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
883585-43585=840000
 
Beginner 4.5 ip
957089-7288-549801=400000
 
Beginner 5.5 ip
517108+(102556+80200)=699864
 
 
Conversant 1.5 in
-402102-388930=-791032
 
 
 
Cognizant 4.3 ip
8×200÷10=160
 
Cognizant 5.3 ip
(450÷5)÷2=45
 
Cognizant 6.3 ip
60÷(30÷10)÷2=10
 
 
Multiplier 1.4 ip
22227×233=5178891
 
Divisor 1.3 ip
4080÷12=340
 
Numeracy 0.2 ip
451×2-76÷19=898
 
Numeracy 0.3 ip
9600+3200÷200×25=10000
 
Numeracy 1.3 ip
6000+80×175=20000
 
Numeracy 2.3 ip
3528+81×32×16=45000
 
Numeracy 3.2 ip
84+(576-76)÷4=209
 
Numeracy 3.3 ip
(360+780)÷(7964-7850)=10
 
Divisor_ENG 1.3 ip
5200÷16=325
 
Decimal Examples
 
 
Partitive 0.1 dp
9-(9.4-7.5)=7.1
 
Partitive 0.2 dp
51.9+(12+34.5)=98.4
 
 
Partitive 1.2 dp
0.9+71.2=72.1
 
Partitive 2.1 dp
4.8+7-2.8=9
 
Partitive 2.2 dp
83.7-19.8-36.9=27
 
Partitive 3.1 dp
7.1-(7.5-2.7)=2.3
 
Partitive 3.2 dp
12.2+(39+3.6)=54.8
 
Divisional 1.1 dp
1.1÷0.2=5.5
 
Denary 1.1 dp
0.8×42.5=34
 
Denary 2.1 dp
7.6÷1.9=4
 
Denary 3.1 dp
15.6÷0.8=19.5
 
Fraction Examples
 
 
Numerator 1.1 fp
2/5+1/5=3/5
Comparisons
 
 
Natural 0.4 ip
293913÷51 > 128×26
 
Natural 3.4 ip
499904÷214 > 3×64
 
Ceil 0.1 in
-2-0 > -2-3
 
 
Ceil 2.1 in
-9+2 < -2+3
 
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 1.2 fp
81/23 > 38/69
 
Improper 2.1 fp
1/2-3/10 < 1/2-1/4
Equations
 
 
 
Linear 0.3 ip
x+753=903
 
Linear 3.3 ip
96-x÷2=43
 
Linear 4.2 ip
76÷(18+x)=2
 
Linear 4.3 ip
312÷(x-660)=52
 
 
Lineal 2.1 in
-x×(-9)=-9
Rounding
 
 
 
Rounding 2.1 dp
9.3+71.7≈81
 
Round 0.1 ip
691≈69
 
Round 0.2 ip
6411≈64
 
Round 0.3 ip
535855≈536
 
Round 1.3 ip
240012≈240
 
Round 2.2 ip
30+73≈1
 
Round 2.3 ip
480880-1191≈480
 
Round 3.1 ip
832÷2≈42
 
Round 3.2 ip
9646÷2≈48
 
Round 3.3 ip
71678×13≈932
Language Exercises
 
 
Russian Vocabulary 1.4
сан торий
 
Russian Vocabulary 3.3
исч зать
 
 
 
 
Lexicon 1.3
s ream [course]
 
Infinitive 2.1
miscast             [miscast]
12+
Recommended for children from the age of twelve
Integer Examples
 
 
 
 
 
 
 
