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
179507-100936+21429=100000
Beginner 4.5 ip
957089-7288-549801=400000
Beginner 5.5 ip
904921-(273824-157234)=788331
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
-427576+192054=-235522
Conversant 2.1 in
-10+7-7=-10
Cognizant 0.3 ip
1242÷27×48=2208
Cognizant 4.3 ip
5152÷56×94=8648
Cognizant 5.3 ip
(64÷8)×6=48
Cognizant 6.3 ip
10×(69÷3)×10=2300
Remainder 1.3 ip
910÷100=9(10)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
7826÷13=602
Numeracy 0.2 ip
510÷15+223=257
Numeracy 0.3 ip
(39+11)×(7627-7617)=500
Numeracy 1.3 ip
7200÷16-250=200
Numeracy 2.3 ip
6800+240×50÷75=6960
Numeracy 3.2 ip
(46+299)÷(21+2)=15
Numeracy 3.3 ip
52+(50+54)×12=1300
Decimal Examples
Partitive 0.1 dp
3+(9-8.5)=3.5
Partitive 0.2 dp
9.2+(87.1-39.2)=57.1
Partitive 1.1 dp
1.2+1.8=3
Partitive 1.2 dp
85.7-32.7=53
Partitive 2.1 dp
7.6-1.8-0.2=5.6
Partitive 2.2 dp
38-33.9+54=58.1
Partitive 3.1 dp
1.2+(0.9+5)=7.1
Partitive 3.2 dp
27.3-(47.1-46)=26.2
Divisional 1.1 dp
1.1÷0.2=5.5
Denary 1.1 dp
5.6×3=16.8
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
20.4÷3.4=6
Fraction Examples
Numerator 1.1 fp
2/3-2/3=0/1
Comparisons
Natural 0.4 ip
1200×2 > 8×4
Natural 3.4 ip
2×8 < 8800×32
Ceil 0.1 in
3+3 > -7+3
Ceil 1.1 in
7 < 10
Ceil 2.1 in
4+5 < 6+4
Ceil 3.1 in
6÷2 < -2×(-4)
Point 1.1 dp
32 < 78.2
Point 2.1 dp
81.4-79.4 < 3.9+83.3
Improper 1.1 fp
1/8 < 7/8
Improper 1.2 fp
4/1 > 3/1
Improper 2.1 fp
9/10-1/10 > 4/5-2/5
Equations
Linear 0.2 ip
(17+x)×2=40
Linear 0.3 ip
741÷x=39
Linear 3.3 ip
670÷x-1=66
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
(x+3)×128=384
Lineal 1.1 in
1-x=1
Lineal 2.1 in
-x×(-9)=-9
Rounding
Rounding 1.1 dp
45.1≈45
Rounding 2.1 dp
54.7+21.7≈76
Round 0.1 ip
754+14≈77
Round 0.2 ip
6598÷2≈33
Round 0.3 ip
535855≈536
Round 1.3 ip
173856≈174
Round 2.2 ip
7376-3006≈44
Round 2.3 ip
174454+351394≈526
Round 3.1 ip
5×43≈22
Round 3.2 ip
8394÷3≈28
Round 3.3 ip
378160÷580≈1
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 1.3
th rteen
Lexicon 1.3
chick n [hen]
Infinitive 2.1
broadcast [broadcast]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-(1-10)+(4-10)=3
Conversant 0.2 in
12+(8-4)=16
Conversant 0.3 in
-73-(90-81)=-82
Conversant 1.2 in
1-1=0
Conversant 1.3 in
-46+56=10
Conversant 2.2 in
-20+9+1=-10
Conversant 2.3 in
16-87+11=-60
Conversant 3.1 in
-10+(10+10)=10
Conversant 3.2 in
-10-(-3-6)=-1
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
-(0+5)-(7-4)=-8
Conversant 4.2 in
(20+6)+(12-19)=19
Conversant 4.3 in
(93-0)+(11-60)=44
Cognizant 0.4 ip
7560÷42=180
Cognizant 1.4 ip
350×140=49000
Cognizant 2.4 ip
53760÷1792=30
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
(150000÷20)÷25=300
Cognizant 6.4 ip
4900÷49÷(50÷25)=50
Multiplier 1.5 ip
4130×4059=16763670
Divisor 1.4 ip
96000÷40=2400
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
73-6×22=-59
Intellect 2.1 in
30-100÷5÷10=28
Intellect 3.1 in
-16-(8+2)÷2=-21
Logics 0.1 in
-18÷(3×(-3))=2
Logics 1.1 in
-2×4=-8
Logics 2.1 in
4×2×8=64
Logics 3.1 in
-5×(-5×(-2))=-50
Logics 4.1 in
-5×(6÷3)×9=-90
Decimal Examples
Partitive 0.3 dp
94.08-(75.71-69.07)=87.44
