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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
179507-100936+21429=100000
 
Beginner 4.5 ip
957089-7288-549801=400000
 
Beginner 5.5 ip
904921-(273824-157234)=788331
 
 
Conversant 1.5 in
-427576+192054=-235522
 
 
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 1.2 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 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 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 2.1 in
-x×(-9)=-9
Rounding
 
 
 
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 3.3
пр дирчиво
 
 
 
 
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 0.3 in
-73-(90-81)=-82
 
 
 
 
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 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
 
 
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 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
 
 
 
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 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 0.2 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
 
 
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
 
 
Lineal 0.3 in
979+x÷5=951
 
Lineal 3.3 in
-38×x-112=-872
 
Lineal 4.3 in
-160×(-675+x)=-800
Rounding
 
 
Rounding 0.3 dp
10.004≈10
 
Rounding 3.3 dp
27.479×2.6≈71.45
Language Exercises
 
 
 
Russian Vocabulary 3.4
на зусть
 
 
 
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
 
 
 
 
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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