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
909180+83420=992600
Beginner 4.5 ip
920719-206513-124206=590000
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
-1+4=3
Conversant 1.5 in
23499-299499=-276000
Conversant 2.1 in
-6-4+0=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
7×19×20=2660
Cognizant 5.3 ip
(1000÷20)÷5=10
Cognizant 6.3 ip
5×(3×13)×26=5070
Remainder 1.3 ip
516÷70=7(26)
Multiplier 1.4 ip
2000×309=618000
Divisor 1.3 ip
7033÷13=541
Numeracy 0.2 ip
(39+10)×(10+9)=931
Numeracy 0.3 ip
7600-10×500=2600
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
492+360÷(59-57)=672
Numeracy 3.3 ip
2692+2208÷(115+161)=2700
Divisor_ENG 1.3 ip
6750÷75=90
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
6.2-1-1.4=3.8
Partitive 0.2 dp
33.6+13+53.4=100
Partitive 1.1 dp
5+3=8
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
9.6-1-3.2=5.4
Partitive 2.2 dp
38-33.9+54=58.1
Partitive 3.1 dp
3.8-(9.9-9.1)=3
Partitive 3.2 dp
21.6+(22.2+50.4)=94.2
Divisional 1.1 dp
0.3÷0.2=1.5
Denary 1.1 dp
0.8×42.5=34
Denary 2.1 dp
63.8÷2.2=29
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
95.2÷8=11.9
Fraction Examples
Numerator 1.1 fp
7/9-1/3=4/9
Comparisons
Natural 0.4 ip
20×3 < 8×44
Natural 3.4 ip
104×17 < 25×72
Ceil 0.1 in
5+5 > 8-10
Ceil 1.1 in
6 > -3
Ceil 2.1 in
2-4 < 7+3
Ceil 3.1 in
6÷(-3) = 6÷(-3)
Point 1.1 dp
32.8 < 58
Point 2.1 dp
94.5-79.9 > 14+0.4
Improper 1.1 fp
7/10 > 2/3
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
Linear 0.2 ip
100÷(73-x)=4
Linear 0.3 ip
23+x=697
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
(55-x)×14=70
Linear 4.3 ip
300÷(3+x)=100
Lineal 1.1 in
1-x=1
Lineal 2.1 in
3×x=3
Rounding
Rounding 1.1 dp
37.6≈38
Rounding 2.1 dp
19.1-18.1≈1
Round 0.1 ip
15×41≈62
Round 0.2 ip
9364÷4≈23
Round 0.3 ip
147857≈148
Round 1.3 ip
608331≈608
Round 2.2 ip
10000-7284≈27
Round 2.3 ip
476428-337943≈138
Round 3.1 ip
5×25≈13
Round 3.2 ip
1117×5≈56
Round 3.3 ip
435475×2≈871
Language Exercises
Russian Vocabulary 1.4
экспл атация
Russian Vocabulary 3.3
п рила
English Vocabulary 1.3
st te
English Vocabulary 2.3
w rship
English Vocabulary 3.2
n nth
Lexicon 1.3
stuf [matter]
Infinitive 2.1
oversee [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
6-8+7=5
Conversant 0.2 in
-6-(17-3)=-20
Conversant 0.3 in
-60+10=-50
Conversant 1.2 in
-9-7=-16
Conversant 1.3 in
74-74=0
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
3+(-8+10)=5
Conversant 3.2 in
-8-(1+4)=-13
Conversant 3.3 in
28+(-1-38)=-11
Conversant 4.1 in
(0+6)-(10+0)=-4
Conversant 4.2 in
-(14-20)-(19-10)=-3
Conversant 4.3 in
-(100-100)-(49-19)=-30
Cognizant 0.4 ip
(15360÷24)×265=169600
Cognizant 1.4 ip
350×140=49000
Cognizant 2.4 ip
618240÷2576=240
Cognizant 3.4 ip
763×519=395997
Cognizant 4.4 ip
95040÷96÷11=90
Cognizant 5.4 ip
(200÷4)×1000=50000
Cognizant 6.4 ip
4900÷49÷(50÷25)=50
Multiplier 1.5 ip
71200×1008=71769600
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
-70-20÷(2+2)=-75
Intellect 1.1 in
-96÷6-40=-56
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
-4×3×(14÷2)=-84
Logics 1.1 in
-2×(-9)=18
Logics 2.1 in
40÷(-2)÷(-10)=2
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
83300÷28=2975
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
0.88+53.43+11.69=66
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
-1.9+7=5.1
Split 1.1 dn
-4+2.6=-1.4
Split 1.2 dn
-1.3-54.2=-55.5
Split 2.1 dn
5.2-0.1-2.1=3
Split 2.2 dn
2.4-0.1-80.3=-78
Split 3.1 dn
-8+(-7.7+5.7)=-10
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
8.7÷1.5=5.8
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
15.84÷1.98=8
Denary 3.2 dp
13.8÷60=0.23
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
2×0.4+41.5=42.3
Definition 2.1 dp
6×0.5+3.6÷1.2=6
Definition 3.1 dp
28.2+(59.5-53.9)×7=67.4
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
12.32÷35.2=0.35
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
203/31-109/62=297/62
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
8/25+212/25-34/5=2/1
Numerator 3.1 fp
4/9-(1/6+1/6)=1/9
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
