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
883585-43585=840000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-2+1=-1
Conversant 1.5 in
-402102-388930=-791032
Conversant 2.1 in
-10+7-7=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
(450÷5)÷2=45
Cognizant 6.3 ip
60÷(30÷10)÷2=10
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
22227×233=5178891
Divisor 1.3 ip
4080÷12=340
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
9600+3200÷200×25=10000
Numeracy 1.3 ip
6000+80×175=20000
Numeracy 2.3 ip
3528+81×32×16=45000
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
Divisor_ENG 1.3 ip
5200÷16=325
Remainder_ENG 1.3 ip
263÷27=9(20)
Decimal Examples
Partitive 0.1 dp
9-(9.4-7.5)=7.1
Partitive 0.2 dp
51.9+(12+34.5)=98.4
Partitive 1.1 dp
3.6-0.6=3
Partitive 1.2 dp
0.9+71.2=72.1
Partitive 2.1 dp
4.8+7-2.8=9
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
Partitive 3.2 dp
12.2+(39+3.6)=54.8
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
7.6÷1.9=4
Denary 3.1 dp
15.6÷0.8=19.5
Divisional_ENG 1.1 dp
19÷0.4=47.5
Fraction Examples
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
Natural 0.4 ip
293913÷51 > 128×26
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
-2-0 > -2-3
Ceil 1.1 in
7 < 10
Ceil 2.1 in
-9+2 < -2+3
Ceil 3.1 in
-6÷3 < 4×2
Point 1.1 dp
33.6 < 91.3
Point 2.1 dp
98.1-22.4 < 84.4-5.9
Improper 1.1 fp
8/9 < 1/1
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
1/2-3/10 < 1/2-1/4
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
x+753=903
Linear 3.3 ip
96-x÷2=43
Linear 4.2 ip
76÷(18+x)=2
Linear 4.3 ip
312÷(x-660)=52
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
86.6≈87
Rounding 2.1 dp
9.3+71.7≈81
Round 0.1 ip
691≈69
Round 0.2 ip
6411≈64
Round 0.3 ip
535855≈536
Round 1.3 ip
240012≈240
Round 2.2 ip
30+73≈1
Round 2.3 ip
480880-1191≈480
Round 3.1 ip
832÷2≈42
Round 3.2 ip
9646÷2≈48
Round 3.3 ip
71678×13≈932
Language Exercises
Russian Vocabulary 1.4
сан торий
Russian Vocabulary 3.3
исч зать
English Vocabulary 1.3
loo ely
English Vocabulary 2.3
nless
English Vocabulary 3.2
fr end
Lexicon 1.3
s ream [course]
Infinitive 2.1
miscast [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-5-2=-7
Conversant 0.2 in
-11-0=-11
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
-12+12=0
Conversant 1.3 in
-39+89=50
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
-36+10-42=-68
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
3+(-15+9)=-3
Conversant 3.3 in
-34+(90-37)=19
Conversant 4.1 in
-(0+0)+(4-3)=1
Conversant 4.2 in
-(14-20)-(19-10)=-3
Conversant 4.3 in
-(68-40)+(40+60)=72
Cognizant 0.4 ip
8×125000÷2000=500
Cognizant 1.4 ip
982×594=583308
Cognizant 2.4 ip
293524÷4=73381
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
720÷(4×2)=90
Cognizant 6.4 ip
36300÷(10×11)÷11=30
Multiplier 1.5 ip
65000×1499=97435000
Divisor 1.4 ip
11473÷11=1043
Intellect 0.1 in
-20-96÷6÷8=-22
Intellect 1.1 in
16×3-90=-42
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
-36÷(-12÷(-6))=-18
Logics 1.1 in
70÷5=14
Logics 2.1 in
12÷4×(-2)=-6
Logics 3.1 in
(60÷4)×(-2)=-30
Logics 4.1 in
-5×(6÷3)×9=-90
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
94.08-(75.71-69.07)=87.44
Partitive 1.3 dp
72+22.88=94.88
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
Split 0.1 dn
4.7+(-1-1.1)=2.6
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
Split 1.1 dn
-1.2-5.1=-6.3
Split 1.2 dn
51+45=96
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
8.9+52.4-52.3=9
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
20.4÷0.8=25.5
Denary 0.1 dp
0.5×5.2÷2=1.3
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
1.5÷5×94=28.2
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
95-20.4÷5.1+1.4=92.4
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
32+8÷3.2-4.5=30
Definition 3.1 dp
38.4÷(1.9+7.7)×4.8=19.2
Negatory 1.1 dn
15÷1.5+50=60
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
Numerator 0.1 fp
1/4-1/4+1/7=1/7
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
Numerator 1.2 fp
157/18-83/14=176/63
Numerator 2.1 fp
3/10-1/10+3/10=1/2
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
Denominator 0.1 fn
-1/5+1/3-4/5=-2/3
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
Fragment 1.1 fp
2/5×5/8=1/4
Fragment 1.2 fp
3/2×569/30=569/20
Fragment 2.1 fp
1/2÷3/4÷5/3=2/5
Reduction 1.1 fp
39/6=13/2
Reduction 1.2 fp
550/572=25/26
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
38×(-9) < 680÷4
Ceil 1.2 in
-24 < 48
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
63+36 > -50-32
Ceil 2.3 in
24+386 < 138+529
Ceil 3.2 in
90÷3 < 76÷2
Ceil 3.3 in
-36×(-4) = 720÷5
Point 0.1 dp
4+68.6 < 84.9-12.1
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
1.3 > 1.28
Point 1.3 dp
50.702 < 50.709
Point 1.4 dp
879.642 < 950.264
Point 2.2 dp
1.2+85.77 > 93.05-6.1
Point 2.3 dp
69.162-67.374 < 1.309+34.691
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
7.4-47.6 < 91-26.4
Doted 0.2 dn
9.5 < 89.95
Doted 1.1 dn
37.3 > 20
Doted 1.2 dn
82.65 > -97.27
Doted 2.1 dn
-1.2+100 > 54.4-37.4
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
3/4 < 1/1
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
16/53 < 1/1
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
Lineal 0.1 in
-x÷(-2)=-1