 
Conversant 2.3 in
-36+10-42=-68
 
Conversant 3.1 in
-3-(9-2)=-10
 
Conversant 3.2 in
3+(-15+9)=-3
 
Conversant 3.3 in
-34+(90-37)=19
 
Conversant 4.1 in
-(0+0)+(4-3)=1
 
Conversant 4.2 in
-(14-20)-(19-10)=-3
 
Conversant 4.3 in
-(68-40)+(40+60)=72
 
Cognizant 0.4 ip
8×125000÷2000=500
 
Cognizant 1.4 ip
982×594=583308
 
Cognizant 2.4 ip
293524÷4=73381
 
Cognizant 3.4 ip
125×40=5000
 
Cognizant 4.4 ip
74256÷272×717=195741
 
Cognizant 5.4 ip
720÷(4×2)=90
 
Cognizant 6.4 ip
36300÷(10×11)÷11=30
 
Multiplier 1.5 ip
65000×1499=97435000
 
Divisor 1.4 ip
11473÷11=1043
 
Intellect 0.1 in
-20-96÷6÷8=-22
 
Intellect 1.1 in
16×3-90=-42
 
Intellect 2.1 in
57÷3+2×10=39
 
Intellect 3.1 in
-16-(8+2)÷2=-21
 
Logics 0.1 in
-36÷(-12÷(-6))=-18
 
 
Logics 2.1 in
12÷4×(-2)=-6
 
Logics 3.1 in
(60÷4)×(-2)=-30
 
Logics 4.1 in
-5×(6÷3)×9=-90
 
Divisor_ENG 1.4 ip
82521÷53=1557
Decimal Examples
 
 
Partitive 0.3 dp
94.08-(75.71-69.07)=87.44
 
Partitive 1.3 dp
72+22.88=94.88
 
Partitive 2.3 dp
32+27.54-23.4=36.14
 
Partitive 3.3 dp
12.67+(24.75+25.76)=63.18
 
Split 0.1 dn
4.7+(-1-1.1)=2.6
 
Split 0.2 dn
-14.3+(55.7-63.9)=-22.5
 
Split 1.1 dn
-1.2-5.1=-6.3
 
Split 1.2 dn
51+45=96
 
Split 2.1 dn
-4+2.1-2.4=-4.3
 
Split 2.2 dn
8.9+52.4-52.3=9
 
Split 3.1 dn
0.8-(5.7+5)=-9.9
 
Split 3.2 dn
-5-(8.1+52.6)=-65.7
 
 
Divisional 1.2 dp
20.4÷0.8=25.5
 
Denary 0.1 dp
0.5×5.2÷2=1.3
 
Denary 1.2 dp
1.25×2.52=3.15
 
Denary 2.2 dp
1.4÷4=0.35
 
Denary 3.2 dp
1.92×1.25=2.4
 
Denary 4.1 dp
1.5÷5×94=28.2
 
Denary 5.1 dp
(10.3÷20.6)×13.6=6.8
 
Definition 0.1 dp
95-20.4÷5.1+1.4=92.4
 
Definition 1.1 dp
14.3-10÷0.8=1.8
 
Definition 2.1 dp
32+8÷3.2-4.5=30
 
Definition 3.1 dp
38.4÷(1.9+7.7)×4.8=19.2
 
Negatory 1.1 dn
15÷1.5+50=60
 
Negatory 2.1 dn
-46+14.4÷2-59.4=-98.2
 
 
Divisional_ENG 1.2 dp
45.24÷3.77=12
Fraction Examples
 
 
Numerator 0.1 fp
1/4-1/4+1/7=1/7
 
Numerator 0.2 fp
1/2+(86/17-396/85)=9/10
 
Numerator 1.2 fp
157/18-83/14=176/63
 
Numerator 2.1 fp
3/10-1/10+3/10=1/2
 
Numerator 2.2 fp
1/5+39/5-52/7=4/7
 
Numerator 3.1 fp
3/4-(1/4+1/4)=1/4
 
Numerator 3.2 fp
149/24-(73/11-7/11)=5/24
 
Denominator 0.1 fn
-1/5+1/3-4/5=-2/3
 
Denominator 1.1 fn
-4/5+7/10=-1/10
 
Denominator 2.1 fn
-9/10+3/10+1/10=-1/2
 
Denominator 3.1 fn
1/3+(1/6+1/2)=1/1
 
Fragment 1.1 fp
2/5×5/8=1/4
 
Fragment 1.2 fp
3/2×569/30=569/20
 
Fragment 2.1 fp
1/2÷3/4÷5/3=2/5
 
 
Reduction 1.2 fp
550/572=25/26
 
Limited 1.1 fp
2/3×7/6+32/9=13/3
Comparisons
 
 
 
Ceil 0.3 in
38×(-9) < 680÷4
 
Ceil 1.2 in
-24 < 48
 
Ceil 1.3 in
-365 < 448
 
Ceil 2.2 in
63+36 > -50-32
 
Ceil 2.3 in
24+386 < 138+529
 
Ceil 3.2 in
90÷3 < 76÷2
 
Ceil 3.3 in
-36×(-4) = 720÷5
 
Point 0.1 dp
4+68.6 < 84.9-12.1
 
Point 0.2 dp
34.13+15.87 < 19.71+53.11
 
Point 1.2 dp
1.3 > 1.28
 
Point 1.3 dp
50.702 < 50.709
 
Point 1.4 dp
879.642 < 950.264
 
Point 2.2 dp
1.2+85.77 > 93.05-6.1
 
Point 2.3 dp
69.162-67.374 < 1.309+34.691
 
Point 3.1 dp
3×0.9 < 0.5×15
 
Point 3.2 dp
11×0.6 < 25.6×3.5
 
Doted 0.1 dn
7.4-47.6 < 91-26.4
 
Doted 0.2 dn
9.5 < 89.95
 
Doted 1.1 dn
37.3 > 20
 
Doted 1.2 dn
82.65 > -97.27
 
Doted 2.1 dn
-1.2+100 > 54.4-37.4
 
Doted 2.2 dn
-11.99+82.32 = 84.39-14.06
 
Doted 3.1 dn
6×(-2.8) < -1.2×12.5
 
Doted 3.2 dn
-83.8÷(-8.38) > 67.5÷(-6.75)
 
