1
. .
: 1) 100, 100;
2) .
3)
1.
2.
1. 28 36, 46 57, 75 68, 99 88
1. , , .
1) 2, 4, 8;
2) 15, 16, 35, 70;
3) 100.
- :
1) 2, 4, 8, 16, 70, 100 ;
2) 15, 35 .
2. , .
: 11, 13, 15, 17, 19.
10 + 12 = 22 .
10+ 12 + 14= 36 .
11+ 13 = 24 .
12+ 13 + 15 = 39 .
20 - 18 = 2 .
20 - 19 = 1 .
.
, .
12:4 = 3 ()
.
6+3+8=17
16 + 13 + 18 = 17 + 10 + 10 + 10 = 47
.
16 + 13 + 18 = 47 26 + 13 + 18 = 57 26 + 23 + 28 = 77
6 + 13 + 28 = 47 16 + 23 + 18 = 57
16 + 23 + 8 = 47 16 + 13 + 28 = 57
26 + 3 + 18 = 47
6. .
, , , .
59 - 36 = 23 ()
12 < 23 . , 12 , , . ?
23 - 12 = 11 ()
: ?, ?.
8*. , , ? ( .) ? ( .)
? ( .) ? (.) ? (.) ? (.)
5. 9, 10 ( 3, 4).
6.
7.
2
. .
: 1) ;
2) ;
3)
|
|
1.
2.
3.
1. , 1 2? (11, 22, 21, 12)
2. , :
24 = 44 40 = 36
42 = 39 90 = 83
27 = 35 60 = 20
19 =26 30 =60
3. *, :
3* 36; 8* > 85?
4.
() 3, 4.
3. 15 . , 3 ? 15-3 = 12 ()
, .
) 15 . 12 . ? 15-12 = 3 ()
) 12 , 3 . ?
12 + 3 = 15 ()
4.
12-9 = 3 () ( ).
12 + 9 = 21 () .
12 - 10 = 2 () , .
(9+ 12)-10 = 11 () .
5.
() 1,2, 10 ( 1), 7, 8, 5, 6*.
1. (47 - 9) + 14 = 52 40 - (8 + 9) = 23
2.
6*. .
, 6 , , .
, , 3 , , 3 , , , .
10.: . .
:
10-3 = 7 7 + 3-10
.
: , .
6. ()
9,10 (. 2,3).
9. 16 , 7 . ?
7.
8.
. .
: 1) ;
2) .
3)
1.
2.
3.
1. 99
2. , 3 . 2.
3. 40 15?
4. 30 20?
4.
5.
() 1,3,4, 2, 6, 5*.
1. , , .
|
|
= 3
AC = 3
= 4
3 + 3 + 4 = 10 ()
2. , . .
, (40 + 15) - 9:
1) , ();
2) (, , ), ;
3) 40 15, 9;
4) : , () 40 15, 9.
: (74-19)+ 6 , 74 19, 6,
. .
3.
96 - (34 + 23) = 39 ()
1) 23 + 34 = 57 ()
2) 96-57-39 ()
3) 39 <57
: , .
4. .
5*.
3 6 ? (2 .) 3 ? (2 .) 6 ?
(4 .) 12 4 . 4 12 ? (3 .) 4 . , 4 ? (15 .) 12 ?
15 + 15 + 15 = 45 (.)
: 45.
6. : , , 98.
34 98-34 = 64, , : (34; 64); (72; 26); (19; 79); (13; 85); (11; 87); (60; 38).
6.
() 7, 8.
7.
, .
7.
8.
. .
: 1) ;
2) .
3)
1.
2.
3.
1. 25, 72.
2. 18 17
3. , 25 45
4. , 50 15
5. *, :
*7 < 43?
4.
() 1.
1.
-, :
5.
() 2, 8, 9, 7, 5, 3, 4,6, 11 (1- ).
2. .
3. .
1. ? ( .)
2. ?
3. ?
4. ? ? ?
: 28 , 7 . ?
4.
. ? ., 10 . , .
. .
5.
69 = 60 + 9 = 6 + 9 = 6 9 . .
6*. ? (2.) , 16 ? (8 = 16: 2.) ? (2.) ? (6 = 8-2.)
7. , ? (.)
, 4 5 , . ABC :
|
|
= 5
= 4
-... ( ).
