ANSWERS
|Ans06|Ans07|Ans08|
|Ans09|Ans10|Ans11|
|Ans12|Ans13|Ans14|
|Ans15|Ans16|Ans17|
06 years old (Grade 1)
1st Bimester
1) 6; 2) The second figure; 3) 5, for example; 4) 9; 5) ooo
2nd Bimester
1) 4 + 3 = 7; 2) 7, 8; 3) a) 2+5+1=8, b) 6+0+2=8, c) 2+3+5=10; 4) 10; 5) a) 8-5=3, b) 9-2=7, c) 6-3=3;
3rd Bimester
1) Four groups, it rests one unity; 2) llllllllll����
3) a) 64 = 60 + 4, b) 39 = 30 + 9, c) 18 = 10 + 8, d) 47 = 40 + 7; 4) 5, 3, 6, 4;
5) a) 30 + 40 = 70, b) 60 + 20 = 80, c) 35 + 13 = 48, d) 47 - 26 = 21, e) 74 - 62 = 12;
4th Bimester
1) 12, 15, 7, 20, 20; 2) 21, 40, 12, 18; 3) 4, 2, 2, 3; 4) 8, 5, 2, 10; 5) 4 apples.
Test06
07 years old (Grade 2)
1st Bimester
1) 6, 4, 1; 2) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; 3) 0�1, 2+3=5, 1+1=2, 2+1�8; 4) 5; 5) 8 balls.
2nd Bimester
1) 8, 8, 6; 2) a) 5+4=9, b) 6+2=8, c) 2+3=5, d) 6+2=8; 3) a) 4, b) 5, c) 4; 4) a) 5, b) 5, c) 6, d) 1; 5) 2 disks.
3rd Bimester
1) 6 with rest 1, 5 with rest 3, 1 with rest 2; 2) 1 ten and 8 unities;
3) 2, 7, 20+7 = 27; 4) fourth, ninth, second, eighth; 5) a) 39, b) 78, c) 12, d) 98, e) 22;
4th Bimester
1) 7; 2) a) 5x2=10, b) 9x2=18, c) 6x2=12, d) 6x3=18; 3) 4;
4) a) 12, b) 60, c) 12, d) 100, e) 1000; 5) rectangle, circle, triangle, square.
Test07
08 years old (Grade 3)
1st Bimester
1) 3 tens and 8 unities, 9 tens and 2 unities, 7 tens and 5 unities, 4 tens and 9 unities;
2) thirty seven, four hundreds and thirty one, one thousands two hundreds and seventy three;
3) 394, 831, 7662; 4) one thousand, three hundreds and fourty five; 5) VIII, XXXIII, XLI.
2nd Bimester
1) 32; 2) 84, 23, 672, 1141, 1120; 3) 67; 4) 14, 45, 246, 1558; 5) 232, 277.
3rd Bimester
1) 4x8 = 32; 2) 10, 9, 130, 2700, 1312; 3) 84; 4) 5 and 0, 4 and 3, 4 and 0, 7 and 3; 5) 130.
4th Bimester
1) A, C, D, B, B and C; 2) three, four, four;
3) 
4) 
5) 7h15min, 9h, 11h50min, 8h.
Test08
09 years old (Grade 4)
1st Bimester
1) 100; 2) 2594; 3) 351 - millions, 654 - thousands, 217 - unities; 4) 500;
5) a) XLVIII, b) MCCXXXIV, c) DXX, d) XVII.
2nd Bimester
1) a) 4932, b) 356832, c) 1829, d) 360871; 2) a) Comutative, b) neuter element, c) associative; 3) 56;
4) a) 8... 40 = 55, b) 10... 7 ... 70 - 21 = 49, c) 8x5... 32 + 40 = 72, d) ...5 + 12x6 = 60 + 72 = 132,
e) 13...10... = 130 - 70 = 60;
5) a) 135 rest 0, b) 154 rest 3, c) 708 rest 0, d)1706 rest 29.
3rd Bimester
1) a) 17, b) 25, c) 8, d) 7; 2) a) 5/8, b) 3/10, c) 1/8, d) 7/12; 3) a) 4/5, b) 6/7, c) 4/12 = 1/3, d) 8;
4) a) .3, b) .7, c) .1, d) .9, e) .4; 5) a) 1.59, b) 1.035, c) 1.4572, 57.324.
4th Bimester
1) a) 6 unities, b) 4 unities, c) 7 unities; 2) a) 21000, b) 480, c) 4.25, d) .4; 3) a) 64.5 cm, b) 60 cm;
4) a) 500, b) 750; 5) $.50
Test09
10 years old (Grade 5)
1st Bimester
1) {0, 1, 2, 3, 4, 5}; 2) A={3, 5, 7, 18, 80, 125};
3) three hundreds thousands, seven hundreds and fourty five; 4) 4596; 5) unity of million.
