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
3+2=5
Addition #2
4+1=5
Addition #3
1+4=5
Addition #4
1+0=1
Addition #5
9+1=10
Subtraction #1
3-1=2
Subtraction #2
2-1=1
Subtraction #3
3-2=1
Subtraction #4
9-1=8
Subtraction #5
7-2=5
Subtraction #6
6-3=3
6+
Recommended for children from six years
Integer Examples
Step-by-step Tasks
Addition #6
8+2=10
Addition #7
9+3=12
Addition #8
5+3=8
Addition #9
4+4=8
Addition #10
3-3=0
Addition #11
9+5=14
Addition #12
5+3=8
Addition #13
6+1=7
Addition #14
3+5=8
Addition #15
4+7=11
Addition #16
8+7=15
Addition #17
4+2=6
Addition #18
5+8=13
Addition #19
9+8=17
Addition #20
2-1=1
Addition #21
10+4=14
Addition #22
7+10=17
Subtraction #7
5-4=1
Subtraction #8
10-5=5
Subtraction #9
9-2=7
Subtraction #11
13-3=10
Subtraction #12
14-4=10
Subtraction #13
15-6=9
Subtraction #14
12-7=5
Subtraction #15
1-1=0
Subtraction #16
14-8=6
Subtraction #17
11-8=3
Subtraction #18
12-9=3
Subtraction #19
15-10=5
Subtraction #21
10-10=0
7+
Recommended for children from seven years
Integer Examples
Beginner 0.1 ip
3+(6+1)=10
Beginner 1.3 ip
69+22=91
Beginner 2.3 ip
46-36=10
Beginner 3.3 ip
100-57=43
Beginner 4.2 ip
18-1-5=12
Beginner 5.1 ip
1+(9-7)=3
Step-by-step Tasks
Addition #23
10+10=20
Addition #24
13+2=15
Addition #25
6+14=20
Addition #26
22+2=24
Addition #27
3+10=13
Addition #28
4+7=11
Addition #29
5+5=10
Addition #30
15-12=3
Addition #31
15+11=26
Addition #32
6+12=18
Addition #33
5+27=32
Subtraction #22
8-6=2
Subtraction #23
19-11=8
Subtraction #24
3-2=1
Subtraction #26
10-3=7
Subtraction #27
14-4=10
Subtraction #28
6-5=1
Subtraction #29
18-6=12
Subtraction #31
11-7=4
Subtraction #32
20-20=0
Multiplication #1
3×1=3
Multiplication #2
2×4=8
Multiplication #3
1×3=3
Division #1
9÷1=9
Comparisons
Language Exercises
Russian Vocabulary 1.1
од ванчик
8+
Recommended for children from eight years
Integer Examples
Beginner 0.2 ip
16+(2+2)=20
Beginner 1.4 ip
126+347=473
Beginner 2.4 ip
803-143=660
Beginner 3.4 ip
665-589=76
Beginner 4.3 ip
23-10+4=17
Beginner 5.2 ip
20-(7+10)=3
Cognizant 1.1 ip
11×4=44
Cognizant 2.1 ip
60÷12=5
Cognizant 3.1 ip
8×4=32
Column 1.1 ip
72+17=89
Column 2.1 ip
79-31=48
Column 3.1 ip
49+11=60
Step-by-step Tasks
Addition #34
29+1=30
Addition #35
16-10=6
Addition #36
8+2=10
Addition #37
19+12=31
Addition #38
30+60=90
Addition #39
16+24=40
Addition #40
19-19+0=0
Subtraction #33
20-8=12
Subtraction #34
30-20=10
Subtraction #36
12-9=3
Subtraction #37