: .
8. 90,77, 15, 8, 3.
9. (80 - 23) + 30 = 87 80 + (30 - 23) * 87, 80 7.
11. , . 56+ (28-3) = 56+ 25 = 81
6.
() 10, 11 (24- ).
7.
8.
5
. .
: 1) ;
2) .
3)
1.
2.
3.
1. , :
7 + = 13 + 9 = 18 20 + = 40 + 13 =28
2. : 2. 2.3.; 20 2.; 12 1.
3. 11 , 4 . ?
4.
() 5.
5. .
. :
29 + 8 = 37.
. ( 29 8 37.) : (29), (8), (37).
: 37 - 8 = 29. : 37 8 29.
: 37-29 = 8. ( 37 29 8.)
: , .
5.
() 1, 2,3, 7, 4, 6*.
3.
.
87-(27+ 20) (87-27)-20 (87-20)-27
4.
2 (, ).
- 4 (, OEM, , ).
2 (, ).
2 + 4 + 2 + 1 = 9 () .
6*.
I. ? ( .) . ? (4.) ? (7.) ? (12.) ? (39.) .
: 10 , 13 , 16 .
II. , ? ( 6.) 6 . ? (, .) , , ? ( 3 .) 39 3 6 , , ? ( , .) ? (30 = 39 - 6 - 3.)
30 : 30 = 10 + 10 + 10. 10? (10 .) , ? ( 3 .)
10 + 3 = 13 (.)
?
13 + 3 = 16 (.) 10 + 3 + 3 = 16 (.)
III. , , ? (3 .) ? (39.) 39 (39 = 13 + 13 + 13). 13 ? ( .)
|
|
? (16 = 13 + 3.)
? (10 = 13 - 3.)
IV. , , ? ( 3 , 6.) ? (48 = 39 + + 6 + 3.) 48 (48 = 16 + 16 + 16). 16 ? ( .) ? (16 - 3 = 13.) ? (10 = 13-3.)
7. .
6. () 8, 9.
7.
8.
6
. .
: 1) ;
2) ;
3) .
4)
1.
2.
3.
. 1. 12 . 5 . ?
2. 7 . 5. 4 . ?
3. 40, 13.
4. 50 15
5. , 13 5
4.
() 1, 8.
1. -, :
8. ABCD. : ?
5.
() 2,3, 10 ( 1,2), 5, 4, 7, 9, 6*.
2. .
3. , , .
4.
:
+*5 5 + * = 9, , * = 4. +15
8* * + 8 = 9, , * = 1. 84
99 99
_7* *- 8= 9, , 9 + 8 = 17 * = 7. 7 7
*8 6 - * = 5 * = 1. 18
59
5.
, :
(12+ 12)-5 = 19 (.)
6*. , , 65.
3 + 8 + 13 + 18 + 23 = 65
: 2 < 3 1; 7 < 8 1; 12 < 13 1; 17 < 18 1; 22<23 1.
: 5 1. ? ( 5.) ?
(60 = 65-5.) :
1- .
1 < 3 2; 6 < 8 2; 11 < 13 2; 16 < 18 2; 21 < 23 2.
2 5-10, 65-10 = 55.
4- .
4 > 3 1; 9 > 8 1; 14 > 13 1; 19 > 18 1;
24>23 1.
1 5 = 5, 65 + 5 = 70.
5- .
5 > 3 2; 10 > 8 2; 15 > 13 2; 20 > 18 2;
25>23 2.
2 5 = 10, 65 +10 = 75.
7.
6 3 = 60 + 3 = 63
1 = 10
6 = 10 + 10 + 10 + 10 + 10 + 10 = 60
. .
9.
77+15 = 87+5 10, 10, ;
83 + 5 = 85 + 3 (3 + 5 = 5 + 3);
82-25> 72-25 10 ;
73 - 17 > 73 - 27 10 ;
70-7 < 77-10 (63<67);
86 - 15 < 70 + 5 (71 75).
6. () 10, 11 ( 3, 4).
10.
1)17 + 23 + 18 = 58 () ;
2)58 - 50 = 8 () 8 .
7.
8.
7
. .
: 1) ;
2) .
3)
1.
2.
3.
1. 6 , 4 . ?
|
|
2. 15 , 5 . ? ?
