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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
247460+235469+495207=978136
 
Beginner 4.5 ip
957089-7288-549801=400000
 
Beginner 5.5 ip
821768-(742824-556000)=634944
 
 
Conversant 1.5 in
-176346+366346=190000
 
 
 
Cognizant 4.3 ip
210÷14÷15=1
 
Cognizant 5.3 ip
9044÷(2×2)=2261
 
Cognizant 6.3 ip
960÷16×(90÷6)=900
 
Remainder 1.3 ip
910÷100=9(10)
 
Multiplier 1.4 ip
20000×467=9340000
 
Divisor 1.3 ip
1200÷10=120
 
Numeracy 0.2 ip
780÷4-95=100
 
Numeracy 0.3 ip
4046+46×438=24194
 
Numeracy 1.3 ip
7200÷16-250=200
 
Numeracy 2.3 ip
3110×30+5400÷27=93500
 
Numeracy 3.2 ip
(442-338)×(384-383)=104
 
Numeracy 3.3 ip
(598-570)×(21+22)=1204
 
 
Decimal Examples
 
 
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
 
Partitive 0.2 dp
30.6+39.3+24=93.9
 
 
 
Partitive 2.1 dp
1.7+1.5+1.4=4.6
 
Partitive 2.2 dp
39.9+29+5.1=74
 
Partitive 3.1 dp
2+(6.6-0.2)=8.4
 
Partitive 3.2 dp
67-(60-44)=51
 
Divisional 1.1 dp
35.2÷0.5=70.4
 
Denary 1.1 dp
6×6.6=39.6
 
Denary 2.1 dp
16.4÷0.5=32.8
 
Denary 3.1 dp
84÷1.2=70
 
Fraction Examples
 
 
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
 
 
Natural 0.4 ip
416595 < 610000
 
Natural 3.4 ip
114×7 > 3×4
 
 
 
Ceil 2.1 in
-4+10 > 2-8
 
Ceil 3.1 in
-6÷3 < 4×2
 
Point 1.1 dp
33.6 < 91.3
 
Point 2.1 dp
98.1-22.4 < 84.4-5.9
 
Improper 1.1 fp
1/6 < 9/10
 
Improper 1.2 fp
20/37 < 661/74
 
Improper 2.1 fp
9/10-1/10 > 1/4+1/4
Equations
 
 
Linear 0.2 ip
(17+x)×2=40
 
Linear 0.3 ip
x×90=630
 
Linear 3.3 ip
62×x-326=294
 
Linear 4.2 ip
(x+25)×2=76
 
Linear 4.3 ip
220×(795-x)=440
 
 
Rounding
 
 
 
Rounding 2.1 dp
54.7+21.7≈76
 
Round 0.1 ip
510-333≈18
 
Round 0.2 ip
2352+1595≈39
 
Round 0.3 ip
959576÷472≈2
 
Round 1.3 ip
102436≈102
 
Round 2.2 ip
9959-168≈98
 
Round 2.3 ip
361600+911≈363
 
Round 3.1 ip
29×29≈84
 
Round 3.2 ip
1004×8≈80
 
Round 3.3 ip
3238×200≈648
Language Exercises
 
 
Russian Vocabulary 1.4
альб трос
 
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
quick-freeze             [quick-freeze]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
Conversant 0.1 in
-(1-10)+(4-10)=3
 
 
Conversant 0.3 in
-30+(-93+73)=-50
 
 
 
