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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
40000+955560=995560
 
Beginner 4.5 ip
160216+61763-190025=31954
 
Beginner 5.5 ip
164557+(680688-405731)=439514
 
 
Conversant 1.5 in
-402102-388930=-791032
 
 
Cognizant 0.3 ip
4320÷3÷(180÷6)=48
 
Cognizant 4.3 ip
23×39×3=2691
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
6336÷4÷(66÷6)=144
 
Remainder 1.3 ip
654÷100=6(54)
 
Multiplier 1.4 ip
48333×171=8264943
 
Divisor 1.3 ip
1479÷29=51
 
Numeracy 0.2 ip
277×5-716=669
 
Numeracy 0.3 ip
5694÷26-46=173
 
Numeracy 1.3 ip
132÷11+8000=8012
 
Numeracy 2.3 ip
5240-10×16×24=1400
 
Numeracy 3.2 ip
(57+103)÷(770-754)=10
 
Numeracy 3.3 ip
676-69÷(3212-3143)=675
 
Divisor_ENG 1.3 ip
8449÷71=119
 
Decimal Examples
 
 
Partitive 0.1 dp
2.5+8-3=7.5
 
Partitive 0.2 dp
44.5-2=42.5
 
Partitive 1.1 dp
5.4+4.4=9.8
 
Partitive 1.2 dp
23.4+21.6=45
 
Partitive 2.1 dp
1.5+2.1+0.6=4.2
 
Partitive 2.2 dp
91.9-40-49.9=2
 
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
 
Partitive 3.2 dp
57-(33.5+3.5)=20
 
Divisional 1.1 dp
0.3÷0.2=1.5
 
Denary 1.1 dp
6×1.1=6.6
 
Denary 2.1 dp
28.5÷1.5=19
 
Denary 3.1 dp
18.4÷2=9.2
 
Fraction Examples
 
 
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
 
 
Natural 0.4 ip
916868 < 966303
 
Natural 3.4 ip
308370÷190 < 110124×8
 
Ceil 0.1 in
6+1 > -4-3
 
 
Ceil 2.1 in
-1-7 < -0+10
 
Ceil 3.1 in
-6÷3 < 4×2
 
Point 1.1 dp
91 > 12.2
 
Point 2.1 dp
99.2-59.5 > 48.2-25.8
 
 
Improper 1.2 fp
81/23 > 38/69
 
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
 
 
 
Linear 0.3 ip
45×(14+x)=720
 
Linear 3.3 ip
960-x×46=40
 
Linear 4.2 ip
(15+x)×2=30
 
Linear 4.3 ip
(x+3)×128=384
 
 
Lineal 2.1 in
x÷(-7)=-1
Rounding
 
 
 
Rounding 2.1 dp
9.3+71.7≈81
 
Round 0.1 ip
671÷11≈6
 
Round 0.2 ip
9002≈90
 
Round 0.3 ip
727×1288≈936
 
Round 1.3 ip
809804≈810
 
Round 2.2 ip
9000-7575≈14
 
Round 2.3 ip
999997-486≈1000
 
Round 3.1 ip
410÷5≈8
 
Round 3.2 ip
87×13≈11
 
Round 3.3 ip
71678×13≈932
Language Exercises
 
 
Russian Vocabulary 1.4
фильм тека
 
Russian Vocabulary 3.3
гум низм
 
 
 
 
Lexicon 1.3
s ream [course]
 
Infinitive 2.1
      took       [take]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
Conversant 0.3 in
10-98+21=-67
 
 
 
 
Conversant 2.3 in
-18+29-37=-26
 
Conversant 3.1 in
10-(-5+5)=10
 
Conversant 3.2 in
4+(-5-10)=-11
 
Conversant 3.3 in
-66-(0-18)=-48
 
Conversant 4.1 in
(10+5)+(1-9)=7
 
Conversant 4.2 in
(14+12)+(14-20)=20
 
Conversant 4.3 in
-(40+20)-(52-12)=-100
 
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
 
Cognizant 1.4 ip
350×140=49000
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
756588÷14=54042
 
