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
900000-320000=580000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
581887-(122155+283170)=176562
Conversant 1.1 in
-6+3=-3
Conversant 1.5 in
-670307-6323=-676630
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
16×125÷20=100
Cognizant 5.3 ip
31×(60×2)=3720
Cognizant 6.3 ip
54÷27×(98×7)=1372
Remainder 1.3 ip
680÷90=7(50)
Multiplier 1.4 ip
50000×140=7000000
Divisor 1.3 ip
816÷24=34
Numeracy 0.2 ip
629+42÷6=636
Numeracy 0.3 ip
4200-600÷20-3362=808
Numeracy 1.3 ip
132÷11+8000=8012
Numeracy 2.3 ip
975×100-50×1350=30000
Numeracy 3.2 ip
980-(10+15)×32=180
Numeracy 3.3 ip
3513-135÷(57+78)=3512
Divisor_ENG 1.3 ip
9000÷12=750
Remainder_ENG 1.3 ip
477÷87=5(42)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
70.2-39.4+6=36.8
Partitive 1.1 dp
1.6+8.4=10
Partitive 1.2 dp
85.7-32.7=53
Partitive 2.1 dp
9.6-1-3.2=5.4
Partitive 2.2 dp
76.2-61.2+31=46
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
Partitive 3.2 dp
85-(30.1+7.8)=47.1
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
1.9×5=9.5
Denary 2.1 dp
7.2÷1.8=4
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
46÷0.8=57.5
Fraction Examples
Numerator 1.1 fp
7/9-1/3=4/9
Comparisons
Natural 0.4 ip
416595 < 610000
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
6+1 > -4-3
Ceil 1.1 in
9 > -4
Ceil 2.1 in
7-10 < -2-0
Ceil 3.1 in
-8÷2 < -4÷2
Point 1.1 dp
50.6 < 50.8
Point 2.1 dp
10.3+85.5 > 71.2-13.2
Improper 1.1 fp
1/10 < 2/3
Improper 1.2 fp
90/47 < 4/1
Improper 2.1 fp
5/6-1/3 < 1/2+1/6
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
45×(14+x)=720
Linear 3.3 ip
30+x÷65=41
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
52×(x+9)=936
Lineal 1.1 in
-1+x=-8
Lineal 2.1 in
x÷(-10)=1
Rounding
Rounding 1.1 dp
48.1≈48
Rounding 2.1 dp
15.3+24.9≈40
Round 0.1 ip
986-19≈97
Round 0.2 ip
3×1404≈42
Round 0.3 ip
856596÷247≈3
Round 1.3 ip
844542≈845
Round 2.2 ip
9959-168≈98
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
5×43≈22
Round 3.2 ip
1004×8≈80
Round 3.3 ip
8969×52≈466
Language Exercises
Russian Vocabulary 1.4
ор гинальный
Russian Vocabulary 3.3
сост заться
English Vocabulary 1.3
cr am
English Vocabulary 2.3
cen ral
Lexicon 1.3
chick n [hen]
Infinitive 2.1
mislay [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
-(1-0)-(1-7)=5
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
-9+9=0
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
13-6-2=5
Conversant 2.3 in
28+70-92=6
Conversant 3.1 in
-10+(10+10)=10
Conversant 3.2 in
-1+(11-18)=-8
Conversant 3.3 in
33+(-37+1)=-3
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(16-18)+(3-20)=-19
Conversant 4.3 in
-(68-40)+(40+60)=72
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
955×464=443120
Cognizant 2.4 ip
320970÷390=823
Cognizant 3.4 ip
125×40=5000
Cognizant 4.4 ip
144×625÷9=10000
Cognizant 5.4 ip
720÷(4×2)=90
Cognizant 6.4 ip
4900÷49÷(50÷25)=50
Multiplier 1.5 ip
5470×2657=14533790
Divisor 1.4 ip
60000÷30=2000
Intellect 0.1 in
24+(-26-15)×3=-99
Intellect 1.1 in
15÷5-38=-35
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
48+(19-14)×7=83
Logics 0.1 in
5×(-3)×(-2)=30
Logics 1.1 in
12÷2=6
Logics 2.1 in
-16÷4×2=-8
