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.
5+
Recommended for children from five years old
Integer Examples
Step-by-step Tasks
Addition #1
1+2=3
Addition #2
1+4=5
Addition #3
1+2=3
Addition #4
1+3=4
Addition #5
7+1=8
Subtraction #1
3-1=2
Subtraction #2
6-2=4
Subtraction #3
5-3=2
Subtraction #4
6-1=5
Subtraction #5
4-2=2
Subtraction #6
6-3=3
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
2+7=9
Addition #7
3+2=5
Addition #8
8+2=10
Addition #9
4+7=11
Addition #10
4+6=10
Addition #11
5+4=9
Addition #12
5+3=8
Addition #13
2+6=8
Addition #14
3+8=11
Addition #15
4+7=11
Addition #16
5+0=5
Addition #17
3+6=9
Addition #18
6+8=14
Addition #19
5+9=14
Addition #20
6-2=4
Addition #21
10+4=14
Addition #22
7+10=17
Subtraction #7
9-4=5
Subtraction #8
10-5=5
Subtraction #9
11-2=9
Subtraction #11
13-3=10
Subtraction #12
15-4=11
Subtraction #13
13-6=7
Subtraction #14
15-7=8
Subtraction #15
13-3=10
Subtraction #16
17-8=9
Subtraction #17
10-8=2
Subtraction #18
12-9=3
Subtraction #19
20-0=20
Subtraction #21
19-10=9
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
8-1-5=2
Beginner 1.3 ip
20+33=53
Beginner 2.3 ip
95-41=54
Beginner 3.3 ip
53+12=65
Beginner 4.2 ip
1+3+13=17
Beginner 5.1 ip
1+(9-7)=3
Step-by-step Tasks
Addition #23
10+3=13
Addition #24
13+2=15
Addition #25
6+14=20
Addition #26
22+2=24
Addition #27
0+13=13
Addition #28
0+14=14
Addition #29
0+20=20
Addition #30
15-12=3
Addition #31
15+1=16
Addition #32
6+11=17
Addition #33
7+12=19
Subtraction #22
8-6=2
Subtraction #23
14-11=3
Subtraction #24
13-2=11
Subtraction #26
5-3=2
Subtraction #27
11-4=7
Subtraction #28
8-5=3
Subtraction #29
19-16=3
Subtraction #31
12-7=5
Subtraction #32
11-1=10
Multiplication #1
3×1=3
Multiplication #2
9×2=18
Multiplication #3
0×1=0
Division #1
9÷1=9
Comparisons
Language Exercises
Russian Vocabulary 1.1
г рох
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
9-(17-9)=1
Beginner 1.4 ip
233+69=302
Beginner 2.4 ip
810-176=634
Beginner 3.4 ip
31+29=60
Beginner 4.3 ip
1+51-2=50
Beginner 5.2 ip
1+(3+13)=17
Cognizant 1.1 ip
11×9=99
Cognizant 2.1 ip
66÷22=3
Cognizant 3.1 ip
9×10=90
Column 1.1 ip
32+48=80
Column 2.1 ip
92-14=78
Column 3.1 ip
10+76=86
Step-by-step Tasks
Addition #34
12+8=20
Addition #35
32-3=29
Addition #36
22+8=30
Addition #37
2+9=11
Addition #38
30+60=90
Addition #39
10+25=35
Addition #40
19-19+0=0
Subtraction #33
17-8=9
Subtraction #34
21-17=4
Subtraction #36
12-9=3
Subtraction #37
19-7=12
Subtraction #38
37-17=20
Subtraction #39
100-70=30
Multiplication #4
3×0=0
Multiplication #5
1×2=2
Multiplication #6
4×2=8
Multiplication #7
10×4=40
Multiplication #8
8×5=40
Multiplication #9
