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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
10000+(495252+24826)=530078
 
Beginner 4.5 ip
561273+249458-799031=11700
 
Beginner 5.5 ip
581887-(122155+283170)=176562
 
 
Conversant 1.5 in
-74568-307000=-381568
 
 
 
Cognizant 4.3 ip
7×19×20=2660
 
Cognizant 5.3 ip
(50÷10)×500=2500
 
Cognizant 6.3 ip
2×3648÷(128÷2)=114
 
Remainder 1.3 ip
911÷30=30(11)
 
Multiplier 1.4 ip
60000×100=6000000
 
Divisor 1.3 ip
9616÷16=601
 
Numeracy 0.2 ip
370-384÷128=367
 
Numeracy 0.3 ip
(1200-780)×(256-247)=3780
 
Numeracy 1.3 ip
7000÷350+7117=7137
 
Numeracy 2.3 ip
6154-21×93-200=4001
 
Numeracy 3.2 ip
(30+17)×(210-195)=705
 
Numeracy 3.3 ip
800+(4842-3742)×72=80000
 
Divisor_ENG 1.3 ip
8897÷31=287
 
Decimal Examples
 
 
 
Partitive 0.2 dp
44.5-2=42.5
 
Partitive 1.1 dp
8.4-3.9=4.5
 
Partitive 1.2 dp
63.9-37.9=26
 
Partitive 2.1 dp
2-1.7+8=8.3
 
Partitive 2.2 dp
58.2-1.7+34=90.5
 
Partitive 3.1 dp
2+(6.6-0.2)=8.4
 
Partitive 3.2 dp
57-(33.5+3.5)=20
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
6.8×8=54.4
 
Denary 2.1 dp
33÷1.2=27.5
 
Denary 3.1 dp
2×8.9=17.8
 
Fraction Examples
 
 
Numerator 1.1 fp
1/5+1/10=3/10
Comparisons
 
 
Natural 0.4 ip
300830+407403 < 880295-31818
 
Natural 3.4 ip
119800÷100 < 403155÷9
 
Ceil 0.1 in
6+1 > -4-3
 
 
Ceil 2.1 in
-9+2 < -2+3
 
Ceil 3.1 in
2×(-5) < 4×(-2)
 
Point 1.1 dp
20.7 < 34.8
 
Point 2.1 dp
81.4-79.4 < 3.9+83.3
 
 
Improper 1.2 fp
23/14 < 54/7
 
Improper 2.1 fp
1/6+1/6 < 1/3+2/3
Equations
 
 
Linear 0.2 ip
(x-70)×8=80
 
Linear 0.3 ip
x+753=903
 
Linear 3.3 ip
971-58×x=159
 
Linear 4.2 ip
(19+x)×4=76
 
Linear 4.3 ip
312÷(x-660)=52
 
 
Lineal 2.1 in
x÷(-7)=-1
Rounding
 
 
 
Rounding 2.1 dp
15.3+24.9≈40
 
Round 0.1 ip
986-19≈97
 
Round 0.2 ip
2352+1595≈39
 
Round 0.3 ip
52760+136268≈189
 
Round 1.3 ip
425693≈426
 
Round 2.2 ip
9959-168≈98
 
Round 2.3 ip
220000+66769≈287
 
Round 3.1 ip
29×29≈84
 
Round 3.2 ip
3×985≈30
 
Round 3.3 ip
737856÷122≈6
Language Exercises
 
 
Russian Vocabulary 1.4
иллюм нация
 
Russian Vocabulary 3.3
знам нитый
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
outride             [outride]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
(0+7)-(10-5)=2
 
 
Conversant 0.3 in
-30+(-93+73)=-50
 
 
 