Logics 3.1 in
-5×(-5×(-2))=-50
Logics 4.1 in
24×(-4)÷(-2×(-2))=-24
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
Partitive 0.3 dp
87.87-(81.18+5.01)=1.68
Partitive 1.3 dp
62.72-32.71=30.01
Partitive 2.3 dp
12.65+34.4+40.93=87.98
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
Split 0.1 dn
-2.8-5+7.1=-0.7
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
2-9.2=-7.2
Split 1.2 dn
6-69=-63
Split 2.1 dn
-4+2.1-2.4=-4.3
Split 2.2 dn
-69.5+99.4-60.7=-30.8
Split 3.1 dn
2.9-(-1.8+3)=1.7
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
15÷5=3
Divisional 1.2 dp
6.3÷4.5=1.4
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
1.75×0.8=1.4
Denary 2.2 dp
1.98÷24.75=0.08
Denary 3.2 dp
4×0.01=0.04
Denary 4.1 dp
1.7×4÷0.8=8.5
Denary 5.1 dp
72÷(4.5×6.4)=2.5
Definition 0.1 dp
36÷4.8+0.6×20=19.5
Definition 1.1 dp
3.5×1.6+27.1=32.7
Definition 2.1 dp
2.8÷0.5-3×1.1=2.3
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
-30.6+19.2÷9.6+83.9=55.3
Residual_ENG 1.1 dp
40÷2=20
Divisional_ENG 1.2 dp
0.38÷0.02=19
Fraction Examples
Numerator 0.1 fp
2/5-1/5=1/5
Numerator 0.2 fp
1/35+(6/35+1/45)=2/9
Numerator 1.2 fp
33/4-3/4=15/2
Numerator 2.1 fp
1/3-1/9+4/9=2/3
Numerator 2.2 fp
43/9+5/9+2/3=6/1
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
Denominator 0.1 fn
1/5+3/10+1/4=3/4
Denominator 1.1 fn
2/3+1/3=1/1
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
13/15×61/13=61/15
Fragment 2.1 fp
14/3×3/2×1/7=1/1
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1216/57=64/3
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
100 > -74
Ceil 0.3 in
873 > -188
Ceil 1.2 in
59 = 59
Ceil 1.3 in
268 > -563
Ceil 2.2 in
-4+57 > 24+13
Ceil 2.3 in
-119-609 < 360-610
Ceil 3.2 in
36÷(-3) > -2×50
Ceil 3.3 in
832÷2 > 660÷6
Point 0.1 dp
22.8÷6 = 0.5×7.6
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
50 > 42.67
Point 1.3 dp
63.298 > 40
Point 1.4 dp
316.199 < 316.219
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
3×0.9 < 0.5×15
Point 3.2 dp
2.6×2.4 < 80×0.69
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
Doted 0.2 dn
58.53-7.3 > -81.46+100
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
-7.61 = -7.61
Doted 2.1 dn
-1.2+100 > 54.4-37.4
Doted 2.2 dn
-55.36+7.36 > -23.6-24.42
Doted 3.1 dn
1.5×16.8 > -2.5×(-8)
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
43/11-21/11 < 5/4+7/4
Improper 1.3 fp
92/397 < 8/11
Improper 2.2 fp
1/3+25/8 > 23/3-241/42
Improper 2.3 fp
1129/13-596/13 > 1/8+7/8
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
Improper 3.2 fp
3/4×16/27 < 348/65÷116/13
Descent 1.1 fn
7/8 > -2/5
Descent 1.2 fn
9/8 > -1/4
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
Lineal 0.1 in
x×3=3
Lineal 0.2 in
-58-x=32
Lineal 1.2 in
x+74=-11
Lineal 1.3 in
x+56=-24
Lineal 2.2 in
-2×(-x)=62
Lineal 2.3 in
-x÷(-4)=97
Lineal 3.1 in
2×x-10=10
Lineal 3.2 in
2+x÷2=-43
Lineal 4.1 in
(-x+6)×3=9
Lineal 4.2 in
-6×(-72+x)=72
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
21.52≈21.5
Rounding 1.2 dp
50.35≈50.4
Rounding 1.3 dp
22.004≈22
Rounding 2.2 dp
7.21+28.36≈35.6
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
9.9×8.9≈88
Rounding 3.2 dp
40×1.5≈60
Language Exercises
Russian Vocabulary 2.4
