MathExamle.com

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
783110+162887-150397=795600
 
Beginner 4.5 ip
114479+71580+313941=500000
 
Beginner 5.5 ip
77568+(248800+351933)=678301
 
 
Conversant 1.5 in
-522467-204929=-727396
 
 
Cognizant 0.3 ip
160÷16÷2=5
 
Cognizant 4.3 ip
9856÷8÷2=616
 
Cognizant 5.3 ip
(5×50)÷2=125
 
Cognizant 6.3 ip
3520÷(2×2)÷40=22
 
Remainder 1.3 ip
1000÷29=34(14)
 
Multiplier 1.4 ip
24280×200=4856000
 
Divisor 1.3 ip
2410÷10=241
 
Numeracy 0.2 ip
510÷15+223=257
 
Numeracy 0.3 ip
1100×63-312÷78=69296
 
Numeracy 1.3 ip
132÷11+8000=8012
 
Numeracy 2.3 ip
584×95-1280÷128=55470
 
Numeracy 3.2 ip
864-(132+24)÷2=786
 
Numeracy 3.3 ip
(2566-64)×(3907-3885)=55044
 
 
Decimal Examples
 
 
Partitive 0.1 dp
2.5+8-3=7.5
 
Partitive 0.2 dp
86.2-25.4=60.8
 
 
Partitive 1.2 dp
72.4-24.6=47.8
 
Partitive 2.1 dp
4.8+7-2.8=9
 
Partitive 2.2 dp
38-33.9+54=58.1
 
Partitive 3.1 dp
2+(6.6-0.2)=8.4
 
Partitive 3.2 dp
57-(33.5+3.5)=20
 
 
Denary 1.1 dp
3.5×2.2=7.7
 
Denary 2.1 dp
68.4÷3.8=18
 
Denary 3.1 dp
2×8.9=17.8
 
Fraction Examples
 
 
Numerator 1.1 fp
8/9-1/3=5/9
Comparisons
 
 
Natural 0.4 ip
772000÷193 < 519483÷129
 
Natural 3.4 ip
308370÷190 < 110124×8
 
Ceil 0.1 in
5+5 > 8-10
 
 
Ceil 2.1 in
9-4 > -6+10
 
Ceil 3.1 in
-2×(-2) > 9÷3
 
Point 1.1 dp
43.8 > 43.6
 
Point 2.1 dp
18.6+45 > 14.9+42.9
 
Improper 1.1 fp
9/10 > 3/4
 
Improper 1.2 fp
454/61 < 25/3
 
Improper 2.1 fp
1/4+1/4 > 5/9-2/9
Equations
 
 
Linear 0.2 ip
18+48÷x=20
 
 
Linear 3.3 ip
459÷x+539=590
 
Linear 4.2 ip
(19+x)×4=76
 
Linear 4.3 ip
(x-67)×39=897
 
 
Rounding
 
 
 
Rounding 2.1 dp
48.8+1.1≈50
 
Round 0.1 ip
9×101≈91
 
Round 0.2 ip
304+2279≈26
 
Round 0.3 ip
727×1288≈936
 
Round 1.3 ip
608331≈608
 
Round 2.2 ip
1780+667≈24
 
Round 2.3 ip
388504+12707≈401
 
Round 3.1 ip
29×29≈84
 
Round 3.2 ip
4494÷2≈22
 
Round 3.3 ip
3238×200≈648
Language Exercises
 
 
Russian Vocabulary 1.4
иллюм нация
 
Russian Vocabulary 3.3
гум низм
 
 
 
 
Lexicon 1.3
s ream [course]
 
Infinitive 2.1
misteach             [misteach]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
Conversant 0.2 in
-13+(20-10)=-3
 
 
 
 
 