3. 17 , 7 . ? ?
4. 20, 24?
5. 25?
6. 90?
4.
() 6*.
6*.
(5-5) 5 = 0 (5-5): 5-0 5 (5-5) = 0
5.
() 1,2,4, 8, 5, 3, 7.
1. .
2. .
, ? ( , .) ? (, 11 5 .) ? (.)
11-5 = 6 ()
? (.) ? ( .)
4.
12 . 3 .
5 .
?
(12 + 3)-5 = 10 (.)
: 10 .
5. , .
.
? (20 = 5 + + 5 + 5 + 5 .)
5 .
10 .
-.
, . .
: 10 .
7. .
(26 - 9) + (37 - 11) = 17 + 26 = 43
(41 + 11) - (70 - 38) = 52 - 32 = 20
10. , -. , .
6. () 9, 10.
9.
7.
8.
8
. . .
: 1) ;
2) .
3)
1.
2.
3.
1. 60, 8. ?
2. 5, , 40. ?
3. 20, 100. ?
4. 80, 25.
5. 75 9
6. 58 8?
7. 9 90?
4.
5.
() 1,3, 2, 5, 4, 6*.
2.
5 9. (5<9.) , . ( , , .) ? ( 4 .)
9-5 = 4 (.)
: 4 .
3. .
34 - 17 = 17
34 + 6 = 40 34-6 = 28 17 + 5 = 22 17-5 = 12
40-17 = 23 28-17 = 11 34-22 = 12 34-12 = 22
23-17 = 6 17-11 = 6 17-12 = 5 22-17 = 5
- - - -
6. 6. 5. 5.
: () , () . (), () .
4.
2 > 8
2 = 1 + 1=10 + 10 = 20 ; 20 > 8
. .
5. ABCD 7 , 3 . .
(7 + 3) + (7 + 3) = (7 + 3) 2 = 20 ()
(7 + 3) + (7 + 3) = 7 2 + 3 2= 20 ()
5 .
1) 7 + 5 = 12 ()
2) 3 + 5 = 8 ()
3) (12 + 8) + (12 + 8) = 20 + 20 = 40 ()
(12 + 12) + (8 + 8) = 24 + 16 = 40 ()
4) 40 > 20 , 40 - 20 = 20 ()
: 20 .
: 20 .
4 , 3 .
1) 7 - 4 = 3 ()
2) 3 + 3 = 6 ()
3) (3 + 6) + (3 + 6) = (3 + 6) 2 = 18 ()
(3 + 3) + (6 + 6) = 3 2 + 6 2 = 18 ()
4) 18 < 20 , 20 - 18 = 2 ()
: 2 .
: 2 .
6*. , .
, 3 . -.
, 5 . : 5 .
6. () 7, 8.
7. .
I. 1) 20 - 10 = 10 () , .
2)15-10 = 5 ()
15-(20-10) = 5 ()
II. 1) 15 + 10 - 25 ()
2)25-20 = 5 ()
15 + 10-20 = 5 ()
: 5 .
7.
8.
9
. . .
: 1) ;
2) .
3)
4)
1.
2.
3.
1. , :
2+2+2+2+2+2=
10+10+10+10+10+ 10 =
3+3+3+3+3=
15+15 =
4+4+4+4=
25 + 25 + 25 + 25 =
5+5+5+5+5+5=
2. 20 , 16 . ?
3.
42 , 46 .
?
4. , :
13 5=13 + 13+13 + 13 + 13
33 3 = 33 + 33 + 33
55 7 = 55 + 55 + 55 + 55 + 55 + 55 + 55
4.
() 1.
1. -, :
5.
() 2, 3, 4, 6, 7, 8, 10, 5*.
4. . , 4 2, 2 4.
5*. 100 , 20. 100-20 + 20 + 20 + 20 + 20.
, 100 , 5 .
20 20 20 20 20
1______1______1______1_____1_______1
. , 100 . (6.) , 5, 6.
6.
76-(3-2) 30+ (2-4) (9-2)+ 32
7.
10. (49 + 18) - 40 = 67 - 40 = 27
() 9, 11.
9-3=6(.) , ( ) ;
3 2 = 6 (.) ;
3 2 + 9 = 15 (.) ;
9-3 2 = 3 (.) , .