3-0=3
Subtraction #38
20-0=20
Subtraction #39
50-10=40
Multiplication #4
3×1=3
Multiplication #5
2×1=2
Multiplication #6
4×5=20
Multiplication #7
9×3=27
Multiplication #8
5×8=40
Multiplication #9
5×7=35
Multiplication #10
10×5=50
Multiplication #11
10×6=60
Multiplication #12
9×6=54
Multiplication #13
3×7=21
Multiplication #14
1×6=6
Multiplication #15
5×2=10
Multiplication #16
1×8=8
Multiplication #17
1×5=5
Multiplication #18
9×4=36
Multiplication #19
9×9=81
Multiplication #20
10×5=50
Multiplication #21
10×4=40
Division #2
14÷2=7
Division #3
12÷2=6
Division #4
18÷3=6
Division #5
8÷2=4
Division #6
24÷4=6
Division #7
9÷1=9
Division #8
15÷5=3
Division #9
27÷3=9
Division #10
10÷2=5
Division #11
48÷6=8
Division #12
48÷6=8
Division #13
14÷7=2
Division #14
54÷6=9
Division #15
15÷3=5
Division #16
48÷8=6
Division #17
35÷7=5
Division #18
54÷9=6
Division #19
72÷8=9
Division #20
80÷2=40
Division #21
30÷10=3
Comparisons
Equations
Language Exercises
Russian Vocabulary 1.2
г тара
Russian Vocabulary 2.1
ф враль
Lexicon 1.1
h use [home]
Lexicon 2.1
pl yer [gambler]
9+
Recommended for children from nine years
Integer Examples
Beginner 0.3 ip
27+1=28
Beginner 4.4 ip
897+24-626=295
Beginner 5.3 ip
49+(31+12)=92
Cognizant 0.1 ip
12÷(9÷3)×7=28
Cognizant 1.2 ip
7×4=28
Cognizant 2.2 ip
696÷2=348
Cognizant 3.2 ip
14×38=532
Cognizant 4.1 ip
3×3×7=63
Cognizant 5.1 ip
6×(2×2)=24
Cognizant 6.1 ip
5×4÷(10÷2)=4
Remainder 1.1 ip
11÷5=2(1)
Column 1.2 ip
2422+7578=10000
Column 2.2 ip
3693-2393=1300
Column 3.2 ip
7500+391=7891
Multiplier 1.1 ip
31×7=217
Divisor 1.1 ip
92÷4=23
Numeracy 1.1 ip
47+9÷3=50
Numeracy 2.1 ip
58+45÷3-43=30
Divisor_ENG 1.1 ip
45÷9=5
Remainder_ENG 1.1 ip
41÷6=6(5)
Step-by-step Tasks
Multiplication #22
12×2=24
Multiplication #23
4×11=44
Multiplication #24
3×11=33
Multiplication #25
20×3=60
Multiplication #26
16×4=64
Multiplication #27
15×5=75
Multiplication #28
12×1=12
Multiplication #29
20×5=100
Multiplication #30
5×16=80
Multiplication #31
6×16=96
Multiplication #32
7×17=119
Multiplication #33
1×15=15
Multiplication #34
8×11=88
Multiplication #35
16×5=80
Multiplication #36
11×9=99
Multiplication #37
15×7=105
Multiplication #38
15×10=150
Multiplication #39
30×6=180
Multiplication #40
7×8=56
Division #22
16÷2=8
Division #23
0÷11=0
Division #24
51÷3=17
Division #25
30÷2=15
Division #26
32÷4=8
Division #27
70÷5=14
Division #28
24÷2=12
Division #29
48÷4=12
Division #30
100÷10=10