Denominator 0.1 fn
5/6-1/6=2/3
Denominator 1.1 fn
-1/2-1/5=-7/10
Denominator 2.1 fn
3/10-3/5+3/10=0/1
Denominator 3.1 fn
-1/2-(-4/5+1/2)=-1/5
Fragment 1.1 fp
3/4×44/9=11/3
Fragment 1.2 fp
23/5×154/23=154/5
Fragment 2.1 fp
1/5×5/2÷5/8=4/5
Reduction 1.1 fp
68/12=17/3
Reduction 1.2 fp
2016/272=126/17
Limited 1.1 fp
99/10×4/9-18/5=4/5
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
-250-390 < 731+50
Ceil 1.2 in
-10 > -45
Ceil 1.3 in
730 > 554
Ceil 2.2 in
-2+98 > -55+80
Ceil 2.3 in
350+507 = 879-22
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
-25×4 < 990÷9
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
34.13+15.87 < 19.71+53.11
Point 1.2 dp
93.18 = 93.18
Point 1.3 dp
70.202 > 40
Point 1.4 dp
570 < 697.732
Point 2.2 dp
46-9 < 60-22.33
Point 2.3 dp
40-16.233 > 9.441+2.859
Point 3.1 dp
99÷11 > 0.8×2.5
Point 3.2 dp
63.76÷8 > 3.18×2.5
Doted 0.1 dn
-53.9-15.1 < 50.3+12
Doted 0.2 dn
72.72÷(-2.02) > -39×1.38
Doted 1.1 dn
96.6 > 45.6
Doted 1.2 dn
76.46 < 97.17
Doted 2.1 dn
-42-52 < -15.4-11.3
Doted 2.2 dn
-46.71-11.29 < 44.27+13.74
Doted 3.1 dn
-97.2÷1.8 < 2×(-4.4)
Doted 3.2 dn
-5.36×(-2.75) < 73.5÷1.05
Improper 0.1 fp
1/5÷1/2 > 1/3×3/5
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
Descent 1.1 fn
-1/6 > -3/4
Descent 1.2 fn
-253/30 < -129/16
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
-2×x=-4
Lineal 0.2 in
-15×(-x)=60
Lineal 1.2 in
-1+x=49
Lineal 1.3 in
114-x=-4
Lineal 2.2 in
-x÷5=4
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
-10-x×6=-10
Lineal 3.2 in
-93-x×2=67
Lineal 4.1 in
-(x-5)×2=-10
Lineal 4.2 in
2×(71+x)=-30
Rounding
Rounding 0.1 dp
76.8≈77
Rounding 0.2 dp
19.91÷5≈4
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
45.64+15.81≈61.5
Rounding 2.3 dp
93.215-14.163≈79.05
Rounding 3.1 dp
25×1.4≈35
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
н жданный
English Vocabulary 3.3
apolo ize
Lexicon 2.3
ste p [abrupt]
Infinitive 1.2
rewrite rewritten [rewrite]
Infinitive 3.1
laid [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-875-(-494+440)=-821
Conversant 0.5 in
303217-(0-660000)=963217
Conversant 1.4 in
141-391=-250
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
760-(-61+971)=-150
Conversant 3.5 in
521004+(-874424+243978)=-109442
Conversant 4.4 in
-(288+616)-(151-335)=-720
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
-331-(40+17)÷3=-350
Intellect 1.2 in
-270-20×3=-330
Intellect 2.2 in
659-100÷25-277=378
Intellect 3.2 in
(50+50)×(281-276)=500
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
2×30=60
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
315÷(9÷(-3))÷7=-15
Divisor_ENG 1.5 ip
3352043÷391=8573
Decimal Examples
Partitive 0.4 dp
246.738+60-150.738=156
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
246.005+454.479+249.2=949.684
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
370.1-(-19.537+570)=-180.363
Split 1.3 dn
95-11.43=83.57
Split 1.4 dn
344.568-375.72=-31.152
Split 2.3 dn
-9.54-80.12-0.34=-90
Split 2.4 dn
-71.286+418.958-603.672=-256
Split 3.3 dn
-58.66-(5.16+20.98)=-84.8
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
71÷5=14.2
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
86.64÷30.4=2.85
Denary 0.3 dp
0.5×0.12÷30=0.002
Denary 1.3 dp
2.6×15.12=39.312
Denary 2.3 dp
46.24÷5.78=8
Denary 3.3 dp
78.125×0.512=40
Denary 4.2 dp
67.2÷10÷0.5=13.44
Denary 4.3 dp
18×2.8×0.115=5.796
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
90.37-12.5×1.6=70.37
Definition 1.3 dp
36.9×2.71-1.499=98.5
Definition 2.2 dp
39+3.6÷0.75+52.2=96
Definition 2.3 dp
45.752+37.2×0.48+4.908=68.516
Definition 3.2 dp
98.09-(38.79+1.53)÷1.5=71.21
Negatory 0.1 dn
1.2×32-73.5=-35.1
Negatory 0.2 dn
21.57+78÷5.2=36.57
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
20+10×0.033+41.27=61.6
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
50÷25=2
Divisional_ENG 1.3 dp
24.472÷0.46=53.2
Fraction Examples
Numerator 0.3 fp
1295/13-502/13-8495/427=17552/427
Numerator 1.3 fp
53/13+77/13=10/1
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-1/5-1/45=-2/9
Denominator 2.2 fn
