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
957514-57514=900000
Beginner 4.5 ip
354281+581405-260651=675035
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
0-3=-3
Conversant 1.5 in
-356865+968629=611764
Conversant 2.1 in
-3-1-5=-9
Cognizant 0.3 ip
40×21×2=1680
Cognizant 4.3 ip
5152÷56×94=8648
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
19×(26×40)÷2=9880
Remainder 1.3 ip
680÷90=7(50)
Multiplier 1.4 ip
8648×270=2334960
Divisor 1.3 ip
4800÷10=480
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
4248+(4260-4228)÷16=4250
Numeracy 1.3 ip
712×83+365=59461
Numeracy 2.3 ip
3659-34×20+1204=4183
Numeracy 3.2 ip
276+(45-44)×37=313
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
8449÷71=119
Remainder_ENG 1.3 ip
810÷67=12(6)
Decimal Examples
Partitive 0.1 dp
5.4+1.6=7
Partitive 0.2 dp
51.9+(12+34.5)=98.4
Partitive 1.1 dp
8.3-6.3=2
Partitive 1.2 dp
47.1+3.6=50.7
Partitive 2.1 dp
5.3+6.1-6=5.4
Partitive 2.2 dp
39.9+29+5.1=74
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
48.6÷1.2=40.5
Denary 1.1 dp
3×6.6=19.8
Denary 2.1 dp
39.6÷0.8=49.5
Denary 3.1 dp
7×1.2=8.4
Divisional_ENG 1.1 dp
1.8÷0.5=3.6
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
484530÷310 < 510705÷13
Ceil 0.1 in
-7 < 3
Ceil 1.1 in
9 > -4
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
-2×(-4) > 2×(-2)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
454/61 < 25/3
Improper 2.1 fp
3/5-1/10 < 1/2+1/6
Equations
Linear 0.2 ip
60+x×9=96
Linear 0.3 ip
x÷5=90
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
15×(x-44)=30
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
x-5=0
Lineal 2.1 in
x×7=-7
Rounding
Rounding 1.1 dp
45.1≈45
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
97+168≈27
Round 0.2 ip
3×1404≈42
Round 0.3 ip
952217-132070≈820
Round 1.3 ip
674799≈675
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
407998+154241≈562
Round 3.1 ip
820÷4≈21
Round 3.2 ip
87×13≈11
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
фильм тека
Russian Vocabulary 3.3
гр мматика
English Vocabulary 1.3
cr am
English Vocabulary 2.3
st ff
English Vocabulary 3.2
ncome
Lexicon 1.3
un form [outfit]
Infinitive 2.1
misteach [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
1-(-1-3)=5
Conversant 0.2 in
-20+5=-15
Conversant 0.3 in
10-98+21=-67
Conversant 1.2 in
-19+2=-17
Conversant 1.3 in
-30+40=10
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
32-100-21=-89
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
0-(-2-16)=18
Conversant 3.3 in
51-(-17-18)=86
Conversant 4.1 in
(10-7)+(10-8)=5
Conversant 4.2 in
(12+6)-(19-20)=19
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
352×301=105952
Cognizant 2.4 ip
960÷3=320
Cognizant 3.4 ip
155×982=152210
Cognizant 4.4 ip
25×16×1000=400000
Cognizant 5.4 ip
(250000÷5)÷250=200
Cognizant 6.4 ip
336400÷116×(270÷10)=78300
Multiplier 1.5 ip
25348×3347=84839756
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
-88+12×3÷2=-70
Intellect 3.1 in
50+(-28-30)×2=-66
Logics 0.1 in
5×(-3)×(-2)=30
Logics 1.1 in
4×6=24
Logics 2.1 in
-16÷4×2=-8
Logics 3.1 in
(-4×(-5))÷2=10
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
Partitive 0.3 dp
49.36-38.41-8.02=2.93
Partitive 1.3 dp
96.8-20=76.8
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
8.06+(27.11-0)=35.17
Split 0.1 dn
-2+7.7=5.7
Split 0.2 dn
-92.4-5.7+76=-22.1
Split 1.1 dn
6.3-4.4=1.9
Split 1.2 dn
18.8-93.8=-75
Split 2.1 dn
9.3-7.6+7.8=9.5
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
3.7-(-3-2.4)=9.1
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
Residual 1.1 dp
38÷5=7.6
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
4.4×8=35.2
Denary 1.2 dp
3.75×2.4=9
Denary 2.2 dp
3.84÷4.8=0.8
Denary 3.2 dp
25.6÷6.4=4
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
Definition 0.1 dp
83.1-0.5×20=73.1
Definition 1.1 dp
11.1+3.8×3=22.5
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
(91.2-87.9)÷(0.5+0.6)=3
