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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
354281+581405-260651=675035
 
Beginner 5.5 ip
414616+(231968+265750)=912334
 
 
Conversant 1.5 in
-356865+968629=611764
 
 
Cognizant 0.3 ip
9072÷14=648
 
Cognizant 4.3 ip
210÷14÷15=1
 
Cognizant 5.3 ip
(1000÷20)÷5=10
 
Cognizant 6.3 ip
6912÷3÷(8×8)=36
 
Remainder 1.3 ip
654÷100=6(54)
 
Multiplier 1.4 ip
2250×908=2043000
 
Divisor 1.3 ip
3162÷17=186
 
Numeracy 0.2 ip
930-120÷15+18=940
 
Numeracy 0.3 ip
9600+3200÷200×25=10000
 
Numeracy 1.3 ip
290×16-3379=1261
 
Numeracy 2.3 ip
975×100-50×1350=30000
 
Numeracy 3.2 ip
(30+17)×(210-195)=705
 
Numeracy 3.3 ip
2692+2208÷(115+161)=2700
 
Divisor_ENG 1.3 ip
8897÷31=287
 
Decimal Examples
 
 
Partitive 0.1 dp
2.5+8-3=7.5
 
Partitive 0.2 dp
30.6+39.3+24=93.9
 
 
Partitive 1.2 dp
39.9+45.1=85
 
Partitive 2.1 dp
0.1+3+1=4.1
 
Partitive 2.2 dp
76.2-61.2+31=46
 
Partitive 3.1 dp
9-(0.2+0.8)=8
 
Partitive 3.2 dp
84-(7.9+52)=24.1
 
Divisional 1.1 dp
27.6÷1.5=18.4
 
Denary 1.1 dp
0.8×42.5=34
 
Denary 2.1 dp
12.6÷0.5=25.2
 
Denary 3.1 dp
4×8.8=35.2
 
Fraction Examples
 
 
Numerator 1.1 fp
7/9+1/9=8/9
Comparisons
 
 
Natural 0.4 ip
772000÷193 < 519483÷129
 
Natural 3.4 ip
499904÷214 > 3×64
 
Ceil 0.1 in
-6÷(-3) > -8÷4
 
Ceil 1.1 in
-3 > -10
 
Ceil 2.1 in
7-10 < -2-0
 
Ceil 3.1 in
-2×(-2) > 9÷3
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
20.8+2.3 < 1.1+29.9
 
 
 
Improper 2.1 fp
1/2+1/6 < 1/3+4/9
Equations
 
 
Linear 0.2 ip
(x-70)×8=80
 
 
Linear 3.3 ip
96-x÷2=43
 
Linear 4.2 ip
(x+25)×2=76
 
Linear 4.3 ip
(5+x)×148=740
 
 
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
529≈53
 
Round 0.2 ip
3500+2064≈56
 
Round 0.3 ip
147857≈148
 
Round 1.3 ip
47794≈48
 
Round 2.2 ip
5800-2094≈37
 
Round 2.3 ip
999997-486≈1000
 
Round 3.1 ip
410÷5≈8
 
Round 3.2 ip
8394÷3≈28
 
Round 3.3 ip
870504÷152≈6
Language Exercises
 
 
Russian Vocabulary 1.4
сан торий
 
Russian Vocabulary 3.3
н верное
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
      mislaid       [mislay]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
-4+(-1-0)=-5
 
Conversant 0.2 in
-17+18-20=-19
 
 
 
 
 