2nd Bimester
1) a) 47294, b) 27, c) 24, c) 6, e) 5;
2) a) 7...14 (Distributive), b) ...6=180 (Associative), c) 28 (neuter), d) ...17=51 (Comutative);
3) a) 18, b) ...7...t=9: 4) a) 1...3...5...15, b) sum, c) two; 5) a) 7, b) 72.
3rd Bimester
1) a) umproper, b) proper, c) apparent, d) proper, e) proper; 2) a) 6, b) 2, c) 1, d) 2...3;
3) a) 22/15, b) 3/10, c) 15/14, d) 109/12; 4) a) 1.53125, b) 824.97, c) 8;
5) a) 56, b)...60 m = 18 m, c) ...400 = $ 488, d) 100....15...= 1.15x200 kg = 230 kg.
4th Bimester
1) point, straight line, plane; 2) a) triangle, b) quadrilateral, c) octogon, d) decagon;
3) 278.4 cm; 4) a) 36 m2, b) 28 cm2 c) 63 m2, d) 55 cm2; 5) 1232 cm3.
Test10
11 years old (Grade 6)
1st Bimester
1) a) F, b) F, c) T, d) T; 2) a) {0, 1}, b) �; 3) a) =, b) �, c) =; 4) a) �, b) �, c) �;
5) A�B={0, 1, 2, 3, 4, 5, 6}, A�B={2, 3}.
2nd Bimester
1) a) 3541, b) 6205, c) 8139, d) 31725; 2) a) 3, b) 6, c) 9, d) k; 3) a) 15, b) 5...=9, c) 13-6=x;
4) a) Distributive, b) Comutative, c) Neuter elementer of the multiplication, d) Associative;
5) a) 8, b) 7, c) 3, d) 6, e) 9.
3rd Bimester
1) a) 34, b) 53, c) 72, d) 26; 2) a) 57, b) 73, c) 38, d) (2.5)6; 3) a) 3, b) 2, c) 4, d) 9, e) 10;
4) a) -2, b) 12, c) -24, d) -2, e) -6; 5) a) 8:7 + 12:7 - 11:7, b) x:5 - 2:5, c) 8�9 - 8�y, d) 53y3.
4th Bimester
1) a) 0.07, b) .5, c) .0017, d) 2.9, e) .531; 2) a) 16.911, b) 16.1837, c) -6.58205, d) 50, e) .2419;
3) T, F, T, F, T, F, T, F, T; 4) a) 23.45 m, b) 12.456 m, c) 3.28 m2, d) 45000000 m2, e) .052 m3, f) 239000 g;
5) a) P=60 m, A=225 m2, b) P=8p m, A=16p m2, c) P=22 m, A=24 m2, d) V=125 m3, e) V=48p m2.
Test11
12 years old (Grade 7)
1st Bimester
1) M3 = {0, 3, 6, 9, 12, ...}, M10 = {0, 10, 20, 30, 40, ...}; 2) 5;
3) 4+5+7+2+1+2 = 21, it's divisible by 3 (yet 2+1 = 3); 4) 180 = 22.32.5;
5) a) 22.3.5 and 5, b) 22.32 and 6, c) 23.52.7 and 5, d) 22.3.7 and 14.
2nd Bimester
1) 6/8, 9/12 and 12/16; 2) a) 19/10, b) 1; 3) a) -9/14, b) 6/35, c) -9/10, d) 20/63;
4) a) 443/675, b) 2/3; 5) 48.
3rd Bimester
1) a) 5, b) 3, c) 2; 2) a) 1/2, b) -2/3, c) 11/2, d) 1; 3) a) 45/8, b) 24/11, c) -7/5;
4) h=12 m, b=17 m; 5) a) x � 6/5, b) x < -7/12, c) x �-16/3, d) x < 2.
4th Bimester
1) a) 9.6, b) 15, c) 21; 2) 39/2; 3) 15%; 4) 30�; 5) a) 19 m, b) 24 cm, c) 26 m.
Test12
13 years old (Grade 8)
1st Bimester
1) 4 and 9; 2)5, 14 and 15, 3) 2.5, 4) 4/9 and 37/1000; 5) a) I, b) I, c) Q, d) I.
2nd Bimester
1) a) a-b, b) (x+y)2; 2) a) 26, b) 3/4; 3) q(x) = 6x+9, r(x) = 13x - 12; 4) 4x2 + 4xy3 + y6; 5) (x-y)(w+z).