757/77-1/3-20/21=94/11
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
1/2÷3/4×9/7=6/7
Fragment 0.2 fp
1/10×20/3÷4/3=1/2
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
12/5×1/3×173/4=173/5
Fragment 2.3 fp
5/2×49/5×57/49=57/2
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
1/6+2/3×1/8=1/4
Limited 1.2 fp
11/13×195/44+235/46=815/92
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
2/3÷1/6-3/2=5/2
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
7/8×496/21+83/20=1489/60
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
Ceil 0.4 in
89146 < 172997
Ceil 1.4 in
-104464 > -559399
Ceil 2.4 in
-109061+979061 > 655123-64353
Ceil 3.4 in
46×(-99) = -396198÷87
Point 0.3 dp
54.048÷3.378 < 12×3.08
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
0.8×88 > 76.292÷19.073
Point 3.4 dp
1.75×39.424 < 92.16×1.575
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
11.471 > -11.454
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
-26.235+81.349 > 37.149-92.266
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
Doted 3.3 dn
-12.75×(-7.84) > 84.424÷(-1.384)
Improper 0.3 fp
13313/275-36909/770 < 8499/112-16791/224
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
Descent 1.3 fn
-39/53 > -16/17
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
2/3×3/4 > -1/5÷(-1/2)
Descent 3.2 fn
-9/4×38/27 > -3/5÷4/65
Equations
Lineal 0.3 in
-(-x+764)×250=-1000
Lineal 3.3 in
29-767÷x=88
Lineal 4.3 in
-756÷(-937+x)=36
System 1.1 ip
y-x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
диф рамб
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
re sonable
Lexicon 1.4
motorc cle [moped]
Infinitive 2.2
woke [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-398+42×2319=97000
Intellect 1.3 in
-930×73+7749=-60141
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
7258-35÷(30+5)=7257
Logics 0.3 in
25×(-19)=-475
Logics 1.3 in
8712÷36=242
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
(50÷(-25))×(-250)=500
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
51÷8=6.375
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
4.5×0.012=0.054
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
0.8×20÷0.04=400
Denary 5.4 dp
(99×5.06)÷3.3=151.8
Definition 0.3 dp
4.32÷28.8+2.16÷1.728=1.4
Definition 0.4 dp
100.006-453.6÷672÷7.5=99.916
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
20.168+(1.552+2.768)×1.35=26
Definition 3.4 dp
769.975+0.72÷(933-904.2)=770
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
Negatory 0.4 dn
329-437.4÷0.6=-400
Negatory 1.4 dn
-103.36÷16+873.055=866.595
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
Negatory 3.3 dn
25.99-(-36.603-11.417)÷2=50
Negatory 3.4 dn
3.85×(970-967)×0.16=1.848
Residual_ENG 1.3 dp
58÷100=0.58
Fraction Examples
Denominator 0.3 fn
-1/10-37/50-35998/675=-7313/135
Denominator 2.3 fn
-26275/289+2/3+77686/867=-11/17
Denominator 3.3 fn
197/9+(604/9-5281/899)=74730/899
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
Fragment 3.3 fp
1/20÷(7/2×1/7)=1/10
Limited 0.2 fp
21/4÷3/32-360/43=2048/43
Limited 1.3 fp
28/33×5797/72-5285/297=10003/198
Limited 2.2 fp
15/7÷(166/19-71/19)=3/7
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
22/119×56/11+273/17=17/1
Complete 2.2 fn
784/29÷(-19/2-79/2)=-16/29
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
-81.34÷(-4.067) > 12.15×(-1.52)
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
20363/732-20561/732 < 4/1+71/2
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
7x2=112
Quadratic 2.1 in
3x2-6x=0
Quadratic 3.1 in
-x2-3x+10=0
System 0.1 ip
8y-3x=50
System 1.2 ip
y+x=31
System 2.1 ip
x×20y=800
System 3.1 ip
2x-y=10
Set 0.1 in
9y-8x=-146
Set 1.1 in
y+x=-1
Set 2.1 in
-11x÷y=-11
Set 3.1 in
-7y-3x=91
Language Exercises
Russian Vocabulary 2.5
б ллон
English Vocabulary 1.5
fo ndation
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
congres
Lexicon 1.5
unempl yment [joblessness]
Lexicon 2.4
anal se [decompose]
Infinitive 1.3
browbeat browbeaten [browbeat]
Infinitive 3.2
sow [sow]
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