Conversant 2.3 in
-65+6+100=41
 
 
Conversant 3.2 in
-10-(17-20)=-7
 
Conversant 3.3 in
90-(100+10)=-20
 
Conversant 4.1 in
-(3-0)+(8+5)=10
 
Conversant 4.2 in
(19+3)-(3+4)=15
 
Conversant 4.3 in
-(40+20)-(52-12)=-100
 
Cognizant 0.4 ip
742×677=502334
 
Cognizant 1.4 ip
729×983=716607
 
Cognizant 2.4 ip
618240÷2576=240
 
Cognizant 3.4 ip
200×200=40000
 
Cognizant 4.4 ip
222000÷5÷6=7400
 
Cognizant 5.4 ip
21×(318×10)=66780
 
Cognizant 6.4 ip
200÷(2×5)×10=200
 
Multiplier 1.5 ip
51004×1300=66305200
 
Divisor 1.4 ip
22400÷32=700
 
Intellect 0.1 in
90÷2-76=-31
 
 
Intellect 2.1 in
28-69÷23-95=-70
 
Intellect 3.1 in
65-(-3-2)×3=80
 
Logics 0.1 in
80÷(-5)=-16
 
Logics 1.1 in
57÷(-3)=-19
 
Logics 2.1 in
-6×4×(-3)=72
 
Logics 3.1 in
(36÷(-2))÷2=-9
 
Logics 4.1 in
-4×(-2)×(3×4)=96
 
Divisor_ENG 1.4 ip
62279÷31=2009
Decimal Examples
 
 
Partitive 0.3 dp
84.72-(22.47+26.2)=36.05
 
Partitive 1.3 dp
47.47-7.76=39.71
 
 
Partitive 3.3 dp
84.01-(77.52-25.51)=32
 
Split 0.1 dn
2-9.3=-7.3
 
Split 0.2 dn
-72.6-5.8=-78.4
 
Split 1.1 dn
3.4+5.9=9.3
 
Split 1.2 dn
-70.3+69.8=-0.5
 
Split 2.1 dn
-1.5-1.5-7=-10
 
Split 2.2 dn
-30.6-32+9.6=-53
 
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
 
Split 3.2 dn
11.3-(-78.9-0.8)=91
 
 
Divisional 1.2 dp
20.4÷0.8=25.5
 
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
 
Denary 1.2 dp
57×0.01=0.57
 
Denary 2.2 dp
3.84÷4.8=0.8
 
Denary 3.2 dp
4×0.06=0.24
 
Denary 4.1 dp
82.8÷23÷4.5=0.8
 
Denary 5.1 dp
(0.6×4)÷4.8=0.5
 
Definition 0.1 dp
30.4-4÷0.5=22.4
 
Definition 1.1 dp
18.8+3.2×3=28.4
 
Definition 2.1 dp
23.4+1.2×45-50=27.4
 
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
 
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
 
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
 
 
Fraction Examples
 
 
Numerator 0.1 fp
4/9+2/9+1/6=5/6
 
Numerator 0.2 fp
19/7-31/14+19/78=29/39
 
Numerator 1.2 fp
5/7+169/28=27/4
 
Numerator 2.1 fp
3/10-1/10+3/10=1/2
 
Numerator 2.2 fp
1/2+1/8+7/24=11/12
 
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
-1/4-1/8+1/8=-1/4
 
Denominator 1.1 fn
5/8-7/8=-1/4
 
Denominator 2.1 fn
-2/5-1/10-1/10=-3/5
 
Denominator 3.1 fn
1/3+(1/6-1/4)=1/4
 
Fragment 1.1 fp
6/5×10/3=4/1
 
Fragment 1.2 fp
1/2×762/29=381/29
 
Fragment 2.1 fp
23/5÷46/5÷7/10=5/7
 
 
 