Division #31
42÷6=7
Division #32
21÷7=3
Division #33
140÷7=20
Division #34
32÷8=4
Division #35
25÷5=5
Division #36
9÷9=1
Division #37
32÷8=4
Division #38
320÷10=32
Division #39
108÷9=12
Division #40
12÷4=3
Comparisons
Natural 0.2 ip
100-0 > 83-16
Natural 1.3 ip
80 < 864
Natural 2.3 ip
744-348 > 809-426
Natural 3.2 ip
100÷10 < 30×3
Equations
Language Exercises
10+
Recommended for children from ten years
Integer Examples
Beginner 0.4 ip
764-(85+224)=455
Beginner 1.5 ip
141211+55934=197145
Beginner 2.5 ip
688969-34501=654468
Beginner 3.5 ip
186902+813098=1000000
Beginner 5.4 ip
649-(425+169)=55
Cognizant 0.2 ip
952÷34=28
Cognizant 1.3 ip
77×52=4004
Cognizant 2.3 ip
1026÷6=171
Cognizant 3.3 ip
52×81=4212
Cognizant 4.2 ip
40×5÷8=25
Cognizant 5.2 ip
40×(2×2)=160
Cognizant 6.2 ip
450÷5×(16÷4)=360
Remainder 1.2 ip
111÷11=10(1)
Column 1.3 ip
157000+281637=438637
Column 2.3 ip
157910-66725=91185
Column 3.3 ip
497867-443120=54747
Multiplier 1.2 ip
6615×2=13230
Multiplier 1.3 ip
1900×26=49400
Divisor 1.2 ip
938÷2=469
Numeracy 0.1 ip
57+30÷(24-22)=72
Numeracy 1.2 ip
370-40÷2=350
Numeracy 2.2 ip
15×12+10×9=270
Numeracy 3.1 ip
(29-26)×(10+6)=48
Divisor_ENG 1.2 ip
637÷7=91
Remainder_ENG 1.2 ip
172÷16=10(12)
Comparisons
Natural 0.3 ip
40×4 < 936÷3
Natural 1.4 ip
920151 > 560411
Natural 2.4 ip
149195+302809 < 638509+30086
Natural 3.3 ip
840÷20 < 14×34
Equations
Linear 0.1 ip
4+x=9
Linear 1.3 ip
793+x=893
Linear 2.3 ip
330÷x=33
Linear 3.2 ip
78÷x-1=1
Linear 4.1 ip
9÷(x+1)=3
Rounding
Language Exercises
Russian Vocabulary 2.3
оз рничать
English Vocabulary 1.2
range
English Vocabulary 2.2
ins de
Lexicon 1.2
th m [pronoun]
Lexicon 2.2
e ch [both]
Infinitive 1.1
rid rid [rid]
11+
Recommended for children from the age of eleven
Integer Examples
Beginner 0.5 ip
957514-57514=900000
Beginner 4.5 ip
61973+838027-83493=816507
Beginner 5.5 ip
479830-(650000-640891)=470721
Conversant 1.1 in
0-8=-8
Conversant 1.5 in
-522467-204929=-727396
Conversant 2.1 in
0-2+3=1
Cognizant 0.3 ip
14×42=588
Cognizant 4.3 ip
9856÷8÷2=616
Cognizant 5.3 ip
1456÷(14÷7)=728
Cognizant 6.3 ip
60÷(30÷10)÷2=10
Remainder 1.3 ip
436÷67=6(34)
Multiplier 1.4 ip
2250×908=2043000
Divisor 1.3 ip
7505÷79=95
Numeracy 0.2 ip
180×3+161=701
Numeracy 0.3 ip
(1791-1341)÷(20+10)=15
Numeracy 1.3 ip
544-2100÷14=394
Numeracy 2.3 ip
584×95-1280÷128=55470
Numeracy 3.2 ip
84+(576-76)÷4=209
Numeracy 3.3 ip
(3334-3064)÷(1300-1270)=9
Divisor_ENG 1.3 ip
3565÷31=115
