Age Restriction
This page contains a set of links to mathematical exercises. They are ordered by age restriction. For each age, there are corresponding exercises grouped into separate categories. Expand the lists and see the proposed options for mathematical examples.
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
854257-584457=269800
Beginner 4.5 ip
170000+63167+23111=256278
Beginner 5.5 ip
76400+(845413-391813)=530000
Conversant 1.1 in
-4-3=-7
Conversant 1.5 in
47000-651290=-604290
Conversant 2.1 in
8-5-2=1
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
55×3×5=825
Cognizant 5.3 ip
(300÷6)×180=9000
Cognizant 6.3 ip
51×17×(10÷2)=4335
Remainder 1.3 ip
882÷10=88(2)
Multiplier 1.4 ip
20000×467=9340000
Divisor 1.3 ip
1479÷29=51
Numeracy 0.2 ip
370-384÷128=367
Numeracy 0.3 ip
1100×63-312÷78=69296
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
5240-10×16×24=1400
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
720÷8=90
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
72.6+9=81.6
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
94.6-2.6=92
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
17.4+2+58.6=78
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
3.3÷0.6=5.5
Denary 1.1 dp
6.8×8=54.4
Denary 2.1 dp
68.4÷3.8=18
Denary 3.1 dp
44.8÷2=22.4
Divisional_ENG 1.1 dp
1.8÷3=0.6
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
585389 > 324258
Natural 3.4 ip
490000÷50 > 544×18
Ceil 0.1 in
0+10 > -9+10
Ceil 1.1 in
4 > 3
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
8÷(-2) > -2×4
Point 1.1 dp
76 = 76
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
27/4 > 2/3
Improper 2.1 fp
3/5+1/5 = 3/10+1/2
Equations
Linear 0.2 ip
18+48÷x=20
Linear 0.3 ip
390-x=0
Linear 3.3 ip
960-x×46=40
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
120×(x-864)=720
Lineal 1.1 in
x-5=0
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
40.6≈41
Rounding 2.1 dp
2.8+54.2≈57
Round 0.1 ip
529≈53
Round 0.2 ip
4×2234≈89
Round 0.3 ip
263×2351≈618
Round 1.3 ip
674799≈675
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
410÷5≈8
Round 3.2 ip
2×1220≈24
Round 3.3 ip
71678×13≈932
Language Exercises
Russian Vocabulary 1.4
ст дёный
Russian Vocabulary 3.3
гр мматика
English Vocabulary 2.3
w rship
English Vocabulary 3.2
n nth
Lexicon 1.3
lly [join]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
7+10-17=0
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
-6+5=-1
Conversant 1.3 in
90-20=70
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
-10-60+39=-31
Conversant 3.1 in
-7-(1-8)=0
Conversant 3.2 in
13+(6-18)=1
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(10+10)+(4+9)=-7
Conversant 4.2 in
(16-11)-(10+5)=-10
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
338×104=35152
Cognizant 2.4 ip
689850÷7=98550
Cognizant 3.4 ip
321×940=301740
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
(450÷75)×382=2292
Cognizant 6.4 ip
39×5×(4×640)=499200
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
72+36×2÷4=90
Intellect 1.1 in
16×3-90=-42
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
(-90÷3)÷(-3)=10
Logics 1.1 in
2×(-9)=-18
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
-10×(-14÷(-7))×(-2)=40
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
Partitive 0.3 dp
31.85+47.76=79.61
Partitive 1.3 dp
42.9+50=92.9
Partitive 2.3 dp
12.65+34.4+40.93=87.98
Partitive 3.3 dp
49.16+(42.87+1.97)=94
Split 0.1 dn
0.1-7.6=-7.5
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
-2-2.9=-4.9
Split 1.2 dn
6-69=-63
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-98.1+66.3-48.6=-80.4
Split 3.1 dn
0.6+(-6.1-2.5)=-8
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
Residual 1.1 dp
72÷5=14.4
Divisional 1.2 dp
10.4÷26=0.4
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
2×1.71=3.42
Denary 2.2 dp
2.24÷1.75=1.28
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
82.8÷23÷4.5=0.8
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