Partitive 1.3 dp
40.12-20.94=19.18
Partitive 2.3 dp
83.79+7.74+5.48=97.01
Partitive 3.3 dp
83+(36.35-19.39)=99.96
Split 0.1 dn
0.8+(-6.7+0.3)=-5.6
Split 0.2 dn
-2.3-53.5-43.9=-99.7
Split 1.1 dn
-2.9+3.1=0.2
Split 1.2 dn
6-69=-63
Split 2.1 dn
-1-1-4.8=-6.8
Split 2.2 dn
-5.4-40-20.6=-66
Split 3.1 dn
-3.7-(6.9-8.6)=-2
Split 3.2 dn
-40.3-(8.8+4)=-53.1
Residual 1.1 dp
33÷5=6.6
Divisional 1.2 dp
3.92÷0.05=78.4
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
Denary 1.2 dp
1.92×32.5=62.4
Denary 2.2 dp
1.4÷4=0.35
Denary 3.2 dp
0.5×0.52=0.26
Denary 4.1 dp
9.8×0.5÷0.1=49
Denary 5.1 dp
5.6÷(44.8÷4)=0.5
Definition 0.1 dp
6×(66.9-51.8)÷6=15.1
Definition 1.1 dp
16.4-35.2÷8=12
Definition 2.1 dp
54+0.5×2.6+2.9=58.2
Definition 3.1 dp
(71.1-69.6)×(58.4-24.8)=50.4
Negatory 1.1 dn
15÷1.5+50=60
Negatory 2.1 dn
58+8÷2.5÷2=59.6
Fraction Examples
Numerator 0.1 fp
3/8+1/8=1/2
Numerator 0.2 fp
5/6+25/6-33/8=7/8
Numerator 1.2 fp
2/3+307/75=119/25
Numerator 2.1 fp
1/3-2/9+2/3=7/9
Numerator 2.2 fp
23/3+2/3-112/15=13/15
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
Numerator 3.2 fp
7/24+(11/24+1/4)=1/1
Denominator 0.1 fn
-1/8+(-1/8-1/8)=-3/8
Denominator 1.1 fn
3/8+1/2=7/8
Denominator 2.1 fn
-1/5+4/5-1/10=1/2
Denominator 3.1 fn
1/3+(-1/2+2/3)=1/2
Fragment 1.1 fp
3/2×10/7=15/7
Fragment 1.2 fp
3/2×569/30=569/20
Fragment 2.1 fp
46/5÷23/5×34/9=68/9
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
12/5÷1/4-3/5=9/1
Comparisons
Ceil 0.2 in
-83-11 < -10+81
Ceil 0.3 in
-37 > -920
Ceil 1.2 in
30 < 100
Ceil 1.3 in
-985 < -854
Ceil 2.2 in
7-40 < -63+70
Ceil 2.3 in
-872+812 > -336-83
Ceil 3.2 in
-95÷(-5) > -100÷2
Ceil 3.3 in
-9×(-54) < -24×(-21)
Point 0.1 dp
88.2-7.2 > 23+19.2
Point 0.2 dp
7.25 = 7.25
Point 1.2 dp
81.89 > 51.14
Point 1.3 dp
41.862 > 12.645
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
57.48+37.52 > 30.98+13.93
Point 2.3 dp
0.51+0.184 < 59.778+26.413
Point 3.1 dp
83.1÷27.7 < 1.6×28.5
Point 3.2 dp
11×0.6 < 25.6×3.5
Doted 0.1 dn
-30.5 > -54.6
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
97 < 97.3
Doted 1.2 dn
13 > -0.47
Doted 2.1 dn
-49-1 < -31.6+75.9
Doted 2.2 dn
93.12-5.13 > -0.52-20.72
Doted 3.1 dn
86.1÷(-7) < 2×(-2.6)
Doted 3.2 dn
2.5×3 < -15×(-2.3)
Improper 0.1 fp
5/9×3/10 < 3/4÷9/10
Improper 0.2 fp
27/28 > 10/13
Improper 1.3 fp
190/261 < 256/297
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
Improper 2.3 fp
1505/18-2021/414 < 1678/17-1143/391
Improper 3.1 fp
1/3÷3/7 > 1/3÷5/9
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
7/8 > -2/5
Descent 1.2 fn
16/53 < 1/1
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
Lineal 0.1 in
(x-4)×3=0
Lineal 0.2 in
27+x=-35
Lineal 1.2 in
35+x=75
Lineal 1.3 in
-x+943=0
Lineal 2.2 in
10×(-x)=70
Lineal 2.3 in
600÷x=-40
Lineal 3.1 in
10÷x+8=9
Lineal 3.2 in
33÷x-3=0
Lineal 4.1 in
-(-5-x)×2=-10
Lineal 4.2 in
-5×(-61-x)=0
Rounding
Rounding 0.1 dp
67.3≈67
Rounding 0.2 dp
61.68×1.4≈86.4
Rounding 1.2 dp
90.51≈90.5
Rounding 1.3 dp
22.004≈22
Rounding 2.2 dp
34.25-23.94≈10.3
Rounding 2.3 dp
15.449+57.622≈73.07
Rounding 3.1 dp
93.3÷28≈3
Rounding 3.2 dp
100÷2≈50
Language Exercises
Russian Vocabulary 2.4
э спрессия
English Vocabulary 3.3