 
Improper 0.2 fp
15/19×44/5 < 418/85×34/19
 
Improper 1.3 fp
190/261 < 256/297
 
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
 
Improper 2.3 fp
65/213+14/213 < 773/8-373/8
 
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
1/6 > 1/10
 
Descent 1.2 fn
16/53 < 1/1
 
Descent 2.1 fn
-1/2-1/2 < 1/2+1/2
Equations
 
 
Lineal 0.1 in
-x÷(-2)=-1
 
Lineal 0.2 in
-4×(x+76)=56
 
 
 
Lineal 2.2 in
-x×10=-100
 
Lineal 2.3 in
-980÷x=-28
 
 
Lineal 3.2 in
x÷33-2=-4
 
Lineal 4.1 in
(-x+6)×3=-3
 
Lineal 4.2 in
36÷(-x-82)=6
Rounding
 
 
Rounding 0.1 dp
75.8-1.3≈75
 
Rounding 0.2 dp
61.68×1.4≈86.4
 
Rounding 1.2 dp
90.51≈90.5
 
Rounding 1.3 dp
59.997≈60
 
Rounding 2.2 dp
15.82+23.09≈38.9
 
Rounding 2.3 dp
3.977+18.018≈22
 
Rounding 3.1 dp
25×1.4≈35
 
Rounding 3.2 dp
100÷2≈50
Language Exercises
 
 
 
 
Lexicon 2.3
fa rly [quite]
 
Infinitive 1.2
bleed       bled [bleed]
 
Infinitive 3.1
outleap             [outleap]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
 