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Residual_ENG 1.1 dp
44÷4=11
Divisional_ENG 1.2 dp
27.36÷0.36=76
Fraction Examples
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
3/10+841/90=434/45
Numerator 2.1 fp
7/9-4/9+1/2=5/6
Numerator 2.2 fp
49/8-409/72+59/9=7/1
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
23/11+(87/11-238/33)=92/33
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-1/2-1/2=-1/1
Denominator 2.1 fn
-1/5+6/7-4/5=-1/7
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
3/5÷21/5=1/7
Fragment 1.2 fp
1/2×762/29=381/29
Fragment 2.1 fp
15/2×4/5×2/9=4/3
Reduction 1.1 fp
200/30=20/3
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
Ceil 0.2 in
1+0 > 2-63
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
-69 = -69
Ceil 1.3 in
-139 = -139
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-872+812 > -336-83
Ceil 3.2 in
-99÷3 < 2×42
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
88.2-7.2 > 23+19.2
Point 0.2 dp
58.56÷7.32 < 0.5×80
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
70.202 > 40
Point 1.4 dp
210.97 > 155.721
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
44.524+26.476 < 98.418-17.608
Point 3.1 dp
6.6×0.5 < 58.5÷5
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
85.6-28.2 > -34.1+85.4
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
-50.4 < -39.1
Doted 1.2 dn
-24.65 < 24.63
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
13/15×5/13 < 9/10÷6/5
Improper 1.3 fp
71115/751 > 344/5
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
139/2-439/766 > 477/8-19/8
Improper 3.1 fp
4/9÷1/2 > 3/5×1/3
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
5/7 > 2/3
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
1/1-1/5 > -1/2-1/4
Equations
Lineal 0.1 in
x+4=-6
Lineal 0.2 in
56÷(x+78)=7
Lineal 1.2 in
3+x=0
Lineal 1.3 in
-x+943=0
Lineal 2.2 in
-x÷11=-1
Lineal 2.3 in
-760÷x=76
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-3×(7+x)=9
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
0.44+9.58≈10
Rounding 1.2 dp
86.75≈86.8
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
13.135+55.407≈68.54
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
мит нг
English Vocabulary 3.3
massi e
Lexicon 2.3
s ider [arachnid]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
swear [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
680+660-570=770
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
161-770=-609
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
-325759+772245-446486=0
Conversant 3.4 in
-229-(346+83)=-658
Conversant 3.5 in
866806+(-785762+337452)=418496
Conversant 4.4 in
(50+199)-(544-575)=280
Conversant 4.5 in
-(13176+36770)-(381752+462858)=-894556
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
361+10×21=571
Intellect 1.2 in
450÷30+259=274
Intellect 2.2 in
105×7-765÷153=730
Intellect 3.2 in
837+(-751-209)÷60=821
Logics 0.2 in
-17×25=-425
Logics 1.2 in
22×22=484
Logics 2.2 in
40×(-10)÷(-5)=80
Logics 3.2 in
(-60÷5)÷(-4)=3
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
4834050÷195=24790
Decimal Examples
Partitive 0.4 dp
93.016+363.889-433.397=23.508
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
480-159.347-96.507=224.146
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
-40+43.29=3.29
Split 0.4 dn
440.198+399.032=839.23
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
161.045-911.045=-750
Split 2.3 dn
-9.54-80.12-0.34=-90
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
73÷25=2.92
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
52.5×0.48÷15.75=1.6
Denary 0.3 dp
9.6÷1.28=7.5
Denary 1.3 dp
3.4×4=13.6
Denary 2.3 dp
1.68÷0.56=3
Denary 3.3 dp
5.76÷1.152=5
Denary 4.2 dp
1.1×2.4÷3=0.88
Denary 4.3 dp
3.125×12.8×0.88=35.2
Denary 5.2 dp
(20.99÷83.96)×0.8=0.2
Denary 5.3 dp
0.022×(62.5×0.032)=0.044
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
31.02+51.84÷8.64=37.02
Definition 1.3 dp