3×3=9
Multiplication #10
10×5=50
Multiplication #11
6×0=0
Multiplication #12
7×5=35
Multiplication #13
3×7=21
Multiplication #14
1×6=6
Multiplication #15
7×10=70
Multiplication #16
8×6=48
Multiplication #17
8×7=56
Multiplication #18
9×1=9
Multiplication #19
6×3=18
Multiplication #20
10×2=20
Multiplication #21
10×2=20
Division #2
2÷2=1
Division #3
20÷2=10
Division #4
21÷3=7
Division #5
12÷3=4
Division #6
40÷4=10
Division #7
6÷1=6
Division #8
15÷5=3
Division #9
24÷4=6
Division #10
10÷1=10
Division #11
48÷6=8
Division #12
40÷5=8
Division #13
28÷7=4
Division #14
36÷4=9
Division #15
50÷5=10
Division #16
0÷8=0
Division #17
35÷7=5
Division #18
45÷9=5
Division #19
35÷5=7
Division #20
80÷8=10
Division #21
10÷10=1
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
н уклюжий
Russian Vocabulary 2.1
лфавит
Russian Vocabulary 3.1
наш л
Lexicon 1.1
ag in [anew]
Lexicon 2.1
a nt [relative]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
90-90=0
Beginner 4.4 ip
123-115+222=230
Beginner 5.3 ip
98+(88-86)=100
Cognizant 0.1 ip
12×3=36
Cognizant 1.2 ip
2×245=490
Cognizant 2.2 ip
320÷32=10
Cognizant 3.2 ip
38×24=912
Cognizant 4.1 ip
8×5÷4=10
Cognizant 5.1 ip
(21÷7)×3=9
Cognizant 6.1 ip
24÷(4÷2)÷4=3
Remainder 1.1 ip
26÷3=8(2)
Column 1.2 ip
8129+385=8514
Column 2.2 ip
6531-2831=3700
Column 3.2 ip
4900+1028=5928
Multiplier 1.1 ip
30×3=90
Divisor 1.1 ip
92÷4=23
Numeracy 1.1 ip
12÷6-2=0
Numeracy 2.1 ip
42-40÷20+36=76
Divisor_ENG 1.1 ip
60÷6=10
Remainder_ENG 1.1 ip
20÷7=2(6)
Step-by-step Tasks
Multiplication #22
2×21=42
Multiplication #23
2×11=22
Multiplication #24
10×3=30
Multiplication #25
10×2=20
Multiplication #26
4×13=52
Multiplication #27
5×18=90
Multiplication #28
12×3=36
Multiplication #29
2×31=62
Multiplication #30
3×20=60
Multiplication #31
19×6=114
Multiplication #32
7×14=98
Multiplication #33
5×6=30
Multiplication #34
11×8=88
Multiplication #35
3×6=18
Multiplication #36
11×9=99
Multiplication #37
6×14=84
Multiplication #38
6×20=120
Multiplication #39
10×14=140
Multiplication #40
6×12=72
Division #22
34÷2=17
Division #23
0÷11=0
Division #24
51÷3=17
Division #25
48÷3=16
Division #26
0÷4=0
Division #27
40÷5=8
Division #28
16÷2=8
Division #29
32÷2=16
Division #30
100÷50=2
Division #31
114÷6=19
Division #32
84÷7=12
Division #33
66÷6=11
Division #34
72÷8=9
Division #35
40÷5=8
Division #36
108÷9=12
Division #37
60÷6=10
Division #38
480÷10=48
Division #39
7÷1=7
Division #40
32÷4=8
Comparisons
Natural 0.2 ip
3×3 < 72÷3
Natural 1.3 ip
87 < 580
Natural 2.3 ip
800-401 < 190+410
Natural 3.2 ip
12×6 > 54÷3
Equations
Language Exercises
Russian Vocabulary 1.3
впеч тлять
Russian Vocabulary 2.2