Conversant 2.3 in
-100+56+14=-30
 
Conversant 3.1 in
-5-(-5+1)=-1
 
Conversant 3.2 in
-10-(17-11)=-16
 
Conversant 3.3 in
51-(-17-18)=86
 
Conversant 4.1 in
(10+5)+(1-9)=7
 
Conversant 4.2 in
(12+6)-(19-20)=19
 
Conversant 4.3 in
(30+84)+(64-97)=81
 
Cognizant 0.4 ip
3080÷(70×2)=22
 
Cognizant 1.4 ip
738×345=254610
 
Cognizant 2.4 ip
320970÷390=823
 
Cognizant 3.4 ip
716082÷138=5189
 
Cognizant 4.4 ip
222000÷5÷6=7400
 
Cognizant 5.4 ip
216÷(18×2)=6
 
Cognizant 6.4 ip
66÷2×(740×22)=537240
 
Multiplier 1.5 ip
3830×1100=4213000
 
Divisor 1.4 ip
49987÷37=1351
 
Intellect 0.1 in
-70+2×17=-36
 
 
Intellect 2.1 in
-30+10×3×3=60
 
Intellect 3.1 in
50+(-28-30)×2=-66
 
Logics 0.1 in
-4×3×(14÷2)=-84
 
Logics 1.1 in
8×(-8)=-64
 
Logics 2.1 in
10×(-3)×(-3)=90
 
Logics 3.1 in
(-80÷(-2))÷(-4)=-10
 
Logics 4.1 in
-64÷(-4×2)÷(-4)=-2
 
Divisor_ENG 1.4 ip
83300÷28=2975
Decimal Examples
 
 
Partitive 0.3 dp
49.36-38.41-8.02=2.93
 
Partitive 1.3 dp
12.29+80.11=92.4
 
Partitive 2.3 dp
49.24+21.71-63.09=7.86
 
Partitive 3.3 dp
96.35-(20+10)=66.35
 
Split 0.1 dn
4.7+(-1-1.1)=2.6
 
Split 0.2 dn
42+40.5=82.5
 
Split 1.1 dn
-6+5.5=-0.5
 
Split 1.2 dn
-1.3-54.2=-55.5
 
Split 2.1 dn
-4+6.8-4.8=-2
 
Split 2.2 dn
-30.6-32+9.6=-53
 
Split 3.1 dn
1.1+(-6.2+2.9)=-2.2
 
Split 3.2 dn
-58.1+(-80.4+49.4)=-89.1
 
 
Divisional 1.2 dp
0.18÷2=0.09
 
Denary 0.1 dp
0.9×10=9
 
Denary 1.2 dp
2.25×2.4=5.4
 
Denary 2.2 dp
1.54÷0.56=2.75
 
Denary 3.2 dp
8×0.27=2.16
 
Denary 4.1 dp
9.8×0.5÷0.1=49
 
Denary 5.1 dp
10÷(0.5×0.8)=25
 
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
 
Definition 1.1 dp
3.8×11-25.4=16.4
 
Definition 2.1 dp
51-0.5×5-40.5=8
 
Definition 3.1 dp
8×(9.9+2)÷17=5.6
 
Negatory 1.1 dn
6×1.8+1.4=12.2
 
Negatory 2.1 dn
-34÷8.5+0.6×30=14
 
 
Fraction Examples
 
 
Numerator 0.1 fp
8/9-1/9-1/3=4/9
 
Numerator 0.2 fp
7/2+(135/34-59/17)=4/1
 
Numerator 1.2 fp
2/3+307/75=119/25
 
Numerator 2.1 fp
1/2+1/2-3/8=5/8
 
Numerator 2.2 fp
7/16+1/16+29/10=17/5
 
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
 
Numerator 3.2 fp
7/2-(2/5+13/5)=1/2
 
 
Denominator 1.1 fn
-1/2-1/2=-1/1
 
Denominator 2.1 fn
-1/10-1/10-1/5=-2/5
 
Denominator 3.1 fn
-2/5-(1/10+3/10)=-4/5
 
Fragment 1.1 fp
8/5×1/4=2/5
 
Fragment 1.2 fp
112/9÷14/45=40/1
 
Fragment 2.1 fp
4/5÷2/5×5/2=5/1
 
 
Reduction 1.2 fp
828/24=69/2
 
Limited 1.1 fp
13/2-1/3÷2/9=5/1
Comparisons
 
 
Ceil 0.2 in
1+0 > 2-63
 
Ceil 0.3 in
-833+766 < 5+55
 
Ceil 1.2 in
65 > -16
 
Ceil 1.3 in
450 > -610
 
Ceil 2.2 in
11+18 < 70-0
 
Ceil 2.3 in
860-7 > 134-553
 
Ceil 3.2 in
-88÷(-2) > 2×20
 
Ceil 3.3 in
832÷2 > 660÷6
 
Point 0.1 dp
59.7 < 76.5
 
Point 0.2 dp
82.87 < 98.31
 
Point 1.2 dp
23 > 21.12
 
Point 1.3 dp
67.563 < 67.566
 
Point 1.4 dp
316.199 < 316.219
 
Point 2.2 dp
9.2+50.64 > 0.89+11.16
 
Point 2.3 dp
87.041-0.599 > 0.046+0.028
 
Point 3.1 dp
12.5×2.4 > 57.2÷6.5
 
Point 3.2 dp
3.6÷2 < 1.44×60
 
Doted 0.1 dn
15.2+3.5 > -18-10.2
 
Doted 0.2 dn
-4.5×(-4) < -61.2÷(-2.04)
 