 
Conversant 2.3 in
16-87+11=-60
 
 
Conversant 3.2 in
3+(7-20)=-10
 
Conversant 3.3 in
-66-(0-18)=-48
 
Conversant 4.1 in
-(2+0)-(2+6)=-10
 
Conversant 4.2 in
(16-18)+(3-20)=-19
 
Conversant 4.3 in
(87-29)-(29+70)=-41
 
Cognizant 0.4 ip
4×2×3125=25000
 
Cognizant 1.4 ip
384×150=57600
 
Cognizant 2.4 ip
689850÷7=98550
 
Cognizant 3.4 ip
889320÷2=444660
 
Cognizant 4.4 ip
95040÷96÷11=90
 
Cognizant 5.4 ip
(150000÷20)÷25=300
 
Cognizant 6.4 ip
720÷(3690÷41)×25=200
 
Multiplier 1.5 ip
28000×1250=35000000
 
Divisor 1.4 ip
4725÷25=189
 
Intellect 0.1 in
10-(-3-2)×6=40
 
 
Intellect 2.1 in
-30+10×3×3=60
 
Intellect 3.1 in
-16-(8+2)÷2=-21
 
Logics 0.1 in
2×(-8×4)=-64
 
Logics 1.1 in
57÷(-3)=-19
 
Logics 2.1 in
45÷(-5)×9=-81
 
Logics 3.1 in
(-42÷(-7))×(-10)=-60
 
Logics 4.1 in
-10×(-9)÷(-30÷(-3))=9
 
Divisor_ENG 1.4 ip
78100÷25=3124
Decimal Examples
 
 
Partitive 0.3 dp
77.35+1.66+5=84.01
 
Partitive 1.3 dp
59.25-59.25=0
 
Partitive 2.3 dp
61.65+7+8.39=77.04
 
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
 
Split 0.1 dn
1.8+5.1=6.9
 
Split 0.2 dn
-2.3-53.5-43.9=-99.7
 
Split 1.1 dn
2-9.2=-7.2
 
Split 1.2 dn
-16.6+94.5=77.9
 
Split 2.1 dn
-3.1-7+4=-6.1
 
Split 2.2 dn
-32+15.8+27.2=11
 
Split 3.1 dn
2.9-(-1.8+3)=1.7
 
Split 3.2 dn
8.9-(-26.1+23.8)=11.2
 
Residual 1.1 dp
95÷10=9.5
 
Divisional 1.2 dp
6.3÷4.5=1.4
 
Denary 0.1 dp
8.7÷1.5=5.8
 
Denary 1.2 dp
0.6×30=18
 
Denary 2.2 dp
15.84÷1.98=8
 
Denary 3.2 dp
0.9×4.8=4.32
 
Denary 4.1 dp
9×2.8÷7.2=3.5
 
Denary 5.1 dp
(6.9÷69)÷0.5=0.2
 
Definition 0.1 dp
5.2÷0.8+5.2÷52=6.6
 
Definition 1.1 dp
46.6-2.5×4=36.6
 
Definition 2.1 dp
21+28.5÷3+14.3=44.8
 
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
 
Negatory 1.1 dn
25.1+7.5×3.6=52.1
 
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
 
 
Divisional_ENG 1.2 dp
0.09÷0.6=0.15
Fraction Examples
 
 
Numerator 0.1 fp
3/5+2/5-5/8=3/8
 
Numerator 0.2 fp
183/19-(2/3+25/3)=12/19
 
Numerator 1.2 fp
13/33+379/99=38/9
 
Numerator 2.1 fp
3/5+1/5+1/10=9/10
 
Numerator 2.2 fp
17/2-7/6-112/39=58/13
 
Numerator 3.1 fp
3/5-(8/9-2/5)=1/9
 
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
 
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
 
Denominator 1.1 fn
-3/10-1/2=-4/5
 
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
 
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
 
Fragment 1.1 fp
3/2×37/6=37/4
 
Fragment 1.2 fp
41/3÷82/3=1/2
 
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
 
 
Reduction 1.2 fp
828/24=69/2
 
Limited 1.1 fp
49/9+1/2÷9/4=17/3
Comparisons
 
 
Ceil 0.2 in
4×(-4) = 4×(-4)
 
