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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
259242+(953998-698000)=515240
 
Beginner 4.5 ip
956297-3081-25816=927400
 
Beginner 5.5 ip
994942-(472617+153626)=368699
 
 
Conversant 1.5 in
-74568-307000=-381568
 
 
Cognizant 0.3 ip
1242÷27×48=2208
 
Cognizant 4.3 ip
5×15×32=2400
 
Cognizant 5.3 ip
120÷(15÷3)=24
 
Cognizant 6.3 ip
19×(26×40)÷2=9880
 
Remainder 1.3 ip
436÷67=6(34)
 
Multiplier 1.4 ip
583×610=355630
 
Divisor 1.3 ip
7350÷49=150
 
Numeracy 0.2 ip
780÷4-95=100
 
Numeracy 0.3 ip
541+12×12+15=700
 
Numeracy 1.3 ip
9108÷12-59=700
 
Numeracy 2.3 ip
9357-1200÷600×1219=6919
 
Numeracy 3.2 ip
319-171÷(550-379)=318
 
Numeracy 3.3 ip
7498+150÷(4143-4068)=7500
 
Divisor_ENG 1.3 ip
7991÷61=131
 
Decimal Examples
 
 
Partitive 0.1 dp
7.7-3.3=4.4
 
Partitive 0.2 dp
86.2-25.4=60.8
 
Partitive 1.1 dp
5.4+4.4=9.8
 
Partitive 1.2 dp
12.1+34.9=47
 
Partitive 2.1 dp
1.5+2.1+0.6=4.2
 
Partitive 2.2 dp
30+100-65=65
 
Partitive 3.1 dp
1.6+(0.8+1.3)=3.7
 
Partitive 3.2 dp
84-(7.9+52)=24.1
 
 
Denary 1.1 dp
0.6×60=36
 
Denary 2.1 dp
63.8÷2.2=29
 
Denary 3.1 dp
2×8.9=17.8
 
Fraction Examples
 
 
Numerator 1.1 fp
1/5-1/10=1/10
Comparisons
 
 
Natural 0.4 ip
300830+407403 < 880295-31818
 
Natural 3.4 ip
5×98 > 48300÷100
 
Ceil 0.1 in
-2×2 < -4÷(-4)
 
 
Ceil 2.1 in
4+5 < 6+4
 
Ceil 3.1 in
2×2 > 9÷3
 
Point 1.1 dp
83.3 > 59.9
 
Point 2.1 dp
89.4-60.8 > 76-62.2
 
 
Improper 1.2 fp
36/41 > 45/82
 
Improper 2.1 fp
2/3+1/3 > 9/10-3/10
Equations
 
 
 
Linear 0.3 ip
x+753=903
 
Linear 3.3 ip
85+x×83=915
 
Linear 4.2 ip
(x+5)×5=30
 
Linear 4.3 ip
648÷(x+6)=108
 
 
Lineal 2.1 in
x×(-5)=-10
Rounding
 
 
 
Rounding 2.1 dp
73.2-9.5≈64
 
Round 0.1 ip
671÷11≈6
 
Round 0.2 ip
304+2279≈26
 
Round 0.3 ip
255711≈256
 
Round 1.3 ip
425693≈426
 
Round 2.2 ip
30+73≈1
 
Round 2.3 ip
945024-244674≈700
 
Round 3.1 ip
516÷2≈26
 
Round 3.2 ip
87×13≈11
 
Round 3.3 ip
317850÷489≈1
Language Exercises
 
 
Russian Vocabulary 1.4
ст дёный
 
 
 
 
 
Lexicon 1.3
f intly [weakly]
 
Infinitive 2.1
            outridden [outride]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-100+56+14=-30
 