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
 
 
Ceil 0.2 in
100 > -74
 
Ceil 0.3 in
-22×(-3) = 11×6
 
Ceil 1.2 in
-24 < 48
 
Ceil 1.3 in
678 > -681
 
Ceil 2.2 in
11+18 < 70-0
 
Ceil 2.3 in
169+616 < -50+994
 
Ceil 3.2 in
36÷(-3) > -2×50
 
Ceil 3.3 in
-25×4 < 990÷9
 
Point 0.1 dp
19.6÷1.4 > 74.1÷7.8
 
Point 0.2 dp
1.8×39.2 < 4.14×20
 
Point 1.2 dp
1.3 > 1.28
 
Point 1.3 dp
75.249 > 0.089
 
Point 1.4 dp
811.262 > 811.242
 
Point 2.2 dp
98.73-1.14 > 7.39+0.53
 
Point 2.3 dp
92-90.378 = 0.592+1.03
 
Point 3.1 dp
3×0.9 < 0.5×15
 
Point 3.2 dp
3.6÷2 < 1.44×60
 
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
 
Doted 0.2 dn
58.53-7.3 > -81.46+100
 
Doted 1.1 dn
37.3 > 20
 
Doted 1.2 dn
87.32 > 87.31
 
Doted 2.1 dn
-25-19 < 84.8-67.4
 
Doted 2.2 dn
-55.36+7.36 > -23.6-24.42
 
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
 
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
 
Improper 0.1 fp
3/5-1/10 = 1/4+1/4
 
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
 
Improper 1.3 fp
190/261 < 256/297
 
Improper 2.2 fp
46/5-1/5 > 1/2+7/38
 
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
 
Improper 3.1 fp
1/4÷2/3 = 1/4÷2/3
 
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
 
Descent 1.1 fn
-3/5 > -4/5
 
Descent 1.2 fn
485/62 < 279/34
 
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
Lineal 0.2 in
20×x-12=68
 
 
 
 
Lineal 2.3 in
33×x=-990
 
 
Lineal 3.2 in
40÷x+4=2
 
Lineal 4.1 in
-(x+6)×2=-6
 
Lineal 4.2 in
6×(41-x)=-54
Rounding
 
 
Rounding 0.1 dp
50.5×1.4≈71
 
Rounding 0.2 dp
21.52≈21.5
 
Rounding 1.2 dp
20.35≈20.4
 
Rounding 1.3 dp
11.882≈11.88
 
Rounding 2.2 dp
45.64+15.81≈61.5
 
Rounding 2.3 dp
79.836+3.283≈83.12
 
Rounding 3.1 dp
83÷9.1≈9
 
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
 
 
Russian Vocabulary 2.4
просв щённый
 
 
Lexicon 2.3
restri t [bound]
 
Infinitive 1.2
overshoot overshot       [overshoot]
 
Infinitive 3.1
swear             [swear]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-648+838=190
 
Conversant 0.5 in
-401035-3970=-405005
 
Conversant 1.4 in
-493+602=109
 
Conversant 2.4 in
-543-917+552=-908
 
Conversant 2.5 in
232056+913665-686147=459574
 
Conversant 3.4 in
-858-(-510-219)=-129
 
Conversant 3.5 in
-177674-(234978+201437)=-614089
 
Conversant 4.4 in
(0-479)+(929-218)=232
 
Conversant 4.5 in
-(462475-109721)-(620000-605936)=-366818
 
Divisor 1.5 ip
5932716÷157=37788
 
Intellect 0.2 in
361+10×21=571
 
Intellect 1.2 in
-395+30×41=835
 
Intellect 2.2 in
-457+90÷30-347=-801
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
-210÷(6÷(-3))=105
 
Logics 1.2 in
35×(-26)=-910
 
Logics 2.2 in
-75÷(-15)×10=50
 
Logics 3.2 in
36÷(-12÷2)=-6
 
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
 
Divisor_ENG 1.5 ip
1962083÷379=5177
Decimal Examples
 
 
 
Partitive 1.4 dp
427.596-254.6=172.996
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
427.712+(196.134+257.517)=881.363
 