 
Conversant 0.4 in
171-275=-104
 
Conversant 0.5 in
-(160578+78422)-(583483+149205)=-971688
 
Conversant 1.4 in
151-465=-314
 
Conversant 2.4 in
497+571-180=888
 
Conversant 2.5 in
-453879-161703+35582=-580000
 
Conversant 3.4 in
-511-(510-659)=-362
 
Conversant 3.5 in
-114464-(-343305+181000)=47841
 
Conversant 4.4 in
(107+320)+(226-113)=540
 
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
 
Divisor 1.5 ip
6938712÷396=17522
 
Intellect 0.2 in
52÷2-236=-210
 
Intellect 1.2 in
-720÷360+520=518
 
Intellect 2.2 in
430-960÷80+189=607
 
Intellect 3.2 in
600-27÷(10+17)=599
 
Logics 0.2 in
-37×(-21÷(-3))÷37=-7
 
Logics 1.2 in
24÷(-3)=-8
 
Logics 2.2 in
-75÷(-15)×10=50
 
Logics 3.2 in
(-39÷(-13))×(-40)=-120
 
Logics 4.2 in
-560÷(-4÷(-2))÷(-20)=14
 
Divisor_ENG 1.5 ip
6509772÷633=10284
Decimal Examples
 
 
Partitive 0.4 dp
439.279-17-32.279=390
 
Partitive 1.4 dp
427.596-254.6=172.996
 
Partitive 2.4 dp
521.6-504.451+762.851=780
 
Partitive 3.4 dp
178.106+(430.818-190.928)=417.996
 
Split 0.3 dn
27-88=-61
 
Split 0.4 dn
196.204-270.187=-73.983
 
Split 1.3 dn
-98.05+2.26=-95.79
 
Split 1.4 dn
344.568-375.72=-31.152
 
Split 2.3 dn
-25.75-4-7.92=-37.67
 
Split 2.4 dn
15.832-205.642+55.221=-134.589
 
Split 3.3 dn
-70-(-97.33-62.67)=90
 
Split 3.4 dn
389.203+(-574.956+293)=107.247
 
 
Divisional 1.3 dp
0.009÷0.09=0.1
 
Denary 0.2 dp
0.96÷(0.8×0.05)=24
 
Denary 0.3 dp
18×0.12=2.16
 
Denary 1.3 dp
2.4×1.33=3.192
 
Denary 2.3 dp
0.644÷64.4=0.01
 
Denary 3.3 dp
3.432÷1.716=2
 
Denary 4.2 dp
5.5×1.8×0.8=7.92
 
Denary 4.3 dp
31.36×0.1÷2.56=1.225
 
Denary 5.2 dp
0.24×(2.5×3.2)=1.92
 
Denary 5.3 dp
23.166÷(42.9×1.08)=0.5
 
Definition 0.2 dp
20-8×0.8÷1.6=16
 
Definition 1.2 dp
29.2-2.72÷13.6=29
 
Definition 1.3 dp
1.445÷10.625+61.473=61.609
 
Definition 2.2 dp
31+21.6÷1.35-27.49=19.51
 
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
63.2-43.2÷1.2=27.2
 
Negatory 0.2 dn
25.37+1.8÷1.25-95.81=-69
 
Negatory 1.2 dn
95.29-2.24×28=32.57
 
Negatory 1.3 dn
-4.1×16+93.42=27.82
 
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
 
Negatory 2.3 dn
-38.472-40.96×0.425×0.375=-45
 
Negatory 3.1 dn
1.2×(24-38.5)÷1.2=-14.5
 
Negatory 3.2 dn
4.62-(79.8-94.8)×0.32=9.42
 
 
Fraction Examples
 
 
Numerator 0.3 fp
12/19+1793/19-11456/245=11819/245
 
Numerator 1.3 fp
53/13+77/13=10/1
 
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
 
Numerator 3.3 fp
1/2+(353/10+26149/620)=9669/124
 
Denominator 0.2 fn
-15/4+27/8+5/8=1/4
 
Denominator 1.2 fn
8/13-112/13=-8/1
 
Denominator 1.3 fn
2440/27-15488/729=50392/729
 
Denominator 2.2 fn
-21/5+1/13+90/13=14/5
 
Denominator 3.2 fn
4/5+(23/50+437/50)=10/1
 
Fragment 0.1 fp
3/2×2/3=1/1
 
Fragment 0.2 fp
63/22×(3/4×440/27)=35/1
 
Fragment 1.3 fp
49/96×2586/49=431/16
 
Fragment 2.2 fp
7/2÷11/6×155/21=155/11
 
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
 
Fragment 3.1 fp
(4/3×3/8)÷3/10=5/3
 
Fragment 3.2 fp
220/7×(25/36×63/50)=55/2
 
Reduction 1.3 fp
2460/2697=820/899
 
Limited 0.1 fp
35/4×2/5-17/8=11/8
 
Limited 1.2 fp
89/2-1/2×3/16=1421/32
 
Limited 2.1 fp
(11/5-7/5)×25/4=5/1
 
Complete 0.1 fn
-1/9+14/3×15/7=89/9
 
Complete 1.1 fn
-7/6+3/4×86/9=6/1
 
Complete 1.2 fn
-1/2×132/13-116/13=-14/1
 
Complete 2.1 fn
-13/3÷(-2/5-1/10)=26/3
Comparisons
 
 
Ceil 0.4 in
-2×(-18) < 9000×6
 
Ceil 1.4 in
-33554 < 178325
 
Ceil 2.4 in
-202637+662637 < 105202+359469
 
Ceil 3.4 in
-19×4 < -800000÷(-10)
 
Point 0.3 dp
70.062-9.497 > 27.029+9.946
 
Point 0.4 dp
504.6÷10.092 > 529.414÷11.509
 
Point 2.4 dp
1000-957.41 < 351.661-21.661
 
Point 3.3 dp
90.566÷6.469 > 1.92×1.4
 
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
 
Doted 0.3 dn
-8.801+91.035 > 81.571-58.819
 
Doted 1.3 dn
-34 < 44.387
 
Doted 1.4 dn
-277.04 < -225.364
 
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
 
Doted 2.4 dn
100-666.371 < 86+480.361
 
Doted 3.3 dn
44.67÷(-1.489) < 58.62÷1.954
 
Improper 0.3 fp
1/5×26895/659 < 199/7×182/597
 
Improper 3.3 fp
848/31×17/530 > 85/4÷425/14
 
Descent 0.1 fn
3/5×(-1/2) < 1/2×3/5
 
Descent 0.2 fn
-1/3÷1/26 < 1/2÷(-3/2)
 
Descent 1.3 fn
-13777/249 < -61/415
 
Descent 2.2 fn
-7/86-9/86 < 1/5+2/15
 
Descent 3.1 fn
-1/2÷(-3/4) > -5/6×(-3/5)
 