Cognizant 4.4 ip
500×7÷5=700
 
Cognizant 5.4 ip
340032÷(28×3)=4048
 
Cognizant 6.4 ip
66÷2×(740×22)=537240
 
Multiplier 1.5 ip
4130×4059=16763670
 
Divisor 1.4 ip
96000÷40=2400
 
Intellect 0.1 in
72+36×2÷4=90
 
Intellect 1.1 in
23+3×19=80
 
Intellect 2.1 in
-9-7×3-43=-73
 
Intellect 3.1 in
65-(-3-2)×3=80
 
Logics 0.1 in
-4×3×(14÷2)=-84
 
Logics 1.1 in
-38÷2=-19
 
Logics 2.1 in
3×(-2)×4=-24
 
Logics 3.1 in
(36÷(-2))÷2=-9
 
Logics 4.1 in
64÷(-2×4)÷4=-2
 
Divisor_ENG 1.4 ip
45000÷24=1875
Decimal Examples
 
 
Partitive 0.3 dp
38.6+(13.6+13.8)=66
 
Partitive 1.3 dp
96.8-20=76.8
 
Partitive 2.3 dp
0.88+53.43+11.69=66
 
Partitive 3.3 dp
81.88-(16+24)=41.88
 
Split 0.1 dn
-4.3+10-7.2=-1.5
 
Split 0.2 dn
-65.5-19.4=-84.9
 
Split 1.1 dn
2-9.2=-7.2
 
Split 1.2 dn
51+45=96
 
Split 2.1 dn
-3.1-7+4=-6.1
 
Split 2.2 dn
-95.2+87.5-35.5=-43.2
 
Split 3.1 dn
2.9-(-1.8+3)=1.7
 
Split 3.2 dn
-49.1-(65-37.1)=-77
 
Residual 1.1 dp
34÷10=3.4
 
Divisional 1.2 dp
0.18÷2=0.09
 
Denary 0.1 dp
19.8÷3÷3.3=2
 
Denary 1.2 dp
26×0.37=9.62
 
Denary 2.2 dp
3.84÷4.8=0.8
 
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
8.8÷(72÷9)=1.1
 
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
 
Definition 1.1 dp
3.8×11-25.4=16.4
 
Definition 2.1 dp
15.4-14.4÷3+81.9=92.5
 
Definition 3.1 dp
19.8÷(3.4+5.6)÷22=0.1
 
Negatory 1.1 dn
6×1.8+1.4=12.2
 
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
 
 
Divisional_ENG 1.2 dp
19.2÷38.4=0.5
Fraction Examples
 
 
Numerator 0.1 fp
9/10-(1/10+1/10)=7/10
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
7/6+23/78=19/13
 
Numerator 2.1 fp
1/3+2/3-3/5=2/5
 
Numerator 2.2 fp
39/5-29/5-82/75=68/75
 
Numerator 3.1 fp
1/2+(1/2-1/3)=2/3
 
Numerator 3.2 fp
1/2+(65/46+2/23)=2/1
 
Denominator 0.1 fn
-4/5-1/5=-1/1
 
Denominator 1.1 fn
4/9-2/3=-2/9
 
Denominator 2.1 fn
1/5+3/10-5/8=-1/8
 
Denominator 3.1 fn
-1/2+(1/2+1/2)=1/2
 
Fragment 1.1 fp
3/5×7/3=7/5
 
Fragment 1.2 fp
14/3×6/35=4/5
 
Fragment 2.1 fp
15/2×4/5×2/9=4/3
 
Reduction 1.1 fp
126/45=14/5
 
Reduction 1.2 fp
480/16=30/1
 
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
 
 
Ceil 0.2 in
100 > -74
 
Ceil 0.3 in
58 < 517
 
 
Ceil 1.3 in
-365 < 448
 
Ceil 2.2 in
-11-49 < -6+1
 
Ceil 2.3 in
24+386 < 138+529
 
Ceil 3.2 in
-95÷(-5) > -100÷2
 
Ceil 3.3 in
-945÷(-105) < -776÷(-4)
 