Conversant 3.1 in
10-(-5+5)=10
 
Conversant 3.2 in
-10-(17-11)=-16
 
Conversant 3.3 in
-34+(90-37)=19
 
Conversant 4.1 in
(9-3)-(8+5)=-7
 
Conversant 4.2 in
-(13+10)+(17-1)=-7
 
Conversant 4.3 in
-(60+49)+(79+11)=-19
 
Cognizant 0.4 ip
300×1800=540000
 
Cognizant 1.4 ip
550×456=250800
 
 
Cognizant 3.4 ip
756588÷14=54042
 
Cognizant 4.4 ip
384÷48×403=3224
 
Cognizant 5.4 ip
216÷(18×2)=6
 
Cognizant 6.4 ip
200×38÷(190×4)=10
 
Multiplier 1.5 ip
4130×4059=16763670
 
Divisor 1.4 ip
60000÷30=2000
 
Intellect 0.1 in
-45÷5-51=-60
 
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
(100-10)÷(13-4)=10
 
Logics 0.1 in
-64÷(2×(-2))÷(-4)=-4
 
Logics 1.1 in
8×(-8)=-64
 
Logics 2.1 in
-6×4×(-3)=72
 
Logics 3.1 in
-5×(-5×(-2))=-50
 
Logics 4.1 in
10×(-3)÷(5×(-2))=3
 
Divisor_ENG 1.4 ip
65961÷21=3141
Decimal Examples
 
 
Partitive 0.3 dp
18.26+(63.2-7.85)=73.61
 
Partitive 1.3 dp
26.24-25.89=0.35
 
Partitive 2.3 dp
49.24+21.71-63.09=7.86
 
Partitive 3.3 dp
8.06+(27.11-0)=35.17
 
Split 0.1 dn
3.8+1.1=4.9
 
Split 0.2 dn
-92.4-5.7+76=-22.1
 
Split 1.1 dn
3.4+5.9=9.3
 
Split 1.2 dn
-79.5+64=-15.5
 
Split 2.1 dn
-4+6.8-4.8=-2
 
Split 2.2 dn
55.5-97.7-35.3=-77.5
 
Split 3.1 dn
0.8-(5.7+5)=-9.9
 
Split 3.2 dn
-6.5-(-19.4+39.9)=-27
 
 
 
Denary 0.1 dp
11.7×(1.6×2.5)=46.8
 
Denary 1.2 dp
1.25×2.52=3.15
 
Denary 2.2 dp
2.24÷1.75=1.28
 
Denary 3.2 dp
1.92×1.25=2.4
 
Denary 4.1 dp
21.6×2.5÷7.2=7.5
 
Denary 5.1 dp
(66.2÷33.1)×14.4=28.8
 
Definition 0.1 dp
63.8-1.6×2.5÷5=63
 
Definition 1.1 dp
16.4-35.2÷8=12
 
Definition 2.1 dp
51-0.5×5-40.5=8
 
Definition 3.1 dp
(1.1+0.4)÷(8.6+6.4)=0.1
 
Negatory 1.1 dn
-10.2-15.6÷2.4=-16.7
 
Negatory 2.1 dn
-34÷8.5+0.6×30=14
 
 
Fraction Examples
 
 
Numerator 0.1 fp
4/5-(1/4+1/4)=3/10
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
1/18+1/9=1/6
 
Numerator 2.1 fp
7/9-4/9+1/2=5/6
 
Numerator 2.2 fp
99/19-23/19-17/19=59/19
 
Numerator 3.1 fp
2/9+(1/3-1/3)=2/9
 
Numerator 3.2 fp
122/29-(154/87-136/87)=4/1
 
Denominator 0.1 fn
2/5-(3/5-1/5)=0/1
 
Denominator 1.1 fn
5/8-7/8=-1/4
 
Denominator 2.1 fn
2/5-5/6+1/10=-1/3
 
Denominator 3.1 fn
3/5-(-2/5+7/8)=1/8
 
Fragment 1.1 fp
3/4×68/7=51/7
 
Fragment 1.2 fp
2/5÷1/5=2/1
 
Fragment 2.1 fp
3/5×10/9÷6/5=5/9
 
 
Reduction 1.2 fp
1200/50=24/1
 
Limited 1.1 fp
11/5+1/2×1/10=9/4
Comparisons
 
 
Ceil 0.2 in
60÷10 < -10×(-2)
 
Ceil 0.3 in
-22×(-3) = 11×6
 
Ceil 1.2 in
-26 < -24
 
Ceil 1.3 in
619 > 610
 
Ceil 2.2 in
18+43 > -28+57
 
Ceil 2.3 in
169+616 < -50+994
 
Ceil 3.2 in
-40÷(-20) < -90÷(-3)
 