орат р
English Vocabulary 3.3
un form
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
rebuild rebuilt [rebuild]
Infinitive 3.1
drive [drive]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
680+660-570=770
Conversant 0.5 in
-(490404+962336)+(718683+734057)=0
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
-858-(-510-219)=-129
Conversant 3.5 in
-662785+(-133960+573745)=-223000
Conversant 4.4 in
-(695-404)+(581-440)=-150
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
(730-880)÷(-6-9)=10
Intellect 1.2 in
-68÷4-536=-553
Intellect 2.2 in
63+141×10-594=879
Intellect 3.2 in
(-60-75)÷(15+12)=-5
Logics 0.2 in
48÷(4×(-3))=-4
Logics 1.2 in
22×22=484
Logics 2.2 in
-20×25÷2=-250
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
0+(592.791-78.683)=514.108
Partitive 1.4 dp
589.082-100=489.082
Partitive 2.4 dp
100+282.387-273.755=108.632
Partitive 3.4 dp
423.627+(374.827-30)=768.454
Split 0.3 dn
27-88=-61
Split 0.4 dn
-582.667+45+112.667=-425
Split 1.3 dn
-95.63+65.28=-30.35
Split 1.4 dn
-112.271+452.92=340.649
Split 2.3 dn
-69.23+90.32-50.09=-29
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-96.68-(60.52-98.2)=-59
Split 3.4 dn
389.203+(-574.956+293)=107.247
Residual 1.2 dp
77÷28=2.75
Divisional 1.3 dp
22.08÷0.3=73.6
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
18.81÷13.75=1.368
Denary 1.3 dp
0.8×54.675=43.74
Denary 2.3 dp
22.44÷1.6=14.025
Denary 3.3 dp
1.728÷3.456=0.5
Denary 4.2 dp
18.4÷7.36÷1.25=2
Denary 4.3 dp
1.92×1.5÷0.048=60
Denary 5.2 dp
(10.35×1.2)÷3.6=3.45
Denary 5.3 dp
(14.25×2.16)÷1.35=22.8
Definition 0.2 dp
2.5÷(0.72+1.78)×9=9
Definition 1.2 dp
0.5×5+45.5=48
Definition 1.3 dp
54×1.76-67.04=28
Definition 2.2 dp
93.2-28.8÷22.5÷0.4=90
Definition 2.3 dp
29.175-91×1.02÷4=5.97
Definition 3.2 dp
(4.26+12.38)÷(1.2+11.8)=1.28
Negatory 0.1 dn
94.3+2÷0.8-77.3=19.5
Negatory 0.2 dn
54.96-2.7÷10×30=46.86
Negatory 1.2 dn
-73.12+31.92÷11.2=-70.27
Negatory 1.3 dn
-26.24-34.56÷6=-32
Negatory 2.2 dn
-0.7×10.2+10×0.01=-7.04
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
28.98÷5.152=5.625
Fraction Examples
Numerator 0.3 fp
227/3-2/3-118/3=107/3
Numerator 1.3 fp
1135/12-793/12=57/2
Numerator 2.3 fp
4/15+272/5+25334/645=20198/215
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
Denominator 0.2 fn
1/2-(-1/10-2/5)=1/1
Denominator 1.2 fn
-299/30+3/2=-127/15
Denominator 1.3 fn
1239/19-327/19=48/1
Denominator 2.2 fn
-7/9-5/9-26/21=-18/7
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
6/7÷4/35×1/10=3/4
Fragment 1.3 fp
61/2÷244/77=77/8
Fragment 2.2 fp
33/2×9/11÷9/4=6/1
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
(35/4÷7/5)÷25/3=3/4
Reduction 1.3 fp
2460/2697=820/899
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
89/2-1/2×3/16=1421/32
Limited 2.1 fp
(1/2+1/6)÷2/3=1/1
Complete 0.1 fn
-4/3÷(-2/3-2/3)=1/1
Complete 1.1 fn
-14/5-2/3×9/10=-17/5
Complete 1.2 fn
148/5÷1924/55+210/13=17/1
Complete 2.1 fn
-(7/3+20/3)÷9/2=-2/1
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
403632 > 402954
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-2×8 > 168000÷(-4)
Point 0.3 dp
79.322÷17 > 93.24÷31.08
Point 0.4 dp
951.3÷6.795 > 880.516÷9.1
Point 2.4 dp