Ceil 0.3 in
-410-222 < -128-3
 
Ceil 1.2 in
-24 < 48
 
Ceil 1.3 in
-520 < 700
 
Ceil 2.2 in
7-40 < -63+70
 
Ceil 2.3 in
320-0 > -582+530
 
Ceil 3.2 in
-88÷(-2) > 2×20
 
Ceil 3.3 in
23×(-4) > -790÷2
 
Point 0.1 dp
0.5×8 = 27.2÷6.8
 
Point 0.2 dp
58.56÷7.32 < 0.5×80
 
Point 1.2 dp
77.77 > 77.76
 
Point 1.3 dp
50.702 < 50.709
 
Point 1.4 dp
371.1 > 95.15
 
Point 2.2 dp
9.2+50.64 > 0.89+11.16
 
Point 2.3 dp
40-16.233 > 9.441+2.859
 
Point 3.1 dp
4.5×2.8 > 1.5×3.4
 
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
 
Doted 0.1 dn
-93.7 < 35.1
 
Doted 0.2 dn
-54.66 < 6
 
Doted 1.1 dn
27 > -32.8
 
Doted 1.2 dn
44 > -43.4
 
Doted 2.1 dn
59+13.2 > -56+77
 
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
 
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
 
Doted 3.2 dn
-1.05×8.8 > -2×4.63
 
Improper 0.1 fp
1/2×2/3 > 3/5×1/3
 
Improper 0.2 fp
52/11×11/60 > 11/2÷55/8
 
Improper 1.3 fp
59420/633 < 664/7
 
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
 
Improper 2.3 fp
19459/898+22415/898 < 173/2-44/5
 
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
 
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
 
Descent 1.1 fn
3/4 > -2/5
 
Descent 1.2 fn
-293/33 < -49/55
 
Descent 2.1 fn
1/2+1/2 > 4/5-3/5
Equations
 
 
 
Lineal 0.2 in
-6×(-x)=-36
 
 
Lineal 1.3 in
894-x=139
 
 
Lineal 2.3 in
-x×(-2)=-700
 
Lineal 3.1 in
-1+x÷5=1
 
Lineal 3.2 in
x-30=90
 
Lineal 4.1 in
(-x+6)×3=9
 
Lineal 4.2 in
-44÷(-2-x)=22
Rounding
 
 
 
Rounding 0.2 dp
51.99≈52
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
37.997≈38
 
Rounding 2.2 dp
7.21+28.36≈35.6
 
Rounding 2.3 dp
0.671+68.427≈69.1
 
Rounding 3.1 dp
6.7×6≈40
 
Rounding 3.2 dp
2.26×30≈67.8
Language Exercises
 
 
Russian Vocabulary 2.4
н жданный
 
 
Lexicon 2.3
gr nd [lordly]
 
Infinitive 1.2
mistake mistook       [mistake]
 
Infinitive 3.1
      daydreamt       [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-938+(643-435)=-730
 
Conversant 0.5 in
-838313+779082=-59231
 
Conversant 1.4 in
-140+532=392
 
Conversant 2.4 in
-150-180-404=-734
 
Conversant 2.5 in
-25408-300629-472474=-798511
 
Conversant 3.4 in
622-(-707+509)=820
 
Conversant 3.5 in
866806+(-785762+337452)=418496
 
Conversant 4.4 in
(290-423)-(613-820)=74
 
Conversant 4.5 in
-(777050-454953)+(150000-20486)=-192583
 
Divisor 1.5 ip
90000÷180=500
 
Intellect 0.2 in
-238+968÷(-2-2)=-480
 
Intellect 1.2 in
10×2+312=332
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
-210÷(6÷(-3))=105
 