Descent 3.2 fn
1/2×(-9/2) < 16/17×(-17/8)
Equations
 
 
Lineal 0.3 in
-5-x×30=-815
 
Lineal 3.3 in
29×x+848=-892
 
Lineal 4.3 in
-768÷(x+873)=-256
 
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
напер вес
 
Russian Vocabulary 3.4
мульт пликация
 
 
 
Lexicon 1.4
associ tion [union]
 
Infinitive 2.2
typecast             [typecast]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
 
 
Intellect 0.3 in
-1687-30×91=-4417
 
Intellect 1.3 in
-2772÷18-5199=-5353
 
Intellect 2.3 in
-1800-81×20-1980=-5400
 
Intellect 3.3 in
1694+(2103-977)×50=57994
 
Logics 0.3 in
(60÷(-15))×(-41)=164
 
Logics 1.3 in
-264÷(-66)=4
 
Logics 2.3 in
4×(-500)÷(-5)=400
 
Logics 3.3 in
(-3720÷5)÷(-31)=24
 
Logics 4.3 in
-83×(29×(-86))÷58=3569
Decimal Examples
 
 
Residual 1.3 dp
24÷60=0.4
 
Denary 0.4 dp
47.52×0.2=9.504
 
Denary 1.4 dp
8.1×27.2=220.32
 
Denary 2.4 dp
0.506÷5.06=0.1
 
Denary 3.4 dp
1.012÷1.265=0.8
 
Denary 4.4 dp
46.8÷75×16=9.984
 
Denary 5.4 dp
75.2×(125×0.05)=470
 
Definition 0.3 dp
72.842-1.28×15.625=52.842
 
Definition 0.4 dp
239.904÷940.8+195.996=196.251
 
Definition 1.4 dp
262.198-1.25×80=162.198
 
Definition 2.4 dp
100.74+1.035×790÷1.15=811.74
 
Definition 3.3 dp
(0.5+0.75)×(84.706-44.706)=50
 
Definition 3.4 dp
5.424×(873.711-864.711)÷8.136=6
 
Negatory 0.3 dn
8×0.11-16×0.825=-12.32
 
Negatory 0.4 dn
918.065+(4.445+1.555)×4.48=944.945
 
Negatory 1.4 dn
-310.458-160÷78.125=-312.506
 
Negatory 2.4 dn
538.683+200×0.288×6.25=898.683
 
Negatory 3.3 dn
22.011-(21-11.1)÷6.6=20.511
 
Negatory 3.4 dn
-2×(-154.456-6.544)×0.002=0.644
 
Fraction Examples
 
 
Denominator 0.3 fn
-29553/974+(8/13+928/13)=40575/974
 
Denominator 2.3 fn
8/19-2512/57+520/19=-928/57
 
Denominator 3.3 fn
-4755/71-(8996/355-10741/355)=-4406/71
 
Fragment 0.3 fp
35/3÷(2/3×1/2)=35/1
 
Fragment 3.3 fp
38/5×(289/7÷578/7)=19/5
 
Limited 0.2 fp
2/3×309/8-701/28=5/7
 
Limited 1.3 fp
1/6÷7/12+46288/623=6638/89
 
Limited 2.2 fp
1302/71×(721/15-479/10)=217/71
 
Complete 0.2 fn
(-2/7-89/7)÷13/45=-45/1
 
Complete 1.3 fn
-11/19×57/143-7/26=-1/2
 
Complete 2.2 fn
-5/2×(73/5-71/5)=-1/1
Comparisons
 
 
Doted 0.4 dn
-427.05÷(-26) > 3.825×(-12.8)
 
Doted 3.4 dn
35×12.288 > 26.496×16
 
Descent 0.3 fn
3681/353 > -268/5
 
Descent 2.3 fn
271/462+51/154 > -60/121-48007/726
 
Descent 3.3 fn
28/225÷(-56/423) < 79/1÷7900/131
Equations
 
 
 
 
 
Quadratic 3.1 in
-x2+6x+16=0
 
System 0.1 ip
10y-7x=20
 
 
System 2.1 ip
18x÷3y=27
 
System 3.1 ip
7x+10y=107
 
Set 0.1 in
9y-8x=-146
 
 
Set 2.1 in
-6y÷9x=1
 
Set 3.1 in
-8y-10x=180
Language Exercises
 
 
Russian Vocabulary 2.5
п лицмейстер
 
 
 
 
Lexicon 1.5
ent usiasm [delight]
 
Lexicon 2.4
unempl yed [unoccupied]
 
Infinitive 1.3
shake shook       [shake]
 
Infinitive 3.2
feel             [feel]

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