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
783110+162887-150397=795600
Beginner 4.5 ip
114479+71580+313941=500000
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
4-3=1
Conversant 1.5 in
147594-525292=-377698
Conversant 2.1 in
-5-10+10=-5
Cognizant 0.3 ip
2×1250=2500
Cognizant 4.3 ip
8×200÷10=160
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
51×17×(10÷2)=4335
Remainder 1.3 ip
76÷38=2
Multiplier 1.4 ip
5000×440=2200000
Divisor 1.3 ip
7479÷27=277
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
178+(10+14)÷2=190
Numeracy 3.3 ip
3513-135÷(57+78)=3512
Divisor_ENG 1.3 ip
2847÷39=73
Remainder_ENG 1.3 ip
318÷20=15(18)
Decimal Examples
Partitive 0.1 dp
8.2-0.3-1=6.9
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
9.6-2.5=7.1
Partitive 1.2 dp
72.4-24.6=47.8
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
59.3-57.6+96.1=97.8
Partitive 3.1 dp
8.9-(2.8+5.1)=1
Partitive 3.2 dp
67-(60-44)=51
Divisional 1.1 dp
0.5÷1=0.5
Denary 1.1 dp
1.5×4.6=6.9
Denary 2.1 dp
36÷0.6=60
Denary 3.1 dp
7×1.2=8.4
Divisional_ENG 1.1 dp
1.8÷3=0.6
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
-7 > -8
Ceil 2.1 in
-9-0 < 7+0
Ceil 3.1 in
8÷4 > -10÷(-10)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
12.8+7.6 < 81.5-54.2
Improper 1.1 fp
8/9 > 2/5
Improper 1.2 fp
36/41 > 45/82
Improper 2.1 fp
7/10-1/10 > 5/6-1/3
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
132×(x-606)=660
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
56÷(x+1)=7
Linear 4.3 ip
648÷(x+6)=108
Lineal 1.1 in
-x+10=2
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
48.1≈48
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
15×41≈62
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
263×2351≈618
Round 1.3 ip
142664≈143
Round 2.2 ip
1752+3651≈54
Round 2.3 ip
200960+81480≈282
Round 3.1 ip
3×295≈89
Round 3.2 ip
5770÷10≈6
Round 3.3 ip
183×4033≈738
Language Exercises
Russian Vocabulary 1.4
ст дёный
Russian Vocabulary 3.3
ув жать
English Vocabulary 1.3
r bbish
Lexicon 1.3
stuf [matter]
Infinitive 2.1
misteach [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
10+(-20+1)=-9
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-6+5=-1
Conversant 1.3 in
58-68=-10
Conversant 2.2 in
4-3+9=10
Conversant 2.3 in
37-87+70=20
Conversant 3.1 in
0-(-4-1)=5
Conversant 3.2 in
4-(-11+12)=3
Conversant 3.3 in
16+(54-5)=65
Conversant 4.1 in
(10+5)+(1-9)=7
Conversant 4.2 in
-(20-0)+(9+10)=-1
Conversant 4.3 in
-(40+20)-(52-12)=-100
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
247×239=59033
Cognizant 2.4 ip
214200÷357=600
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
74256÷272×717=195741
Cognizant 5.4 ip
340032÷(28×3)=4048
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
48742×1676=81691592
Divisor 1.4 ip
60667÷19=3193
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
-96÷6-40=-56
Intellect 2.1 in
-4×2+2×49=90
Intellect 3.1 in
(9+3)×(5+2)=84
Logics 0.1 in
2×3×5=30
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-48÷(-2)÷4=6
Logics 3.1 in
(-40÷2)÷2=-10
Logics 4.1 in
-4×(-2)×(3×4)=96
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
Partitive 0.3 dp
80-19.62+39.62=100
Partitive 1.3 dp
11.58+84.27=95.85
Partitive 2.3 dp
12.65+34.4+40.93=87.98
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2+7.7=5.7
Split 0.2 dn
17.8-(100-92.2)=10
Split 1.1 dn
1.4+3.9=5.3
Split 1.2 dn
18.8-93.8=-75
Split 2.1 dn
-1.9+0.6+6.3=5
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
-8.4-(-8.7+1)=-0.7
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
27÷2=13.5
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
0.9×6=5.4
Denary 1.2 dp
82×0.01=0.82
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
1.2÷0.5=2.4
Denary 4.1 dp
93.6÷19.5÷16=0.3
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
14.3-10÷0.8=1.8
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
Definition 3.1 dp
8×(9.9+2)÷17=5.6
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
0.5×12-1.7÷3.4=5.5
Residual_ENG 1.1 dp
18÷3=6
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
19/2-7/10-4/5=8/1
Numerator 1.2 fp