в сток
Russian Vocabulary 3.2
м дведь
English Vocabulary 3.1
t day
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-(85+224)=455
Beginner 1.5 ip
56900+28668=85568
Beginner 2.5 ip
950543-250543=700000
Beginner 3.5 ip
597246-57246=540000
Beginner 5.4 ip
431-(247-156)=340
Cognizant 0.2 ip
11×13=143
Cognizant 1.3 ip
4×68=272
Cognizant 2.3 ip
9800÷8=1225
Cognizant 3.3 ip
7197÷3=2399
Cognizant 4.2 ip
8×5÷10=4
Cognizant 5.2 ip
120÷(4×2)=15
Cognizant 6.2 ip
17×(39÷3)÷221=1
Remainder 1.2 ip
136÷7=19(3)
Column 1.3 ip
489918+312082=802000
Column 2.3 ip
820119-816514=3605
Column 3.3 ip
796529+201471=998000
Multiplier 1.2 ip
8264×3=24792
Multiplier 1.3 ip
1900×26=49400
Divisor 1.2 ip
120÷4=30
Numeracy 0.1 ip
(41-37)×(10+5)=60
Numeracy 1.2 ip
968-6×130=188
Numeracy 2.2 ip
336÷24+576÷36=30
Numeracy 3.1 ip
(13-7)×(21-15)=36
Divisor_ENG 1.2 ip
710÷2=355
Remainder_ENG 1.2 ip
189÷14=13(7)
Comparisons
Natural 0.3 ip
968 > 688
Natural 1.4 ip
201882 < 931350
Natural 2.4 ip
895326+79974 > 602031-124272
Natural 3.3 ip
1000÷20 < 813÷3
Equations
Linear 0.1 ip
10-x=3
Linear 1.3 ip
x+136=763
Linear 2.3 ip
41×x=410
Linear 3.2 ip
5×x+40=90
Linear 4.1 ip
(x+1)×3=6
Rounding
Language Exercises
Russian Vocabulary 2.3
с рень
English Vocabulary 1.2
th rty
English Vocabulary 2.2
bec me
Lexicon 1.2
ph ne [call]
Lexicon 2.2
m in [chief]
Infinitive 1.1
relight relit [relight]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
612415-407415=205000
Beginner 4.5 ip
160216+61763-190025=31954
Beginner 5.5 ip
77568+(248800+351933)=678301
Conversant 1.1 in
-10+7=-3
Conversant 1.5 in
-718439+495963=-222476
Conversant 2.1 in
0-4-4=-8
Cognizant 0.3 ip
880÷(11×2)×15=600
Cognizant 4.3 ip
16×125÷20=100
Cognizant 5.3 ip
(50÷10)×500=2500
Cognizant 6.3 ip
960÷16×(90÷6)=900
Remainder 1.3 ip
600÷90=6(60)
Multiplier 1.4 ip
24280×200=4856000
Divisor 1.3 ip
3162÷17=186
Numeracy 0.2 ip
137×2+60÷2=304
Numeracy 0.3 ip
7610-1020÷102=7600
Numeracy 1.3 ip
3659×16+456=59000
Numeracy 2.3 ip
60×38+91×594=56334
Numeracy 3.2 ip
220-912÷(2+74)=208
Numeracy 3.3 ip
(598-570)×(21+22)=1204
Divisor_ENG 1.3 ip
8897÷31=287
Remainder_ENG 1.3 ip
251÷28=8(27)
Decimal Examples
Partitive 0.1 dp
0.5+2+4=6.5
Partitive 0.2 dp
86.2-25.4=60.8
Partitive 1.1 dp
7.9+1.1=9
Partitive 1.2 dp
81-15=66
Partitive 2.1 dp
9.6-1-3.2=5.4
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
84-(7.9+52)=24.1
Divisional 1.1 dp
0.5÷1=0.5
Denary 1.1 dp
3×1.6=4.8
Denary 2.1 dp
96÷1.5=64
Denary 3.1 dp
20.4÷3.4=6
Divisional_ENG 1.1 dp
96.9÷8.5=11.4
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
119800÷100 < 403155÷9
Ceil 0.1 in
10-0 > -1-6
Ceil 1.1 in
-3 < 2