Doted 1.1 dn
-89.7 < 35
 
Doted 1.2 dn
-41.12 < 48.26
 
Doted 2.1 dn
5.3+11.4 < 76.5-2.9
 
Doted 2.2 dn
-33.13-16.15 < -17.65-31.62
 
Doted 3.1 dn
77.5÷(-15.5) = 33÷(-6.6)
 
Doted 3.2 dn
29.7÷(-1.35) > -11.2×2.5
 
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
 
Improper 0.2 fp
12/83 < 27/11
 
Improper 1.3 fp
1541/416 > 5/13
 
Improper 2.2 fp
2/29+19/87 < 3/4+187/36
 
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
 
Improper 3.1 fp
2/3×1/2 < 2/9÷1/3
 
Improper 3.2 fp
13/3÷49/12 < 1/2÷1/19
 
Descent 1.1 fn
1/6 > 1/10
 
Descent 1.2 fn
-692/85 < -31/50
 
Descent 2.1 fn
-1/2-1/2 < -2/5-1/10
Equations
 
 
Lineal 0.1 in
-x×2-10=6
 
 
Lineal 1.2 in
-x+12=-52
 
 
 
Lineal 2.3 in
600÷x=-40
 
Lineal 3.1 in
-1+x÷5=1
 
Lineal 3.2 in
-60-2×x=100
 
Lineal 4.1 in
-(x+6)×2=-6
 
Lineal 4.2 in
-6×(-72+x)=72
Rounding
 
 
Rounding 0.1 dp
17.3÷26≈1
 
Rounding 0.2 dp
65.17≈65.2
 
Rounding 1.2 dp
81.38≈81.4
 
Rounding 1.3 dp
24.999≈25
 
Rounding 2.2 dp
56.95-34.17≈22.8
 
Rounding 2.3 dp
73.476-43.479≈30
 
Rounding 3.1 dp
83÷9.1≈9
 
Rounding 3.2 dp
26.91÷58≈0.5
Language Exercises
 
 
Russian Vocabulary 2.4
просв щённый
 
 
Lexicon 2.3
fa rly [quite]
 
Infinitive 1.2
rebuild rebuilt       [rebuild]
 
Infinitive 3.1
unspin             [unspin]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
-(74+223)+(670+7)=380
 
Conversant 0.5 in
-270000-29000-1000=-300000
 
Conversant 1.4 in
-602+442=-160
 
Conversant 2.4 in
742+557-390=909
 
Conversant 2.5 in
-118119+880000-889743=-127862
 
Conversant 3.4 in
760-(-61+971)=-150
 
Conversant 3.5 in
-114464-(-343305+181000)=47841
 
Conversant 4.4 in
(50+199)-(544-575)=280
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
20000÷100=200
 
Intellect 0.2 in
-423-21÷3×81=-990
 
Intellect 1.2 in
760÷40-470=-451
 
Intellect 2.2 in
700+10×4×2=780
 
Intellect 3.2 in
-176-(903-957)÷9=-170
 
Logics 0.2 in
48÷(4×(-3))=-4
 
Logics 1.2 in
-17×37=-629
 
Logics 2.2 in
14×2×(-10)=-280
 
Logics 3.2 in
(-1000÷(-2))÷2=250
 
Logics 4.2 in
-600÷(-3)÷(550÷110)=40
 
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
 
 
 
