give balanced equation for the preparation of the following salts.
i) CUSO₄ ii) NaHSO₄ iii) FeSO₄ iv) PbSO₄ using dilute H₂SO₄ v) Na₂SO₄
7) State giiving reasons , in what state of medium does
a) NaCl
b) HCl
c) NH₃ gas conduct electricity.
8) Name three organic compounds and one neutral liquid which are non electrolytes.
9) Give a reason why metals ---copper, silver and lead are electro refined but K, Na and Ca are not.
10) Explain the term 'dectrometallurgy'. At which electrode metal always deposited.
11) State the electrode reaction at the respective electrodes at the respective electrode reaction at the respective electrode reaction at the respective electrodes during extraction of Al from Al₂O₃.
12) State the basis on which the general characteristic properties of metals and non-metal are associated.
13) State why alkali metals are strong agents, while halogens( non metal) are strong oxidizing agents.
14) Explain in brief the electrolyte method of further purification of aluminium metal.
15) state reason why zinc is used in used in
a) galvanization
b) dry cells
c) alloys
16) Give the equation for preparation of HCl gas by synthesis. State two conditions involved in the synthesis.
17) Give four different word equations relating to acidic properties of an aqu. solution of HCl gas.
18) convert hydrochloric acid to nascent chlorine.
19) Give three test for hydrochloric acid. Convert silver nitrate to a soluble salt of silver using hydrochloric acid and alkali.
20) State by nitrogenous matter produces ammonia. State a liquid source of Ammonia .
21) Give balanced equation with all conditions to option with all conditions to obtain NH₃ from N₂ and H₂.
22) convert ammonia to nitric oxide by catalytic oxidation of ammonia . State all conditions .
23) State a reason why reaction of liquor ammonia. State all conditions.
24) State five tests for ammonia where a colour change involved.
25) State the colour of
a) i) pure nitric acid ii) nitric acid obtained in the laboratory iii) nitric acid from laboratory preparation after passage of air addition of water to it.
b) State which reaction of ammonia forms the first step of Oswald's process.
c) state how addition of nitric acid to acidified FeSO₄ serves as a from former.
d) Name two naturally occurring nitrates . Give equations for three different methods of preparing nitrates.
e) give equations for the heat on i) two different nitrates types which evolve only one gas. ii) 3 different nitrates which leave a coloured metallic residue . iii) A nitrate which leaves no residue.
26) a) State how SO₂ is obtained from Cu and conc. H₂SO₄.
b) Give the reaction of SO₂ with chlorine. What type of reaction of SO₂ is it.
c) Give the reaction reaction for the use SO₂ in i) bleaching ii) food preservation.
d) State how addition of a) copper b) NaCl to hot con H₂SO₄.
27) a) Draw the structural formula and give the name of two isomers of butane and 3 isomers of pentane .
b) State what are alcohols including denatured alcohol. Draw the structural formula for method and ethanol.
c) state what are alkenes. Give a reason why alkanes are called olefins.
d) State what are functional groups ? Name the following functional groups.
-OH, -CHO; -COOH; X= - F, -Cl, Br, I; -Cl=O; -C-O-C.
28) a) calculate the percentage of iron in K₃Fe(CN)₆ (K=39, Fe= 56, C= 12, N= 14(. 17.02% of Fe
b) calculate the percentage of water of crystallization in CuSO₄. 5H₂O. (Cu= 63.5, S= 32, O= 16, H= 1). 36.07%
c) Two the organic compounds x and y containing carbon and hydrogen only have vapour densities 13 and 36 respectively. State the molecular formula of x and y. (C=12, H=1). C₂H₂; C₆H₆
d) A gaseous hydrocarbon weight 0.7g and contains 0.60g of carbon. Find the molecular weight is 70. (C=12, H=1). C₅H₁₀
e) What mass of silver chloride will be obtained by adding an excess of hydrochloric acid to a solution of silver nitrate. (Cl=35.5, Ag=108, N=14, O=16, H=1). 0.287g
f) Zinc blend is roasted in air. Calculate
a) The number of mole of sulphur to produce 22.4 lits of SO₂ at s.t.p (S=32, Zn= 35, O= 16) 8 moles, 97g
g) Calculate the ammonia gas obtained when 32.6g. ammonium chloride reacts with calcium hydroxide during the laboratory preparation of ammonia (2NH₃). (N=14, H=1, O=16, S= 32, Cl= 35.5). 1036g
h) What volume of oxygen would be required for the complete combustion of 100 lits of ethane according to the following equation
2C₆H₆ + 7O₂ --> 4CO₂ + 6H₂O. 350 lits
i) 4NO+ CH₄ ---> CO₂ + 2H₂O + 4N₂. If all volume are measured at the same temperature and pressure calculate the volume of N₂O required to give 150 cc of steam. 300 cc
₂₂₂₃₂₂₂₄₂₂₄₄₄₄₂₄₂₄₃₂₃₃₂₂₄₂₂₄₂₂₂₂₃₂₄ ⁻₂₅₂₂₃₂₂₂₂₃₂₂₂₃₂₂₄₄₂₄₄₂₂₂₂₇₂₄₂₂₃₂₅₂₂₇₂₂₇₃ ₆ ₄₂₂₂₆₆₅₁₀₃₆₆₂₂₂₄₂₂₂₂
MATHS
1) Girija buys a TV set for Rs 13300 and gets 6% rebate on it. He has to pay a GST of 10%. Find the total amount he has to pay.