Ceil 2.1 in
1+1 > -1-9
Ceil 3.1 in
2×(-5) < 4×(-2)
Point 1.1 dp
11.6 < 65.2
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
3/5 < 1/1
Improper 1.2 fp
361/37 = 361/37
Improper 2.1 fp
3/5-1/10 < 1/2+1/6
Equations
Linear 0.2 ip
(x-70)×8=80
Linear 0.3 ip
x×90=630
Linear 3.3 ip
x÷8+922=927
Linear 4.2 ip
80÷(45-x)=16
Linear 4.3 ip
(5+x)×148=740
Lineal 1.1 in
-2+x=8
Lineal 2.1 in
-2×x=10
Rounding
Rounding 1.1 dp
68.5≈69
Rounding 2.1 dp
9.3+71.7≈81
Round 0.1 ip
691≈69
Round 0.2 ip
2352+1595≈39
Round 0.3 ip
147857≈148
Round 1.3 ip
244144≈244
Round 2.2 ip
5800-2094≈37
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
29×29≈84
Round 3.2 ip
1117×5≈56
Round 3.3 ip
870504÷152≈6
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
знам нитый
English Vocabulary 1.3
pr per
English Vocabulary 2.3
contin e
English Vocabulary 3.2
cl an
Lexicon 1.3
else here [pronoun]
Infinitive 2.1
outsat [outsit]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
(0+7)-(10-5)=2
Conversant 0.2 in
12+(8-4)=16
Conversant 0.3 in
(41-7)-(19-40)=55
Conversant 1.2 in
9-2=7
Conversant 1.3 in
-70+3=-67
Conversant 2.2 in
2+11-14=-1
Conversant 2.3 in
91-63-88=-60
Conversant 3.1 in
10+(-9+1)=2
Conversant 3.2 in
-10-(17-20)=-7
Conversant 3.3 in
90-(100+10)=-20
Conversant 4.1 in
(10+2)+(6-8)=10
Conversant 4.2 in
-(9-19)-(11+5)=-6
Conversant 4.3 in
-(50-68)-(67+38)=-87
Cognizant 0.4 ip
20÷2×(78÷13)=60
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
320970÷390=823
Cognizant 3.4 ip
849×664=563736
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
(20×25000)÷250=2000
Cognizant 6.4 ip
200÷(2×5)×10=200
Multiplier 1.5 ip
37500×2240=84000000
Divisor 1.4 ip
49987÷37=1351
Intellect 0.1 in
-45÷5-51=-60
Intellect 1.1 in
-91÷13+11=4
Intellect 2.1 in
-20-7×8+23=-53
Intellect 3.1 in
-51+20÷(-2-2)=-56
Logics 0.1 in
-50÷5=-10
Logics 1.1 in
8×(-8)=-64
Logics 2.1 in
10×(-7)÷2=-35
Logics 3.1 in
4×(-6×4)=-96
Logics 4.1 in
80÷2÷(-2×2)=-10
Divisor_ENG 1.4 ip
27246÷19=1434
Decimal Examples
Partitive 0.3 dp
38.43-34.77=3.66
Partitive 1.3 dp
16.63+65.61=82.24
Partitive 2.3 dp
75-48-27=0
Partitive 3.3 dp
84.01-(77.52-25.51)=32
Split 0.1 dn
-2+7.7=5.7
Split 0.2 dn
-65.5-19.4=-84.9
Split 1.1 dn
0.6-7.5=-6.9
Split 1.2 dn
-79.5+64=-15.5
Split 2.1 dn
-2.6+1.9-7.3=-8
Split 2.2 dn
-32+15.8+27.2=11
Split 3.1 dn
-8.4-(-8.7+1)=-0.7
Split 3.2 dn
18.8-(68.8-91.3)=41.3
Residual 1.1 dp
48÷6=8
Divisional 1.2 dp
6.4÷32=0.2
Denary 0.1 dp
1.2÷2=0.6
Denary 1.2 dp
27×0.2=5.4
Denary 2.2 dp
16.8÷2.4=7
Denary 3.2 dp
6.84÷7.2=0.95
Denary 4.1 dp
82.8÷23÷4.5=0.8
Denary 5.1 dp
0.6×(0.5×5)=1.5
Definition 0.1 dp
63.7-2.4÷1.2×24.7=14.3
Definition 1.1 dp
