Model answers to MAT of Gr.A and Gr.B

Group A-Slab (a) : 5+ to 6+

1.i) Triangle, ii) Straight Line, iii) Quadrilateral.

2. See the above figures and draw.

3. 1  2  3 4 5, 6 5 4 3  2, 9 8 7 6 5 4 3,

4. i) 1,4,8 ; 45,34,23; 50, 23, 12

5.i) forty five, three, thirty four ; ii) twenty three,
      twenty nine, forty nine ; iii) nine, three, six :

6.         39, 45, 12,

7.        8        34       20
         +5      +49    +39
         13         83      59
8.      8         46       27
        -3       -32      -19
         5         14         8 (27=19+8)
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Gr. A - Slab (b); 7+ to 8+

1. i) curved line, ii) circle, iii) ellipse

2. draw as above

3. 23 24 25 26 27 28 29
    99 98 97 96 95
    34 35 36 37 38 39
4. i) 98, 61, 34 ii) 23, 57, 86 iii) 1, 5, 9

5. i) Ninety five, One hundred two, One hundred nineteen,
    ii)One hundred ninetynine, fifty six, nine
    iii) three, four, five

6. 103, 29, 90

7.  23                   69                  99
   +32                 +84                +10
      55                 153                109

8. 63                  79                888
  - 36                - 68             -   57
    27                   11               831

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Gr. A-Slab (c) 9+ to 11 on 22nd Jan.

1. i) Sphere, ii) Cylinder iii) Cone

2, i) as above ii) as above iii)  slanting box, a solid figure consisting six paralleiogram.

3. 123  124  125 126 127 128 129
     345 346 347 348 349 350
     987  986  985  984  983  982  981

4. i) 87, 129, 567 ; ii)  43, 57, 96  iii) 10, 101
   
5. i) One hundred nine thousand eight hundred eighty eight,
    ii) Twelve million four hundred fifty six thousand seven hundred eighty nine
   iii) one thousand twenty three

6. 1,000,000,000 (in USA and France),
     3,00,000 ; 1000

7.  578                   9876                  1000000
   +654                 +  345                +        999
   1232                  10221                  1000999

8. 99999              579             12345
   -    888           - 480           -   6789
    99 111               99               5556
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Group B - Slab (a) - 11+ to 12+

1. 9 = 1+8, 2+7, 3+6, 4+5
    5= 1+4, 2+3
     3= 1+2
     6= 1+5, 2+4, 3+3
     2= 1+1
     8=1+7, 2+6, 3+5, 4+4

2. 12= 1x12, 2x6, 3x4
    34= 1x34, 2x17
    56=  1x56, 2x28,4x14, 7x8

3. 12+34x23
   = 12+((34x10+34x10)+34x3
   = 12+( 680+102)
   =12+ 782=794

4. i) Triangle, ii) right angle, iii) acute angle

5. 1/2x3x2=3 sq. ft

6. i) 2ft+4ft= 6ft
    ii) 9cm+3ft= 9cm+3ft
    iii) 2 Rs. + 2ft =2Rs + 2ft

7. Draw -
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Group - Slab (b) ( 13+ to 14+)

1. 12= 1+11,2+10,3+9, 4+8, 5+7,6+6
    11= 1+10,2+9,3+8,4+7,5+6
    10= 1+9,2+8,3+7,4+6, 5+5
     9= 1+8,2+7,3+6,4+5
     7= 1+6,2+5,3+4
     3= 1+2

2. 124= 1x124, 2x62, 4x31
     456 = 1x456, 2x228, 4x114, 8x57, 24x19
      99= 1x99,3x33, 9x11

3. 24x42+25x50
   =(24x10x2x2+ 24x2)+ 25x10x5
  = (960+48)+ 1250
  = 1008+1250
  = 2258      

4. i) perimeter, ii) radius, iii) arc

5. 3ftx3ftx6= 54 sq.ft.

6. 2ftx4ft=8 sq.ft
     4ft-2ft=2 ft
     2ft + 2= 2 ft + 2

7. i) If three sides of a triangle is equal to three sides of another triangle.
    ii) a)Two sides and included angle becomes equal with two sides and the included angle of other triangle,(b) two angles and a side becomes equal with two sides and an angle of another triangle.
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Group B- Slab (c) (15+ to 16 0n 22nd Jan)

1. 20= 1+19, 2+18, 3+17, 4+16, 5+15,6+14,7+13,8+12, 9+11,10+10
    19= 1+18,.......
     23=1+22.......

2. 64=1x64, 2x32,4x16.......
    999= 1x999, 3x333, 9x111....
    1000= 1x1000, 2x500, 4x250.....

3. 99x23+64x24+45x12
               24

     99x23=90x23+9x23
               =3x3x10x23+3x3x23
               =3x3x230+3x69
               =2070+ 207
               =2277
    64x20+64x4= 1280+ 256
                        = 1536
    45x12=45x2x2x3=540
 2277+1536+540=   4353
       4353
          24
      =1451x3
            3x8
      =1451
            8
4. cube, parallelopiped, prism

5. 4T| rsq=4x3.143x3sq
               =37.716
6. 2ft+2Rs=2ft+2Rs
    4ft-4ft= 0 ft
    2ftx8ft=16sqft.
7.                                       

             

    

i) pt. of intersection of the bisectors of the angles of a triangle

                                                                              ii) pt. of inersection of the perpendicular bisectors of the sides of a triangle.