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
956297-3081-25816=927400
Beginner 5.5 ip
414616+(231968+265750)=912334
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-170136-29800=-199936
Conversant 2.1 in
-1-0-9=-10
Cognizant 0.3 ip
1520÷19=80
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
Remainder 1.3 ip
430÷31=13(27)
Multiplier 1.4 ip
5000×440=2200000
Divisor 1.3 ip
9315÷45=207
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
5200-13×68+2634=6950
Numeracy 1.3 ip
290×16-3379=1261
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
(442-338)×(384-383)=104
Numeracy 3.3 ip
(70+61)×(3822-3318)=66024
Divisor_ENG 1.3 ip
975÷13=75
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
8+1.1=9.1
Partitive 0.2 dp
67.7-6.1-41.9=19.7
Partitive 1.1 dp
5.7-3.5=2.2
Partitive 1.2 dp
63.9-37.9=26
Partitive 2.1 dp
4.6-2.4+4.8=7
Partitive 2.2 dp
67.4+31.9-46.5=52.8
Partitive 3.1 dp
6.4-(6.6-2)=1.8
Partitive 3.2 dp
22.1+(9-0)=31.1
Divisional 1.1 dp
5.7÷1.5=3.8
Denary 1.1 dp
8×2.4=19.2
Denary 2.1 dp
16.4÷0.5=32.8
Denary 3.1 dp
1.8×5=9
Divisional_ENG 1.1 dp
13.8÷0.4=34.5
Fraction Examples
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
Natural 0.4 ip
772000÷193 < 519483÷129
Natural 3.4 ip
5×98 > 48300÷100
Ceil 0.1 in
-7 < 3
Ceil 1.1 in
7 < 10
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
-8÷2 < -4÷2
Point 1.1 dp
32 < 78.2
Point 2.1 dp
85-17.8 > 58.6-56.1
Improper 1.1 fp
3/5 < 1/1
Improper 1.2 fp
454/61 < 25/3
Improper 2.1 fp
1/2+1/4 < 9/10-1/10
Equations
Linear 0.2 ip
4×x+47=47
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
459÷x+539=590
Linear 4.2 ip
(x-94)×16=96
Linear 4.3 ip
220×(795-x)=440
Lineal 1.1 in
10+x=10
Lineal 2.1 in
-x÷3=2
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
41.4+28.7≈70
Round 0.1 ip
529≈53
Round 0.2 ip
5578÷2≈28
Round 0.3 ip
959576÷472≈2
Round 1.3 ip
809804≈810
Round 2.2 ip
6143-1716≈44
Round 2.3 ip
361600+911≈363
Round 3.1 ip
5×43≈22
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
737856÷122≈6
Language Exercises
Russian Vocabulary 1.4
цив лизованный
Russian Vocabulary 3.3
р сток
English Vocabulary 1.3
interes
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
oversee [oversee]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-3-(-6+4)=-1
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
(98-74)+(5+17)=46
Conversant 1.2 in
-14-5=-19
Conversant 1.3 in
-56-21=-77
Conversant 2.2 in
13-6-2=5
Conversant 2.3 in
-67-66+100=-33
Conversant 3.1 in
-3-(9-2)=-10
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
-14+(-13+7)=-20
Conversant 4.1 in
-(3-0)+(8+5)=10
Conversant 4.2 in
-(9+1)-(10+0)=-20
Conversant 4.3 in
(97+48)-(25+73)=47
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
788×777=612276
Cognizant 2.4 ip
340000÷200=1700
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
(500÷2)×40=10000
Cognizant 6.4 ip
2×(4×5)×50=2000
Multiplier 1.5 ip
37500×2240=84000000
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
-20+5×2=-10
Intellect 2.1 in
63-60÷3+54=97
Intellect 3.1 in
65+21÷(26-5)=66
Logics 0.1 in
5×(-3)×(-2)=30
Logics 1.1 in
-2×4=-8
Logics 2.1 in
10×(-7)÷2=-35
Logics 3.1 in
-90÷(-2×9)=5
Logics 4.1 in
80÷2÷(-2×2)=-10
Divisor_ENG 1.4 ip
73374÷21=3494
Decimal Examples
Partitive 0.3 dp
44.53+(53.84-45)=53.37
Partitive 1.3 dp
62.72-32.71=30.01
Partitive 2.3 dp
61.65+7+8.39=77.04
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-7.5+0.5=-7
Split 0.2 dn
-85+66.3-6.3=-25
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
-87.1-7=-94.1
Split 2.1 dn
9.3-7.6+7.8=9.5
Split 2.2 dn
2.4-0.1-80.3=-78
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
6.72÷0.56=12
Denary 0.1 dp
(36÷22.5)÷2=0.8
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
0.62÷2.48=0.25
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
0.6×(0.5×5)=1.5
Definition 0.1 dp
27.3+1.5÷(3.2+11.8)=27.4
Definition 1.1 dp
0.8×100-11.8=68.2
Definition 2.1 dp
10.4-0.8×5+75.7=82.1
Definition 3.1 dp
12-6.8÷(85.7-77.2)=11.2
Negatory 1.1 dn
-32÷12.8+66=63.5
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
