X SAI TRIANGLE TEST 1

X SAI TRIANGLE TEST 1

M.M. 30                                                                                                                                                     TIME:  75 MIN                                                                                                                                

1.        [3]   In the adjoining figure, P is a point on the side BC of AABC such that     MP ║ AB and NP ║ AC. If MN and CB produced meet in Q, prove that    PQ² = QB x QC.

2.        [3]   Using Basic Proportionality theorem  prove that the line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side.

3.        [2]   In the adjoining figure, DE ║ AQ and DF ║ AR. Prove that EF ║ QR

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4.        [3]   ABCD is a trapezium in which AB ║ DC and its diagonals intersect each other at O. Using Basic Proportionality theorem, prove that .

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5.        [2]   Let ∆ABC ~ ∆DEF and their areas be 64 cm² and 121 cm² respectively. If EF = 13.2 cm , find BC.

6.        [3]   Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

7.        [3]   Prove that  in a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

8.        [3]   In the adjoining figure, ABD = CDB = PQB = 90°. If AB = x units, CD = y units and PQ = z units, prove

9.        [4]   In an equilateral triangle ABC, a point D is taken on base BC such that BD : DC = 2 : 1. Prove that 9 AD² = 7AB².                    

10.     [4]   In Figure given alongside, ABC is a triangle in which ∠ ABC < 90° and AD  BC. Prove that                    AC² = AB²  + BC²  – 2 BC . BD.

                 

OPTIONAL / HOME WORK

11.     In the adjoining figure, M is the mid-point of the side CD of parallelogram ABCD. The line BM is drawn intersecting AC in L and AD produced in E. Prove that    EL = 2 BL.

12.     Two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 25. Find the ratio of their corresponding>heights.

13.     Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes.

X SA I CHEM TEST FULL SYLLABUS 5

1.           What  chemical  process  is used  for obtaining a metal  from  its oxide  ?                                       

2.           Complete and  Balance  the  reaction                                                                                          

Fe₂O₃ + Al →  

3.           What  do  you  see when  penta-hydrated copper  sulphate crystals  are  heated.  Give  reaction too.

4.           (a)     Fe + CuSO₄  →      FeSO₄ + Cu                                                                                                       

(b)     Cu + FeSO₄    →    CuSO₄  + Fe

Which  of the above  two  reactions will take  place  and  why  ?

5.           Why is sodium kept  immersed in kerosene oil ?                                                                             

6.           Name  two  salts  that  are  used  in black  and  white  photography.  Give  reactions when  they  are exposed to light.

7.           You have  been  provided with  three  test  tubes.  One  of them  contains distilled water and  the other  two  contain an acidic  solution and  a basic solution respectively.  If you are given  only  red  litmus  paper, how  will you  identify the contents of each test tube  ?

8.           (a)     What  do you see when a magnesium ribbon  is burnt ? Is magnesium oxidized or reduced in this  reaction.

(b)     Define  corrosion.

9.           (a)     All ores are minerals but  all minerals are not ores. Justify  the statement.                   

(b)     What  is Galvanisation ?

(c)     Give composition of brass  and  bronze

(d)     Explain  roasting with  help  of a reaction.

(e)     What  do you  mean  by amalgam ?

OR

With  reference to electrorefining of impure copper, answer the following :

(a)     Draw  a neat  and  labelled diagram requised for the purpose of electrorefining.

(b)     What  is electrolyte used  ?

(c)     Name  the cathode and  anode used  ?

(d)     What  happens at cathode and  Anode ?

X SA I CHEM TEST FULL SYLLABUS 4

1.           Name  a Non-metal which  is lustrous and  a metal  which  is Non—lustrous.                              

2.           Balance  the  following chemical  equations :                                                                                 

Pb(NO₃)₂ (s)      H  e at      PbO(s) + NO₂ (g) + O₂ (g)

3.           With the help  of a suitable example, explain  0xidation and  Reduction in terms  of gain or loss of oxygen.

4.           Respiration is considered as exothermic reaction.  Explain  why  ?                                              

5.           Name  the  chemicals used  in the  Acid  Fire extinguisher and  the  gas  evolved from  it when  used  ?

6.           Explain  why  Calcium metal  after  reacting with  water  starts  floating  on  its surface  ? Write  the  chemical  equation for the  reaction.

7.           What  are exothermic and  endothermic reaction.  Explain  with  the help  of one example each.

8.           A sanitary worker uses a white  chemical  having strong smell of chlorine gas to disinfect the  water tank.

 (a)     Identify the  chemical  compound. (b)     Write  the  chemical  formula.

(c)     Write  chemical  equation for preparing it.

9.            How  baking  soda  is manufactured ?  Write  chemical  equations.  Write  two  important  uses of it.

10.         (a)     How  copper is obtained from  its ore ?  Write  equations.                                               

(b)    How  impure copper is refined by electrolytic refining ?  Draw  diagram and  write reactions at cathode and  anode.

OR

Write  balanced chemical  equation for the  reactions taking  place  when

(i)      Zinc  carbonate is calcinated.