 
Conversant 2.3 in
-65+6+100=41
 
 
Conversant 3.2 in
-5-(1+14)=-20
 
Conversant 3.3 in
16+(54-5)=65
 
Conversant 4.1 in
(10+5)+(1-9)=7
 
Conversant 4.2 in
-(16-18)+(13-13)=2
 
Conversant 4.3 in
-(100-100)-(49-19)=-30
 
Cognizant 0.4 ip
10720÷(62042÷926)×25=4000
 
Cognizant 1.4 ip
982×594=583308
 
Cognizant 2.4 ip
618240÷2576=240
 
Cognizant 3.4 ip
125×40=5000
 
Cognizant 4.4 ip
384÷48×403=3224
 
Cognizant 5.4 ip
70000÷(26250÷75)=200
 
Cognizant 6.4 ip
66÷2×(740×22)=537240
 
Multiplier 1.5 ip
7734×7000=54138000
 
Divisor 1.4 ip
22400÷32=700
 
Intellect 0.1 in
22×2-13=31
 
Intellect 1.1 in
-32-2×19=-70
 
Intellect 2.1 in
28-69÷23-95=-70
 
Intellect 3.1 in
63-30÷(6+4)=60
 
Logics 0.1 in
2×25÷(10÷2)=10
 
 
Logics 2.1 in
4×2×8=64
 
Logics 3.1 in
(-42÷(-7))×(-10)=-60
 
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
 
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
 
 
Partitive 0.3 dp
31.85+47.76=79.61
 
Partitive 1.3 dp
96.8-20=76.8
 
Partitive 2.3 dp
5.59+64.56-25.55=44.6
 
Partitive 3.3 dp
65-(50+10.22)=4.78
 
Split 0.1 dn
1.8+5.1=6.9
 
Split 0.2 dn
-18+5.6+82.2=69.8
 
Split 1.1 dn
6.3-4.4=1.9
 
Split 1.2 dn
15.4-65=-49.6
 
Split 2.1 dn
4.7+6.9-9.7=1.9
 
Split 2.2 dn
-45.3-30-10=-85.3
 
Split 3.1 dn
5.2-(8+1.7)=-4.5
 
Split 3.2 dn
-15.2+(-61-17.1)=-93.3
 
Residual 1.1 dp
72÷5=14.4
 
Divisional 1.2 dp
20.4÷0.8=25.5
 
Denary 0.1 dp
(6.4×0.5)÷0.4=8
 
Denary 1.2 dp
35×0.12=4.2
 
Denary 2.2 dp
28.44÷0.79=36
 
Denary 3.2 dp
16÷12.5=1.28
 
Denary 4.1 dp
0.8÷0.5×2.5=4
 
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
 
Definition 0.1 dp
41.4-(0.5+0.3)×2.5=39.4
 
Definition 1.1 dp
18.8+3.2×3=28.4
 
Definition 2.1 dp
6×0.5+3.6÷1.2=6
 
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
 
Negatory 1.1 dn
-18÷1.8-23=-33
 
Negatory 2.1 dn
64.6-7.6÷9.5×19=49.4
 
 
Fraction Examples
 
 
Numerator 0.1 fp
2/5+(3/5-1/4)=3/4
 
Numerator 0.2 fp
29/5-(59/30-13/18)=41/9
 
Numerator 1.2 fp
5/7+169/28=27/4
 
Numerator 2.1 fp
3/5+1/5+1/10=9/10
 
Numerator 2.2 fp
154/85+121/85+77/34=11/2
 
Numerator 3.1 fp
3/5-(9/10-4/5)=1/2
 
Numerator 3.2 fp
491/60-(821/100-43/50)=5/6
 
Denominator 0.1 fn
-1/3+3/4+1/4=2/3
 
Denominator 1.1 fn
-1/8-3/4=-7/8
 
Denominator 2.1 fn
-1/2-1/2+2/5=-3/5
 
Denominator 3.1 fn
-1/3+(1/3-1/3)=-1/3
 
Fragment 1.1 fp
1/3÷2/5=5/6
 
Fragment 1.2 fp
125/13÷5/26=50/1
 
Fragment 2.1 fp
16/3÷2/3÷5/6=48/5
 
 
Reduction 1.2 fp
9423/189=349/7
 
Limited 1.1 fp
2/3×6/7+3/7=1/1
Comparisons
 
 
Ceil 0.2 in
-38×2 < 16÷(-2)
 
Ceil 0.3 in
978÷(-6) < -810÷6
 
Ceil 1.2 in
-100 < 4
 
Ceil 1.3 in
-410 < 1000
 
Ceil 2.2 in
63+36 > -50-32
 
Ceil 2.3 in
58+42 > -70-664
 
Ceil 3.2 in
100÷(-25) < -90÷30
 
Ceil 3.3 in
-36×(-4) = 720÷5
 
Point 0.1 dp
1.8×5 = 45.9÷5.1
 
Point 0.2 dp
58.56÷7.32 < 0.5×80
 
Point 1.2 dp
79.15 > 74
 
Point 1.3 dp
83.811 < 83.827
 
Point 1.4 dp
371.1 > 95.15
 
Point 2.2 dp
81.45-18.25 > 1.87+0.35
 
Point 2.3 dp
95.598-3.355 = 99.734-7.491
 
Point 3.1 dp
34.5×2 > 97.2÷8.1
 
Point 3.2 dp
3.6÷2 < 1.44×60
 
Doted 0.1 dn
39.2÷(-0.7) = 89.6÷(-1.6)
 