Logics 1.2 in
35×(-26)=-910
 
Logics 2.2 in
40×(-10)÷(-5)=80
 
Logics 3.2 in
(6×60)÷(-40)=-9
 
Logics 4.2 in
20×(-26÷13)×(-8)=320
 
Divisor_ENG 1.5 ip
900000÷125=7200
Decimal Examples
 
 
Partitive 0.4 dp
320.832-72.355+48.523=297
 
Partitive 1.4 dp
427.596-254.6=172.996
 
Partitive 2.4 dp
156.042+339+414.958=910
 
Partitive 3.4 dp
236.131+(503.656-404.787)=335
 
Split 0.3 dn
-40+43.29=3.29
 
Split 0.4 dn
196.204-270.187=-73.983
 
Split 1.3 dn
29.75+40.32=70.07
 
Split 1.4 dn
-10.495-147.571=-158.066
 
Split 2.3 dn
-36.27+86.24-95.42=-45.45
 
Split 2.4 dn
15.832-205.642+55.221=-134.589
 
Split 3.3 dn
-24+(34.16-6.61)=3.55
 
Split 3.4 dn
-160-(170.28+536.543)=-866.823
 
 
Divisional 1.3 dp
0.018÷2=0.009
 
Denary 0.2 dp
86.64÷30.4=2.85
 
Denary 0.3 dp
5.75×0.064=0.368
 
Denary 1.3 dp
2.4×1.33=3.192
 
Denary 2.3 dp
2.124÷2.4=0.885
 
Denary 3.3 dp
1.1×0.04=0.044
 
Denary 4.2 dp
43.75×0.24÷7.5=1.4
 
Denary 4.3 dp
35.64÷88÷1.35=0.3
 
Denary 5.2 dp
0.6÷(27.05÷5.41)=0.12
 
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
 
Definition 0.2 dp
30-0.5×2.4+25.46=54.26
 
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
24.4+8×8.75×1.08=100
 
Definition 2.3 dp
87.502-37.62÷60-38.186=48.689
 
Definition 3.2 dp
2.1÷(63.11-52.61)×33.6=6.72
 
Negatory 0.1 dn
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
21.57+78÷5.2=36.57
 