48.6+96÷2.5=87
Definition 2.1 dp
51.7+4×0.2×2.5=53.7
Definition 3.1 dp
(42.9+9.9)÷(80.5-32.5)=1.1
Negatory 1.1 dn
-50.6+33.6÷3=-39.4
Negatory 2.1 dn
22+32÷2.5×5=86
Residual_ENG 1.1 dp
57÷3=19
Divisional_ENG 1.2 dp
0.46÷0.02=23
Fraction Examples
Numerator 0.1 fp
1/2+(1/6+1/9)=7/9
Numerator 0.2 fp
6/23+2/23+436/69=20/3
Numerator 1.2 fp
7/6+23/78=19/13
Numerator 2.1 fp
3/8+1/8+2/5=9/10
Numerator 2.2 fp
154/85+121/85+77/34=11/2
Numerator 3.1 fp
2/9+(1/9+1/9)=4/9
Numerator 3.2 fp
107/24-(9/14+139/56)=4/3
Denominator 0.1 fn
1/4-1/5-4/5=-3/4
Denominator 1.1 fn
-1/8-3/4=-7/8
Denominator 2.1 fn
1/4+1/4+1/8=5/8
Denominator 3.1 fn
4/9-(2/9-4/9)=2/3
Fragment 1.1 fp
5/2÷25/9=9/10
Fragment 1.2 fp
7/11×121/7=11/1
Fragment 2.1 fp
1/5×5/2÷5/8=4/5
Reduction 1.1 fp
4/16=1/4
Reduction 1.2 fp
24/72=1/3
Limited 1.1 fp
8/9÷4/3+2/3=4/3
Comparisons
Ceil 0.2 in
-38×2 < 16÷(-2)
Ceil 0.3 in
-6 < 55
Ceil 1.2 in
-9 < 10
Ceil 1.3 in
678 > -681
Ceil 2.2 in
7-40 < -63+70
Ceil 2.3 in
-726+210 < 848-597
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
6.25×0.64 = 32.28÷8.07
Point 1.2 dp
34.01 < 35.79
Point 1.3 dp
45.147 > 39.876
Point 1.4 dp
900.349 < 900.361
Point 2.2 dp
70.62-25.85 = 26.99+17.78
Point 2.3 dp
6.675+59.134 > 89-23.199
Point 3.1 dp
0.8×80 > 75.6÷5.4
Point 3.2 dp
0.96×6.5 > 81.99÷27.33
Doted 0.1 dn
-27.9÷0.9 < -2.5×2
Doted 0.2 dn
63.74 > -72.77
Doted 1.1 dn
-89.7 < 35
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
40.8+50 > -74.7-16
Doted 2.2 dn
92.16-19.59 > -27.67+18.04
Doted 3.1 dn
-44×1.4 < -1.4×17
Doted 3.2 dn
15×(-1.26) > 68.2÷(-1.24)
Improper 0.1 fp
2/3÷5/6 > 1/6÷5/9
Improper 0.2 fp
2/3+1/2 > 26/11-127/77
Improper 1.3 fp
25052/267 > 1679/18
Improper 2.2 fp
1/2+1/20 < 1/3+1/3
Improper 2.3 fp
2941/97+3001/97 > 903/970+57627/970
Improper 3.1 fp
1/2×2/3 < 5/8×4/5
Improper 3.2 fp
1/2÷7/12 < 48/7÷96/47
Descent 1.1 fn
-1/3 > -2/5
Descent 1.2 fn
-5/1 < 1/2
Descent 2.1 fn
-1/5+2/5 < -5/9+8/9
Equations
Lineal 0.1 in
x+4=-6
Lineal 0.2 in
44÷(-x)=2
Lineal 1.2 in
-x+12=-52
Lineal 1.3 in
x+720=0
Lineal 2.2 in
72÷x=-12
Lineal 2.3 in
33×x=-990
Lineal 3.1 in
1+5÷x=0
Lineal 3.2 in
x÷33-2=-4
Lineal 4.1 in
-10÷(1-x)=2
Lineal 4.2 in
44÷(x-62)=-11
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
51.99≈52
Rounding 1.2 dp
99.06≈99.1
Rounding 1.3 dp
17.001≈17
Rounding 2.2 dp
44.82-29.27≈15.6
Rounding 2.3 dp
60.031-59.245≈0.79
Rounding 3.1 dp
21.7÷37.3≈1
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
Russian Vocabulary 2.4
к нкурент
English Vocabulary 3.3
w rking
Lexicon 2.3
f shing [piscatorial]
Infinitive 1.2
unbind unbound [unbind]
Infinitive 3.1