Doted 0.2 dn
-77.16 < 89
 
Doted 1.1 dn
-66.5 < 30.1
 
Doted 1.2 dn
13 > -0.47
 
Doted 2.1 dn
75.4-7.8 > -45.9-21.9
 
Doted 2.2 dn
35.88-2.98 < 74.36+12.64
 
Doted 3.1 dn
3.5×(-0.8) < 33.6÷12
 
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
 
 
Improper 0.2 fp
227/79 > 1/2
 
Improper 1.3 fp
59420/633 < 664/7
 
Improper 2.2 fp
17/2-81/10 < 11/2-23/6
 
Improper 2.3 fp
3041/68-3019/68 < 3255/289+26215/578
 
Improper 3.1 fp
2/5÷1/2 > 1/3÷5/6
 
Improper 3.2 fp
2/3×95/32 > 5/2×1/5
 
Descent 1.1 fn
-1/10 < 3/5
 
Descent 1.2 fn
-264/49 < 125/17
 
Descent 2.1 fn
2/3+1/3 > -2/9-1/9
Equations
 
 
Lineal 0.1 in
-1+x÷7=-1
 
Lineal 0.2 in
-6×(-x)=-36
 
 
Lineal 1.3 in
894-x=139
 
Lineal 2.2 in
-58÷(-x)=2
 
Lineal 2.3 in
-x×(-2)=-700
 
Lineal 3.1 in
-3-x÷5=-5
 
Lineal 3.2 in
52+94÷x=54
 
Lineal 4.1 in
-10÷(1-x)=2
 
Lineal 4.2 in
32÷(-18+x)=-4
Rounding
 
 
Rounding 0.1 dp
15.7+14.2≈30
 
Rounding 0.2 dp
19.91÷5≈4
 
Rounding 1.2 dp
20.35≈20.4
 
Rounding 1.3 dp
61.596≈61.6
 
Rounding 2.2 dp
29.55+63.64≈93.2
 
Rounding 2.3 dp
3.977+18.018≈22
 
Rounding 3.1 dp
4.3×15.7≈68
 
Rounding 3.2 dp
25.8×1.28≈33
Language Exercises
 
 
Russian Vocabulary 2.4
бр дячий
 
 
Lexicon 2.3
s ider [arachnid]
 
Infinitive 1.2
overspill overspilt       [overspill]
 
Infinitive 3.1
tread             [tread]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
(281+450)-(997-290)=24
 