Point 0.1 dp
16.7+3.8 > 14.6+5.8
 
Point 0.2 dp
41.62-2.87 < 8.3+66.62
 
Point 1.2 dp
81.89 > 51.14
 
Point 1.3 dp
41.862 > 12.645
 
Point 1.4 dp
316.199 < 316.219
 
Point 2.2 dp
99.14-4.49 > 25.21+13.02
 
Point 2.3 dp
10.277+8.723 < 45-7.757
 
Point 3.1 dp
0.8×80 > 75.6÷5.4
 
Point 3.2 dp
2.6×2.4 < 80×0.69
 
Doted 0.1 dn
-30.5 > -54.6
 
Doted 0.2 dn
-60÷(-2) > 1.2×2
 
Doted 1.1 dn
76.8 > -62.4
 
Doted 1.2 dn
79.32 > 63
 
Doted 2.1 dn
-25-19 < 84.8-67.4
 
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
 
Doted 3.1 dn
-67.1÷(-1.1) > 36×(-1.7)
 
Doted 3.2 dn
-76.32÷(-1.44) > 3.2×2.8
 
Improper 0.1 fp
1/5+3/5 > 7/10-1/10
 
Improper 0.2 fp
12/83 < 27/11
 
Improper 1.3 fp
14/1 < 85/1
 
Improper 2.2 fp
163/29-97/29 < 181/19-126/95
 
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
 
Improper 3.1 fp
4/5×5/6 < 1/2÷5/8
 
Improper 3.2 fp
4/3÷16/67 > 19/4×10/57
 
Descent 1.1 fn
-3/5 > -4/5
 
Descent 1.2 fn
9/8 > -1/4
 
Descent 2.1 fn
1/1-5/8 < 1/4+1/4
Equations
 
 
Lineal 0.1 in
-x÷(-2)=-1
 
 
 
 
Lineal 2.2 in
-2×(-x)=62
 
Lineal 2.3 in
-x×61=-610
 
Lineal 3.1 in
10÷x+8=9
 
Lineal 3.2 in
-3×x+29=-1
 
Lineal 4.1 in
-10÷(1-x)=2
 
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
 
 
Rounding 0.1 dp
8.9+70.8≈80
 
Rounding 0.2 dp
30.97≈31
 
Rounding 1.2 dp
99.06≈99.1
 
Rounding 1.3 dp
77.461≈77.46
 
Rounding 2.2 dp
15.82+23.09≈38.9
 
Rounding 2.3 dp
94.006-31.514≈62.49
 
Rounding 3.1 dp
21.5×1.5≈32
 
Rounding 3.2 dp
75×0.2≈15
Language Exercises
 
 
Russian Vocabulary 2.4
к нкурент
 
 
Lexicon 2.3
fa rly [quite]
 
Infinitive 1.2
let       let [let]
 
Infinitive 3.1
unspin             [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-(2+338)+(202-832)=-970
 
Conversant 0.5 in
-487080+435100+45605=-6375
 
 
Conversant 2.4 in
-170+1000+130=960
 
Conversant 2.5 in
-118119+880000-889743=-127862
 
Conversant 3.4 in
-821-(-206+65)=-680
 
Conversant 3.5 in
-233498+(-575715+763305)=-45908
 
Conversant 4.4 in
-(288+616)-(151-335)=-720
 
Conversant 4.5 in
-(100000+90000)-(249388-209388)=-230000
 
Divisor 1.5 ip
90000÷180=500
 
Intellect 0.2 in
99-247÷19=86
 
Intellect 1.2 in
-270-20×3=-330
 
Intellect 2.2 in
105×7-765÷153=730
 
Intellect 3.2 in
-302-4÷(2+2)=-303
 
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
 
Logics 1.2 in
92÷(-2)=-46
 
Logics 2.2 in
-20÷10×(-19)=38
 
Logics 3.2 in
2×(30×(-8))=-480
 
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
 
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
 
 
Partitive 0.4 dp
0+(592.791-78.683)=514.108
 
Partitive 1.4 dp
420.005-20.005=400
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
423.627+(374.827-30)=768.454
 