Remainder_ENG 1.3 ip
300÷78=3(66)
Decimal Examples
Partitive 0.1 dp
3.1+(6.3+0.2)=9.6
Partitive 0.2 dp
72.6+9=81.6
Partitive 1.1 dp
0.1+7=7.1
Partitive 1.2 dp
6+77.9=83.9
Partitive 2.1 dp
3.3+7.4-2.2=8.5
Partitive 2.2 dp
30+100-65=65
Partitive 3.1 dp
4.2-(8.9-6)=1.3
Partitive 3.2 dp
15.9+(5.7+32)=53.6
Divisional 1.1 dp
30.6÷8.5=3.6
Denary 1.1 dp
8.4×4.5=37.8
Denary 2.1 dp
7.6÷1.9=4
Denary 3.1 dp
1.4÷3.5=0.4
Divisional_ENG 1.1 dp
46÷0.8=57.5
Fraction Examples
Numerator 1.1 fp
1/10+2/5=1/2
Comparisons
Natural 0.4 ip
18469+181531 > 15000+34092
Natural 3.4 ip
499904÷214 > 3×64
Ceil 0.1 in
-6÷(-3) > -8÷4
Ceil 1.1 in
3 > -8
Ceil 2.1 in
-4+10 > 2-8
Ceil 3.1 in
5÷(-5) > 2×(-3)
Point 1.1 dp
48.7 > 44.5
Point 2.1 dp
34+26.2 = 8.1+52.1
Improper 1.1 fp
1/8 < 1/4
Improper 1.2 fp
81/23 > 38/69
Improper 2.1 fp
7/10-1/10 > 5/6-1/3
Equations
Linear 0.2 ip
x÷6=8
Linear 0.3 ip
x-222=328
Linear 3.3 ip
x÷463-1=0
Linear 4.2 ip
(19+x)×4=76
Linear 4.3 ip
50×(8+x)=900
Lineal 1.1 in
x+5=3
Lineal 2.1 in
-x×2=2
Rounding
Rounding 1.1 dp
44.3≈44
Rounding 2.1 dp
96.1-70.5≈26
Round 0.1 ip
510-333≈18
Round 0.2 ip
9364÷4≈23
Round 0.3 ip
263×2351≈618
Round 1.3 ip
240012≈240
Round 2.2 ip
1581+2585≈42
Round 2.3 ip
583433-140905≈443
Round 3.1 ip
29×29≈84
Round 3.2 ip
5770÷10≈6
Round 3.3 ip
3238×200≈648
Language Exercises
Russian Vocabulary 1.4
эпигра
Russian Vocabulary 3.3
пр дирчиво
English Vocabulary 2.3
ver ion
Lexicon 1.3
f intly [weakly]
Infinitive 2.1
outsit [outsit]
12+
Recommended for children from the age of twelve
Integer Examples
Conversant 0.1 in
-7+7=0
Conversant 0.2 in
-4-4=-8
Conversant 0.3 in
-60+10=-50
Conversant 1.2 in
8-16=-8
Conversant 1.3 in
-74+42=-32
Conversant 2.2 in
-11+19-19=-11
Conversant 2.3 in
-18+29-37=-26
Conversant 3.1 in
0+(9-10)=-1
Conversant 3.2 in
-11-(-7-14)=10
Conversant 3.3 in
-80-(-50-50)=20
Conversant 4.1 in
-(3-2)+(10-7)=2
Conversant 4.2 in
(14+12)+(14-20)=20
Conversant 4.3 in
-(60+49)+(79+11)=-19
Cognizant 0.4 ip
470600÷50=9412
Cognizant 1.4 ip
738×345=254610
Cognizant 2.4 ip
636004÷2=318002
Cognizant 3.4 ip
716082÷138=5189
Cognizant 4.4 ip
1000÷4÷25=10
Cognizant 5.4 ip
340032÷(28×3)=4048
Cognizant 6.4 ip
2×(4×5)×50=2000
Multiplier 1.5 ip
15213×5107=77692791
Divisor 1.4 ip
29750÷17=1750
Intellect 0.1 in
90÷2-76=-31
Intellect 1.1 in
23+3×19=80
Intellect 2.1 in
7×10+72÷9=78
Intellect 3.1 in
(100-10)÷(13-4)=10
Logics 0.1 in
2×25÷(10÷2)=10
Logics 1.1 in
-66÷(-6)=11