Lineal 0.2 in
-4×(x+76)=56
Lineal 1.2 in
-x-36=4
Lineal 1.3 in
x+720=0
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
1-x÷5=0
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
(-x+6)×3=-3
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
75.8-1.3≈75
Rounding 0.2 dp
61.68×1.4≈86.4
Rounding 1.2 dp
90.51≈90.5
Rounding 1.3 dp
59.997≈60
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
3.977+18.018≈22
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
к нцерт
English Vocabulary 3.3
incl de
Lexicon 2.3
fa rly [quite]
Infinitive 1.2
bleed bled [bleed]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
151-465=-314
Conversant 2.4 in
497+571-180=888
Conversant 2.5 in
-453879-161703+35582=-580000
Conversant 3.4 in
-511-(510-659)=-362
Conversant 3.5 in
-114464-(-343305+181000)=47841
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
6938712÷396=17522
Intellect 0.2 in
52÷2-236=-210
Intellect 1.2 in
-720÷360+520=518
Intellect 2.2 in
430-960÷80+189=607
Intellect 3.2 in
600-27÷(10+17)=599
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
-75÷(-15)×10=50
Logics 3.2 in
(-39÷(-13))×(-40)=-120
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
27-88=-61
Split 0.4 dn
196.204-270.187=-73.983
Split 1.3 dn
-98.05+2.26=-95.79
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
-70-(-97.33-62.67)=90
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
36÷3=12
Divisional 1.3 dp
0.009÷0.09=0.1
Denary 0.2 dp
0.96÷(0.8×0.05)=24
Denary 0.3 dp
18×0.12=2.16
Denary 1.3 dp
2.4×1.33=3.192
Denary 2.3 dp
0.644÷64.4=0.01
Denary 3.3 dp
3.432÷1.716=2
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
31.36×0.1÷2.56=1.225
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
20-8×0.8÷1.6=16
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
38.8-1.3×32×0.5=18
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
Negatory 1.2 dn
95.29-2.24×28=32.57
Negatory 1.3 dn
-4.1×16+93.42=27.82
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
Residual_ENG 1.2 dp
50÷25=2
Divisional_ENG 1.3 dp
3.96÷5=0.792
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
53/13+77/13=10/1
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
1/2+(353/10+26149/620)=9669/124
Denominator 0.2 fn
-15/4+27/8+5/8=1/4
Denominator 1.2 fn
8/13-112/13=-8/1
Denominator 1.3 fn
2440/27-15488/729=50392/729
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
Fragment 0.1 fp
3/2×2/3=1/1
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
(4/3×3/8)÷3/10=5/3
Fragment 3.2 fp
220/7×(25/36×63/50)=55/2
Reduction 1.3 fp
2460/2697=820/899
Limited 0.1 fp
35/4×2/5-17/8=11/8
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
-1/9+14/3×15/7=89/9
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
Ceil 0.4 in
-2×(-18) < 9000×6
Ceil 1.4 in
-33554 < 178325
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
70.062-9.497 > 27.029+9.946
Point 0.4 dp
504.6÷10.092 > 529.414÷11.509
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
-277.04 < -225.364
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
100-666.371 < 86+480.361
Doted 3.3 dn
44.67÷(-1.489) < 58.62÷1.954
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-1/3÷1/26 < 1/2÷(-3/2)
Descent 1.3 fn
-13777/249 < -61/415
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
Lineal 0.3 in
-5-x×30=-815
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-768÷(x+873)=-256
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
мульт пликация
English Vocabulary 1.4
pr ference
English Vocabulary 2.4
c iling
Lexicon 1.4
associ tion [union]
Infinitive 2.2
typecast [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-1687-30×91=-4417
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
-1800-81×20-1980=-5400
Intellect 3.3 in
1694+(2103-977)×50=57994
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
-264÷(-66)=4
Logics 2.3 in
4×(-500)÷(-5)=400
Logics 3.3 in
(-3720÷5)÷(-31)=24
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
Residual 1.3 dp
24÷60=0.4
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
8.1×27.2=220.32
Denary 2.4 dp
0.506÷5.06=0.1
Denary 3.4 dp
1.012÷1.265=0.8
Denary 4.4 dp
46.8÷75×16=9.984
Denary 5.4 dp
75.2×(125×0.05)=470
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
239.904÷940.8+195.996=196.251
Definition 1.4 dp
262.198-1.25×80=162.198
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
Residual_ENG 1.3 dp
63÷24=2.625
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
35/3÷(2/3×1/2)=35/1
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
Limited 0.2 fp
2/3×309/8-701/28=5/7
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
-11/19×57/143-7/26=-1/2
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
Doted 3.4 dn
35×12.288 > 26.496×16
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
2x2=72
Quadratic 2.1 in
2x2-6x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y+x=76
System 2.1 ip
18x÷3y=27
System 3.1 ip
7x+10y=107
Set 0.1 in
9y-8x=-146
Set 1.1 in
y-x=9
Set 2.1 in
-6y÷9x=1
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
п лицмейстер
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
ei hteenth
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
shake shook [shake]
Infinitive 3.2
feel [feel]
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