lay [lay]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-74-280+927=573
Conversant 0.5 in
-487080+435100+45605=-6375
Conversant 1.4 in
-602+442=-160
Conversant 2.4 in
747-520-474=-247
Conversant 2.5 in
232056+913665-686147=459574
Conversant 3.4 in
287-(582+82)=-377
Conversant 3.5 in
-82240+(96655-819676)=-805261
Conversant 4.4 in
(2+962)+(310-484)=790
Conversant 4.5 in
(600000+792983)-(96952+770651)=525380
Divisor 1.5 ip
60000÷600=100
Intellect 0.2 in
361+10×21=571
Intellect 1.2 in
-720÷360+520=518
Intellect 2.2 in
-88÷22+480÷16=26
Intellect 3.2 in
837+(-751-209)÷60=821
Logics 0.2 in
-780÷(-2×3)=130
Logics 1.2 in
92÷(-2)=-46
Logics 2.2 in
5×(-10)÷2=-25
Logics 3.2 in
(-20×2)÷(-4)=10
Logics 4.2 in
240÷(-400÷(-10))×(-30)=-180
Divisor_ENG 1.5 ip
256119÷177=1447
Decimal Examples
Partitive 0.4 dp
478.968-97.735-181.233=200
Partitive 1.4 dp
427.596-254.6=172.996
Partitive 2.4 dp
156.042+339+414.958=910
Partitive 3.4 dp
370.145-(486.9-421.938)=305.183
Split 0.3 dn
12+46=58
Split 0.4 dn
-261.085+(-244.625+975.71)=470
Split 1.3 dn
2.59+68=70.59
Split 1.4 dn
-450-152.449=-602.449
Split 2.3 dn
-73.8-66+93.62=-46.18
Split 2.4 dn
114-131.583-424.417=-442
Split 3.3 dn
-1.78-(12.26+28.06)=-42.1
Split 3.4 dn
46-(163.428+26.744)=-144.172
Residual 1.2 dp
30÷25=1.2
Divisional 1.3 dp
7.616÷0.112=68
Denary 0.2 dp
1.14÷4.56=0.25
Denary 0.3 dp
4.86÷5.625=0.864
Denary 1.3 dp
1.28×3.125=4
Denary 2.3 dp
10.368÷0.648=16
Denary 3.3 dp
5.76÷1.152=5
Denary 4.2 dp
2.48×1.25×20=62
Denary 4.3 dp
35.64÷88÷1.35=0.3
Denary 5.2 dp
(1.2×0.3)÷0.02=18
Denary 5.3 dp
95.04÷(0.384×15.625)=15.84
Definition 0.2 dp
2.16×45-15.01=82.19
Definition 1.2 dp
7.8×11.4-38.92=50
Definition 1.3 dp
39.788-4.68÷2.08=37.538
Definition 2.2 dp
0.77×15+56.25×0.16=20.55
Definition 2.3 dp
34.864+3.375×1.6-21.098=19.166
Definition 3.2 dp
(0.83+1.17)×(41.3-34.81)=12.98
Negatory 0.1 dn
-28.9+89.1÷(2.2+5.9)=-17.9
Negatory 0.2 dn
3.6×20.25-1.5×4=66.9
Negatory 1.2 dn
-33.26-52.92÷18.9=-36.06
Negatory 1.3 dn
77-43.2÷3=62.6
Negatory 2.2 dn
-0.98÷2.45-15.68÷98=-0.56
Negatory 2.3 dn
8.779+9.828÷27+77.51=86.653
Negatory 3.1 dn
0.5×(-0.5-0.3)×50=-20
Negatory 3.2 dn
-98.86+(99.73-94.53)×0.8=-94.7
Residual_ENG 1.2 dp
54÷50=1.08
Divisional_ENG 1.3 dp
0.028÷0.032=0.875
Fraction Examples
Numerator 0.3 fp
377/20+353/180=1873/90
Numerator 1.3 fp
1/42+15943/371=13673/318
Numerator 2.3 fp
5584/143-3361/143+6869/616=1495/56
Numerator 3.3 fp
707/13+(528/13-5/16)=1515/16
Denominator 0.2 fn
1/6-13/6=-2/1
Denominator 1.2 fn
-5/42-19/42=-4/7
Denominator 1.3 fn
-2551/498+134/3=19693/498
Denominator 2.2 fn
40/37-79/13-51/13=-330/37
Denominator 3.2 fn
74/9+(-51/11-133/33)=-4/9
Fragment 0.1 fp