Logics 2.1 in
5×2÷10=1
Logics 3.1 in
(-80÷2)÷(-4)=10
Logics 4.1 in
-2×(48÷(-6))÷8=2
Divisor_ENG 1.4 ip
65961÷21=3141
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
49.24+21.71-63.09=7.86
Partitive 3.3 dp
81-(59.17-50.16)=71.99
Split 0.1 dn
-3.9-(0.8+4.8)=-9.5
Split 0.2 dn
42+40.5=82.5
Split 1.1 dn
7-4.2=2.8
Split 1.2 dn
-84-14.4=-98.4
Split 2.1 dn
0.6-4.8+5.1=0.9
Split 2.2 dn
-95.2+87.5-35.5=-43.2
Split 3.1 dn
-2.2+(-4.9-2.8)=-9.9
Split 3.2 dn
-7+(-14.5-70.1)=-91.6
Residual 1.1 dp
95÷10=9.5
Divisional 1.2 dp
1.26÷0.18=7
Denary 0.1 dp
(46.3÷92.6)×6.8=3.4
Denary 1.2 dp
3.75×2.4=9
Denary 2.2 dp
11.2÷70=0.16
Denary 3.2 dp
4×0.01=0.04
Denary 4.1 dp
13×1.5×1.2=23.4
Denary 5.1 dp
8.8÷(72÷9)=1.1
Definition 0.1 dp
74.1÷9.5-0.2=7.6
Definition 1.1 dp
2×0.4+41.5=42.3
Definition 2.1 dp
68.7-1.2÷2.4×96=20.7
Definition 3.1 dp
26.9-(84.1-81.1)×6.6=7.1
Negatory 1.1 dn
-99+1.9×24=-53.4
Negatory 2.1 dn
-91+4.5×11.4-29.6=-69.3
Residual_ENG 1.1 dp
65÷10=6.5
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
1/3+(1/6+17/2)=9/1
Numerator 1.2 fp
13/33+379/99=38/9
Numerator 2.1 fp
1/3+2/3-3/5=2/5
Numerator 2.2 fp
39/5-29/5-82/75=68/75
Numerator 3.1 fp
1/6+(1/6+4/9)=7/9
Numerator 3.2 fp
63/8-(1/2+51/8)=1/1
Denominator 0.1 fn
5/8+1/4=7/8
Denominator 1.1 fn
-4/5+7/10=-1/10
Denominator 2.1 fn
1/5+3/10+1/2=1/1
Denominator 3.1 fn
-1/2+(-3/4+1/4)=-1/1
Fragment 1.1 fp
3/5÷21/5=1/7
Fragment 1.2 fp
7/11×121/7=11/1
Fragment 2.1 fp
3/2×1/3÷9/8=4/9
Reduction 1.1 fp
56/8=7/1
Reduction 1.2 fp
176/4=44/1
Limited 1.1 fp
2/3×6/7+3/7=1/1
Comparisons
Ceil 0.2 in
77 < 82
Ceil 0.3 in
978÷(-6) < -810÷6
Ceil 1.2 in
-100 < 4
Ceil 1.3 in
730 > 554
Ceil 2.2 in
11+18 < 70-0
Ceil 2.3 in
-172-301 < 70+250
Ceil 3.2 in
66÷(-6) > 25×(-4)
Ceil 3.3 in
-4×(-33) > -890÷89
Point 0.1 dp
1.8×5 = 45.9÷5.1
Point 0.2 dp
56.88-4.25 < 1.7+50.94
Point 1.2 dp
1.3 > 1.28
Point 1.3 dp
74.87 < 98.82
Point 1.4 dp
371.1 > 95.15
Point 2.2 dp
96.8-25.14 > 66.5-7.5
Point 2.3 dp
39.844-21.759 < 80.249-59.756
Point 3.1 dp
87÷5.8 > 0.5×20.8
Point 3.2 dp
29.9÷10 < 18.9÷1.26
Doted 0.1 dn
-47.3 < 47.4
Doted 0.2 dn
-97.85÷1.03 < 95.04÷(-3.52)
Doted 1.1 dn
27 > -32.8
Doted 1.2 dn
-41.12 < 48.26
Doted 2.1 dn
-11.6-1.9 < 8+5.5
Doted 2.2 dn
-79.74+53 < 79.43+3.57
Doted 3.1 dn
-1.6×(-12.5) > -6×4.4
Doted 3.2 dn
71.5÷(-1.3) < 58.25÷2.33
Improper 0.1 fp
1/2×2/7 < 1/2÷5/8
Improper 0.2 fp
227/79 > 1/2
Improper 1.3 fp
25052/267 > 1679/18
Improper 2.2 fp
