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
170000+63167+23111=256278
Beginner 5.5 ip
517108+(102556+80200)=699864
Conversant 1.1 in
-1-2=-3
Conversant 1.5 in
147594-525292=-377698
Conversant 2.1 in
-2-4-1=-7
Cognizant 0.3 ip
30×86=2580
Cognizant 4.3 ip
5×15×32=2400
Cognizant 5.3 ip
(50÷10)×500=2500
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
916÷33=27(25)
Multiplier 1.4 ip
24540×109=2674860
Divisor 1.3 ip
1200÷10=120
Numeracy 0.2 ip
780÷4-95=100
Numeracy 0.3 ip
(39+11)×(7627-7617)=500
Numeracy 1.3 ip
3200+44×140=9360
Numeracy 2.3 ip
1728÷48+18×3539=63738
Numeracy 3.2 ip
276+(45-44)×37=313
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
Divisor_ENG 1.3 ip
3565÷31=115
Remainder_ENG 1.3 ip
480÷69=6(66)
Decimal Examples
Partitive 0.1 dp
8+1.1=9.1
Partitive 0.2 dp
72.6+9=81.6
Partitive 1.1 dp
5+3=8
Partitive 1.2 dp
2.2+14=16.2
Partitive 2.1 dp
9.6-6.8+5.2=8
Partitive 2.2 dp
58.5+95.5-75.6=78.4
Partitive 3.1 dp
9-(0.2+0.8)=8
Partitive 3.2 dp
21.1+(12.4+3.3)=36.8
Divisional 1.1 dp
3.7÷0.5=7.4
Denary 1.1 dp
5.6×3=16.8
Denary 2.1 dp
10.6÷0.5=21.2
Denary 3.1 dp
4×8.8=35.2
Divisional_ENG 1.1 dp
45÷3.6=12.5
Fraction Examples
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
Natural 0.4 ip
935313-425313 > 48000+232893
Natural 3.4 ip
6×13824 > 711610÷10
Ceil 0.1 in
6 > -1
Ceil 1.1 in
5 < 10
Ceil 2.1 in
-10+7 < 3+4
Ceil 3.1 in
-4×2 < -3×2
Point 1.1 dp
43.8 > 43.6
Point 2.1 dp
80.9-60.7 < 34.9+47.9
Improper 1.1 fp
9/10 > 1/5
Improper 1.2 fp
347/67 > 4/5
Improper 2.1 fp
2/3+1/3 > 1/5+2/5
Equations
Linear 0.2 ip
18+48÷x=20
Linear 0.3 ip
93×x=651
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
68÷(14+x)=2
Linear 4.3 ip
616÷(12+x)=28
Lineal 1.1 in
x-10=-4
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
15×27≈41
Round 0.2 ip
8118-2053≈61
Round 0.3 ip
147857≈148
Round 1.3 ip
629804≈630
Round 2.2 ip
343+5120≈55
Round 2.3 ip
220000+66769≈287
Round 3.1 ip
5×25≈13
Round 3.2 ip
358×25≈90
Round 3.3 ip
933100÷100≈9
Language Exercises
Russian Vocabulary 1.4
альб трос
Russian Vocabulary 3.3
п рила
English Vocabulary 1.3
perate
English Vocabulary 3.2
uni ue
Lexicon 1.3
fo rteenth [count]
Infinitive 2.1
smite [smite]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7-(-4-2)=-1
Conversant 0.2 in
-17+18-20=-19
Conversant 0.3 in
40-80=-40
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-25+99=74
Conversant 2.2 in
15+8-4=19
Conversant 2.3 in
-59-76+35=-100
Conversant 3.1 in
-10+(4-4)=-10
Conversant 3.2 in
-5-(1+14)=-20
Conversant 3.3 in
17-(90+20)=-93
Conversant 4.1 in
(8-0)-(3-4)=9
Conversant 4.2 in
-(16-18)+(13-13)=2
Conversant 4.3 in
-(68-40)+(40+60)=72
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
352×301=105952
Cognizant 2.4 ip
214200÷357=600
Cognizant 3.4 ip
930000÷125=7440
Cognizant 4.4 ip
659×80×10=527200
Cognizant 5.4 ip
(200÷4)×1000=50000
Cognizant 6.4 ip
42×2176÷(672÷42)=5712
Multiplier 1.5 ip
3830×1100=4213000
Divisor 1.4 ip
64909÷13=4993
Intellect 0.1 in
22×2-13=31
Intellect 1.1 in
-29-24÷12=-31
Intellect 2.1 in
-2-96÷6÷8=-4
Intellect 3.1 in
(25+5)÷(64-59)=6
Logics 0.1 in
80÷(-5)=-16
Logics 1.1 in
4×6=24
Logics 2.1 in
-12÷(-2)×5=30
Logics 3.1 in
(36÷6)×5=30
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