3/4÷9/4=1/3
Fragment 0.2 fp
44/3÷22/13÷13/2=4/3
Fragment 1.3 fp
350/39÷224/13=25/48
Fragment 2.2 fp
21/34×32/21×317/8=634/17
Fragment 2.3 fp
12/13×39/2÷180/7=7/10
Fragment 3.1 fp
(3/2÷1/6)÷27/10=10/3
Fragment 3.2 fp
(8/9×27/8)÷99/23=23/33
Reduction 1.3 fp
17252/247=908/13
Limited 0.1 fp
(7/2+7/2)×4/7=4/1
Limited 1.2 fp
55/12+12/17÷36/85=25/4
Limited 2.1 fp
2/5×(2/5+38/5)=16/5
Complete 0.1 fn
-4/3+10/3÷5/9=14/3
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
501900 > -501900
Ceil 1.4 in
90321 < 467382
Ceil 2.4 in
928979-89750 > 126176+625896
Ceil 3.4 in
260×(-30) > 44684÷(-4)
Point 0.3 dp
46.453-6.383 > 48.731-8.667
Point 0.4 dp
915.258-396.744 = 736.449-217.935
Point 2.4 dp
1000-957.41 < 351.661-21.661
Point 3.3 dp
2.5×3.456 < 2×8.4
Point 3.4 dp
16×8.4 > 94.73÷2.5
Doted 0.3 dn
90.929 > -81.469
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
0.666+6.49 < 22.547-4.547
Doted 2.4 dn
78.618+44.684 < -3.756+583.756
Doted 3.3 dn
-44×(-1.1) > -2.5×34.56
Improper 0.3 fp
1394/635 < 2666/85
Improper 3.3 fp
298/3÷1192/123 > 3/10×5/2
Descent 0.1 fn
-1/2×8/9 < 1/2÷9/10
Descent 0.2 fn
67/72 > -3/5
Descent 1.3 fn
213/254 < 9715/381
Descent 2.2 fn
2/1+8/15 < 8/5+223/95
Descent 3.1 fn
-1/3÷5/9 < 1/2×(-3/5)
Descent 3.2 fn
-27/5×(-5/54) < -1/2÷(-1/2)
Equations
Lineal 0.3 in
x×44+770=110
Lineal 3.3 in
-480+780÷x=-450
Lineal 4.3 in
-(-x-855)×40=-880
System 1.1 ip
x+y=8
Rounding
Language Exercises
Russian Vocabulary 1.5
бук нист
Russian Vocabulary 3.4
на зусть
English Vocabulary 1.4
ori inally
English Vocabulary 2.4
c iling
Lexicon 1.4
caref l [anxious]
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
110÷55-5911=-5909
Intellect 2.3 in
7189-432÷24×3996=-64739
Intellect 3.3 in
2077-8464÷(-250-118)=2100
Logics 0.3 in
(-5×45)÷3=-75
Logics 1.3 in
79×20=1580
Logics 2.3 in
62×(-4)×(-40)=9920
Logics 3.3 in
(-5×(-50))÷(-2)=-125
Logics 4.3 in
16÷(-4)×(-40×(-15))=-2400
Decimal Examples
Residual 1.3 dp
9÷30=0.3
Denary 0.4 dp
(9.6×0.005)÷12=0.004
Denary 1.4 dp
6.72×1.25=8.4
Denary 2.4 dp
7.176÷2.4=2.99
Denary 3.4 dp
8×0.001=0.008
Denary 4.4 dp
38.8×24.25÷0.97=970
Denary 5.4 dp
137.214÷(107.1÷85)=108.9
Definition 0.3 dp
37.849-14.168÷5.5+54.931=90.204
Definition 0.4 dp
77.76÷0.6-111.589=18.011
Definition 1.4 dp
472.262-2.926÷4.18=471.562
Definition 2.4 dp
0.8×1.125+45×0.004=1.08
Definition 3.3 dp
90.45+0.036÷(12.44-12.08)=90.55
Definition 3.4 dp
30×(4.894+5.312)×1.6=489.888
Negatory 0.3 dn
-35+(68.311-56.075)÷4=-31.941
Negatory 0.4 dn
-550.135+500÷15.625=-518.135
Negatory 1.4 dn
-126÷0.672-313.5=-501
Negatory 2.4 dn
9.375×0.096-20÷12.5=-0.7
Negatory 3.3 dn
(-9.304-1.1)÷(-20-31)=0.204