 
Partitive 2.4 dp
521.6-504.451+762.851=780
 
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
 
Split 0.3 dn
56.67-(-58.06+34.73)=80
 
Split 0.4 dn
-71-489.921=-560.921
 
Split 1.3 dn
67.28+22.69=89.97
 
Split 1.4 dn
-560+242.697=-317.303
 
Split 2.3 dn
-95.7+85.46+45.64=35.4
 
Split 2.4 dn
401.855+140.627-592.507=-50.025
 
Split 3.3 dn
62.85+(-56.6+55.19)=61.44
 
Split 3.4 dn
-316.588-(-323.052+646.464)=-640
 
 
Divisional 1.3 dp
0.009÷0.09=0.1
 
Denary 0.2 dp
9.6×0.5×12.5=60
 
Denary 0.3 dp
31.68÷5.5=5.76
 
Denary 1.3 dp
25.6×0.625=16
 
Denary 2.3 dp
3÷1.875=1.6
 
Denary 3.3 dp
4.05×0.2=0.81
 
Denary 4.2 dp
61.2÷34÷3=0.6
 
Denary 4.3 dp
1.344÷0.525÷6.4=0.4
 
Denary 5.2 dp
(12.8÷8)÷0.64=2.5
 
Denary 5.3 dp
0.945÷(0.756÷18)=22.5
 
Definition 0.2 dp
6.88×5+1.04×15=50
 
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
34.12+72.6×0.75÷2.25=58.32
 
Definition 2.3 dp
2.321-1.35÷25+7.042=9.309
 
Definition 3.2 dp
3×(3.72+3.55)÷3=7.27
 
Negatory 0.1 dn
-47.7+(34-43)÷1.2=-55.2
 
Negatory 0.2 dn
41.24-(7.99+34.25)×0.75=9.56
 
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
 
Negatory 1.3 dn
0.64×60.75-60.444=-21.564
 
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
 
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
 
Negatory 3.1 dn
1.6÷(-0.5-1.1)÷2=-0.5
 
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
 
 
Fraction Examples
 
 
Numerator 0.3 fp
227/3-2/3-118/3=107/3
 
Numerator 1.3 fp
127/9+89/9=24/1
 
Numerator 2.3 fp
45/8+35/8+612/41=1022/41
 
Numerator 3.3 fp
206/9+(397/9-8212/809)=45991/809
 
Denominator 0.2 fn
8/23+77/92-39/46=31/92
 
Denominator 1.2 fn
-52/63+5/7=-1/9
 
Denominator 1.3 fn
-134/19-22200/247=-23942/247
 
Denominator 2.2 fn
-3/2-3/2-47/9=-74/9
 
Denominator 3.2 fn
-121/40-(-28/5+23/40)=2/1
 
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
 
Fragment 0.2 fp
2/5×15/16=3/8
 
Fragment 1.3 fp
17/7÷17/28=4/1
 
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
(3/2÷1/6)÷27/10=10/3
 
Fragment 3.2 fp
119/24×(4/9×108/7)=34/1
 
Reduction 1.3 fp
2112/3504=44/73
 
Limited 0.1 fp
(13/2-11/6)×5/7=10/3
 
Limited 1.2 fp
89/2-1/2×3/16=1421/32
 
Limited 2.1 fp
(86/9-53/9)÷2/5=55/6
 
Complete 0.1 fn
(1/4+11/4)÷3/10=10/1
 
Complete 1.1 fn
39/7+16/5÷7/4=37/5
 
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
 
Complete 2.1 fn
-(27/5-17/5)×5/2=-5/1
Comparisons
 
 
Ceil 0.4 in
-2×(-18) < 9000×6
 
Ceil 1.4 in
-104464 > -559399
 
Ceil 2.4 in
-33000-626579 < 590364-135769
 
Ceil 3.4 in
260×(-30) > 44684÷(-4)
 
Point 0.3 dp
2.718 < 2.731
 
Point 0.4 dp
388.994 < 795.415
 
Point 2.4 dp
221.193-208.918 < 650-169.011
 
Point 3.3 dp
1.38×8.5 < 33.75×1.6
 
Point 3.4 dp
6.4×5 < 64.026÷2
 
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
 
Doted 1.3 dn
95 > -78
 
Doted 1.4 dn
108.111 < 886.755
 
Doted 2.3 dn
-32.736+12.736 < -43.079+86.079
 
Doted 2.4 dn
-111.085-450.361 < -871.599+548.167
 
Doted 3.3 dn
1.4×(-61.2) < -57.116×1.5
 
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
 
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
 
Descent 0.1 fn
-3/5÷(-7/10) > 2/3×3/4
 
Descent 0.2 fn
-17/31×(-38/17) > -48/11×11/8
 
Descent 1.3 fn
351/838 > -1735/19
 
Descent 2.2 fn
11/3+47/10 > -81/55-221/77
 
Descent 3.1 fn
-1/10÷(-1/8) > -2/5÷(-4/7)
 