Negatory 1.2 dn
95.29-2.24×28=32.57
 
Negatory 1.3 dn
65.8-1.728×6.25=55
 
Negatory 2.2 dn
84.33+1.2÷20+15.61=100
 
Negatory 2.3 dn
-25.28+6.4×0.005+55.931=30.683
 
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
 
Negatory 3.2 dn
55.7+(-2.28-0.72)×1.9=50
 
 
Divisional_ENG 1.3 dp
9.72÷2.4=4.05
Fraction Examples
 
 
Numerator 0.3 fp
3903/187+6179/748+2840/153=1717/36
 
Numerator 1.3 fp
53/13+77/13=10/1
 
Numerator 2.3 fp
571/10-25192/445+277/890=4/5
 
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
 
Denominator 0.2 fn
-58/9+4/9=-6/1
 
Denominator 1.2 fn
-52/63+5/7=-1/9
 
Denominator 1.3 fn
41/390+17/78=21/65
 
Denominator 2.2 fn
-305/34+9/7+19/7=-169/34
 
Denominator 3.2 fn
36/5+(-151/30+79/30)=24/5
 
Fragment 0.1 fp
1/2×(4/3÷8/9)=3/4
 
Fragment 0.2 fp
(21/2×9/7)÷135/4=2/5
 
Fragment 1.3 fp
175/4×28/25=49/1
 
Fragment 2.2 fp
62/7÷186/13÷1/7=13/3
 
Fragment 2.3 fp
41/2÷123/4×45/2=15/1
 
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
 
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
 
Reduction 1.3 fp
56368/572=1084/11
 
Limited 0.1 fp
52/9÷4/7-1/9=10/1
 
Limited 1.2 fp
51/2÷85/6+443/40=103/8
 
Limited 2.1 fp
4/5×(4/5+21/5)=4/1
 
Complete 0.1 fn
2/3÷1/6-3/2=5/2
 
Complete 1.1 fn
-7/10÷14/5-1/2=-3/4
 
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
 
Complete 2.1 fn
33/7÷(1/8+3/8)=66/7
Comparisons
 
 
Ceil 0.4 in
-910000 < 380600
 
Ceil 1.4 in
-527758 < 298286
 
Ceil 2.4 in
-202637+662637 < 105202+359469
 
Ceil 3.4 in
600442÷(-2) < 160912÷2
 
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
 
Point 0.4 dp
241.937+48.063 < 320.282+452.885
 
Point 2.4 dp
860.973-709.01 < 129.424+22.543
 
Point 3.3 dp
72.84÷3.642 > 31.62÷9.3
 
Point 3.4 dp
280.824÷4 < 561.664÷8
 
Doted 0.3 dn
-12.172 < 32.917
 
Doted 1.3 dn
29.31 < 44.477
 
Doted 1.4 dn
-890.483 < 890.478
 
Doted 2.3 dn
-96.779+51.333 < 2.149+43.295
 
Doted 2.4 dn
-948.125+212.219 > -511.355-288.645
 
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
 
Improper 0.3 fp
167/2÷835/618 > 15/2÷30/247
 
Improper 3.3 fp
11/47÷11/842 > 201/235÷134/155
 
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
 
Descent 0.2 fn
-5/54+19/2 > 1/4+1/6
 
Descent 1.3 fn
213/254 < 9715/381
 
Descent 2.2 fn
1/3+1/6 > 5/1-11/2
 
Descent 3.1 fn
-1/4÷(-1/2) > -1/4÷1/2
 
Descent 3.2 fn
-3/1×(-139/90) > -1/2÷3/20
Equations
 
 
Lineal 0.3 in
-(-x+764)×250=-1000
 
Lineal 3.3 in
x÷2+425=0
 
Lineal 4.3 in
(957-x)×266=-798
 
Rounding
 
 
Rounding 0.3 dp
56.862-14.962≈41.9
 
Rounding 3.3 dp
57.057÷91.112≈0.63
Language Exercises
 
 
 
Russian Vocabulary 3.4
иллюм нация
 
 
 
Lexicon 1.4
c nnection [union]
 
Infinitive 2.2
wake             [wake]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-6712-(92+1333)×53=-82237
 
Intellect 1.3 in
-1326-40×60=-3726
 
Intellect 2.3 in
-9273-1112×80÷40=-11497
 
Intellect 3.3 in
6298+22÷(3400-3389)=6300
 
Logics 0.3 in
-3520÷8=-440
 
Logics 1.3 in
-2500÷10=-250
 
Logics 2.3 in
-170÷17÷2=-5
 
Logics 3.3 in
3×(36×(-40))=-4320
 
Logics 4.3 in
-1920÷(15×(-8))×49=784
Decimal Examples
 
 
 
Denary 0.4 dp
115.2÷384=0.3
 
Denary 1.4 dp
48.4×0.225=10.89
 
Denary 2.4 dp
15.288÷3=5.096
 
Denary 3.4 dp
828×0.002=1.656
 
Denary 4.4 dp
23.04÷102.4×500=112.5
 
Denary 5.4 dp
3.12÷(15.6×12.5)=0.016
 
Definition 0.3 dp
29.325×1.28-1.024=36.512
 
Definition 0.4 dp
310×0.104+48.75×12.672=650
 
Definition 1.4 dp
309.816+1.84÷10=310
 
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
 
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
 
Definition 3.4 dp
769.975+0.72÷(933-904.2)=770
 
Negatory 0.3 dn
-42.5×1.28-25.444=-79.844
 
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
 
Negatory 3.3 dn
33.6÷(0.72+1.52)÷8=1.875
 
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
 
Fraction Examples
 
 
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
 
Denominator 2.3 fn
44/9+55/9+10332/607=17009/607
 
Denominator 3.3 fn
12/5-(13/4-68/5)=51/4
 
Fragment 0.3 fp
41/3÷205/3=1/5
 
Fragment 3.3 fp
(39/2÷13/33)÷153/32=176/17
 
Limited 0.2 fp
5/8-19/2÷1292/45=5/17
 
Limited 1.3 fp
1/2÷9/118+247/9=34/1
 
Limited 2.2 fp
(178/9-685/36)×604/29=453/29
 
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
 
Complete 1.3 fn
22/119×56/11+273/17=17/1
 
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
 
 
Doted 0.4 dn
231.055+124.497 < 954.205-88.785
 
Doted 3.4 dn
-62.9÷3.7 = 358.666÷(-21.098)
 
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
 
Descent 2.3 fn
-619/142-7601/284 < 848/13-108/13
 
Descent 3.3 fn
-2353/110÷5249/80 > 1025/26÷(-29725/663)
Equations
 
 
 
 
 
 
System 0.1 ip
10y-7x=20
 
 
System 2.1 ip
28y÷7x=10
 
 
Set 0.1 in
-3y×12x=-324
 
 
Set 2.1 in
-2y×19x=304
 
Set 3.1 in
7x-10y=140
Language Exercises
 
 
Russian Vocabulary 2.5
наскво ь
 
 
 
 
Lexicon 1.5
surpri ingly [amazingly]
 
Lexicon 2.4
fort eth [count]
 
Infinitive 1.3
draw drew       [draw]
 
Infinitive 3.2
            foreseen [foresee]

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