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
1000000-0-620000=380000
Beginner 4.5 ip
830000-419071+290692=701621
Beginner 5.5 ip
837822+(150358+9914)=998094
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
-176346+366346=190000
Conversant 2.1 in
4-9-5=-10
Cognizant 0.3 ip
500÷100=5
Cognizant 4.3 ip
23×39×3=2691
Cognizant 5.3 ip
(100×18)÷24=75
Cognizant 6.3 ip
6912÷3÷(8×8)=36
Remainder 1.3 ip
867÷75=11(42)
Multiplier 1.4 ip
60000×100=6000000
Divisor 1.3 ip
9616÷16=601
Numeracy 0.2 ip
451×2-76÷19=898
Numeracy 0.3 ip
1984+(75+277)÷22=2000
Numeracy 1.3 ip
2000-176÷44=1996
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
(460-450)×(3+2)=50
Numeracy 3.3 ip
52+(50+54)×12=1300
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
288÷18=16
Decimal Examples
Partitive 0.1 dp
8.2-0.3-1=6.9
Partitive 0.2 dp
49.5-(11.9+33.2)=4.4
Partitive 1.1 dp
1.6+8.4=10
Partitive 1.2 dp
94.6-2.6=92
Partitive 2.1 dp
3.3+7.4-2.2=8.5
Partitive 2.2 dp
83.7-19.8-36.9=27
Partitive 3.1 dp
8.9-(2.8+5.1)=1
Partitive 3.2 dp
20.5-(26.9-7.1)=0.7
Divisional 1.1 dp
35.2÷0.5=70.4
Denary 1.1 dp
6×6.6=39.6
Denary 2.1 dp
31.6÷4=7.9
Denary 3.1 dp
79.2÷2=39.6
Divisional_ENG 1.1 dp
46÷0.8=57.5
Fraction Examples
Numerator 1.1 fp
1/6+1/2=2/3
Comparisons
Natural 0.4 ip
12×200 < 330981÷7
Natural 3.4 ip
119800÷100 < 403155÷9
Ceil 0.1 in
-7 < -2
Ceil 1.1 in
7 < 10
Ceil 2.1 in
10-5 > 10-9
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
18.6+45 > 14.9+42.9
Improper 1.1 fp
1/9 < 4/5
Improper 1.2 fp
97/11 > 7/4
Improper 2.1 fp
1/2-3/10 < 1/2-1/4
Equations
Linear 0.2 ip
57÷(x-1)=19
Linear 0.3 ip
900÷x+215=245
Linear 3.3 ip
180-720÷x=0
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
312÷(x-660)=52
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
87.6-4.9≈83
Round 0.1 ip
434≈43
Round 0.2 ip
1528≈15
Round 0.3 ip
252375+432481≈685
Round 1.3 ip
142664≈143
Round 2.2 ip
9959-168≈98
Round 2.3 ip
999997-486≈1000
Round 3.1 ip
832÷2≈42
Round 3.2 ip
1117×5≈56
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
орг низм
Russian Vocabulary 3.3
дес тикратно
English Vocabulary 1.3
th rteen
English Vocabulary 2.3
ab ence
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
take [take]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
-13+(20-10)=-3
Conversant 0.3 in
72-76=-4
Conversant 1.2 in
-1+11=10
Conversant 1.3 in
20-42=-22
Conversant 2.2 in
-8-10-2=-20
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
3+(8-1)=10
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
51-(-17-18)=86
Conversant 4.1 in
-(0-7)-(6+6)=-5
Conversant 4.2 in
-(16+2)-(4-2)=-20
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
4×2×3125=25000
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
270000÷750=360
Cognizant 3.4 ip
200×200=40000
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
5600÷(224÷8)=200
Cognizant 6.4 ip
109×(336÷8)÷14=327
Multiplier 1.5 ip
28000×1250=35000000
Divisor 1.4 ip
4725÷25=189
Intellect 0.1 in
-70+2×17=-36
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
(6-66)÷(-2-4)=10
Logics 0.1 in
-18÷(3×(-3))=2
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
-80÷4÷(-2)=10
Logics 3.1 in
(-5×(-12))÷(-10)=-6
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