Definition 0.1 dp
64.1+3×2.4=71.3
Definition 1.1 dp
2×0.4+41.5=42.3
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
Residual_ENG 1.1 dp
56÷2=28
Divisional_ENG 1.2 dp
0.14÷2.8=0.05
Fraction Examples
Numerator 0.1 fp
1/3+1/2=5/6
Numerator 0.2 fp
1/3+(1/6+17/2)=9/1
Numerator 1.2 fp
28/5-64/15=4/3
Numerator 2.1 fp
4/5-2/5-3/10=1/10
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
-2/9-5/9=-7/9
Denominator 1.1 fn
1/3-1/6=1/6
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
Fragment 1.1 fp
21/4÷3/2=7/2
Fragment 1.2 fp
23/5×154/23=154/5
Fragment 2.1 fp
1/3×3/2×25/3=25/6
Reduction 1.1 fp
136/24=17/3
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
1/3-1/2×1/6=1/4
Comparisons
Ceil 0.2 in
4×(-4) = 4×(-4)
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
-69 = -69
Ceil 1.3 in
403 > -804
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
-2×33 < -84÷3
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
63.298 > 40
Point 1.4 dp
950.553 > 56.38
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
44.524+26.476 < 98.418-17.608
Point 3.1 dp
99÷11 > 0.8×2.5
Point 3.2 dp
28×1.8 > 18.36÷2
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-1.8 > -42
Doted 1.2 dn
-35.62 < -35.59
Doted 2.1 dn
-91+96.7 > -10.7-9.2
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
13/15×5/13 < 9/10÷6/5
Improper 1.3 fp
67/383 < 75959/766
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
4/5×5/6 = 1/3÷1/2
Improper 3.2 fp
1/4×124/55 > 1/2×76/99
Descent 1.1 fn
-1/10 < 3/5
Descent 1.2 fn
485/62 < 279/34
Descent 2.1 fn
3/5+1/5 > 2/5+1/10
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
-6×(-x)=-36
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
2×x=-94
Lineal 2.3 in
-x÷26=-15
Lineal 3.1 in
-10+x×2=10
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
3.63+27.94≈31.6
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
0.771≈0.77
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
43.163+9.338≈52.5
Rounding 3.1 dp
96÷78.9≈1
Rounding 3.2 dp
2.26×30≈67.8
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
massi e
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
mistake mistaken [mistake]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-287+656=369
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
-478+53+796=371
Conversant 2.5 in
733000+140786-493786=380000
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
-(640-803)-(938-400)=-375
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
-133-4×9×23=-961
Intellect 1.2 in
-90×7-21=-651
Intellect 2.2 in
159+4×6+181=364
Intellect 3.2 in
(280+104)÷(20+4)=16
Logics 0.2 in
760÷40=19
Logics 1.2 in
-17×37=-629
Logics 2.2 in
-10÷5×405=-810
Logics 3.2 in
-4×(5×5)=-100
Logics 4.2 in
-720÷(-36÷3)÷15=4
Divisor_ENG 1.5 ip
1275445÷265=4813
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
457.221-96.696-169.921=190.604
Partitive 3.4 dp
380.021+(381.715+92)=853.736
Split 0.3 dn
3.98-(-13.02-57)=74
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
-560+242.697=-317.303
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-88+222.698+535.302=670
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
555.914-(216.354-296.44)=636
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
0.168÷0.014=12
Denary 0.2 dp
52.5×0.48÷15.75=1.6
Denary 0.3 dp
(75×0.088)÷5.5=1.2
Denary 1.3 dp
3.4×4=13.6
Denary 2.3 dp
2.64÷1.32=2
Denary 3.3 dp
24×0.004=0.096
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
18×2.8×0.115=5.796
Denary 5.2 dp
1.2÷(15×2)=0.04
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
89.87+20×0.38=97.47
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
37.5+18×1.2=59.1
Definition 2.2 dp
5.6×0.5-1.2÷1.5=2
Definition 2.3 dp
19.344+5.76÷48+25.693=45.157
Definition 3.2 dp
(19.41+33.03)÷(89.02-87.64)=38
Negatory 0.1 dn
-78÷1.3+39.1=-20.9
Negatory 0.2 dn
21.57+78÷5.2=36.57
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
74+29.568÷1.2=98.64
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