Descent 3.2 fn
-1/4÷(-24/35) = 1/4×35/24
Equations
 
 
Lineal 0.3 in
90×(-769+x)=540
 
Lineal 3.3 in
-99×x-990=0
 
Lineal 4.3 in
-(-x-855)×40=-880
 
Rounding
 
 
Rounding 0.3 dp
52.995≈53
 
Rounding 3.3 dp
57.057÷91.112≈0.63
Language Exercises
 
 
 
Russian Vocabulary 3.4
нев данный
 
 
 
Lexicon 1.4
basi  [main]
 
Infinitive 2.2
swell             [swell]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
(900-3121)×(2100-2118)=39978
 
Intellect 1.3 in
7765+96×742=78997
 
Intellect 2.3 in
-1925+48×75+2661=4336
 
Intellect 3.3 in
(1100+8980)÷(6142-5806)=30
 
Logics 0.3 in
(-5×45)÷3=-75
 
Logics 1.3 in
-336÷(-8)=42
 
Logics 2.3 in
62×(-4)×(-40)=9920
 
Logics 3.3 in
-500÷(-25×2)=10
 
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
 
 
Residual 1.3 dp
89÷100=0.89
 
Denary 0.4 dp
5.28÷(0.48×6.25)=1.76
 
Denary 1.4 dp
17.25×0.004=0.069
 
Denary 2.4 dp
7.176÷2.4=2.99
 
Denary 3.4 dp
8×0.001=0.008
 
Denary 4.4 dp
74.8×13×0.055=53.482
 
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
 
Definition 0.3 dp
4.2×(0.5+0.9)÷0.245=24
 
Definition 0.4 dp
239.904÷940.8+195.996=196.251
 
Definition 1.4 dp
526.342-312.5×0.32=426.342
 
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
 
Definition 3.3 dp
90.45+0.036÷(12.44-12.08)=90.55
 
Definition 3.4 dp
8.224-(299.981-299.801)×7.6=6.856
 
Negatory 0.3 dn
-0.676÷3.25-2×0.014=-0.236
 
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
 
Negatory 1.4 dn
0.5×270+585.931=720.931
 
Negatory 2.4 dn
250.061-13.056÷17+245.655=494.948
 
Negatory 3.3 dn
10.065-(-0.772-2.978)×1.728=16.545
 
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
 
Fraction Examples
 
 
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
 
Denominator 2.3 fn
-1/5-7/15-1671/22=-5057/66
 
Denominator 3.3 fn
103/11+(18/11+20999/301)=24310/301
 
Fragment 0.3 fp
1030/33÷515/12÷8/7=7/11
 
Fragment 3.3 fp
(1624/57÷1218/19)÷4/81=9/1
 
Limited 0.2 fp
(59/2-293/10)÷14/5=1/14
 
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
1/2×26/3+103/3=116/3
 
Complete 1.3 fn
-91/9-1/4×284/9=-18/1
 
Complete 2.2 fn
(-208/17-183/17)×1/32=-23/32
Comparisons
 
 
Doted 0.4 dn
693.585 > -920
 
Doted 3.4 dn
44.16×(-14.625) < 19×(-33.991)
 
Descent 0.3 fn
-25723/440 > -1001/17
 
Descent 2.3 fn
-13475/698+45017/698 < -9680/349+25563/349
 
Descent 3.3 fn
-125/234÷325/372 < 8/1×55/624
Equations
 
 
Quadratic 0.1 in
-x2-6x+16=0
 
 
 
Quadratic 3.1 in
-2x2-8x-8=0
 
 
 
System 2.1 ip
90y÷10x=30
 
System 3.1 ip
10y+4x=116
 
Set 0.1 in
3y+6x=-30
 
Set 1.1 in
-y+x=-11
 
Set 2.1 in
-3y×4x=-960
 
Set 3.1 in
8y-8x=160
Language Exercises
 
 
 
 
 
 
Lexicon 1.5
pro essional [vocational]
 
Lexicon 2.4
ab ent [gone]
 
Infinitive 1.3
spread spread       [spread]
 
Infinitive 3.2
become             [become]

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