Ceil 3.3 in
-640÷(-16) < 666÷2
 
Point 0.1 dp
16.2 < 16.3
 
Point 0.2 dp
56.88-4.25 < 1.7+50.94
 
Point 1.2 dp
79.92 > 79.9
 
Point 1.3 dp
63.298 > 40
 
Point 1.4 dp
613.151 > 449.867
 
Point 2.2 dp
26.53+26.28 > 1.85+50.07
 
Point 2.3 dp
83.011-3.011 > 85.057-20.761
 
Point 3.1 dp
87÷5.8 > 0.5×20.8
 
Point 3.2 dp
69.57÷7.73 < 45.03÷2.37
 
Doted 0.1 dn
47.3 > -86
 
Doted 0.2 dn
-60÷(-2) > 1.2×2
 
Doted 1.1 dn
97 < 97.3
 
Doted 1.2 dn
-98.21 < -69
 
Doted 2.1 dn
63.7-7.3 > -33.7+89.9
 
Doted 2.2 dn
2.8-36.26 < 46.49-8.25
 
Doted 3.1 dn
1.1×(-14) = 77÷(-5)
 
Doted 3.2 dn
-16×(-4.95) > 97.6÷(-4.88)
 
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
 
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
 
Improper 1.3 fp
641/220 < 11698/121
 
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
 
Improper 2.3 fp
455/17-268/17 < 1/2+23/2
 
Improper 3.1 fp
1/5÷7/10 < 2/3×1/2
 
Improper 3.2 fp
34/13÷323/39 < 175/76×52/25
 
Descent 1.1 fn
-2/7 < 2/7
 
Descent 1.2 fn
20/41 > -8/19
 
Descent 2.1 fn
1/1-1/5 > -1/2-1/4
Equations
 
 
 
Lineal 0.2 in
x×2+68=-10
 
 
 
Lineal 2.2 in
-x×10=-100
 
Lineal 2.3 in
-x×(-2)=-700
 
Lineal 3.1 in
-1+x÷5=1
 
Lineal 3.2 in
-100÷x-10=0
 
Lineal 4.1 in
-2×(x-7)=6
 
Lineal 4.2 in
36÷(-x-82)=6
Rounding
 
 
Rounding 0.1 dp
92.5-20.5≈72
 
Rounding 0.2 dp
62.56÷3.03≈20.6
 
Rounding 1.2 dp
83.78≈83.8
 
Rounding 1.3 dp
11.882≈11.88
 
Rounding 2.2 dp
89.29-14.12≈75.2
 
Rounding 2.3 dp
98.601-0.651≈97.95
 
Rounding 3.1 dp
6.3×2.9≈18
 
Rounding 3.2 dp
75×0.2≈15
Language Exercises
 
 
Russian Vocabulary 2.4
просв щённый
 
 
Lexicon 2.3
stud o [workshop]
 
Infinitive 1.2
rethink       rethought [rethink]
 
Infinitive 3.1
unspin             [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
(281+450)-(997-290)=24
 