2) The listed price of a refrigerator is Rs 15000. The customer is allowed a rebate of 50/3%. If the customer pays Rs 13750 for it, calculate the rate of GST.
3) Leena wants to buy an electric iron which is listed Rs 1308. She has to pay a GST of 9%. The shopkeeper reduces the price so that Leena has to pay Rs 1308 inclusive of GST. Find the reduced price.
4) Sita deposits Rs 400 per month in a bank in recurring deposit. On maturity she gets Rs 97854.40. find the period of which she had deposited.
5) Which is the better investment 8% Rs 100 shares at Rs 20 premium or 6% Rs 100 shares at Rs 20 discount?
6) A company declares a semi annual dividend of 5%. Sanjay owns 25 shares of par value Rs 12.50 each. How much annual dividend must be receive ?
7) A company having a capital stock of Rs 450000 declares a dividend of 4% semiannually.
a) What is the annual income of a stock holder owning 135 shares at par of Rs 10?
b) What is the total amount of dividend paid annually by the company.
8) Vinay owns 150 Rs 25 shares of a company which declares a dividend of 12%. What is Vinay's dividend income? If he sells the shares at Rs 40 and invests the proceeds in 7% stock (par value Rs 100) at Rs 80, what is the change in his dividend income?
9) Mr. Gupta purchased 360 Rs 50 shares at Rs 20 premium. The company declares an annual dividend of 12%.
a) Find his dividend income from the shares.
b) Find his total investment in the shares.
10) A man invests Rs 1426 in 5% stock at Rs 115. He sells this stock at Rs 125 and invests the proceeds in 3% stock at 93. Find the change in his income.
11) Solve: (11- 2x)/(9-3x) ≥ 5/8, x belongs to R, x< 3.
12) 8/3≤ x + 1/3 < 10/3, x belongs to R. Hence represent the solution on a number line.
13) A={ x: -1< x ≤ 5, x belongs to R}
B={x: -4≤ x < 3, x belongs to R}
Represent a) A ∩ B b) A' ∩ B on different number lines, where universal set is R.
14) Solve the equation 3x½- x -7= 0 and give your answer correct to 2 decimal places.
15) Find the roots of x½- 6x +2= 0, using formula.
16) Find the roots of √3 x²- 9x + 6√3=0 using formula.
17) Solve for x, (4x²-1) -3(2x +1)+ x(2x +1)= 0.
18) Solve for x, using formula, x²- 1/x²= (29/10) (x - 1/x).
19) Solve: √(x +15)= x+ 3, x belongs to N.
20) Solve: √{x(x-3)}=√10. State the sum of the roots.
21) Solve: √(6x -5) - √(3x -2)= 2.
22) A two digit number is four times the sum and two times the product of its digits. Find the number.
23) A says to B, I am twice as old as you were when I was as old as you are. If the product of their ages is 588. Find their present ages.
24) A number consists of two digits such that the square of the digit in the ten's place exceeds the digit in the unit place by 11. If the number is five times the sum of the digits, find the number.
25) Ten years ago, the sum of the ages of two sons was half of their father's age. The ratio of the present ages of the two sons is 4:3 and the sum of the present ages of all the three is 117 years. Find the present ages of the father and each of the two sons.
26) A party of students arranged an excursion costing Rs 540, whose amount was to be shared equally by all of them. But later, it was found that three of the students, could not pay, though they had joined the excursion. As a result, the rest of the students had each to pay Rs 2 more. Find the total number of students in the party.
27) In a certain examination, the those number of candidates passed was four times the number of those who failed. If the number of candidates that appeared had been 35 less, and the number that failed had been 9 more, the number passing would have been twice the number failing. Find the total number of candidates that appeared at the examination.