3rd Bimester
1) a) (x-1) and x2-1, b) (x+3) and (x-3)(x2+6x+9); 2) a) 3/m, b) 1/3; 3) 7; 4) {4/33, -5/33}; 5) a=28, p=19.
4th Bimester
1) 40� and 130�; 2) x=43�, y=43�; 3) a) 14, b) 35; 4) 40� and 80�; 5) 15�.
Test13
14 years old (Grade 9)
1st Bimester
1) a) 81, b) -16, c) 1/25, d) 27/64; 2) 38; 3) �3; 4) �42; 5) 5�(73).
2nd Bimester
1) a) x2 - 4x + 12 = 0, b) 3x2 + 32x + 26 = 0; 3) a) {0, 2}, b) {-1/3, +1/3}; 3) a) {1/2, 3}, b) {3, 5};
4) S = m+n, P = mn, T = {m, n}; 5) (4, 2) or (-4, -2).
3rd Bimester
1) 
2) Yes, it's a function from A to B; 3) a) 6, b) -3, c) 
4) a) f(2)=0, b) x=2 or x=4, c) down (a < 0); 5) xv = 2, yv = -1/2.
4th Bimester
1) 26.25 cm and 15.75 cm; 2) 3.6 and 6.4; 3) 13 cm; 4) (4p-8) cm2 5) 8/17, 15/17, 8/15.
Test14
15 years old (Grade 10)
1st Bimester
1) 0< x< 3; 2) -2 <x< 14; 3) one of them: 31/20; 4) �2; 5) No: number 2 in A is not used.
2nd Bimester
1) R-{3/5}; 2) y=(2/3)x+(13/3), 13/3; 3) -2/3�x�2;
4) (-3/2, -41/4), (-3-�(41))/2, (-3+�(41))/2, y�-41/4;
5) Draw the lines: left side: (-2, 1), (-1, -1), right side: (-1/2, -2), (0, -1), (1, 1)
3rd Bimester
1) x=3/5; 2) -1�x�0; 3) 1/6; 4) -2.631; 5) 4.
4th Bimester
1) 7p/3; 2) 3p/4+2kp, k whole; 3) -�(3)/2; 4) -1/2; 5) {p/3+2kp, p+2kp, 5p/3+2kp; k whole}.
Test15
16 years old (Grade 11)
1st Bimester
1) cosx=-2�(10)/7, secx=-7�(10)/20, cscx=7/3, tanx=-3�(10)/20; 2) tan2x=2�(14)/5;
3) p=4p/3, D=R (real numbers), Im=[-2, 2]; 4) 924; 5) 4/243.
2nd Bimester
1) 256 (0 to 255); 2) 210; 3) S={2, 4}; 4) 64x6-576x5+2160x4-4320x3+4560x2-2916x+729;
5) 5/18.
3rd Bimester
1) (a11=0, a12=-1, a21=3, a22=2, a31=8, a32=7); 2) (a11=-5, a12=-18, a21=18, a22=7),
(a11=-5, a12=-6, a21=-6, a22=25); 3) S={x�R|x<1 or x>4}; 4) (0, 1, 6) and (1, 0, 1), for example;
5) S={(1, 0, 1)}.
4th Bimester
1) V=14; 2) 2160o; 3) d=7�5 cm; 4) AT=484 cm2; 5) A=1296pcm2, V=7776pcm3.
Test16
17 years old (Grade 12)
1st Bimester
1) Q(1, 1) or Q(4, 4); 2) M(1, 5);
3) m=-3/7, r:3x+7y-22=0; 4) In Ox: P(3/5, 0), In Oy: Q(0, -3); 5) m1=2/3, m2=2/3, d=�(13)/2.
2nd Bimester
1) (x-2)2+(y+1)2=9; 2) C(5, -1), r=4; 3) r2=9, d2C,r=9/5: secant; 4) (x-1)2=16(x+1)2;
5)F1(0, -�7), F2(0, �7), df=2c=2�7, E=c/a=�7/4.
3rd Bimester
1) S={3-i, 3+i}; 2) -7/26 - 17i/26; 3) z=4(cos5p/3+isin5p/3); 4) z=-32-32i;
5) cos(p/6)+isin(p/6), cos(5p/6)+isin(5p/6), cos(3p/2)+isin(3p/2).
4th Bimester
1) No, it's divisible only by x-1; 2) S={-2i, 2i, 1}; 3) Mn=10, Md=9;
4) Sd=3.935 (division by 40 in the variance); 5) P'(x)=12x3+6x2-6x+7.
Test17