Conversant 0.5 in
-340000+470000-406000=-276000
 
Conversant 1.4 in
-499+18=-481
 
Conversant 2.4 in
-586-990+749=-827
 
Conversant 2.5 in
270263-211719-423939=-365395
 
Conversant 3.4 in
-229-(346+83)=-658
 
Conversant 3.5 in
80712-(610000+352355)=-881643
 
Conversant 4.4 in
(530-357)-(750+291)=-868
 
Conversant 4.5 in
(153170+29689)+(606039-878898)=-90000
 
Divisor 1.5 ip
60000÷600=100
 
Intellect 0.2 in
52÷2-236=-210
 
Intellect 1.2 in
11+22÷2=22
 
Intellect 2.2 in
16-39×12÷18=-10
 
Intellect 3.2 in
326-(-37-39)÷4=345
 
Logics 0.2 in
91÷(-7)=-13
 
Logics 1.2 in
-10×20=-200
 
Logics 2.2 in
-20×25÷2=-250
 
Logics 3.2 in
36÷(-12÷2)=-6
 
Logics 4.2 in
10×10÷(-2×(-5))=10
 
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
 
 
Partitive 0.4 dp
78.4+(378.278+125.791)=582.469
 
Partitive 1.4 dp
399.582+9.241=408.823
 
Partitive 2.4 dp
9.226+380-334.3=54.926
 
Partitive 3.4 dp
225.89-(73-37.89)=190.78
 
Split 0.3 dn
21-21.29-73.7=-73.99
 
Split 0.4 dn
119.87-341.97+409.266=187.166
 
Split 1.3 dn
67.28+22.69=89.97
 
Split 1.4 dn
-10.495-147.571=-158.066
 
Split 2.3 dn
-73.8-66+93.62=-46.18
 
Split 2.4 dn
-600+543.786+24.469=-31.745
 
Split 3.3 dn
73.31-(-15.54-1.61)=90.46
 
Split 3.4 dn
-103.502+(-187.812+303.314)=12
 
Residual 1.2 dp
73÷25=2.92
 
Divisional 1.3 dp
0.952÷0.448=2.125
 
Denary 0.2 dp
3.75×4=15
 
Denary 0.3 dp
5.75×0.064=0.368
 
Denary 1.3 dp
1.28×3.125=4
 
Denary 2.3 dp
0.57÷0.95=0.6
 
Denary 3.3 dp
4.05×0.2=0.81
 
Denary 4.2 dp
2÷0.08×0.32=8
 
Denary 4.3 dp
0.8×0.5÷0.004=100
 
Denary 5.2 dp
(7.8÷2.5)÷15.6=0.2
 
Denary 5.3 dp
(2.5×0.016)÷20=0.002
 
Definition 0.2 dp
(97.23-8.31)÷(1.14+13.68)=6
 
Definition 1.2 dp
29.2-2.72÷13.6=29
 
Definition 1.3 dp
65.713+3.519×4=79.789
 
Definition 2.2 dp
51.25+0.6×0.2-2.37=49
 
Definition 2.3 dp
38.8-1.3×32×0.5=18
 
Definition 3.2 dp
83×(48-47.33)÷1.66=33.5
 
Negatory 0.1 dn
55.8+12.5×0.8-58.9=6.9
 
Negatory 0.2 dn
-67.71+77.76÷(1.07+1.33)=-35.31
 
Negatory 1.2 dn
-7×4.4+11.44=-19.36
 
Negatory 1.3 dn
65.8-1.728×6.25=55
 
Negatory 2.2 dn
-31.6-5.52×12÷1.84=-67.6
 
Negatory 2.3 dn
-62.822+6÷2.4+37.322=-23
 
Negatory 3.1 dn
(16.5-16)×(6.5+1.9)=4.2
 
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
 
 
Divisional_ENG 1.3 dp
0.048÷0.01=4.8
Fraction Examples
 
 
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
 
Numerator 1.3 fp
2437/95+1108/95=709/19
 
Numerator 2.3 fp
21/10+549/10-5991/488=21825/488
 
Numerator 3.3 fp
24867/446-(367/669+110/669)=24549/446
 
Denominator 0.2 fn
33/20-(1/5+9/20)=1/1
 
Denominator 1.2 fn
29/5-28/5=1/5
 
Denominator 1.3 fn
-134/19-22200/247=-23942/247
 
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
 
Denominator 3.2 fn
71/95-(-1/5-269/38)=305/38
 
Fragment 0.1 fp
7/3×4/3÷32/9=7/8
 
Fragment 0.2 fp
1/2÷3/5=5/6
 
Fragment 1.3 fp
81/2÷9/20=90/1
 
Fragment 2.2 fp
2/3×59/2÷236/5=5/12
 
Fragment 2.3 fp
3627/85÷1116/25÷13/4=5/17
 
Fragment 3.1 fp
(1/2÷3/2)÷3/8=8/9
 
Fragment 3.2 fp
28/5÷(3/4÷3/40)=14/25
 
Reduction 1.3 fp
57920/880=724/11
 
Limited 0.1 fp
13/8×(1/3+2/3)=13/8
 
Limited 1.2 fp
122/13-1/2÷13/62=7/1
 
Limited 2.1 fp
(13/4+23/4)×2/3=6/1
 
Complete 0.1 fn
2/3-1/2×8/3=-2/3
 
Complete 1.1 fn
-19/2÷10/9+83/10=-1/4
 
Complete 1.2 fn
7/8×496/21+83/20=1489/60
 
Complete 2.1 fn
(-1/3-1/6)÷5/6=-3/5
Comparisons
 
 
Ceil 0.4 in
-438376+764292 > -138143-462878
 
Ceil 1.4 in
-809034 < 652031
 
Ceil 2.4 in
2457+377575 > -249715-201760
 
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
 
Point 0.3 dp
80.032 > 9.426
 
Point 0.4 dp
241.937+48.063 < 320.282+452.885
 
Point 2.4 dp
4.467+37.136 < 126.849+127.583
 
Point 3.3 dp
1.5×1.2 < 0.912×41.25
 
Point 3.4 dp
954.085÷10.043 > 26×2.53
 
Doted 0.3 dn
90.929 > -81.469
 
Doted 1.3 dn
-34 < 44.387
 
Doted 1.4 dn
-931.524 < 220
 
Doted 2.3 dn
5.133+9.104 < -18.552+32.805
 
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
 
Doted 3.3 dn
60.515÷1.235 > -14.4×(-2)
 