28) In a certain year, the incomes of Nitesh and Mitesh are in the ratio 5:6; their expenses are in the ratio 6:7, and their savings are in the ratio 4:5. If the sum of their expenses during that year is Rs 3900, find the income of each.
29) The length of a rectangle exceeds its breadth by 5m. If the breadth were doubled and the length reduced by 9m, the area of the rectangle would have increased by 140 square.m, find its original area.
30) If the usual speed of a train is reduced by 4km per hour, it takes one hour more to cover a distance of 360 km than it usually does. Find the usual speed of the train in km per hour.
31) The area of a right angle triangle is 60 square. units. Determine its base and the altitude if the latter exceeds the former by 7 units.
32) The points A((2,1), B(0,3) and C(-3,-2) are the vertices of a triangle.
a) plot the points on the graph paper.
b) Draw the triangle formed by reflecting these points in the x-axis.
c) Are the two triangles congruent?
33) P,Q, R are the points (0,0), (2,6) and (10,2) and PM is the median of ∆ PQR. Find the coordinates of the image?
a) A' of A under reflection in the x-axis
b) B' of B under reflection in the line AA'.
c) A" of A under reflection in the y-axis
d) B" of B under reflection in the line AA'.
34) If a: b= c: d, show (a²+ ac + c²)/(a²- ac + c²)= (b²+ bd + d²)/ (b²- bd + d²).
35) If a/(b + c) = b/(c + a)= c/(a + b), show that each ratio 1/2 or -1.
36) Using properties of proportion, solve for x:
(2x²+ 6x)/(12x²+ 4)= 682/364.
37) If a,b,c are in continued proportion, show that (ba+ bc) is the mean proportion between (a²+ b²) and (b²+ c²).
38) If x+2 is a factor of x²(x +6)+ Kx + 6, find the value of k.
39) If x -3 is a factor of x³- 3x⅖+ 4x + k, find the value of k. Hence find the other factors.
40) If x-1 is a factor of x³(x +3)+ x(x -3) - 2k, find the value of k. Hence find the other factors, if x+1 is also one of the factors.
41) Show that x-1 is a factor of x³- 7x²+ 14x -8. Hence, completely factorise.
42) If A= (k 3 & B= (2 & C= 1
0 1) -3) -3) with the relation AB = C, then find k.
43) If A= a 1 & B= 4 3 & C= b 11
1 0 3 2 4 c with the relation AB= C, then find a, b, c.
44) If A= 4 1
-1 2 show that A²- 6A + 9I= 0.
45) If A= -3 2 & B= 1 a
-2 -4 b 0 and (A+ B)(A - B)= A²- B², find the values of a and b.
46) If A=2 -1 & B= 2
4 3 -3 find matrix X such that AX = B.
47) If A= 1 1
1 1 find matrices B and C of order 2x 2 such that AB= AC but B≠ C
48) If A= 2 5 & B= 4 -1
0 1 2 0 and equation
5A+ 3B + 2X= 0 42
4 9, find the matrix X.
49) Find the coordinates of the point dividing the join of (1,2) and (2,1) in the ratio of 3:4.
50) C divides AB in the ratio 5:4. If A is (2,7) and C is (-3,-8), find the coordinates of B.
51) A is (6,10), B is a point such that the origin divides AB internally in the ratio 1:2. Find the coordinates of B.
52) Find the ratio in which the point (7, a) divides the join of (-5,2) and (3,6) hence find a.
53) Obtain the ratio in which the x-axis divides the segment joining A(-2,3) and B (4,-6). Hence or otherwise find the coordinates of the point of intersection of the x-axis and AB.
54) Find the equation of lines whose y-intercept is 2 and slope is 3.
55) find the y-intercept and slope of
a) 3y - 6x= 2
b) 2x - 3y = 6.
56) Find the equation of the line through (2,0),(0,2).
57) Find the equation of a line through (0,3) and parallel to 2y - 4x =1.
58) Find the equation of a line through (0,-5) and parallel to x/2 + y/3= 1.
59) Find the equation of a line through (1,2) and perpendicular to y= 2x +1.
60) Find the equation of a line through the origin and perpendicular to 3x + 5y=7.
61) A(2,4) and C(8,10) are opposite vertex of a rhombus ABCD. Find
a) the midpoint of AC
b) the slope of AC
c) the equation of the diagonal BD.
62) In the given figure angle XZS= YZR= SRZ, XY= 5.2cm and RS= 3.9 cm. Find the ratio of area (∆ XYZ): area (∆ ZSR).