11. , 2 3.
7.
8.
10
. . .
: 1 ) ;
2) .
3)
4)
1.
2.
3.
1. :
2. 2 . 9 ?
3. 18 . , 2 ?
4.
() 1, 4.
1. -, :
4.
2 6 = 6 2 8 2>2 7 12 2<2 13
2 7 = 7 2 = 14 12 2 = 12 + 12 = 24
16>14 2 13 = 13 2 = 13 + 13 = 26
24<26
: .
5.
() 2, 3, 6, 7, 9, 5*.
5*.
.
: 34 - 32 = 2 (.)
: 34 - 29 = 5 (.)
: 32-5 29-2
34-(2+ 5) = 27 (.)
7. (1 ). 20 . .
I.
1) 1 + 1 = 2 () ;
2) 20 - 2 = 18 () ;
3)18:2 = 9 () .
II.
1) 20: 2 = 10 () ;
2) 10-1 = 9 () .
.
9.
50 .
43 .
9 .
? .
I.
1) 50-43 = 7 (.)
2) 7 + 9 = 16 (.)
: 16 .
II.
, . ? ( 34, 43 - 9 = 34.) ? ? (, 34.) 16 . (50-34 = 16.)
8.
, 5 3 . , . )
(), (). . ) ( ), , (). ) ,
6. () 10.
7.
8.
11
. . .
: /) , ;
2) .
3)
4)
1.
2.
3.
1. 12 , 8 . ?
2. 16 14 . 8 . ?
3. 9, 19.
4. , :
8+8+8+8+8+8+8=
9+9+9+9+9+9+9+9+9+9=
16+16+16+16+ 16=
5. , ? ?
6. 37, 40?
7. 37, 30?
4.
() 3.
3.
(3 + b) ;
(3 - b) , .
5.
() 1,2,5, 6, 4*.
1. 6-2; 6-3; 6 b.
: .
2.
) = 8, 35 - = 35 - 8 = 27.
= 13, 35 - = 35 - 13 = 22.
) b = 2, 12: b=12: 2 = 6
b = 3, 12:b= 12: 3 = 4.
4*.
I.
: 2, 3.
II.
: 2, 3.
III. 5 . ? (20.) ? (14.) ? ( 6.) ? ( 2 .) , 6 ? (.) ? 6:2 = 3 ()
IV. 5 . ? (10.) ? (14.) ? ( 4 .) ? (.) ? ( 2 .) , ?
4:2=2 ()
V.
? (6.) 6 14 ? (14: 6 = 2 ; 2 .) , 2, 3 (2 + 1).
5.
(5+ 7)+ (5+ 7) = 24 ();
(5 + 7) 2 = 24 ();
5 + 5 + 7 + 7 = 24 ();
5 2 + 7 2 = 24 ().
, .
II.
I.
1) 5 2 = 10 () ;
2) 24 - 10 = 14 () ;
3) 14: 2 = 7 () .
II.
1) 24 = 12 + 12, 12 ;
2)12-5 = 7 () .
III.
I.
1) 7 + 7 = 14 () ;
2) 24 - 14 = 10 () ;
3)10: 2 = 5 () .
II.
1) 24 = 12 + 12, 12 ;
2) 12-7 = 5 () .
6. () 7.
7.
8.
12
. .
: 1) ;
2) .
3)
4)
1.
2.
3.
1. 15 5. ?
2. 3 17. ?
3. , : 13, 30, 17
4. 66, 30?
5. 16 , 24. ?
6. 20 8, 30
7. 36 . 16 . ?
8. 27 . ?
4.
() 1, 2.
5.
() 3, 4, 5*, 6, 7, 8.
3. , , 1 = 60 , 1 = 24 . .
4. , , .
8 30 + 4 = 12 30
5*. , 5 ? ( 5.) , 1 , ? ( 5 6 .) , 7 , ? (5 7 12.)
6.
.
: 25 - (4 2) ,
25,
4 2.
. . .
7. ? , ?
8. , , .
80 -(16 + 10) = 54 (.)
(80-16)-10 = 54 (.)
(80-10)-16 = 54 (.)
6. () 9, 10.
7.
8.
13
. . ½ ⅓ .
: 1) ;
2) ½ .
3)
4)
1.
2.
3.