167/18-67/90=128/15
Numerator 2.1 fp
4/5-2/5-3/10=1/10
Numerator 2.2 fp
1/5+39/5-52/7=4/7
Numerator 3.1 fp
4/5-(4/5-7/10)=7/10
Numerator 3.2 fp
1/8+(63/8-58/31)=190/31
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
-1/5+4/5-1/10=1/2
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
42/5÷21/5=2/1
Fragment 1.2 fp
33/2÷99/26=13/3
Fragment 2.1 fp
14/3÷7/6×3/4=3/1
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
1554/77=222/11
Limited 1.1 fp
2/3×6/7+3/7=1/1
Comparisons
Ceil 0.2 in
30+23 > -1-8
Ceil 0.3 in
-735 < 706
Ceil 1.2 in
43 > 16
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
16.7+3.8 > 14.6+5.8
Point 0.2 dp
98.17-11.17 > 64.69-20.63
Point 1.2 dp
2.65 < 5.67
Point 1.3 dp
45.147 > 39.876
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
46.766+8.23 < 97.161-7.524
Point 3.1 dp
67.6÷4 < 73.1÷4.3
Point 3.2 dp
22.4÷3.2 < 62.5×1.28
Doted 0.1 dn
-0.6×(-40) > -57÷(-3)
Doted 0.2 dn
-95.2÷(-1.36) > 99.6÷1.66
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
-98.21 < -69
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
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
66.3÷(-1.95) > 19.44×(-1.75)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
Improper 1.3 fp
8788/105 > 5221/147
Improper 2.2 fp
5/2-185/98 < 2/3+4/3
Improper 2.3 fp
3/17+287/493 < 716/11-10858/319
Improper 3.1 fp
2/3×1/2 > 7/10×2/7
Improper 3.2 fp
1/6×120/59 < 1/2×20/11
Descent 1.1 fn
1/6 < 7/9
Descent 1.2 fn
-373/73 < 5/1
Descent 2.1 fn
3/5+1/5 > 2/5+1/10
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
44÷(-x)=2
Lineal 1.2 in
-97-x=-1
Lineal 1.3 in
770+x=130
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
33×x=-990
Lineal 3.1 in
-x×4+6=2
Lineal 3.2 in
x÷10+1=-1
Lineal 4.1 in
-8÷(-x+4)=-2
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
75.8-1.3≈75
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
17.03≈17
Rounding 1.3 dp
17.177≈17.18
Rounding 2.2 dp
37.17+22.84≈60
Rounding 2.3 dp
29.431-25.435≈4
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
ид альный
English Vocabulary 3.3
incl de
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
rewrite rewrote [rewrite]
Infinitive 3.1
outleap [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-938+(643-435)=-730
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-110-610=-720
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
61+(946-869)=138
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
400000÷400=1000
Intellect 0.2 in
255-2×28×20=-865
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
-140+5×8×23=780
Intellect 3.2 in
(-30-11)×(-8-7)=615
Logics 0.2 in
760÷40=19
Logics 1.2 in
-14÷7=-2
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
2×(-5)×(-100÷(-10))=-100
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
461.965+76+149.369=687.334
Partitive 1.4 dp
588.902-74.629=514.273
Partitive 2.4 dp
480-159.347-96.507=224.146
Partitive 3.4 dp
348.323-(285-96.143)=159.466
Split 0.3 dn
27-88=-61
Split 0.4 dn
-410.306+444.794-299.969=-265.481
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-34-97.91+32.82=-99.09
Split 2.4 dn
401.855+140.627-592.507=-50.025
Split 3.3 dn
20+(79.73-97.84)=1.89
Split 3.4 dn
-396.158-(388.251-24.409)=-760
Residual 1.2 dp
50÷20=2.5
Divisional 1.3 dp
0.018÷2=0.009
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
25.6×0.625=16
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
24×0.004=0.096
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
3.9÷2.6×65=97.5
Denary 5.2 dp
(15.15÷30.3)×0.68=0.34
Denary 5.3 dp
3.78÷(0.224×93.75)=0.18
Definition 0.2 dp
6.88×5+1.04×15=50
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
62.83-0.9÷3×34=52.63
Definition 2.3 dp
3.344÷0.836-8×0.032=3.744
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
56.77+3×10.4=87.97
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
-59.16-87.78÷5.5÷21.28=-59.91
Negatory 2.3 dn
28.743-5.1÷20+61.512=90
Negatory 3.1 dn
-86.9+81÷(67-75.1)=-96.9
Negatory 3.2 dn
-20-(0.76+23.24)÷7.5=-23.2
Residual_ENG 1.2 dp
5÷50=0.1
Divisional_ENG 1.3 dp
0.092÷5.75=0.016
Fraction Examples