Partitive 0.3 dp
1.18+13.67+21.89=36.74
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
77.66-41.09+38.06=74.63
Partitive 3.3 dp
66.72+(9.58+4)=80.3
Split 0.1 dn
-2-(-7-3.4)=8.4
Split 0.2 dn
-65.5-19.4=-84.9
Split 1.1 dn
-4.4+5.1=0.7
Split 1.2 dn
16.7+5=21.7
Split 2.1 dn
-4+6.8-4.8=-2
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
-5.2-(0.9-4.3)=-1.8
Split 3.2 dn
10+(28-85.7)=-47.7
Residual 1.1 dp
47÷5=9.4
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
42.24÷64=0.66
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
(0.6×4)÷4.8=0.5
Definition 0.1 dp
63.8-1.6×2.5÷5=63
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
94.7-62.4÷(0.5+0.7)=42.7
Negatory 1.1 dn
7.5-3.2×5=-8.5
Negatory 2.1 dn
-91.4-3.5×13.2÷7=-98
Residual_ENG 1.1 dp
37÷2=18.5
Divisional_ENG 1.2 dp
12÷3.2=3.75
Fraction Examples
Numerator 0.1 fp
1/10+1/5+7/10=1/1
Numerator 0.2 fp
5/6+25/6-33/8=7/8
Numerator 1.2 fp
17/10+81/50=83/25
Numerator 2.1 fp
3/10-1/10+3/10=1/2
Numerator 2.2 fp
1/5+39/5-52/7=4/7
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
5/8+1/4=7/8
Denominator 1.1 fn
-3/10-1/2=-4/5
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
8/5×1/4=2/5
Fragment 1.2 fp
3/2×569/30=569/20
Fragment 2.1 fp
28/3×2/7×3/10=4/5
Reduction 1.1 fp
200/30=20/3
Reduction 1.2 fp
8/80=1/10
Limited 1.1 fp
47/5-2/3÷20/9=91/10
Comparisons
Ceil 0.2 in
-45×2 < -44÷2
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
-80 < -74
Ceil 1.3 in
730 > 554
Ceil 2.2 in
8+8 > 2+9
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
-11×8 < 96÷(-2)
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
Point 0.1 dp
88.2-7.2 > 23+19.2
Point 0.2 dp
35.52÷2.96 = 12.96÷1.08
Point 1.2 dp
80 > 36.8
Point 1.3 dp
65.799 < 77.263
Point 1.4 dp
698.297 < 918.659
Point 2.2 dp
81.45-18.25 > 1.87+0.35
Point 2.3 dp
39.844-21.759 < 80.249-59.756
Point 3.1 dp
98.4÷8.2 < 37÷2
Point 3.2 dp
2.8×22 > 5×6.24
Doted 0.1 dn
28.9 > -84.6
Doted 0.2 dn
-15.77+95 < 36+64
Doted 1.1 dn
-8.8 < 8.9
Doted 1.2 dn
44 > -43.4
Doted 2.1 dn
35.1-5 < 15.9+46.8
Doted 2.2 dn
-9.58-32.98 < -60+48.42
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
Improper 0.1 fp
3/4 < 1/1
Improper 0.2 fp
7/9÷49/8 > 1/42÷1/3
Improper 1.3 fp
92/397 < 8/11
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
403/9-26911/603 < 5/2+251/4
Improper 3.1 fp
8/9×3/8 < 1/10÷1/4
Improper 3.2 fp
11/13÷33/14 < 2/3÷65/99
Descent 1.1 fn
3/4 > -2/5
Descent 1.2 fn
-264/49 < 125/17
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
Lineal 0.1 in
x×3=3
Lineal 0.2 in
20×x-12=68
Lineal 1.2 in
-x+45=0
Lineal 1.3 in
x-9=58
Lineal 2.2 in
100÷(-x)=1
Lineal 2.3 in
-980÷x=-28
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
-93-x×2=67
Lineal 4.1 in
-4÷(-2+x)=-4
Lineal 4.2 in
-36÷(98+x)=18
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
61.68×1.4≈86.4
Rounding 1.2 dp
20.27≈20.3
Rounding 1.3 dp
9.106≈9.11
Rounding 2.2 dp
42.03-2.91≈39.1
Rounding 2.3 dp
98.601-0.651≈97.95
Rounding 3.1 dp
38÷50.3≈1
Rounding 3.2 dp
88.3÷66≈1.3
Language Exercises
Russian Vocabulary 2.4
напр вление
English Vocabulary 3.3
massi e
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
stick stuck [stick]
Infinitive 3.1