1.2×0.005+84.66=84.666
Definition 2.2 dp
53.24-6.84÷4.5+23.26=74.98
Definition 2.3 dp
44.236-34.56÷22.5÷1.2=42.956
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
82.5÷(0.93+5.32)×4.5=59.4
Negatory 1.2 dn
15.84×2+30=61.68
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
Negatory 2.2 dn
82.2-0.65×0.2+7.99=90.06
Negatory 2.3 dn
63.385-0.6×0.015+34.894=98.27
Negatory 3.1 dn
-86.9+81÷(67-75.1)=-96.9
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
84÷6=14
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-2/3-47/6+55/6=2/3
Denominator 3.2 fn
-2/3+(8/15-38/15)=-8/3
Fragment 0.1 fp
3/4×2/3×2/3=1/3
Fragment 0.2 fp
6/7÷4/35×1/10=3/4
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
Fragment 2.3 fp
5/2×49/5×57/49=57/2
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
Fragment 3.2 fp
(464/25÷116/5)×25/28=5/7
Reduction 1.3 fp
184/23=8/1
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
82/3+138/5÷207/40=98/3
Limited 2.1 fp
27/4÷(1/2+1/4)=9/1
Complete 0.1 fn
-(1/2+1/10)×7/6=-7/10
Complete 1.1 fn
-3/5-4/5÷1/8=-7/1
Complete 1.2 fn
2/29+5/6÷145/18=5/29
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
89146 < 172997
Ceil 1.4 in
-267915 > -603354
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-737178÷(-2) > -148508÷(-2)
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
2.304×37.5 > 10.236÷1.706
Point 3.4 dp
50.6×0.75 < 33.12×1.25
Doted 0.3 dn
70.126 = 70.126
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
707 > 650
Doted 2.3 dn
-27.286+98.194 > -2-0.119
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
Doted 3.3 dn
1.4×(-61.2) < -57.116×1.5
Improper 0.3 fp
167/2÷835/618 > 15/2÷30/247
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
-6/1÷(-42/5) > 1/2×(-1/2)
Equations
Lineal 0.3 in
90×(-769+x)=540
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
талантл вый
English Vocabulary 1.4
festi al
English Vocabulary 2.4
rema ning
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
shoot [shoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-312÷104+7700=7697
Intellect 1.3 in
3121-168÷8=3100
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
3168÷2÷(-4)=-396
Logics 1.3 in
-83×80=-6640
Logics 2.3 in
-170÷17÷2=-5
Logics 3.3 in
-528÷(16×(-3))=11
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
20÷80=0.25
Denary 0.4 dp
102.6÷0.8=128.25
Denary 1.4 dp
23×0.002=0.046
Denary 2.4 dp
230.4÷19.2=12
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
(4×0.011)÷2=0.022
Definition 0.3 dp
43.901+7.429÷40.375=44.085
Definition 0.4 dp
239.904÷940.8+195.996=196.251
Definition 1.4 dp
762.4+8.832×3.125=790
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
824.723+3.2÷(0.5+0.3)=828.723
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
9.375×0.096-20÷12.5=-0.7
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
18÷24=0.75
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
54145/724-3/4×2701/543=12861/181
Limited 2.2 fp
(1/5+3/85)×629/98=74/49
Complete 0.2 fn
19/3÷(-5/9-10/63)=-133/15
Complete 1.3 fn
-6450/617+274/9×216/137=23166/617
Complete 2.2 fn
(-7/18-1/9)÷19/27=-27/38
Comparisons
Doted 0.4 dn
-330 > -800
Doted 3.4 dn
928.872÷(-63) < 545.9÷50
Descent 0.3 fn
6200/103-24595/412 < 5/51+19/24
Descent 2.3 fn
-3339/256-20141/256 < -1/4-123/320
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
-x2-3x-2=0
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
-10x2-70x=0
Quadratic 3.1 in
-x2-6x+16=0
System 0.1 ip
y-x=8
System 1.2 ip
y-x=27
System 2.1 ip
90y÷10x=30
System 3.1 ip
9y+5x=140
Set 0.1 in
-x+y=13
Set 1.1 in
x+y=10
Set 2.1 in
4y×5x=160
Set 3.1 in
-10y-10x=0
Language Exercises
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
increa ingly
English Vocabulary 3.4
appre iate
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
mathem tics [maths]
Infinitive 1.3
redo redone [redo]
Infinitive 3.2
sleep [sleep]
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