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
259242+(953998-698000)=515240
Beginner 4.5 ip
956297-3081-25816=927400
Beginner 5.5 ip
994942-(472617+153626)=368699
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
-74568-307000=-381568
Conversant 2.1 in
5+9-4=10
Cognizant 0.3 ip
1242÷27×48=2208
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
120÷(15÷3)=24
Cognizant 6.3 ip
19×(26×40)÷2=9880
Remainder 1.3 ip
436÷67=6(34)
Multiplier 1.4 ip
583×610=355630
Divisor 1.3 ip
7350÷49=150
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
541+12×12+15=700
Numeracy 1.3 ip
9108÷12-59=700
Numeracy 2.3 ip
9357-1200÷600×1219=6919
Numeracy 3.2 ip
319-171÷(550-379)=318
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
7991÷61=131
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
7.7-3.3=4.4
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
5.4+4.4=9.8
Partitive 1.2 dp
12.1+34.9=47
Partitive 2.1 dp
1.5+2.1+0.6=4.2
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
Partitive 3.2 dp
84-(7.9+52)=24.1
Divisional 1.1 dp
0.5÷1=0.5
Denary 1.1 dp
0.6×60=36
Denary 2.1 dp
63.8÷2.2=29
Denary 3.1 dp
2×8.9=17.8
Divisional_ENG 1.1 dp
10.8÷0.6=18
Fraction Examples
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
Natural 0.4 ip
300830+407403 < 880295-31818
Natural 3.4 ip
5×98 > 48300÷100
Ceil 0.1 in
-2×2 < -4÷(-4)
Ceil 1.1 in
-7 < 3
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
2×2 > 9÷3
Point 1.1 dp
83.3 > 59.9
Point 2.1 dp
89.4-60.8 > 76-62.2
Improper 1.1 fp
1/5 < 3/4
Improper 1.2 fp
36/41 > 45/82
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
Linear 0.2 ip
2×x=72
Linear 0.3 ip
x+753=903
Linear 3.3 ip
85+x×83=915
Linear 4.2 ip
(x+5)×5=30
Linear 4.3 ip
648÷(x+6)=108
Lineal 1.1 in
x+3=-7
Lineal 2.1 in
x×(-5)=-10
Rounding
Rounding 1.1 dp
45.6≈46
Rounding 2.1 dp
73.2-9.5≈64
Round 0.1 ip
671÷11≈6
Round 0.2 ip
304+2279≈26
Round 0.3 ip
255711≈256
Round 1.3 ip
425693≈426
Round 2.2 ip
30+73≈1
Round 2.3 ip
945024-244674≈700
Round 3.1 ip
516÷2≈26
Round 3.2 ip
87×13≈11
Round 3.3 ip
317850÷489≈1
Language Exercises
Russian Vocabulary 1.4
ст дёный
Russian Vocabulary 3.3
р сток
English Vocabulary 1.3
e pire
English Vocabulary 2.3
de erted
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
outridden [outride]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
12+(8-4)=16
Conversant 0.3 in
-51+41=-10
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-93-5=-98
Conversant 2.2 in
-9-7+0=-16
Conversant 2.3 in
-100+56+14=-30
Conversant 3.1 in
10-(-5+5)=10
Conversant 3.2 in
-10-(17-11)=-16
Conversant 3.3 in
-34+(90-37)=19
Conversant 4.1 in
(9-3)-(8+5)=-7
Conversant 4.2 in
-(13+10)+(17-1)=-7
Conversant 4.3 in
-(60+49)+(79+11)=-19
Cognizant 0.4 ip
300×1800=540000
Cognizant 1.4 ip
550×456=250800
Cognizant 2.4 ip
630÷3=210
Cognizant 3.4 ip
756588÷14=54042
Cognizant 4.4 ip
384÷48×403=3224
Cognizant 5.4 ip
216÷(18×2)=6
Cognizant 6.4 ip
200×38÷(190×4)=10
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
60000÷30=2000
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
25÷5+6=11
Intellect 2.1 in
57÷3+2×10=39
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
-64÷(2×(-2))÷(-4)=-4
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
-6×4×(-3)=72
Logics 3.1 in
-5×(-5×(-2))=-50
Logics 4.1 in
10×(-3)÷(5×(-2))=3
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
49.24+21.71-63.09=7.86
Partitive 3.3 dp
8.06+(27.11-0)=35.17
Split 0.1 dn
3.8+1.1=4.9
Split 0.2 dn
-92.4-5.7+76=-22.1
Split 1.1 dn
3.4+5.9=9.3
Split 1.2 dn
-79.5+64=-15.5
Split 2.1 dn
-4+6.8-4.8=-2
Split 2.2 dn
55.5-97.7-35.3=-77.5
Split 3.1 dn
0.8-(5.7+5)=-9.9
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
Residual 1.1 dp
52÷4=13
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
1.25×2.52=3.15
Denary 2.2 dp
2.24÷1.75=1.28
Denary 3.2 dp
1.92×1.25=2.4
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
Definition 0.1 dp
63.8-1.6×2.5÷5=63
Definition 1.1 dp
16.4-35.2÷8=12
Definition 2.1 dp
51-0.5×5-40.5=8
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
Negatory 1.1 dn
-10.2-15.6÷2.4=-16.7
Negatory 2.1 dn
-34÷8.5+0.6×30=14
Residual_ENG 1.1 dp