26.24-25.89=0.35
Partitive 2.3 dp
32+27.54-23.4=36.14
Partitive 3.3 dp
38.26-(94.55-82.63)=26.34
Split 0.1 dn
-2+7.7=5.7
Split 0.2 dn
-77.5+41=-36.5
Split 1.1 dn
-3.6-5.4=-9
Split 1.2 dn
-3-19.1=-22.1
Split 2.1 dn
5.2-0.1-2.1=3
Split 2.2 dn
-20.1-31.7-48.2=-100
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
Split 3.2 dn
-5-(8.1+52.6)=-65.7
Residual 1.1 dp
6÷10=0.6
Divisional 1.2 dp
21.12÷3=7.04
Denary 0.1 dp
0.9×6=5.4
Denary 1.2 dp
2.25×2.4=5.4
Denary 2.2 dp
10.64÷19=0.56
Denary 3.2 dp
25.6÷6.4=4
Denary 4.1 dp
21.6×2.5÷7.2=7.5
Denary 5.1 dp
1.6×(5×0.1)=0.8
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
2×0.4+41.5=42.3
Definition 2.1 dp
20.8+1.8÷9×4=21.6
Definition 3.1 dp
50.2+(91-89.5)÷3=50.7
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
Residual_ENG 1.1 dp
57÷10=5.7
Divisional_ENG 1.2 dp
45.6÷3=15.2
Fraction Examples
Numerator 0.1 fp
1/5+7/10-2/5=1/2
Numerator 0.2 fp
19/7-31/14+19/78=29/39
Numerator 1.2 fp
1/11+53/22=5/2
Numerator 2.1 fp
3/8+1/8+2/5=9/10
Numerator 2.2 fp
37/8-13/8+50/77=281/77
Numerator 3.1 fp
3/5-(2/5-1/5)=2/5
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
-7/8+1/4=-5/8
Denominator 2.1 fn
1/8-4/5-1/5=-7/8
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
3/5÷21/5=1/7
Fragment 1.2 fp
33/2÷99/26=13/3
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
Reduction 1.1 fp
171/45=19/5
Reduction 1.2 fp
480/16=30/1
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-22×(-3) = 11×6
Ceil 1.2 in
42 > -21
Ceil 1.3 in
759 > 754
Ceil 2.2 in
-37-2 < 39-37
Ceil 2.3 in
-87-519 < -442-116
Ceil 3.2 in
-88÷(-2) > 2×20
Ceil 3.3 in
-7×30 < -860÷(-4)
Point 0.1 dp
16.2 < 16.3
Point 0.2 dp
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
51.46 < 51.47
Point 1.3 dp
78.106 > 10.016
Point 1.4 dp
570 < 697.732
Point 2.2 dp
58-57.25 < 82.09-65.09
Point 2.3 dp
5.3+28.228 > 15.373+8.373
Point 3.1 dp
6.6×0.5 < 58.5÷5
Point 3.2 dp
1.6×11.25 < 81÷4.05
Doted 0.1 dn
53.6 > 44.8
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
63.7-7.3 > -33.7+89.9
Doted 2.2 dn
14.2+4.2 > -82.7+47.7
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
-16×(-4.95) > 97.6÷(-4.88)
Improper 0.1 fp
5/9 < 3/5
Improper 0.2 fp
43/11-21/11 < 5/4+7/4
Improper 1.3 fp
36889/440 > 563/7
Improper 2.2 fp
405/44-157/28 < 1/2+179/28
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
Descent 1.1 fn
1/6 > 1/10
Descent 1.2 fn
12/13 > 1/2
Descent 2.1 fn
2/3-4/9 < -1/9+1/1
Equations
Lineal 0.1 in
-x×2=-8
Lineal 0.2 in
3-80÷x=7
Lineal 1.2 in
-97+x=-37
Lineal 1.3 in
-23+x=0
Lineal 2.2 in
-x×(-2)=-56
Lineal 2.3 in
28×(-x)=-868
Lineal 3.1 in
x÷3+1=0
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
-3×(7+x)=9
Lineal 4.2 in
-18×(-44+x)=-36
Rounding
Rounding 0.1 dp
3.3≈3
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
82.78≈82.8
Rounding 1.3 dp
82.203≈82.2
Rounding 2.2 dp
54.99-15.71≈39.3
Rounding 2.3 dp
98.601-0.651≈97.95
Rounding 3.1 dp
83÷9.1≈9
Rounding 3.2 dp
49÷67.97≈0.7
Language Exercises
Russian Vocabulary 2.4
к медия
Lexicon 2.3
stud o [workshop]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
overrun [overrun]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-505-285=-790
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