Improper 0.3 fp
251/4-23/4 > 552/11+31/11
 
Improper 3.3 fp
1/4×176/47 < 471/17×2125/628
 
Descent 0.1 fn
1/2-1/4 < -2/9+8/9
 
Descent 0.2 fn
-5/1 < -7/8
 
Descent 1.3 fn
-648/751 < 168/5
 
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
 
Descent 3.1 fn
-4/5×(-3/4) < -1/2÷(-3/4)
 
Descent 3.2 fn
-700/99×(-88/75) > -6/1×(-43/34)
Equations
 
 
 
Lineal 3.3 in
-555+29×x=460
 
Lineal 4.3 in
-60×(865-x)=540
 
Rounding
 
 
Rounding 0.3 dp
0.561×76.391≈42.86
 
Rounding 3.3 dp
100÷1.25≈80
Language Exercises
 
 
Russian Vocabulary 1.5
б рельеф
 
Russian Vocabulary 3.4
к рректный
 
 
 
Lexicon 1.4
caref l [anxious]
 
Infinitive 2.2
            sown [sow]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-3528÷49+30×1167=34938
 
Intellect 1.3 in
1657×11+3560=21787
 
Intellect 2.3 in
-5264×11-91×56=-63000
 
Intellect 3.3 in
(-3684-1052)÷(25+123)=-32
 
Logics 0.3 in
25×(-19)=-475
 
Logics 1.3 in
20×(-10)=-200
 
Logics 2.3 in
-170÷17÷2=-5
 
Logics 3.3 in
(192÷(-32))×40=-240
 
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
 
 
Residual 1.3 dp
54÷40=1.35
 
Denary 0.4 dp
12.48÷(192÷100)=6.5
 
Denary 1.4 dp
23×0.002=0.046
 
Denary 2.4 dp
11.4÷30.4=0.375
 
Denary 3.4 dp
51.48÷3.75=13.728
 
Denary 4.4 dp
0.76÷6.08÷125=0.001
 
Denary 5.4 dp
(4÷62.5)÷0.8=0.08
 
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
 
Definition 0.4 dp
361×0.729+326.831=590
 
Definition 1.4 dp
262.198-1.25×80=162.198
 
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
 
Definition 3.3 dp
32.05-0.045÷(0.5+0.4)=32
 
Definition 3.4 dp
312.5÷(13.407+36.593)×80=500
 
Negatory 0.3 dn
-3.36÷(-5.646-4.854)÷0.05=6.4
 
Negatory 0.4 dn
-1.2×384.8+246.534=-215.226
 
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
 
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
 
Negatory 3.3 dn
2.97÷(0.5-0.1)÷0.44=16.875
 
Negatory 3.4 dn
704.398-547.2÷(1.197+1.803)=521.998
 
Fraction Examples
 
 
Denominator 0.3 fn
-24749/508+27/254=-24695/508
 
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
162/5×(404/19÷1616/19)=81/10
 
Fragment 3.3 fp
(165/8×16/33)÷20/79=79/2
 
Limited 0.2 fp
158/51×(6/5+37/40)=79/12
 
Limited 1.3 fp
105/2÷315/404-181/3=7/1
 
Limited 2.2 fp
(1/5+3/10)÷13/20=10/13
 
Complete 0.2 fn
765/44÷85/4+343/11=32/1
 
Complete 1.3 fn
105/152×368/735-8/133=2/7
 
Complete 2.2 fn
-(3/4+1/20)×65/2=-26/1
Comparisons
 
 
Doted 0.4 dn
-1.728×15 < -145.348÷(-10.382)
 
Doted 3.4 dn
3.125×(-16.896) < -13.845÷1.3
 
Descent 0.3 fn
-50/7×(-63/40) > -135/2÷405/314
 
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
 
Descent 3.3 fn
-39/11÷(-2841/143) > -402/5÷134/125
Equations
 
 
Quadratic 0.1 in
-x2+7x-10=0
 
 
 
Quadratic 3.1 in
-x2+12x-11=0
 
 
 
System 2.1 ip
10x×2y=100
 
System 3.1 ip
10y+4x=116
 
Set 0.1 in
-10y×8x=800
 
 
Set 2.1 in
2x×24y=768
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
circ mstance [fact]
 
Lexicon 2.4
anal se [decompose]
 
Infinitive 1.3
withdraw       withdrawn [withdraw]
 
Infinitive 3.2
sow             [sow]

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