67÷5=13.4
Divisional_ENG 1.2 dp
1.28÷4=0.32
Fraction Examples
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
Numerator 1.2 fp
1/18+1/9=1/6
Numerator 2.1 fp
7/9-4/9+1/2=5/6
Numerator 2.2 fp
99/19-23/19-17/19=59/19
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
Denominator 1.1 fn
5/8-7/8=-1/4
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
Fragment 1.1 fp
3/4×68/7=51/7
Fragment 1.2 fp
2/5÷1/5=2/1
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
1200/50=24/1
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
Ceil 0.2 in
60÷10 < -10×(-2)
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
-26 < -24
Ceil 1.3 in
619 > 610
Ceil 2.2 in
18+43 > -28+57
Ceil 2.3 in
169+616 < -50+994
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
Ceil 3.3 in
-640÷(-16) < 666÷2
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
56.88-4.25 < 1.7+50.94
Point 1.2 dp
79.92 > 79.9
Point 1.3 dp
63.298 > 40
Point 1.4 dp
613.151 > 449.867
Point 2.2 dp
26.53+26.28 > 1.85+50.07
Point 2.3 dp
83.011-3.011 > 85.057-20.761
Point 3.1 dp
87÷5.8 > 0.5×20.8
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
Doted 0.1 dn
47.3 > -86
Doted 0.2 dn
-60÷(-2) > 1.2×2
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
-98.21 < -69
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
Doted 3.2 dn
-16×(-4.95) > 97.6÷(-4.88)
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
Improper 1.3 fp
641/220 < 11698/121
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
455/17-268/17 < 1/2+23/2
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
Descent 1.1 fn
-2/7 < 2/7
Descent 1.2 fn
20/41 > -8/19
Descent 2.1 fn
1/1-1/5 > -1/2-1/4
Equations
Lineal 0.1 in
x+4=-6
Lineal 0.2 in
x×2+68=-10
Lineal 1.2 in
x-11=9
Lineal 1.3 in
x-9=58
Lineal 2.2 in
-x×10=-100
Lineal 2.3 in
-x×(-2)=-700
Lineal 3.1 in
-1+x÷5=1
Lineal 3.2 in
-100÷x-10=0
Lineal 4.1 in
-2×(x-7)=6
Lineal 4.2 in
36÷(-x-82)=6
Rounding
Rounding 0.1 dp
92.5-20.5≈72
Rounding 0.2 dp
62.56÷3.03≈20.6
Rounding 1.2 dp
83.78≈83.8
Rounding 1.3 dp
11.882≈11.88
Rounding 2.2 dp
89.29-14.12≈75.2
Rounding 2.3 dp
98.601-0.651≈97.95
Rounding 3.1 dp
6.3×2.9≈18
Rounding 3.2 dp
75×0.2≈15
Language Exercises
Russian Vocabulary 2.4
просв щённый
English Vocabulary 3.3
s bject
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
rethink rethought [rethink]
Infinitive 3.1
unspin [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
(281+450)-(997-290)=24
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
Conversant 1.4 in
-602+442=-160
Conversant 2.4 in
-413+822-641=-232
Conversant 2.5 in
964094+16553-417936=562711
Conversant 3.4 in
287-(582+82)=-377
Conversant 3.5 in
-177674-(234978+201437)=-614089
Conversant 4.4 in
-(524-516)-(597+61)=-666
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
Divisor 1.5 ip
9268914÷402=23057
Intellect 0.2 in
-105-2×220=-545
Intellect 1.2 in
655-4×403=-957
Intellect 2.2 in
-457+90÷30-347=-801
Intellect 3.2 in
407-48÷(-14-2)=410
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
-10×20=-200
Logics 2.2 in
-75÷(-15)×10=50
Logics 3.2 in
(-770÷2)÷5=-77
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
Partitive 0.4 dp
439.279-17-32.279=390
Partitive 1.4 dp
588.902-74.629=514.273
Partitive 2.4 dp
521.6-504.451+762.851=780
Partitive 3.4 dp
225.89-(73-37.89)=190.78
Split 0.3 dn
56.67-(-58.06+34.73)=80
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
504.613+266.737=771.35
Split 2.3 dn
59.44+16.07-80=-4.49
Split 2.4 dn
-275.078-87.635-530.181=-892.894
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
Residual 1.2 dp
11÷2=5.5
Divisional 1.3 dp
0.952÷0.448=2.125
Denary 0.2 dp
86.64÷30.4=2.85
Denary 0.3 dp
5.5×0.046=0.253
Denary 1.3 dp
8.625×1.664=14.352
Denary 2.3 dp
2.64÷1.32=2
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
43.2÷24÷0.5=3.6
Denary 4.3 dp
27.36÷43.776×52=32.5
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
0.009×(2.56×3.125)=0.072
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
Definition 1.2 dp
20.09+21.6÷4.8=24.59
Definition 1.3 dp
73.2-7.344÷2.295=70
Definition 2.2 dp
2.32×37.5-2.56×18.75=39
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