925.983-860.483 < 48.669+24.331
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
Doted 0.3 dn
-55.176÷(-1.254) < 62.15÷1.243
Doted 1.3 dn
-42.984 < -18.471
Doted 1.4 dn
546.477 < 635.778
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
-608.343+941.567 < 43+534.115
Doted 3.3 dn
44.67÷(-1.489) < 58.62÷1.954
Improper 0.3 fp
8/1 < 95/1
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
Descent 0.1 fn
1/5 > -1/2
Descent 0.2 fn
127/21 > 256/63
Descent 1.3 fn
21517/250 > -6359/75
Descent 2.2 fn
9/1-12/5 < 22/13+194/39
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
x×44+770=110
Lineal 3.3 in
29×x+848=-892
Lineal 4.3 in
-768÷(x+873)=-256
System 1.1 ip
x-y=3
Rounding
Language Exercises
Russian Vocabulary 1.5
семант ка
Russian Vocabulary 3.4
м тежный
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
str king
Lexicon 1.4
ever body [all]
Infinitive 2.2
woke [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-6712-(92+1333)×53=-82237
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
3984-3780÷270+3513=7483
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
10000÷10÷(-25×(-4))=10
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
-1680÷2÷(-6)=140
Logics 3.3 in
(-800÷(-25))÷(-4)=-8
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
100÷16=6.25
Denary 0.4 dp
102.6÷0.8=128.25
Denary 1.4 dp
1.65×0.02=0.033
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
4×0.012=0.048
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
Definition 0.3 dp
42.84÷4.284+20.586=30.586
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
46.08÷1.125-10.175=30.785
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
29.08-(28.195-25.995)÷27.5=29
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
-1.14÷(-0.586-5.414)÷0.01=19
Negatory 1.4 dn
499.778-523.71÷0.828=-132.722
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
Negatory 3.3 dn
-43.69-91.392÷(32.875-49.875)=-38.314
Negatory 3.4 dn
(0.503+0.091)×(1+8)=5.346
Residual_ENG 1.3 dp
96÷40=2.4
Fraction Examples
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
Fragment 0.3 fp
205/13×78/41=30/1
Fragment 3.3 fp
532/15÷(63/2÷189/4)=266/5
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
105/2÷315/404-181/3=7/1
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
Complete 0.2 fn
1/2×26/3+103/3=116/3
Complete 1.3 fn
6/11÷72/55-473/804=-23/134
Complete 2.2 fn
-(49/2-51/2)×5/53=5/53
Comparisons
Doted 0.4 dn
-60.698÷(-4.4) > -856.26÷60.3
Doted 3.4 dn
-343.387÷20.14 < 44.33÷2.6
Descent 0.3 fn
-25723/440 > -1001/17
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
Quadratic 0.1 in
-x2+7x-10=0
Quadratic 1.1 in
4x2=256
Quadratic 2.1 in
-5x2+10x=0
Quadratic 3.1 in
3x2-3x-6=0
System 0.1 ip
10y+10x=200
System 1.2 ip
x-y=14
System 2.1 ip
y×13x=520
System 3.1 ip
4x+6y=100
Set 0.1 in
-y-x=-5
Set 1.1 in
y+x=6
Set 2.1 in
-144x÷4y=-108
Set 3.1 in
7x-10y=140
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
cal ulation
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
repr duce
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
contrib te [promote]
Infinitive 1.3
win won [win]
Infinitive 3.2
bend [bend]
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