incl de
Lexicon 2.3
mem ry [remembrance]
Infinitive 1.2
unwind unwound [unwind]
Infinitive 3.1
overspend [overspend]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
171-275=-104
Conversant 0.5 in
-270000-29000-1000=-300000
Conversant 1.4 in
141-391=-250
Conversant 2.4 in
130+940-775=295
Conversant 2.5 in
733000+140786-493786=380000
Conversant 3.4 in
-21+(-153-306)=-480
Conversant 3.5 in
135317-(-250000+825317)=-440000
Conversant 4.4 in
(107+320)+(226-113)=540
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
90000÷180=500
Intellect 0.2 in
-593-384÷(2+2)=-689
Intellect 1.2 in
-720÷360+520=518
Intellect 2.2 in
-319+377×3-572=240
Intellect 3.2 in
-8+(196+98)÷2=139
Logics 0.2 in
91÷(-7)=-13
Logics 1.2 in
24÷(-3)=-8
Logics 2.2 in
40×(-10)÷(-5)=80
Logics 3.2 in
-700÷(2×25)=-14
Logics 4.2 in
315÷(9÷(-3))÷7=-15
Decimal Examples
Partitive 0.4 dp
246.738+60-150.738=156
Partitive 1.4 dp
420.005-20.005=400
Partitive 2.4 dp
296.5+158.694-155.194=300
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
Split 0.3 dn
52.35-62.24=-9.89
Split 0.4 dn
-68.569-484.139-4.175=-556.883
Split 1.3 dn
95-11.43=83.57
Split 1.4 dn
581.172-141.613=439.559
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
15.832-205.642+55.221=-134.589
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
Split 3.4 dn
152.265-(-266.133-56.921)=475.319
Residual 1.2 dp
74÷8=9.25
Divisional 1.3 dp
0.072÷0.1=0.72
Denary 0.2 dp
4.6÷5×25=23
Denary 0.3 dp
(35.858÷17.929)×0.002=0.004
Denary 1.3 dp
2.5×5.904=14.76
Denary 2.3 dp
86.4÷60=1.44
Denary 3.3 dp
12.5×3.52=44
Denary 4.2 dp
2÷0.08×0.32=8
Denary 4.3 dp
56.672÷20.125÷0.64=4.4
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
Definition 0.2 dp
(2.3+1.2)×(7.35+14.25)=75.6
Definition 1.2 dp
61.76+3.2×3.2=72
Definition 1.3 dp
1.445÷10.625+61.473=61.609
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
Definition 3.2 dp
92.65÷(1.02+1.16)÷31.25=1.36
Negatory 0.1 dn
25.8÷1.2-18=3.5
Negatory 0.2 dn
21.57+78÷5.2=36.57
Negatory 1.2 dn
27.97+24.64÷8=31.05
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
42.964-50.4÷24-57.888=-17.024
Negatory 3.1 dn
3.3÷(0.5-0.6)÷0.4=-82.5
Negatory 3.2 dn
8×(42.09-32.09)×0.01=0.8
Fraction Examples
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
Numerator 1.3 fp
851/13-214/13=49/1
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
Numerator 3.3 fp
206/9+(397/9-8212/809)=45991/809
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
Denominator 1.2 fn
-5/42-19/42=-4/7
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
Denominator 3.2 fn
1/15-(-8/5+89/39)=-8/13
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
2/5×15/16=3/8
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
3/4÷9/4÷5/3=1/5
Fragment 2.3 fp
5/2×49/5×57/49=57/2
Fragment 3.1 fp
10/3×(3/2÷5/2)=2/1
Fragment 3.2 fp
141/8÷(27/2×1/36)=47/1
Reduction 1.3 fp
330/60=11/2
Limited 0.1 fp
5/9÷20/3+1/6=1/4
Limited 1.2 fp
63/2-207/10×100/69=3/2
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
Complete 0.1 fn
15/4÷(27/4+3/4)=1/2
Complete 1.1 fn
9/2-1/3×9/2=3/1
Complete 1.2 fn
-138/5+54/5÷9/61=228/5
Complete 2.1 fn
-(7/3+20/3)÷9/2=-2/1
Comparisons