daydreamt [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-198-626=-824
Conversant 0.5 in
-340000+470000-406000=-276000
Conversant 1.4 in
-602+442=-160
Conversant 2.4 in
310-770+758=298
Conversant 2.5 in
270263-211719-423939=-365395
Conversant 3.4 in
-511-(510-659)=-362
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
-(707+363)+(546-286)=-810
Conversant 4.5 in
(218460+0)+(862505-807963)=273002
Divisor 1.5 ip
125000÷125=1000
Intellect 0.2 in
99-247÷19=86
Intellect 1.2 in
-553-126÷63=-555
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
(976-64)÷(104-96)=114
Logics 0.2 in
(4×(-25))÷(-20)=5
Logics 1.2 in
22×22=484
Logics 2.2 in
-36×(-2)×9=648
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
-20÷4×(-24÷(-3))=-40
Divisor_ENG 1.5 ip
1500000÷100=15000
Decimal Examples
Partitive 0.4 dp
320.832-72.355+48.523=297
Partitive 1.4 dp
11+151=162
Partitive 2.4 dp
487.916-95.12-202.796=190
Partitive 3.4 dp
465.971-(38.118+306.665)=121.188
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
-553.402-449.17+193.209=-809.363
Split 1.3 dn
-34.48-40.27=-74.75
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
-36.27+86.24-95.42=-45.45
Split 2.4 dn
-321.327+225.967-444.551=-539.911
Split 3.3 dn
-94.58-(-12-47.58)=-35
Split 3.4 dn
376.109+(-347.033-329.076)=-300
Residual 1.2 dp
74÷8=9.25
Divisional 1.3 dp
16.192÷0.352=46
Denary 0.2 dp
86.64÷30.4=2.85
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
1.375×17.92=24.64
Denary 2.3 dp
0.57÷0.95=0.6
Denary 3.3 dp
0.72÷80=0.009
Denary 4.2 dp
2.48×1.25×20=62
Denary 4.3 dp
2.34÷4.5×18=9.36
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
89.87+20×0.38=97.47
Definition 1.2 dp
80.59+0.8×6.25=85.59
Definition 1.3 dp
61.675+0.768÷0.64=62.875
Definition 2.2 dp
60.27+4.32÷8.64×11.14=65.84
Definition 2.3 dp
28.622+9×2.127÷76.572=28.872
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
Negatory 0.1 dn
(12.8+24)÷(-42.2-31.4)=-0.5
Negatory 0.2 dn
-80÷31.25-23=-25.56
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
65.8-1.728×6.25=55
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
-68.375+0.8×0.01÷1.6=-68.37
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
88÷25=3.52
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
7531/86+401/86=3966/43
Numerator 1.3 fp
74/7-29/63=91/9
Numerator 2.3 fp
1943/25-1939/75-29133/740=5549/444
Numerator 3.3 fp
2309/77-(6194/77-797/11)=22/1
Denominator 0.2 fn
25/82+(309/82-293/82)=1/2
Denominator 1.2 fn
1/2+7/10=6/5
Denominator 1.3 fn
-1/5-1/45=-2/9
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
304/9÷3154/81=72/83
Fragment 2.2 fp
9/10÷9/40÷16/23=23/4
Fragment 2.3 fp
1/2×52/29×3/26=3/29
Fragment 3.1 fp
1/7÷(2/5×5/2)=1/7
Fragment 3.2 fp
(13/12×219/13)÷73/24=6/1
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
Complete 0.1 fn
(-1/3-1/6)÷1/3=-3/2
Complete 1.1 fn
-1/2×4/3-22/3=-8/1
Complete 1.2 fn
148/5÷1924/55+210/13=17/1
Complete 2.1 fn
-(2/3+13/3)×1/10=-1/2
Comparisons
Ceil 0.4 in
501900 > -501900
Ceil 1.4 in
855509 > 511530
Ceil 2.4 in
-202637+662637 < 105202+359469
Ceil 3.4 in
-19×4 < -800000÷(-10)
Point 0.3 dp
2.932+11.334 < 95.547-81.263
Point 0.4 dp
914.147 > 914.141
Point 2.4 dp
280.564+165.62 = 730-283.816
Point 3.3 dp
0.75×29.44 < 18.785×4.8