421/93+206/93 < 175/19-17/19
Improper 2.3 fp
177/2-4391/974 > 277/5-107/5
Improper 3.1 fp
1/5÷1/3 = 9/10×2/3
Improper 3.2 fp
7/3×151/84 < 1/2÷1/17
Descent 1.1 fn
3/10 > -7/8
Descent 1.2 fn
43/7 > -22/3
Descent 2.1 fn
-1/5-3/10 < 2/3-1/3
Equations
Lineal 0.1 in
-1+x÷7=-1
Lineal 0.2 in
44÷(-x)=2
Lineal 1.2 in
-14-x=14
Lineal 1.3 in
-x+943=0
Lineal 2.2 in
-2×x=-84
Lineal 2.3 in
x×31=806
Lineal 3.1 in
-x÷10-9=-8
Lineal 3.2 in
-4+x÷20=0
Lineal 4.1 in
3÷(-x+9)=-3
Lineal 4.2 in
-2×(98-x)=-72
Rounding
Rounding 0.1 dp
4.5≈5
Rounding 0.2 dp
61.68×1.4≈86.4
Rounding 1.2 dp
20.54≈20.5
Rounding 1.3 dp
61.596≈61.6
Rounding 2.2 dp
66.14+6.07≈72.2
Rounding 2.3 dp
3.972+2.712≈6.68
Rounding 3.1 dp
37.7÷42.9≈1
Rounding 3.2 dp
1.61×48.93≈78.8
Language Exercises
Russian Vocabulary 2.4
к ндидат
Lexicon 2.3
stri ed [streaked]
Infinitive 1.2
leap leapt [leap]
Infinitive 3.1
daydream [daydream]
13+
Recommended for adolescents from the age of thirteen
Integer Examples
Conversant 0.4 in
-434-728+612=-550
Conversant 0.5 in
-838313+779082=-59231
Conversant 1.4 in
78-280=-202
Conversant 2.4 in
-94-307+971=570
Conversant 2.5 in
-39565-759256-36212=-835033
Conversant 3.4 in
-821-(-206+65)=-680
Conversant 3.5 in
583000-(856644-390000)=116356
Conversant 4.4 in
(333-538)+(211+44)=50
Conversant 4.5 in
-(391946+433469)+(772757-500569)=-553227
Divisor 1.5 ip
1562499÷139=11241
Intellect 0.2 in
-295-56×44÷11=-519
Intellect 1.2 in
-262×5+360=-950
Intellect 2.2 in
63+141×10-594=879
Intellect 3.2 in
600-27÷(10+17)=599
Logics 0.2 in
-50÷10×(-20)=100
Logics 1.2 in
-14÷7=-2
Logics 2.2 in
14×2×(-10)=-280
Logics 3.2 in
(-168÷(-6))÷(-4)=-7
Logics 4.2 in
25×4×(-30÷10)=-300
Divisor_ENG 1.5 ip
2489837÷119=20923
Decimal Examples
Partitive 0.4 dp
524.517-(21.608+486.975)=15.934
Partitive 1.4 dp
588.902-74.629=514.273
Partitive 2.4 dp
487.916-95.12-202.796=190
Partitive 3.4 dp
537.051-(295.368-167.605)=409.288
Split 0.3 dn
63.09+23.56=86.65
Split 0.4 dn
150.322+(307.251-564.84)=-107.267
Split 1.3 dn
29.75+40.32=70.07
Split 1.4 dn
423.979+231.642=655.621
Split 2.3 dn
-35.09+20.59-79.31=-93.81
Split 2.4 dn
448.696-466.3+31.2=13.596
Split 3.3 dn
-65.81-(-51+81.44)=-96.25
Split 3.4 dn
-572.502-(-160.053+0)=-412.449
Residual 1.2 dp
74÷8=9.25
Divisional 1.3 dp
0.924÷0.5=1.848
Denary 0.2 dp
9.6×0.5×12.5=60
Denary 0.3 dp
12.1÷100=0.121
Denary 1.3 dp
8.625×1.664=14.352
Denary 2.3 dp
2.124÷2.4=0.885
Denary 3.3 dp
10.35×5.28=54.648
Denary 4.2 dp