Ceil 0.4 in
-244716 > -949111
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
2457+377575 > -249715-201760
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
388.994 < 795.415
Point 2.4 dp
405.597-304.966 < 41.823+222.594
Point 3.3 dp
19.788÷4 < 20.74÷4.148
Point 3.4 dp
73.569÷0.822 > 151.438÷2.8
Doted 0.3 dn
90.929 > -81.469
Doted 1.3 dn
-34 < 44.387
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
58.172-31.9 < 85.006-13.298
Doted 2.4 dn
-48.534-207.959 < -140.37-116.115
Doted 3.3 dn
1.75×(-2.116) < 96.018÷26
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
Improper 3.3 fp
1/4÷57/104 < 6/13×806/57
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
Descent 0.2 fn
-1/62-411/62 < 9/2-37/8
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
Descent 3.1 fn
-4/5×5/6 < 1/10÷(-2/5)
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
Rounding
Language Exercises
Russian Vocabulary 1.5
дъюнкт
Russian Vocabulary 3.4
на зусть
English Vocabulary 1.4
ann ally
English Vocabulary 2.4
cr me
Lexicon 1.4
b havior [conduct]
Infinitive 2.2
rebid [rebid]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-5067-264÷88=-5070
Intellect 1.3 in
3121-168÷8=3100
Intellect 2.3 in
-252÷18-1080÷90=-26
Intellect 3.3 in
(7954-7926)÷(6657-6650)=4
Logics 0.3 in
-15×(-60)÷50=18
Logics 1.3 in
-264÷(-66)=4
Logics 2.3 in
-54×(-4)×17=3672
Logics 3.3 in
(-20×(-25))÷2=250
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
Residual 1.3 dp
9÷24=0.375
Denary 0.4 dp
1.28×46.875=60
Denary 1.4 dp
40×0.001=0.04
Denary 2.4 dp
5.544÷0.504=11
Denary 3.4 dp
1.5×480=720
Denary 4.4 dp
23.75×2.56×0.5=30.4
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
37.078-12×0.58×3.125=15.328
Definition 0.4 dp
322.56×1.9-457.938=154.926
Definition 1.4 dp
36.8×27-29.733=963.867
Definition 2.4 dp
631.884+2.4×6.84-223.77=424.53
Definition 3.3 dp
34.47-(12+7.2)×0.4=26.79
Definition 3.4 dp
586.15-0.532÷(622.14-622.015)=581.894
Negatory 0.3 dn
-29.657-61.88÷(5.343+3.157)=-36.937
Negatory 0.4 dn
-12.5÷(767.52-768.02)÷0.08=312.5
Negatory 1.4 dn
-2.16×100-577.811=-793.811
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
Negatory 3.4 dn
253.724+(-560.692-271.308)÷32.5=228.124
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
3/2×1183/76×323/91=663/8
Fragment 3.3 fp
532/15÷(63/2÷189/4)=266/5
Limited 0.2 fp
218/9÷(1/2+1/6)=109/3
Limited 1.3 fp
28/33×5797/72-5285/297=10003/198
Limited 2.2 fp
1712/51×(55/76+1/38)=428/17
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
Complete 1.3 fn
-2/3÷13/6-35/13=-3/1
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
Doted 0.4 dn
-315.402 < 998.655
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
Descent 0.3 fn
79/1×(-72/79) < 2/1÷1/36
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
Descent 3.3 fn
55/3×1959/577 > 30/1×103/120
Language Exercises
Russian Vocabulary 2.5
в ттметр
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
pro essional
English Vocabulary 3.4
s venteen
Lexicon 1.5
commun cation [giving]
Lexicon 2.4
ab ent [gone]
Infinitive 1.3
mean meant [mean]
Infinitive 3.2
feel [feel]
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