-10.5×2-21.74=-42.74
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
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
88÷25=3.52
Divisional_ENG 1.3 dp
0.6÷0.05=12
Fraction Examples
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
Numerator 1.3 fp
6998/159-5329/318=2889/106
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
-2551/498+134/3=19693/498
Denominator 2.2 fn
5/62+49/62+159/31=6/1
Denominator 3.2 fn
-98/25-(2/5-63/10)=99/50
Fragment 0.1 fp
8/3×(1/2×3/2)=2/1
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
Fragment 1.3 fp
7/10×25/4=35/8
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
Reduction 1.3 fp
90/132=15/22
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
Limited 1.2 fp
122/13-1/2÷13/62=7/1
Limited 2.1 fp
1/2×(39/4-7/4)=4/1
Complete 0.1 fn
2/3÷1/6-3/2=5/2
Complete 1.1 fn
-7/6+3/4×86/9=6/1
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
Ceil 0.4 in
-886848÷(-2) > -481000÷13
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
120018+819982 > -357084+925279
Ceil 3.4 in
-517764÷(-3) = 862940÷5
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
Point 0.4 dp
640.109-206.11 < 168.451+489.456
Point 2.4 dp
208.45+227.647 > 237.832-55.198
Point 3.3 dp
0.8×88 > 76.292÷19.073
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
Doted 1.3 dn
-46.331 < 52
Doted 1.4 dn
-931.524 < 220
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
Doted 2.4 dn
-426.077+261.642 < -41.617+503.363
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
Descent 0.1 fn
4/5+1/5 > -1/4-3/4
Descent 0.2 fn
-5/1 < -7/8
Descent 1.3 fn
-11384/127 < 623/9
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
напер вес
Russian Vocabulary 3.4
об яние
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
alc hol
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
underwritten [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
1690×60-9981=91419
Intellect 1.3 in
110÷55-5911=-5909
Intellect 2.3 in
6522+612÷18-1891=4665
Intellect 3.3 in
(800-1096)×(12+75)=-25752
Logics 0.3 in
(1296÷36)÷6=6
Logics 1.3 in
-2500÷10=-250
Logics 2.3 in
62×(-4)×(-40)=9920
Logics 3.3 in
2394÷(-3×(-2))=399
Logics 4.3 in
-81×(-3×(-28))÷14=-486
Decimal Examples
Residual 1.3 dp
24÷60=0.4
Denary 0.4 dp
(9.6×0.005)÷12=0.004
Denary 1.4 dp
0.5×1.44=0.72
Denary 2.4 dp
1.52÷0.76=2
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
28.56÷10÷6.8=0.42
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
310×0.104+48.75×12.672=650
Definition 1.4 dp
38×14.4-122.13=425.07
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
-0.78×54+58.046=15.926
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
-413.436-907.2×0.245=-635.7
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
(12.544-13.888)×(-14.361-32.514)=63
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
Residual_ENG 1.3 dp
24÷4=6
Fraction Examples
Denominator 0.3 fn
329/927+208/927=179/309
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
-6159/232-(-1/2-783/8)=2083/29
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
97/18×(576/13÷64/13)=97/2
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
Limited 1.3 fp
12/299+2/9÷13/18=8/23
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
Complete 0.2 fn
41/44-85/9÷748/63=3/22
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
41/10×(1/2+1/6)=41/15
Comparisons
Doted 0.4 dn
599.73÷30 > 578.772÷46
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
31/1+2347/77 < 31/1+7456/121
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
2x2+18x=0
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
4x2+24x=0
Quadratic 3.1 in
-2x2-8x-8=0
System 0.1 ip
8y-3x=50
System 1.2 ip
y-x=36
System 2.1 ip
6x÷5y=2
System 3.1 ip
x+4y=38
Set 0.1 in
-2x+6y=40
Set 1.1 in
y+x=-3
Set 2.1 in
-9y×x=900
Set 3.1 in
-8y-10x=180
Language Exercises
Russian Vocabulary 2.5
циф рблат
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
repr duce
Lexicon 1.5
desp rately [badly]
Lexicon 2.4
expen ive [dear]
Infinitive 1.3
shake shook [shake]
Infinitive 3.2
become [become]
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