63) A model of a ship is made to a scale 1:300.
a) The length of the model is 6m. Find the length of the ship.
b) The volume of the model is 250 litres. Find the volume of the ship in m³.
c) The area of the deck of the ship is 18000 m². Find the area of the deck of the model.
64) Construct an equilateral ABC in which each side is 5cm long. Construct a point O which is equidistant from the three vertices. Construct perpendicular from O to each side. Is equidistant from each side?
65) Draw a circle of radius 4cm and mark two chords AB and AC of the circle of length 6cm and 5cm respectively.
a) construct the locus of points, inside the circle that are equidistant from A and C.
b) Construct the locus of points inside the circle that are equidistant from AB and AC
66) From the adjoining diagram
a) Show BM/AL = MC/LQ
b) If BM= (1/2) MC, find LM/QR.
67) PQRS is a parallelogram, SL= SR. show that
a) QM= QR
b) ∆ LSR= ∆ ||gm PQRS
If PQ= 2 PS, show that ∆ QRM= (1/2) ∆ PQR
68) PQRS is a parallelogram, PZ: ZQ= 2:3, Find
a) QX/XS
b) QX/QS
c) QY/YS
d) QY/QS
69) From the diagram. Find the value of x. Name the isosceles triangle in the figure.
70) If O is the centre of the circle and angle ROS=42, find angle RTS.
71) If C is the centre of the circle, PQRS is a parallelogram and angle PQR= 42, find angle PXR, SCX.
72) A circus tent is cylindrical to a height 3m and conical above it. If its diameter is 105m and slant height of the cone is 53m, find the total area of the canvas required. (π=22/7).
73) A cone is 8.4cm high and the radius of its base is 2.1cm. it is melted and recast into a sphere. Determine the radius of the sphere.
74) The diameter of a sphere is 6cm. It is melted and recasted into a sphere. Determine the radius of the sphere.
75) The diameter of a sphere is 6cm. It is melted and drawn into a wire of diameter 0.2m. find the length of the wire.
76) Prove:
a) 1/(cosx + sin x -1). + 1/(cosx + sinx +1) = cosecx + secx.
b) tan²x - tan²y = (cos² y - cos²x)/(cos² y cos² x) = sin²x - sin²y)/(cos²x cos²y).
c) If x= a sec m cos n, y= b secm sec n, z= c tan m , show that x²/a² + y²/b² - z²/c²= 1.
d) If sinx + sin²x = 1, show cos²x + cos⁴x = 1.
e) show: cos⁶x + sin⁶x = 1- 3 cos²x. sin²x.
f) If 6 sin²x + 2 cos²x = 3 find x.
g) Show: (tanx + secx -1)/(tanx - secx +1)= (1+ sinx)/cosx.
h) show: (1+ cot x - cosecx) (1+ tanx + secx)= 0
i) show (sinx + cosecx)²+ (cosx + secx)²= tan²x + cot²x +7.
76) A man standing 20m from a tower measure the angles of elevation of the top and bottom of a flagstaff on the tower as 30° and 60°. Calculate the height of the flagstaff to the nearest 0.1m.
78) A man on the deck of a ship is 20m above water level. He observes that the angle of a elevation of the top of a cliff is 60° and the angle of depression of the base is 30°. Find the distance of the cliff from the ship and the height of the cliff.
79) For the following distribution, draw a histogram and find mode.
Mass (kg) frequency
44-47 13
48-51 27
52-55 43
56-59 36
60-63 23
80) Calculate the mean for the following distribution:
Class frequency
10-16 1
16-22 10
22-28 5
28-34 3
35-40 6
81) Find mean for the following distribution
Marks students
05-10 5
10-15 6
15-20 15
20-25 10
25-30 5
30-35 4
35-40 3
40-45 2
82) Following are scores made by a cricketer:
12,24,48,27,0,91,40,13,6,32.
Calculate a) the mean b) the median score
83) For the following distribution, draw the ogive, estimate the median
Class frequency
0-2 17
3-5 22
6-8 29
9-11 18
12-14 9
15-17 5
Also find (i) lower quartile ii) the upper quartile iii) the semi-inter quartile
84) Following are the marks of 100 candidates
Marks candidate
00-10 5
10-20 10
20-30 22
30-40 40
40-50 15
50-60 8
a) state the pass mark if 75% of the candidates passed.
b) State the mark which 40% of the candidates exceeds
What percentage of candidates get less than 20 marks.
85) The median of the following observations 11,12,14, 18, (x +14),30,32,35,41, arranged in ascending order is 24. Find x.
86) Two fair dice are thrown. Find the probability of getting
a) the same score on the first die as on the second.
b) the score of second die is greater than the score of first.