Split 0.3 dn
-91+16=-75
 
Split 0.4 dn
370.1-(-19.537+570)=-180.363
 
Split 1.3 dn
-60-12=-72
 
Split 1.4 dn
344.568-375.72=-31.152
 
Split 2.3 dn
-69.23+90.32-50.09=-29
 
Split 2.4 dn
543.668-193.87-949.798=-600
 
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
 
Split 3.4 dn
555.914-(216.354-296.44)=636
 
Residual 1.2 dp
77÷28=2.75
 
Divisional 1.3 dp
16.192÷0.352=46
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
(75×0.088)÷5.5=1.2
 
Denary 1.3 dp
3.4×4=13.6
 
Denary 2.3 dp
0.57÷0.95=0.6
 
Denary 3.3 dp
24×0.004=0.096
 
Denary 4.2 dp
43.2÷24÷0.5=3.6
 
Denary 4.3 dp
31.36×0.1÷2.56=1.225
 
Denary 5.2 dp
1.6×(6.25×4)=40
 
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
 
Definition 0.2 dp
52.92÷1.47-19=17
 
Definition 1.2 dp
90.37-12.5×1.6=70.37
 
Definition 1.3 dp
98.091+18.63÷12.42=99.591
 
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
 
Definition 2.3 dp
1.5×1.36+4.752÷1.65=4.92
 
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
 
Negatory 1.2 dn
21.6÷24-93.04=-92.14
 
Negatory 1.3 dn
2.25×18.88+9.439=51.919
 
Negatory 2.2 dn
-4.55-19×0.24×1.25=-10.25
 
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
 
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
 
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
 
 
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
 
 
Numerator 0.3 fp
189/5-1162/65=259/13
 
Numerator 1.3 fp
1/4+7991/180=2009/45
 
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
 
Numerator 3.3 fp
85/19+(466/19-11736/805)=11609/805
 
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
 
Denominator 1.2 fn
137/21-149/21=-4/7
 
Denominator 1.3 fn
3/4+3784/71=15349/284
 
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
 
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
 
Fragment 0.1 fp
3/4÷15/4×25/4=5/4
 
Fragment 0.2 fp
56/13×117/14=36/1
 
Fragment 1.3 fp
1/13×91/15=7/15
 
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
 
Fragment 2.3 fp
1/3÷1/6÷2/97=97/1
 
Fragment 3.1 fp
(20/3÷10/7)×3/2=7/1
 
Fragment 3.2 fp
(2/3÷19/3)×95/41=10/41
 
Reduction 1.3 fp
10782/1422=599/79
 
Limited 0.1 fp
5/4+1/3÷2/9=11/4
 
Limited 1.2 fp
63/2-207/10×100/69=3/2
 
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
 
Complete 0.1 fn
-1/9+14/3×15/7=89/9
 
Complete 1.1 fn
3/4×50/9+5/2=20/3
 
Complete 1.2 fn
7/8×496/21+83/20=1489/60
 
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
 
 
Ceil 0.4 in
-22000 < 978611
 
Ceil 1.4 in
-267915 > -603354
 
Ceil 2.4 in
-109061+979061 > 655123-64353
 
Ceil 3.4 in
-2×8 > 168000÷(-4)
 