Conversant 0.5 in
(450000+278390)-(363884-311853)=676359
 
Conversant 1.4 in
-602+442=-160
 
Conversant 2.4 in
-413+822-641=-232
 
Conversant 2.5 in
964094+16553-417936=562711
 
Conversant 3.4 in
287-(582+82)=-377
 
Conversant 3.5 in
-177674-(234978+201437)=-614089
 
Conversant 4.4 in
-(524-516)-(597+61)=-666
 
Conversant 4.5 in
(915413-756168)-(498000-8755)=-330000
 
Divisor 1.5 ip
9268914÷402=23057
 
Intellect 0.2 in
-105-2×220=-545
 
Intellect 1.2 in
655-4×403=-957
 
Intellect 2.2 in
-457+90÷30-347=-801
 
Intellect 3.2 in
407-48÷(-14-2)=410
 
Logics 0.2 in
91÷(-7)=-13
 
Logics 1.2 in
-10×20=-200
 
Logics 2.2 in
-75÷(-15)×10=50
 
Logics 3.2 in
(-770÷2)÷5=-77
 
Logics 4.2 in
5×(-2)×(5×7)=-350
 
Divisor_ENG 1.5 ip
2453463÷267=9189
Decimal Examples
 
 
Partitive 0.4 dp
439.279-17-32.279=390
 
Partitive 1.4 dp
588.902-74.629=514.273
 
Partitive 2.4 dp
521.6-504.451+762.851=780
 
Partitive 3.4 dp
225.89-(73-37.89)=190.78
 
Split 0.3 dn
56.67-(-58.06+34.73)=80
 
Split 0.4 dn
-261.085+(-244.625+975.71)=470
 
Split 1.3 dn
2.59+68=70.59
 
Split 1.4 dn
504.613+266.737=771.35
 
Split 2.3 dn
59.44+16.07-80=-4.49
 
Split 2.4 dn
-275.078-87.635-530.181=-892.894
 
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
 
Split 3.4 dn
-363.02-(-32.623-543.28)=212.883
 
 
Divisional 1.3 dp
0.952÷0.448=2.125
 
Denary 0.2 dp
86.64÷30.4=2.85
 
Denary 0.3 dp
5.5×0.046=0.253
 
Denary 1.3 dp
8.625×1.664=14.352
 
Denary 2.3 dp
2.64÷1.32=2
 
Denary 3.3 dp
18×0.8=14.4
 
Denary 4.2 dp
43.2÷24÷0.5=3.6
 
Denary 4.3 dp
27.36÷43.776×52=32.5
 
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
 
Denary 5.3 dp
0.009×(2.56×3.125)=0.072
 
Definition 0.2 dp
88.81-2.2÷27.5-66.4=22.33
 
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
2.32×37.5-2.56×18.75=39
 
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
 
Definition 3.2 dp
96.55-(15.73-14.45)×16.25=75.75
 
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
 
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
 
Negatory 1.2 dn
-10.5×2-21.74=-42.74
 
Negatory 1.3 dn
-49.775-8.448×5.5=-96.239
 
Negatory 2.2 dn
30.94÷6.8-2.7÷1.08=2.05
 
Negatory 2.3 dn
7.501+32×0.024×1.25=8.461
 
Negatory 3.1 dn
-33.9+(2.4+10.6)÷2.5=-28.7
 
Negatory 3.2 dn
-2.61×(22.32+1.68)÷4=-15.66
 
 
Fraction Examples
 
 
Numerator 0.3 fp
6/13+(1268/13-735/62)=5341/62
 
Numerator 1.3 fp
6998/159-5329/318=2889/106
 
Numerator 2.3 fp
129/5-29/5+306/181=3926/181
 
Numerator 3.3 fp
1596/403+(33114/403-624/31)=66/1
 
Denominator 0.2 fn
77/48-1/3-437/48=-47/6
 
Denominator 1.2 fn
-2/43-1/43=-3/43
 
Denominator 1.3 fn
-2551/498+134/3=19693/498
 
Denominator 2.2 fn
5/62+49/62+159/31=6/1
 
Denominator 3.2 fn
-98/25-(2/5-63/10)=99/50
 
Fragment 0.1 fp
8/3×(1/2×3/2)=2/1
 
Fragment 0.2 fp
(3/2÷1/9)×11/3=99/2
 
Fragment 1.3 fp
7/10×25/4=35/8
 
Fragment 2.2 fp
11/4×1/11×1038/25=519/50
 
Fragment 2.3 fp
860/87÷344/27×4454/45=2227/29
 
Fragment 3.1 fp
5/2×(3/5×2/3)=1/1
 
Fragment 3.2 fp
69/40×(2/3÷5/4)=23/25
 
Reduction 1.3 fp
90/132=15/22
 
Limited 0.1 fp
(38/5-71/10)÷3/5=5/6
 
Limited 1.2 fp
122/13-1/2÷13/62=7/1
 
Limited 2.1 fp
1/2×(39/4-7/4)=4/1
 
Complete 0.1 fn
2/3÷1/6-3/2=5/2
 
Complete 1.1 fn
-7/6+3/4×86/9=6/1
 
Complete 1.2 fn
-7/8×1308/49+473/21=-5/6
 
Complete 2.1 fn
-14/3×(-4/5-6/5)=28/3
Comparisons
 
 
Ceil 0.4 in
-886848÷(-2) > -481000÷13
 
Ceil 1.4 in
-775923 > -933776
 
Ceil 2.4 in
120018+819982 > -357084+925279
 
Ceil 3.4 in
-517764÷(-3) = 862940÷5
 
Point 0.3 dp
91.924÷6.566 > 0.622×22.5
 
Point 0.4 dp
640.109-206.11 < 168.451+489.456
 
Point 2.4 dp
208.45+227.647 > 237.832-55.198
 
Point 3.3 dp
0.8×88 > 76.292÷19.073
 
Point 3.4 dp
3.8×23.46 < 161.394÷1.11
 
Doted 0.3 dn
43.316÷(-1.547) > -5.1×16.8
 
Doted 1.3 dn
-46.331 < 52
 
Doted 1.4 dn
-931.524 < 220
 
Doted 2.3 dn
18.616+32.521 < 2.826+53.079
 
Doted 2.4 dn
-426.077+261.642 < -41.617+503.363
 
Doted 3.3 dn
-84.702÷(-1.486) > 1.25×1.944
 
Improper 0.3 fp
71/2+1417/116 < 3/4+643/10
 
Improper 3.3 fp
97/4÷582/851 > 2/5÷14/25
 
Descent 0.1 fn
4/5+1/5 > -1/4-3/4
 
Descent 0.2 fn
-5/1 < -7/8
 
Descent 1.3 fn
-11384/127 < 623/9
 
Descent 2.2 fn
-82/13+76/13 < -10/9+56/9
 
Descent 3.1 fn
-9/10×(-4/9) > 9/10×2/9
 
Descent 3.2 fn
5/1×(-73/50) < 4/11÷(-16/33)
Equations
 
 
 