Split 0.3 dn
3.98-(-13.02-57)=74
 
Split 0.4 dn
-71-489.921=-560.921
 
Split 1.3 dn
95-11.43=83.57
 
Split 1.4 dn
-294.406+538.728=244.322
 
Split 2.3 dn
0.05-45.9-49.15=-95
 
Split 2.4 dn
543.668-193.87-949.798=-600
 
Split 3.3 dn
-94.58-(-12-47.58)=-35
 
Split 3.4 dn
231.633+(-501.023+145.666)=-123.724
 
 
Divisional 1.3 dp
0.924÷0.5=1.848
 
Denary 0.2 dp
1.04÷2.08=0.5
 
Denary 0.3 dp
4.86÷5.625=0.864
 
Denary 1.3 dp
8.625×1.664=14.352
 
Denary 2.3 dp
3÷1.875=1.6
 
Denary 3.3 dp
4×0.017=0.068
 
Denary 4.2 dp
2÷0.08×0.32=8
 
Denary 4.3 dp
27.36÷43.776×52=32.5
 
Denary 5.2 dp
79.8÷(0.15×22.4)=23.75
 
Denary 5.3 dp
(25.502÷51.004)×3.584=1.792
 
Definition 0.2 dp
7.92÷72+89.83=89.94
 
Definition 1.2 dp
7.8×11.4-38.92=50
 
Definition 1.3 dp
86.284-78.125×0.256=66.284
 
Definition 2.2 dp
34.72-0.98×4×1.25=29.82
 
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
 
Definition 3.2 dp
27.92+(65.47-65.29)÷2.25=28
 
Negatory 0.1 dn
48×0.1+1.6÷16=4.9
 
Negatory 0.2 dn
-80÷31.25-23=-25.56
 
Negatory 1.2 dn
15.84×2+30=61.68
 
Negatory 1.3 dn
-1.25×2.24-37.2=-40
 
Negatory 2.2 dn
8.07-12×6.25-3.69=-70.62
 
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
 
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
 
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
 
 
Divisional_ENG 1.3 dp
5.04÷0.375=13.44
Fraction Examples
 
 
Numerator 0.3 fp
227/3-2/3-118/3=107/3
 
Numerator 1.3 fp
230/3-28960/537=4070/179
 
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
 
Numerator 3.3 fp
3044/35-(1/5+27/35)=86/1
 
Denominator 0.2 fn
-60/13-31/13-2/5=-37/5
 
Denominator 1.2 fn
23/9+31/9=6/1
 
Denominator 1.3 fn
-380/13+770/13=30/1
 
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
 
Denominator 3.2 fn
1/5-(1/2-3/10)=0/1
 
Fragment 0.1 fp
(1/2×4/3)÷1/9=6/1
 
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
 
Fragment 1.3 fp
7/10×25/4=35/8
 
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
 
Fragment 2.3 fp
38/3÷380/21÷84/55=11/24
 
Fragment 3.1 fp
10/3÷(3/5×5/9)=10/1
 
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
 
 
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
 
Limited 1.2 fp
336/17×153/56-133/3=29/3
 
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
 
Complete 0.1 fn
2/3÷1/6-3/2=5/2
 
Complete 1.1 fn
9/2-1/3×9/2=3/1
 
Complete 1.2 fn
8/7-428/9÷1498/45=-2/7
 
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
 
 
Ceil 0.4 in
-438376+764292 > -138143-462878
 
Ceil 1.4 in
-815196 < 17890
 
Ceil 2.4 in
-388433+544440 > -91637-66686
 
Ceil 3.4 in
-19×4 < -800000÷(-10)
 