(ii)     Zinc sulphide is roasted.

(iii)    Zinc oxide  is reduced to Zinc.

(iv)    Cinnabar is heated in the  air.

(v)     Magnese dioxide is heated with  Aluminium Powder.

X SA I PHY TEST FULL SYLLABUS 3

1.           Define  Ohm’s  Law.                                                                                                                        

2.           What  is green  house  effect ?                                                                                              

3.           A wire  is cut into three  equal  parts  and  then  connected in parallel.  How  will   its :           

(a)     resistance            (b)     resistivity  get effected  ?

4.           Calculate the  resistance of a conductor when  the  current flowing  through it is 0.2 A and  the potential difference is 0.8 V ?

5.           How  does  the  strength of the  Magnetic field  at the  centre  of a circular  coil of a wire depend on

(a)     radius of the coil                               (b)     number of turns  of wire  in the coil

6.           What  are exothermic and  endothermic reaction.  Explain  with  the help  of one example each.

7.           What  are the disadvantage of using  fossil fuels ?                                                                 

8.           How  many  resistors of 8W  are connected in parallel to carry 10 A current on 220V line ?

9.           State Fleming’s  Right  hand rule.   Give one application of this  rule. What  is SI unit  of  induced current ?

10.        Explain  the following :                                                                                                                         

(a)     Why is Tungsten used  for the filament in electric  bulbs  ?

(b)     Why  are the conductors of electric  heating devices,  made of an Alloy  ?

(c)     How  does  the resistance of a wire  vary  with  its cross sectional area.

11.        Draw  a labelled diagram of a biogas  plant.                                                                                      

12.        (a)     Draw  a shcematic diagram of the  common domestic ciruit.                                              

(b)     Write  difference between overloading and  short  circuiting.

OR

Answer the following questions :

(i)      What  is the direction of magnetic field lines outside a bar-magnet ?

(ii)     What  is SI unit  of magnetic field ?

                (iii)    What  does  crowding of magnetic field lines indicate ?

(iv)    What  is the frequency of A.C. in India  ?

                (v)     Name  two  organs in the human body  where magnetic field is quite  significant.

X SA I BIO TEST FULL SYLLABUS 3

1.           How  is the process  of transpiration useful  to plant  ?                                                         

2.           Tendril  encircles  or coils around the object in contact  with  it.  Elaborate.                             

3.           Name  the hormone secreted by ovary,  testes  and  adrenal glands.  Write  a function of each  hormone.

4.           Draw  a labelled diagram of a biogas  plant.                                                                                      

5.           Draw  a neat  diagram of Respiratory System  in Humans and  label the following :               

 (i)      Trachea                 (ii)     Bronchi                 (iii)    Lungs                    (iv)    Larynx

Where  does  exchange of gases  take  place  ?

OR

Draw  neat diagram of digestive system. Label its all parts. How  the main  components of the food  digested in the small  intestine?  Explain.

X SA I CHEM TEST FULL SYLLABUS 3

1.           Write  electronic configuration of an element having atomic  number 13.                                 

2.           State  an example of an endothermic reaction.                                                                        

3.            Why do we store silver chloride in dark coloured bottles?  Explain in brief.                           

4.           “A solution of potassium chloride when mixed  with silver  nitrate  solution, an insoluble white  substance is formed”.

a.    Translate the  above  statement into  a chemical  equation.

b.    State two types for this  reaction.

5.           Write  the chemical  name  and  formula of common salt.   State how  sodium hydroxide is prepared using  this salt.

6.           Draw a labelled schematic diagram to show the electrolysis of water.  Why is the amount of gas collected  in one of the test tubes  in this activity  double of the amount collected  in the other  ?

7.           Five solutions A, B, C, D and  E when tested with  universal indicator showed pH  as 4, 1, 11, 7 and  9 respectively.  Which  solution is (a) neutral  (b) strongly alkaline (c) strongly acidic  (d) weakly acidic  and  (e) weakly alkaline. Arrange the  pH  in increasing order of H—ion concentration.

8.            What  happens when chlorine is passed over  dry  slaked time? Write  chemical  equation of the reaction involved.  Mention three  properties of the product.

9.           How  is charcoal different from  coal  How  is it prepared?  State two  criteria  for considering charcoal a letter  fuel than  wood for domestic purposes.

10.        State  the  reason why                                                                                                                 

(i)      carbon  is not used  to reduce the oxides  of sodium or aluminium.

(ii)     an iron strip  dipped in a blue copper sulphate solution turns the blue solution pale  green.

(iii)    metals  replace  hydrogen from  acids  whereas non-metals do not.

(iv)    calcium  does  not  occur  free in nature.

(v)     zinc is used  in the galvanisation of iron  and  not the copper.

OR

(a)        list two  differences between calcinator and  roasting.

(b)     An element ‘X burns in oxygen  to form  an electrovalent compond XO.  State the compounds you  expect  will  form  if the  element X is made to  combine with (i) chlorine and  (ii) sulphur. Mention the  Chemical formula and  nature of bond present in each  case.