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
88.103 > -88.098
Doted 1.3 dn
9.453 > -26.863
Doted 1.4 dn
-441.303 < 441.295
Doted 2.3 dn
27.506-81.477 < -12.435+66.41
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
1394/635 < 2666/85
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
Descent 0.1 fn
-3/4+1/1 > -1/3-2/3
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
15627/619 > -251/10
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
Descent 3.1 fn
3/5×(-1/2) < -1/3×3/5
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
Lineal 0.3 in
-x×(-30)=-900
Lineal 3.3 in
1000+43×x=1000
Lineal 4.3 in
-(x+467)×88=704
System 1.1 ip
x-y=2
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
к рректный
English Vocabulary 1.4
thorou hly
English Vocabulary 2.4
enor ous
Lexicon 1.4
entert iner [compere]
Infinitive 2.2
outshoot [outshoot]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-932-896÷16-108=-1096
Intellect 1.3 in
-7015-1656÷24=-7084
Intellect 2.3 in
-100×44+35×212=3020
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
Logics 0.3 in
-3300÷(-33)=100
Logics 1.3 in
79×20=1580
Logics 2.3 in
54×15×(-6)=-4860
Logics 3.3 in
1600÷(-10×8)=-20
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
Residual 1.3 dp
48÷2=24
Denary 0.4 dp
1.28×46.875=60
Denary 1.4 dp
57×0.032=1.824
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
1.012÷1.265=0.8
Denary 4.4 dp
213.84÷388.8×411=226.05
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
Definition 0.3 dp
3.521×10+41.58÷2=56
Definition 0.4 dp
1.25×(506.925-314.925)×0.008=1.92
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
302.4÷168+13.328÷7=3.704
Definition 3.3 dp
(0.807+0.153)÷(97-93.16)=0.25
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
-16.712-0.858÷2.288+7.686=-9.401
Negatory 0.4 dn
-1.2×384.8+246.534=-215.226
Negatory 1.4 dn
570-45.9×10.08=107.328
Negatory 2.4 dn
-27.36÷684-2.7÷37.5=-0.112
Negatory 3.3 dn
(10.6+5.4)÷(0.637+0.003)=25
Negatory 3.4 dn
20+(0.534+0.066)÷0.003=220
Residual_ENG 1.3 dp
11÷88=0.125
Fraction Examples
Denominator 0.3 fn
2/3-89/3=-29/1
Denominator 2.3 fn
-12/895+4670/179-68/895=26/1
Denominator 3.3 fn
-8/11+(-3885/88+277/4)=195/8
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
Fragment 3.3 fp
(212/5×33/53)×106/33=424/5
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
Complete 1.3 fn
-2/3÷13/6-35/13=-3/1
Complete 2.2 fn
559/30÷(11/17-742/17)=-13/30
Comparisons
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
Doted 3.4 dn
5×(-13.5) < 231.44÷(-11.572)
Descent 0.3 fn
3681/353 > -268/5
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
-x2-6x+16=0
Quadratic 1.1 in
x2=100
Quadratic 2.1 in
-x2-x=0
Quadratic 3.1 in
2x2-2x-4=0
System 0.1 ip
x+y=19
System 1.2 ip
x-y=14
System 2.1 ip
90y÷10x=30
System 3.1 ip
10x+4y=140
Set 0.1 in
y+3x=-24
Set 1.1 in
-x+y=10
Set 2.1 in
4y×5x=160
Set 3.1 in
10x-2y=-120
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
suffi iently
English Vocabulary 2.5
pro essional
English Vocabulary 3.4
id ntify
Lexicon 1.5
uns ccessful [failed]
Lexicon 2.4
ab ent [gone]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
feel [feel]
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