Point 0.3 dp
79.322÷17 > 93.24÷31.08
 
Point 0.4 dp
915.258-396.744 = 736.449-217.935
 
Point 2.4 dp
860.973-709.01 < 129.424+22.543
 
Point 3.3 dp
34.986÷4.998 < 19.272÷1.606
 
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
 
Doted 0.3 dn
70.126 = 70.126
 
Doted 1.3 dn
-46.331 < 52
 
Doted 1.4 dn
-441.303 < 441.295
 
Doted 2.3 dn
-5.166-52.58 < 37.929+11.949
 
Doted 2.4 dn
-438.891-258.86 < 405.505+292.242
 
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
 
Improper 0.3 fp
4393/57-69871/912 < 13/35+50237/665
 
Improper 3.3 fp
698/815÷349/25 < 23/2÷3749/74
 
Descent 0.1 fn
3/4+1/4 = 3/4+1/4
 
Descent 0.2 fn
127/21 > 256/63
 
Descent 1.3 fn
103/241 < 12/17
 
Descent 2.2 fn
3/28-8/91 < -65/11+6/1
 
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
 
Descent 3.2 fn
-1/4×4/27 > 15/52×(-91/27)
Equations
 
 
Lineal 0.3 in
32×(-x)=960
 
Lineal 3.3 in
5-36×x=365
 
Lineal 4.3 in
40×(-291-x)=400
 
Rounding
 
 
Rounding 0.3 dp
16.293+14.006≈30.3
 
Rounding 3.3 dp
0.445×59.384≈26.43
Language Exercises
 
 
Russian Vocabulary 1.5
напер вес
 
Russian Vocabulary 3.4
мульт пликация
 
 
 
Lexicon 1.4
basi  [main]
 
Infinitive 2.2
underwrite             [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-158×54-2160÷80=-8559
 
Intellect 1.3 in
3121-168÷8=3100
 
Intellect 2.3 in
-1925+48×75+2661=4336
 
Intellect 3.3 in
2077-8464÷(-250-118)=2100
 
Logics 0.3 in
(1296÷36)÷6=6
 
Logics 1.3 in
-52×99=-5148
 
Logics 2.3 in
-54×(-4)×17=3672
 
Logics 3.3 in
(-800÷(-25))÷(-4)=-8
 
Logics 4.3 in
4×(-46÷(-2))×(-42)=-3864
Decimal Examples
 
 
 
Denary 0.4 dp
9.576×2.5×0.85=20.349
 
Denary 1.4 dp
2.75×0.004=0.011
 
Denary 2.4 dp
0.506÷5.06=0.1
 
Denary 3.4 dp
828×0.002=1.656
 
Denary 4.4 dp
1.7×64÷68=1.6
 
Denary 5.4 dp
(4×0.011)÷2=0.022
 
Definition 0.3 dp
(0.531+1.037)÷(90-84.4)=0.28
 
Definition 0.4 dp
130.06÷(119.396-114.751)÷345.679=0.081
 
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
40.04-(2.006+1.354)÷84=40
 
Definition 3.4 dp
800.436-(39.298+325.202)÷7.29=750.436
 
Negatory 0.3 dn
-25.734+8×8.918=45.61
 
Negatory 0.4 dn
456.24-65.17×8÷14=419
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
 
Negatory 3.3 dn
(23.636-30.676)÷(0.541+0.099)=-11
 
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
 
Fraction Examples
 
 
Denominator 0.3 fn
2/3-89/3=-29/1
 
Denominator 2.3 fn
61057/630-1073/108-12913/756=699/10
 
Denominator 3.3 fn
-2/9+(-286/9-3185/558)=-21041/558
 
Fragment 0.3 fp
3/4÷3/10÷5/94=47/1
 
Fragment 3.3 fp
(80/99÷10/39)×1437/65=3832/55
 
Limited 0.2 fp
649/32÷(7/9-23/72)=177/4
 
Limited 1.3 fp
105/2÷315/404-181/3=7/1
 
Limited 2.2 fp
(1/2+3/22)÷399/88=8/57
 
Complete 0.2 fn
-(3/5+1658/95)÷686/47=-47/38
 
Complete 1.3 fn
4037/790+17/395×2705/34=3371/395
 
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
 
 
Doted 0.4 dn
-156.978 > -748.831
 
Doted 3.4 dn
-81.34÷(-4.067) > 12.15×(-1.52)
 
Descent 0.3 fn
5576/173÷11152/299 < -48/1×(-47/24)
 
Descent 2.3 fn
56608/835-56723/835 > -1/11-10/11
 
Descent 3.3 fn
14885/606÷2977/48 < 1/3÷1/19
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2-3x+10=0
 
System 0.1 ip
y×15x=405
 
 
System 2.1 ip
7y×x=280
 
 
Set 0.1 in
-2x+6y=40
 
 
Set 2.1 in
216x÷9y=-15
 
Set 3.1 in
-7y-3x=91
Language Exercises
 
 
Russian Vocabulary 2.5
в ттметр
 
 
 
 
Lexicon 1.5
uns ccessful [failed]
 
Lexicon 2.4
fort eth [count]
 
Infinitive 1.3
behold       beheld [behold]
 
Infinitive 3.2
            becomebikm [become]

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