18.4÷7.36÷1.25=2
Denary 4.3 dp
3.84×0.75×33.6=96.768
Denary 5.2 dp
(10.25÷51.25)×0.2=0.04
Denary 5.3 dp
(28.586÷14.293)×0.007=0.014
Definition 0.2 dp
36.87+0.2÷(80.88-80.8)=39.37
Definition 1.2 dp
2×0.04+9.95=10.03
Definition 1.3 dp
39.788-4.68÷2.08=37.538
Definition 2.2 dp
62.83-0.9÷3×34=52.63
Definition 2.3 dp
28.622+9×2.127÷76.572=28.872
Definition 3.2 dp
(90-88.57)×(19.5+4.5)=34.32
Negatory 0.1 dn
83.8+27.2÷4=90.6
Negatory 0.2 dn
-67.71+77.76÷(1.07+1.33)=-35.31
Negatory 1.2 dn
24+18.75×0.32=30
Negatory 1.3 dn
29.484÷2.52+59.372=71.072
Negatory 2.2 dn
-26.2+0.5×25.6÷0.25=25
Negatory 2.3 dn
-15×1.76+2.16÷0.025=60
Negatory 3.1 dn
7-(0.6+0.6)×2.5=4
Negatory 3.2 dn
-30+91.2÷(43.43-31.27)=-22.5
Residual_ENG 1.2 dp
21÷10=2.1
Divisional_ENG 1.3 dp
63.36÷9.216=6.875
Fraction Examples
Numerator 0.3 fp
771/8-6803/72+307/171=70/19
Numerator 1.3 fp
44258/575-43918/575=68/115
Numerator 2.3 fp
5211/271-5106/271+8025/271=30/1
Numerator 3.3 fp
14629/194-(9/97+79/97)=149/2
Denominator 0.2 fn
-189/29-(461/58-507/58)=-166/29
Denominator 1.2 fn
-2/43-1/43=-3/43
Denominator 1.3 fn
41/390+17/78=21/65
Denominator 2.2 fn
-5/31+49/31-68/31=-24/31
Denominator 3.2 fn
-98/25-(2/5-63/10)=99/50
Fragment 0.1 fp
1/2÷1/5÷9/2=5/9
Fragment 0.2 fp
6/7÷4/35×1/10=3/4
Fragment 1.3 fp
17/7÷17/28=4/1
Fragment 2.2 fp
1/2÷3/32×117/16=39/1
Fragment 2.3 fp
2/3×297/4÷2343/38=57/71
Fragment 3.1 fp
(56/9×3/8)×1/7=1/3
Fragment 3.2 fp
(1/2×110/3)×12/11=20/1
Reduction 1.3 fp
1050/30=35/1
Limited 0.1 fp
14/5÷(14/3+7/3)=2/5
Limited 1.2 fp
1/26+3/13×1/2=2/13
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
15/2÷60/7+61/8=17/2
Complete 1.2 fn
-571/12-103/3÷1442/37=-1357/28
Complete 2.1 fn
(22/3-17/3)×12/5=4/1
Comparisons
Ceil 0.4 in
990537-17775 > 2600+3199
Ceil 1.4 in
979486 < 982390
Ceil 2.4 in
-388433+544440 > -91637-66686
Ceil 3.4 in
-564608÷(-22) > -2×(-3872)
Point 0.3 dp
70.062-9.497 > 27.029+9.946
Point 0.4 dp
200 > 117.366
Point 2.4 dp
990.111-5.414 > 991.834-127.012
Point 3.3 dp
19.788÷4 < 20.74÷4.148
Point 3.4 dp
363.24÷3.027 < 2.41×49.8
Doted 0.3 dn
-30+57 > -45.425-10.68
Doted 1.3 dn
10.084 < 12.192
Doted 1.4 dn
2.314 > -834.886
Doted 2.3 dn
16.235+62.865 > -25.305-17.383
Doted 2.4 dn
393.182-363.682 < 374.829-345.326
Doted 3.3 dn
-65.04÷(-1.355) > 15×(-3.201)
Improper 0.3 fp
13194/163+3424/489 > 11692/133-102/133
Improper 3.3 fp
77/96÷1771/636 < 47/66×4482/47
Descent 0.1 fn
-1/6÷(-3/4) > 1/3÷(-2/5)
Descent 0.2 fn