Negatory 3.4 dn
(-154.113-1.839)÷(6.698+27.502)=-4.56
Residual_ENG 1.3 dp
51÷20=2.55
Fraction Examples
Denominator 0.3 fn
-173/9-448/9=-69/1
Denominator 2.3 fn
-108/7-22094/285+1782/19=88/105
Denominator 3.3 fn
-1/4-(1/12+1/15)=-2/5
Fragment 0.3 fp
1/2×9/2÷1/16=36/1
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
(88/3-1/3)×14/29=14/1
Complete 0.2 fn
175/87×(-79/10-19/2)=-35/1
Complete 1.3 fn
-1196/21+14/33÷98/85=-4357/77
Complete 2.2 fn
-125/32÷(1/11+4/77)=-875/32
Comparisons
Doted 0.4 dn
-608.316+220 > -290-98.323
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
160/349+6/349 > 50/1-645/13
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
25383/620÷8461/184 < -6071/110÷(-467/11)
Equations
Quadratic 0.1 in
8x2=800
Quadratic 1.1 in
5x2=0
Quadratic 2.1 in
6x2-30x=0
Quadratic 3.1 in
2x2-2x-4=0
System 0.1 ip
10y-7x=20
System 1.2 ip
y+x=76
System 2.1 ip
10x×y=200
System 3.1 ip
7y+7x=84
Set 0.1 in
y×15x=-300
Set 1.1 in
y-x=1
Set 2.1 in
216x÷9y=-15
Set 3.1 in
10x-2y=-120
Language Exercises
Russian Vocabulary 2.5
и нутри
English Vocabulary 1.5
fo ndation
English Vocabulary 2.5
pro essional
English Vocabulary 3.4
appre iate
Lexicon 1.5
ent usiasm [delight]
Lexicon 2.4
unempl yed [unoccupied]
Infinitive 1.3
underspend underspent [underspend]
Infinitive 3.2
sit [sit]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
-15232÷(-16)=952
Logics 1.4 in
-9776÷13=-752
Logics 2.4 in
380÷20×970=18430
Logics 3.4 in
-15×(-160×(-25))=-60000
Logics 4.4 in
-693120÷(2888÷(-38))÷16=570
Fraction Examples
Limited 0.3 fp
(50/3+203/24)×40/67=15/1
Limited 2.3 fp
5309/82×(14/19-23/57)=5309/246
Complete 0.3 fn
(1/2-9/2)×79/854=-158/427
Complete 2.3 fn
-17460/289÷(494/5-1694/17)=2425/34
Equations
Quadratic 0.2 in
90x2=0
Quadratic 1.2 in
70x2=85750
Quadratic 2.2 in
-61x2-1220x=0
Quadratic 3.2 in
-x2+29x+342=0
System 0.2 ip
50y-x=3914
System 1.3 ip
x-y=39
System 2.2 ip
12y×x=72000
System 3.2 ip
30x+30y=2490
Set 0.2 in
68640x÷77y=624
Set 1.2 in
-x-y=6
Set 2.2 in
-2160x÷72y=-60
Set 3.2 in
47x+20y=-1230
Language Exercises
Russian Vocabulary 3.5
надв е
English Vocabulary 3.5
contin ous
Lexicon 2.5
transpo tation [conveyance]
Infinitive 2.3
sight-read [sight-read]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
180x2=648000
Quadratic 1.3 in
29x2=3158100
Quadratic 2.3 in
240x2-26160x=0
Quadratic 3.3 in
-x2+121x+1452=0
System 0.3 ip
89y+72x=87280
System 2.3 ip
38x×2y=2708640
System 3.3 ip
105x-600y=900
Set 0.3 in
18480y÷88x=525
Set 1.3 in
-x+y=592
Set 2.3 in
-6x×3y=92160
Set 3.3 in
400y+130x=144200
Language Exercises
Infinitive 3.3
refit [refit]
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