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
 
Point 0.4 dp
241.937+48.063 < 320.282+452.885
 
Point 2.4 dp
275.032+76.911 > 864.109-512.178
 
Point 3.3 dp
76.38÷3.819 < 14.72×1.9
 
Point 3.4 dp
496.655÷5.843 > 7.4×11.485
 
Doted 0.3 dn
75.693-50.918 < -9.088+89.088
 
Doted 1.3 dn
11.471 > -11.454
 
Doted 1.4 dn
-931.524 < 220
 
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
 
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
 
Doted 3.3 dn
-10×1.92 < 94.039÷1.133
 
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
 
Improper 3.3 fp
1/5×298/123 < 18673/410×295/142
 
Descent 0.1 fn
3/10 < 1/1
 
Descent 0.2 fn
-17/31×(-38/17) > -48/11×11/8
 
Descent 1.3 fn
-13777/249 < -61/415
 
Descent 2.2 fn
1/3+38/11 < -92/99+971/99
 
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
 
Descent 3.2 fn
-6/1÷(-522/71) > 85/12÷(-425/88)
Equations
 
 
Lineal 0.3 in
-x+940=350
 
Lineal 3.3 in
x÷2+425=0
 
Lineal 4.3 in
-756÷(-937+x)=36
 
Rounding
 
 
Rounding 0.3 dp
48.268+29.768≈78.04
 
Rounding 3.3 dp
100×0.8≈80
Language Exercises
 
 
Russian Vocabulary 1.5
семант ка
 
 
 
 
Lexicon 1.4
h ndredth [centesimal]
 
Infinitive 2.2
shoe             [shoe]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-5067-264÷88=-5070
 
Intellect 1.3 in
7765+96×742=78997
 
Intellect 2.3 in
-1800-81×20-1980=-5400
 
Intellect 3.3 in
1694+(2103-977)×50=57994
 
Logics 0.3 in
25×(-19)=-475
 
 
Logics 2.3 in
25×4÷2=50
 
Logics 3.3 in
(-20×(-25))÷2=250
 
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
 
 
Residual 1.3 dp
47÷8=5.875
 
Denary 0.4 dp
1.12×12.5=14
 
Denary 1.4 dp
0.72×0.225=0.162
 
Denary 2.4 dp
5.28÷0.528=10
 
Denary 3.4 dp
44.46÷247=0.18
 
Denary 4.4 dp
237.6×2÷600=0.792
 
Denary 5.4 dp
2×(0.52×0.025)=0.026
 
Definition 0.3 dp
93.74+(0.894+1.356)×0.02=93.785
 
Definition 0.4 dp
310×0.104+48.75×12.672=650
 
Definition 1.4 dp
1.656÷41.4+695.533=695.573
 
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
 
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
 
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
 
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
 
Negatory 0.4 dn
11.088÷(0.5-0.7)÷0.8=-69.3
 
Negatory 1.4 dn
-3×84.48+93.275=-160.165
 
Negatory 2.4 dn
-0.8×1.5+268.8÷4.8=54.8
 
Negatory 3.3 dn
-4.8÷(-0.564-1.936)÷0.064=30
 
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
 
Fraction Examples
 
 
Denominator 0.3 fn
-2323/312-3205/312=-691/39
 
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
 
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
 
Fragment 0.3 fp
1/7×56/79=8/79
 
Fragment 3.3 fp
460/9×(17/22×77/68)=805/18
 
Limited 0.2 fp
2383/80+13/2×8/5=643/16
 
Limited 1.3 fp
1108/13-10/13÷5/86=72/1
 
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
 
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
 
Complete 1.3 fn
-3/4×142/99+421/990=-322/495
 
Complete 2.2 fn
(-7/18-1/9)÷19/27=-27/38
Comparisons
 
 
Doted 0.4 dn
-156.978 > -748.831
 
Doted 3.4 dn
599.86÷(-29.993) > -57.8×13.2
 
Descent 0.3 fn
-1110/47÷(-3774/109) < -75/1×(-1063/825)
 
Descent 2.3 fn
299/785+46/785 > -3339/157+3183/157
 
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
 
 
 
 
 
 
System 0.1 ip
4y+9x=113
 
 
System 2.1 ip
3y×4x=432
 
System 3.1 ip
9y+5x=140
 
Set 0.1 in
-y-x=-5
 
 
Set 2.1 in
-3y×4x=-960
 
Set 3.1 in
10y+4x=128
Language Exercises
 
 
Russian Vocabulary 2.5
в ттметр
 
 
 
 
Lexicon 1.5
commun cation [giving]
 
Lexicon 2.4
hi tory [past]
 
Infinitive 1.3
misspeak misspoke       [misspeak]
 
Infinitive 3.2
            undercut [undercut]

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