64÷5=12.8
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
Numerator 1.2 fp
57/8-85/32=143/32
Numerator 2.1 fp
7/9-1/9-4/9=2/9
Numerator 2.2 fp
3/11-7/88+9/88=13/44
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
1/7+(4/21+397/51)=138/17
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
Denominator 1.1 fn
-7/10+1/5=-1/2
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
3/2×37/6=37/4
Fragment 1.2 fp
92/7÷460/21=3/5
Fragment 2.1 fp
1/2÷1/6×13/7=39/7
Reduction 1.1 fp
132/30=22/5
Reduction 1.2 fp
8300/580=415/29
Limited 1.1 fp
35/4÷7/8-14/3=16/3
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
-833+766 < 5+55
Ceil 1.2 in
65 > -16
Ceil 1.3 in
-365 < 448
Ceil 2.2 in
91-2 > -9-5
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
-7×(-13) > -50÷5
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
2.65 < 5.67
Point 1.3 dp
73.296 = 73.296
Point 1.4 dp
843.617 > 814.01
Point 2.2 dp
99.53-2.7 < 99.04-2.19
Point 2.3 dp
44.524+26.476 < 98.418-17.608
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
29.9÷10 < 18.9÷1.26
Doted 0.1 dn
9.2×(-7.5) > -24×3.2
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
16.5 > -84.3
Doted 1.2 dn
79.32 > 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
-0.8×2 > 40÷(-2)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
6/47+14/47 = 667/94-627/94
Improper 1.3 fp
4092/95 > 2287/55
Improper 2.2 fp
27/82+27/82 < 1/11+53/22
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
30/11×47/14 > 304/33÷64/63
Descent 1.1 fn
4/5 > -1/3
Descent 1.2 fn
367/50 > -503/70
Descent 2.1 fn
1/1-4/5 < 1/2-1/6
Equations
Lineal 0.1 in
-(-3+x)×3=6
Lineal 0.2 in
19×(x+53)=-76
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
-92-x=59
Lineal 2.2 in
x÷15=1
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
6÷x+3=0
Lineal 3.2 in
-40+x×2=92
Lineal 4.1 in
-3×(7+x)=9
Lineal 4.2 in
2×(71+x)=-30
Rounding
Rounding 0.1 dp
17.3÷26≈1
Rounding 0.2 dp
61.68×1.4≈86.4
Rounding 1.2 dp
58.34≈58.3
Rounding 1.3 dp
0.771≈0.77
Rounding 2.2 dp
15.82+23.09≈38.9
Rounding 2.3 dp
79.836+3.283≈83.12
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
д лемма
Lexicon 2.3
gr nd [lordly]
Infinitive 1.2
stick stuck [stick]
Infinitive 3.1
fed [feed]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
680+660-570=770
Conversant 0.5 in
-228532+450000=221468
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
585739-550000-639234=-603495
Conversant 3.4 in
29-(-288-682)=999
Conversant 3.5 in
1000000-(-810000+930000)=880000
Conversant 4.4 in
-(10+596)+(230+530)=154
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
900000÷500=1800
Intellect 0.2 in
-593-384÷(2+2)=-689
Intellect 1.2 in
-90×7-21=-651
Intellect 2.2 in
105×7-765÷153=730
Intellect 3.2 in
326-(-37-39)÷4=345
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
-10×(-20)=200
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
10×10÷(-2×(-5))=10
Divisor_ENG 1.5 ip
2489837÷119=20923
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
47+553=600
Partitive 2.4 dp
400+298.346+158.623=856.969
Partitive 3.4 dp
160.427+(600-260.427)=500
Split 0.3 dn
10-77.38+79.44=12.06
Split 0.4 dn
140+90=230
Split 1.3 dn
15.99-2.66=13.33
Split 1.4 dn
-53.58-836.42=-890
Split 2.3 dn
-25.75-4-7.92=-37.67
Split 2.4 dn
161.485+456.497-517.982=100
Split 3.3 dn
-5.02+(-26.18-8.79)=-39.99
Split 3.4 dn
105.845-(-165.539+141.384)=130
Residual 1.2 dp
99÷12=8.25
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
3.75×0.04=0.15
Denary 0.3 dp
9.6÷1.28=7.5
Denary 1.3 dp
1.25×2.4=3
Denary 2.3 dp
3÷1.875=1.6
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
1.2÷40×70=2.1
Denary 4.3 dp
90.896÷18.4÷2.47=2
Denary 5.2 dp
(15.15÷30.3)×0.68=0.34
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
Definition 1.2 dp
2÷0.8+67.5=70
Definition 1.3 dp
54×1.76-67.04=28
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
95.29-2.24×28=32.57
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
Residual_ENG 1.2 dp
92÷4=23
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
Numerator 0.3 fp
227/3-2/3-118/3=107/3
Numerator 1.3 fp