Numerator 0.3 fp
811/19+(405/19-1035/149)=8501/149
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
8/7+79/84=25/12
Denominator 1.2 fn
137/21-149/21=-4/7
Denominator 1.3 fn
2440/27-15488/729=50392/729
Denominator 2.2 fn
5/6+191/66-12/77=25/7
Denominator 3.2 fn
11/28+(1/42-491/84)=-38/7
Fragment 0.1 fp
8/3×(1/2×3/2)=2/1
Fragment 0.2 fp
1855/43×(2/3÷5/3)=742/43
Fragment 1.3 fp
49/96×2586/49=431/16
Fragment 2.2 fp
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
10/19×627/10×262/99=262/3
Fragment 3.1 fp
(3/2÷1/4)×1/3=2/1
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
10/3-26/3÷13/4=2/3
Limited 1.2 fp
55/12+12/17÷36/85=25/4
Limited 2.1 fp
(19/2-7/2)×3/2=9/1
Complete 0.1 fn
5/2÷15/8+8/9=20/9
Complete 1.1 fn
9/4×8/7-4/7=2/1
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
(-48/5-2/5)×1/10=-1/1
Comparisons
Ceil 0.4 in
-244716 > -949111
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
-277008-152992 < -246016+935177
Ceil 3.4 in
630045÷13 > 10×2052
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
7.28×7.5 < 1.875×240
Point 2.4 dp
221.193-208.918 < 650-169.011
Point 3.3 dp
0.88×6.6 > 17.4÷3
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
707 > 650
Doted 2.3 dn
-15.399-17.51 > 10-89.552
Doted 2.4 dn
305.864+17.178 < 69.175+253.869
Doted 3.3 dn
4.375×(-2.432) < 42.556÷(-4)
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
Descent 0.1 fn
-1/2-1/2 < 1/1-1/5
Descent 0.2 fn
40/9÷(-60/67) < 5/2×(-12/35)
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
43/11-290/77 > 19/2-139/14
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
Lineal 0.3 in
-x÷(-3)=89
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
40×(-291-x)=400
System 1.1 ip
y-x=0
Rounding
Language Exercises
Russian Vocabulary 1.5
б рельеф
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
est blish
English Vocabulary 2.4
c iling
Lexicon 1.4
a dience [hearing]
Infinitive 2.2
swell [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(10000-4900)÷(144+60)=25
Intellect 1.3 in
-151×82-927=-13309
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
(-2300-35200)÷(6582-6585)=12500
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
495÷(-15)=-33
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
Residual 1.3 dp
9÷24=0.375
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
2.75×0.004=0.011
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
3.12÷(15.6×12.5)=0.016
Definition 0.3 dp
72.842-1.28×15.625=52.842
Definition 0.4 dp
968.241+2.73÷0.624÷7=968.866
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
34.47-(12+7.2)×0.4=26.79
Definition 3.4 dp
8.125×(2.256+1.512)÷13=2.355
Negatory 0.3 dn
74+29.568÷1.2=98.64
Negatory 0.4 dn
456.24-65.17×8÷14=419
Negatory 1.4 dn
-126÷0.672-313.5=-501
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
Negatory 3.3 dn
-72.163-(78.991-85.591)÷1.5=-67.763
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
Residual_ENG 1.3 dp
15÷4=3.75
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-4595/204+110/17+1078/51=61/12
Denominator 3.3 fn
-2081/47+(91/423+53773/846)=39/2
Fragment 0.3 fp
1/7×56/79=8/79
Fragment 3.3 fp
(1/2×2/3)×3237/40=1079/40
Limited 0.2 fp
48/11÷8/33+582/23=996/23
Limited 1.3 fp
28/33×5797/72-5285/297=10003/198
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
100/7-1/3÷7/993=-33/1
Complete 2.2 fn
784/29÷(-19/2-79/2)=-16/29
Comparisons
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
Descent 3.3 fn
-219/4÷(-34091/516) > 95/3÷(-475/183)
Equations
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
9x2=729
Quadratic 2.1 in
3x2-6x=0
Quadratic 3.1 in
-x2+6x-5=0
System 0.1 ip
y-x=3
System 1.2 ip
x-y=0
System 2.1 ip
7y×x=280
System 3.1 ip
9y+5x=140
Set 0.1 in
x+y=-2
Set 1.1 in
x+y=10
Set 2.1 in
414y÷2x=-92
Set 3.1 in
7x-10y=140
Language Exercises
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
engin ering
English Vocabulary 3.4
presu ably
Lexicon 1.5
circ mstance [fact]
Lexicon 2.4
hotograph [image]
Infinitive 1.3
wind wound [wind]
Infinitive 3.2
bend [bend]
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