-4×(65.3-69.3)×0.8=12.8
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
Numerator 0.3 fp
4744/99-(1/5+356/495)=47/1
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
Numerator 3.3 fp
3730/41-(749/9-12637/369)=42/1
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
49/6+1049/90=892/45
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
-23/35+(-338/35+38/5)=-19/7
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
25/2÷25/84=42/1
Fragment 2.2 fp
3/2×1/3÷3/20=10/3
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
Limited 1.2 fp
55/12+12/17÷36/85=25/4
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
39/4-5/2÷10/3=9/1
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
-385/8-213/8×5/71=-50/1
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
-5×(-4) > 875112÷(-8)
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
630045÷13 > 10×2052
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
Point 3.4 dp
5.61×115.2 > 780÷13
Doted 0.3 dn
5.32×(-15) < 64.064÷16
Doted 1.3 dn
18 < 40.871
Doted 1.4 dn
981.991 > -39.637
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
48.789+522.414 > -118.102-318.831
Doted 3.3 dn
44.67÷(-1.489) < 58.62÷1.954
Improper 0.3 fp
13313/275-36909/770 < 8499/112-16791/224
Improper 3.3 fp
1/6÷43/370 > 43/45×63/43
Descent 0.1 fn
1/4+3/4 > 1/1-4/5
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
-449/45+29/3 < 10/1-1/3
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
Descent 3.2 fn
3/8÷1/16 = 9/1×2/3
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
апост л
Russian Vocabulary 3.4
вн запно
English Vocabulary 1.4
effe tively
English Vocabulary 2.4
re sonable
Lexicon 1.4
poi onous [noxious]
Infinitive 2.2
overspill [overspill]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
3224×11+4536=40000
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
5300-4692×45÷15=-8776
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
Logics 0.3 in
500÷(4×5)×100=2500
Logics 1.3 in
20×(-10)=-200
Logics 2.3 in
4×(-750)÷15=-200
Logics 3.3 in
-32×(-25×(-5))=-4000
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
88÷64=1.375
Denary 0.4 dp
115.2÷384=0.3
Denary 1.4 dp
48.4×0.225=10.89
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
42.24÷1.056=40
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
(680÷62.5)×8.925=97.104
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
200.09+(1.189+1.311)×0.06=200.24
Definition 1.4 dp
36.8×27-29.733=963.867
Definition 2.4 dp
589.171+0.9÷36×490=601.421
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
Definition 3.4 dp
899.49+(51+242.76)÷576=900
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
101.99+28.125×19.2=641.99
Negatory 2.4 dn
-758.262-36×0.39-27.698=-800
Negatory 3.3 dn
9.3×(0.614+9.386)÷4=23.25
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
27÷12=2.25
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
(43/50÷43/20)×91/9=182/45
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
Complete 0.2 fn
1/6+1/2÷3/4=5/6
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-(3/44-141/11)÷51/56=14/1
Comparisons
Doted 0.4 dn
-438.714+756.739 > 82.342-199.254
Doted 3.4 dn
928.872÷(-63) < 545.9÷50
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
Descent 2.3 fn
-1/10-373/730 < 1/3+1/1
Descent 3.3 fn
-50/7×(-63/40) > -135/2÷405/314
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
5x2=80
Quadratic 2.1 in
-10x2-70x=0
Quadratic 3.1 in
-x2-6x+16=0
System 0.1 ip
13x÷y=13
System 1.2 ip
x+y=146
System 2.1 ip
720x÷3y=800
System 3.1 ip
7y+7x=84
Set 0.1 in
x+y=-2
Set 1.1 in
x-y=-6
Set 2.1 in
-y×9x=-540
Set 3.1 in
-6x-7y=71
Language Exercises
Russian Vocabulary 2.5
п лицмейстер
English Vocabulary 1.5
suffi iently
English Vocabulary 2.5
unre sonable
English Vocabulary 3.4
sp ritual
Lexicon 1.5
pre entation [introduction]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
hit hit [hit]
Infinitive 3.2
besought [beseech]
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