2437/95+1108/95=709/19
Numerator 2.3 fp
3/7+49734/623-5808/89=15/1
Numerator 3.3 fp
1/2+(15/2+817/141)=1945/141
Denominator 0.2 fn
-105/23+1/4=-397/92
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
-380/13+770/13=30/1
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
Fragment 0.1 fp
4/3×3/8×9/2=9/4
Fragment 0.2 fp
119/11÷1547/33=3/13
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
2/3×1/2×11/4=11/12
Fragment 2.3 fp
3/11÷3/88÷248/27=27/31
Fragment 3.1 fp
(3/2÷1/4)×1/3=2/1
Fragment 3.2 fp
141/8÷(27/2×1/36)=47/1
Reduction 1.3 fp
56368/572=1084/11
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
95/3÷19/28-29/3=37/1
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
2/3-1/2×8/3=-2/3
Complete 1.1 fn
61/8-15/4÷5/9=7/8
Complete 1.2 fn
-569/13+7/11×1969/91=-30/1
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
Ceil 0.4 in
-2×(-18) < 9000×6
Ceil 1.4 in
-527758 < 298286
Ceil 2.4 in
-33000-626579 < 590364-135769
Ceil 3.4 in
-15×(-56320) > 6072×5
Point 0.3 dp
30.683 < 51.991
Point 0.4 dp
504.6÷10.092 > 529.414÷11.509
Point 2.4 dp
206+587.489 < 972.414-40.879
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
6.4×5 < 64.026÷2
Doted 0.3 dn
-6.4×3.125 < -32.14÷(-1.607)
Doted 1.3 dn
-15 < 100
Doted 1.4 dn
-277.04 < -225.364
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
Doted 2.4 dn
-60.014+716.705 > 275.905-143.044
Doted 3.3 dn
28.836÷(-7.2) < 1.25×(-1.584)
Improper 0.3 fp
1394/635 < 2666/85
Improper 3.3 fp
43/65×169/731 < 1313/17×85/303
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
103/241 < 12/17
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
хл стать
Russian Vocabulary 3.4
ккорд
English Vocabulary 1.4
there ore
English Vocabulary 2.4
rema ning
Lexicon 1.4
d pressing [downtrodden]
Infinitive 2.2
beseech [beseech]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
8666-(90+979)×30=-23404
Logics 0.3 in
(60÷(-15))×(-41)=164
Logics 1.3 in
72×(-90)=-6480
Logics 2.3 in
4×(-500)÷(-5)=400
Logics 3.3 in
1600÷(-10×8)=-20
Logics 4.3 in
-5280÷5÷(22×(-2))=24
Decimal Examples
Residual 1.3 dp
47÷8=5.875
Denary 0.4 dp
12.48÷(192÷100)=6.5
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
0.6×0.06=0.036
Denary 4.4 dp
23.04÷102.4×500=112.5
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
Definition 0.3 dp
40.128-0.864÷1.6=39.588
Definition 0.4 dp
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
0.66÷0.825+891.392=892.192
Definition 2.4 dp
377.604-38.556÷0.765-177.715=149.489
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
8.224-(299.981-299.801)×7.6=6.856
Negatory 0.3 dn
18.28+81.328÷(93.353-70.353)=21.816
Negatory 0.4 dn
19.6÷0.875-1.6×5.6=13.44
Negatory 1.4 dn
673.92÷6.5+124.249=227.929
Negatory 2.4 dn
778+56.16×0.025-997.19=-217.786
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
Negatory 3.4 dn
597.818+(13.425+5.575)×4.232=678.226
Residual_ENG 1.3 dp
98÷7=14
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
Fragment 0.3 fp
(78/95×20/39)÷29/57=24/29
Fragment 3.3 fp
460/9×(17/22×77/68)=805/18
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
Limited 1.3 fp
6047/212+9/26÷954/533=1522/53
Limited 2.2 fp
1/6÷(1/4+1/4)=1/3
Complete 0.2 fn
-29/80-18/19÷2/95=-3629/80
Complete 1.3 fn
212/981-19/48×30488/327=-23995/654
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
Descent 0.3 fn
-817/379+99/1 > -1/2-961/10
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
Quadratic 0.1 in
7x2-35x=0
Quadratic 1.1 in
4x2=256
Quadratic 2.1 in
3x2-6x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
x+y=19
System 1.2 ip
x+y=146
System 2.1 ip
6x÷5y=2
System 3.1 ip
2y+5x=70
Set 0.1 in
x+y=-2
Set 1.1 in
y-x=9
Set 2.1 in
-y×9x=-540
Set 3.1 in
10y+4x=128
Language Exercises
Russian Vocabulary 2.5
ижд венчество
English Vocabulary 1.5
a knowledge
English Vocabulary 2.5
a knowledge
English Vocabulary 3.4
ill gal
Lexicon 1.5
emplo ment [business]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
browbeat browbeaten [browbeat]
Infinitive 3.2
bent [bend]
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