Conversant 1.4 in
-278-118=-396
Conversant 2.4 in
-478+53+796=371
Conversant 2.5 in
548078-39883+61370=569565
Conversant 3.4 in
-21+(-153-306)=-480
Conversant 3.5 in
1000000-(-810000+930000)=880000
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
(759248-820698)-(50470-362477)=250557
Divisor 1.5 ip
1562499÷139=11241
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
11+22÷2=22
Intellect 2.2 in
700+10×4×2=780
Intellect 3.2 in
(950-850)÷(-2-3)=-20
Logics 0.2 in
-11×(-306÷(-3))÷(-22)=51
Logics 1.2 in
3×(-17)=-51
Logics 2.2 in
-2×5×5=-50
Logics 3.2 in
(-1000÷(-2))÷2=250
Logics 4.2 in
5×(-2)×(5×7)=-350
Divisor_ENG 1.5 ip
4564864÷128=35663
Decimal Examples
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
Partitive 1.4 dp
279.471+130.2=409.671
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
232-483.296-164.817=-416.113
Split 1.3 dn
-49.78-26.82=-76.6
Split 1.4 dn
-253.728-247.706=-501.434
Split 2.3 dn
23.93+45.83-59.2=10.56
Split 2.4 dn
-93.725-75+140.922=-27.803
Split 3.3 dn
-24+(34.16-6.61)=3.55
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
16÷40=0.4
Divisional 1.3 dp
28.05÷5.1=5.5
Denary 0.2 dp
2.7÷15=0.18
Denary 0.3 dp
0.5×0.12÷30=0.002
Denary 1.3 dp
1.375×17.92=24.64
Denary 2.3 dp
2.64÷1.32=2
Denary 3.3 dp
18×0.8=14.4
Denary 4.2 dp
5.5×1.8×0.8=7.92
Denary 4.3 dp
56.672÷20.125÷0.64=4.4
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
Denary 5.3 dp
1.2÷(100÷2)=0.024
Definition 0.2 dp
14×3.61+10.8÷90=50.66
Definition 1.2 dp
29.2-2.72÷13.6=29
Definition 1.3 dp
9.63-1.875×0.336=9
Definition 2.2 dp
85.2+8.4÷30÷28=85.21
Definition 2.3 dp
29.175-91×1.02÷4=5.97
Definition 3.2 dp
30.47+(49.01-42.51)×0.06=30.86
Negatory 0.1 dn
16.4+(-2.8-3.2)÷2.4=13.9
Negatory 0.2 dn
25.6÷64-69.71=-69.31
Negatory 1.2 dn
1.8×12-5.6=16
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
-73.46+3.36÷0.96×30=31.54
Negatory 2.3 dn
70+66÷3.52÷93.75=70.2
Negatory 3.1 dn
(1.7+85)÷(-0.5-25)=-3.4
Negatory 3.2 dn
26.73-63.36÷(38.2-37.56)=-72.27
Residual_ENG 1.2 dp
100÷25=4
Divisional_ENG 1.3 dp
0.04÷0.16=0.25
Fraction Examples
Numerator 0.3 fp
4744/99-(1/5+356/495)=47/1
Numerator 1.3 fp
230/3-28960/537=4070/179
Numerator 2.3 fp
3/4+177/4-5323/176=2597/176
Numerator 3.3 fp
113/2-(121/2-8280/197)=7492/197
Denominator 0.2 fn
8/23+77/92-39/46=31/92
Denominator 1.2 fn
23/9+31/9=6/1
Denominator 1.3 fn
305/51-271/51=2/3
Denominator 2.2 fn
-19/49-142/49+2/7=-3/1
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
36/5÷81/35×9/2=14/1
Fragment 1.3 fp
1/5×408/5=408/25
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
Fragment 2.3 fp
3/5÷3/17×470/17=94/1
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
Reduction 1.3 fp
114/1178=3/31
Limited 0.1 fp
23/3×(49/5-46/5)=23/5
Limited 1.2 fp
1899/71+1/3×189/71=1962/71
Limited 2.1 fp
21/4÷(37/8-25/8)=7/2
Complete 0.1 fn
5/2÷15/8+8/9=20/9
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
(53/10+3/2)÷17/10=4/1
Comparisons
Ceil 0.4 in
-910000 < 380600
Ceil 1.4 in
-775923 > -933776
Ceil 2.4 in
23000+129472 < 60931+800177
Ceil 3.4 in
-668800÷2 > -788012÷2
Point 0.3 dp
94.2÷4.71 > 98.01÷29.7
Point 0.4 dp
622.529-16.776 < 617.468-11.698
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