Lineal 3.3 in
29×x+848=-892
 
Lineal 4.3 in
99×(-x+7)=396
 
Rounding
 
 
Rounding 0.3 dp
89.911-10.411≈79.5
 
Rounding 3.3 dp
16×5≈80
Language Exercises
 
 
Russian Vocabulary 1.5
напер вес
 
 
 
 
Lexicon 1.4
campai n [crusade]
 
Infinitive 2.2
            underwritten [underwrite]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
1690×60-9981=91419
 
Intellect 1.3 in
110÷55-5911=-5909
 
Intellect 2.3 in
6522+612÷18-1891=4665
 
Intellect 3.3 in
(800-1096)×(12+75)=-25752
 
Logics 0.3 in
(1296÷36)÷6=6
 
Logics 1.3 in
-2500÷10=-250
 
Logics 2.3 in
62×(-4)×(-40)=9920
 
Logics 3.3 in
2394÷(-3×(-2))=399
 
Logics 4.3 in
-81×(-3×(-28))÷14=-486
Decimal Examples
 
 
Residual 1.3 dp
24÷60=0.4
 
Denary 0.4 dp
(9.6×0.005)÷12=0.004
 
Denary 1.4 dp
0.5×1.44=0.72
 
Denary 2.4 dp
1.52÷0.76=2
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
28.56÷10÷6.8=0.42
 
Denary 5.4 dp
(937.476÷156.246)×8.316=49.896
 
Definition 0.3 dp
3.078÷1.35+5×7.168=38.12
 
Definition 0.4 dp
310×0.104+48.75×12.672=650
 
Definition 1.4 dp
38×14.4-122.13=425.07
 
Definition 2.4 dp
216-137.088÷7.168+669.723=866.598
 
Definition 3.3 dp
(0.521+0.007)÷(1.8+2.6)=0.12
 
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
 
Negatory 0.3 dn
-0.78×54+58.046=15.926
 
Negatory 0.4 dn
1.1×2.28+27.048÷235.2=2.623
 
Negatory 1.4 dn
-413.436-907.2×0.245=-635.7
 
Negatory 2.4 dn
699.334-547.2÷4.56×1.829=479.854
 
Negatory 3.3 dn
(12.544-13.888)×(-14.361-32.514)=63
 
Negatory 3.4 dn
241.665+(741.002-738.752)×16=277.665
 
Fraction Examples
 
 
Denominator 0.3 fn
329/927+208/927=179/309
 
Denominator 2.3 fn
6/5-9349/277+149/5=-762/277
 
Denominator 3.3 fn
-6159/232-(-1/2-783/8)=2083/29
 
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
 
Fragment 3.3 fp
97/18×(576/13÷64/13)=97/2
 
Limited 0.2 fp
(1/3+119/3)÷17/9=360/17
 
Limited 1.3 fp
12/299+2/9÷13/18=8/23
 
Limited 2.2 fp
(275/7+145/7)×31/60=31/1
 
Complete 0.2 fn
41/44-85/9÷748/63=3/22
 
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
 
Complete 2.2 fn
41/10×(1/2+1/6)=41/15
Comparisons
 
 
Doted 0.4 dn
599.73÷30 > 578.772÷46
 
Doted 3.4 dn
-179.667÷(-9) < -18.75×(-1.408)
 
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
 
Descent 2.3 fn
31/1+2347/77 < 31/1+7456/121
 
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
 
 
 
 
 
Quadratic 3.1 in
-2x2-8x-8=0
 
 
 
 
 
Set 0.1 in
-2x+6y=40
 
 
Set 2.1 in
-9y×x=900
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
Russian Vocabulary 2.5
циф рблат
 
 
 
 
Lexicon 1.5
desp rately [badly]
 
Lexicon 2.4
expen ive [dear]
 
Infinitive 1.3
shake shook       [shake]
 
Infinitive 3.2
become             [become]

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