82.488÷6.874 > 7.2×1.365
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
-30+57 > -45.425-10.68
Doted 1.3 dn
-77.522 < -77.515
Doted 1.4 dn
-890.483 < 890.478
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
Improper 0.3 fp
167/3÷54943/579 < 18/5×2/9
Improper 3.3 fp
1825/19÷5475/364 < 3/4÷7/892
Descent 0.1 fn
1/4+3/4 > 1/1-4/5
Descent 0.2 fn
40/9÷(-60/67) < 5/2×(-12/35)
Descent 1.3 fn
-23541/257 < -13629/257
Descent 2.2 fn
-7/2-3/1 < -19/8+75/8
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
-1/2×(-6/1) > 5/1×8/15
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
апост л
Russian Vocabulary 3.4
сув нир
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
cr me
Lexicon 1.4
campai n [crusade]
Infinitive 2.2
swelled [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
586×43-392÷196=25196
Intellect 1.3 in
-5956+26×2185=50854
Intellect 2.3 in
35584÷16+352÷2=2400
Intellect 3.3 in
(3527-3027)×(400-395)=2500
Logics 0.3 in
-3432÷(33÷3)=-312
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
62×(-4)×(-40)=9920
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
147×35÷(-7×(-7))=105
Decimal Examples
Residual 1.3 dp
7÷56=0.125
Denary 0.4 dp
47.52×0.2=9.504
Denary 1.4 dp
0.85×20=17
Denary 2.4 dp
5.28÷0.528=10
Denary 3.4 dp
44.46÷247=0.18
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
Definition 0.4 dp
205.384×(0.5+1)÷385.095=0.8
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
11.776÷256+212.8×0.035=7.494
Definition 3.3 dp
32.05-0.045÷(0.5+0.4)=32
Definition 3.4 dp
(837.579-833.079)÷(149.93-74.93)=0.06
Negatory 0.3 dn
79.11+0.625×6.528×4.875=99
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
Negatory 1.4 dn
100÷12.5-435.267=-427.267
Negatory 2.4 dn
-758.262-36×0.39-27.698=-800
Negatory 3.3 dn
(-0.5-0.3)×(-23.533-1.967)=20.4
Negatory 3.4 dn
7×(5.681+19.919)×0.625=112
Residual_ENG 1.3 dp
28÷14=2
Fraction Examples
Denominator 0.3 fn
-1/10-37/50-35998/675=-7313/135
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
Denominator 3.3 fn
-398/11-(-31967/561+23603/561)=-234/11
Fragment 0.3 fp
162/5×(404/19÷1616/19)=81/10
Fragment 3.3 fp
17/24×(19/34×24/19)=1/2
Limited 0.2 fp
3/4×16/57+11/19=15/19
Limited 1.3 fp
1/2÷9/118+247/9=34/1
Limited 2.2 fp
(1231/34-1069/34)÷27/4=12/17
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
Complete 1.3 fn
1/2÷5/704+9381/635=10817/127
Complete 2.2 fn
(1/5+1/5)÷7/15=6/7
Comparisons
Doted 0.4 dn
-13.728×17.25 < 11.62×12
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
-65/12-197/48 < -23785/672+10215/224
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
Quadratic 0.1 in
4x2=64
Quadratic 1.1 in
10x2=160
Quadratic 2.1 in
-2x2+8x=0
Quadratic 3.1 in
x2+9x+14=0
System 0.1 ip
8y-3x=50
System 1.2 ip
x-y=0
System 2.1 ip
10x×2y=100
System 3.1 ip
7y-4x=23
Set 0.1 in
y+3x=-24
Set 1.1 in
-x-y=0
Set 2.1 in
414y÷2x=-92
Set 3.1 in
2y-2x=0
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
respons bility
English Vocabulary 2.5
signifi antly
English Vocabulary 3.4
appre iate
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
imm diately [instantly]
Infinitive 1.3
shake shook [shake]
Infinitive 3.2
beseech [beseech]
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