-103/16 < 13/2
Descent 1.3 fn
351/838 > -1735/19
Descent 2.2 fn
-2/7-13/28 < 493/52-69/52
Descent 3.1 fn
1/3×(-2/3) < 3/5×5/9
Descent 3.2 fn
-1/2×(-6/1) > 5/1×8/15
Equations
Lineal 0.3 in
-5-x×30=-815
Lineal 3.3 in
1000+43×x=1000
Lineal 4.3 in
-300÷(176-x)=-60
System 1.1 ip
y+x=1
Rounding
Language Exercises
Russian Vocabulary 1.5
нар спев
Russian Vocabulary 3.4
иллюм нация
English Vocabulary 1.4
ob ective
English Vocabulary 2.4
cr me
Lexicon 1.4
d pressing [downtrodden]
Infinitive 2.2
overspill [overspill]
14+
Recommended for adolescents from the age of fourteen
Integer Examples
Intellect 0.3 in
-7268-368÷92+17272=10000
Intellect 1.3 in
-2772÷18-5199=-5353
Intellect 2.3 in
-2686-2000÷40+5508=2772
Intellect 3.3 in
-94798+87780÷(91+19)=-94000
Logics 0.3 in
-3520÷8=-440
Logics 1.3 in
-52×99=-5148
Logics 2.3 in
25×4÷2=50
Logics 3.3 in
-500÷(-25×2)=10
Logics 4.3 in
7424÷(4×4)÷16=29
Decimal Examples
Residual 1.3 dp
55÷5=11
Denary 0.4 dp
9÷3.75×78.02=187.248
Denary 1.4 dp
4.5×0.012=0.054
Denary 2.4 dp
9.072÷0.648=14
Denary 3.4 dp
138.24÷34.56=4
Denary 4.4 dp
8.96×25×0.05=11.2
Denary 5.4 dp
(6.25×48)÷19.2=15.625
Definition 0.3 dp
(69.775-68.345)×(5.364+6.536)=17.017
Definition 0.4 dp
415.368+90.288÷16+233.677=654.688
Definition 1.4 dp
46.08÷1.125-10.175=30.785
Definition 2.4 dp
368.51-2.3×0.02+189.536=558
Definition 3.3 dp
(62.824-61.816)÷(1.451-1.367)=12
Definition 3.4 dp
(566.687-566.607)÷(0.532+1.468)=0.04
Negatory 0.3 dn
-43.24÷11.5-23.264=-27.024
Negatory 0.4 dn
(-921.415-52.313)÷(1.146+0.618)=-552
Negatory 1.4 dn
503.634+912.384÷17.28=556.434
Negatory 2.4 dn
-521.82-22.4÷7.168÷25=-521.945
Negatory 3.3 dn
(10.6+5.4)÷(0.637+0.003)=25
Negatory 3.4 dn
89×(0.939+2.502)÷10.68=28.675
Residual_ENG 1.3 dp
35÷5=7
Fraction Examples
Denominator 0.3 fn
-2/11+(-9/253-3448/115)=-151/5
Denominator 2.3 fn
-9/10+1985/57-341/10=-10/57
Denominator 3.3 fn
-4/15+(3377/62-1/90)=15119/279
Fragment 0.3 fp
1133/34÷103/2×4216/61=2728/61
Fragment 3.3 fp
(43/50÷43/20)×91/9=182/45
Limited 0.2 fp
218/9÷(1/2+1/6)=109/3
Limited 1.3 fp
25/116-18/29÷696/35=155/841
Limited 2.2 fp
34/5÷(159/7-145/7)=17/5
Complete 0.2 fn
413/30+32/5×25/48=171/10
Complete 1.3 fn
212/981-19/48×30488/327=-23995/654
Complete 2.2 fn
-9/40×(-1/8-31/8)=9/10
Comparisons
Doted 0.4 dn
-1000 < 520
Doted 3.4 dn
43.2×(-13) < 19.5×28.8
Descent 0.3 fn
241/5-16131/340 > -766/9+56/1
Descent 2.3 fn
4577/219+5983/219 > 1333/33-412/33
Descent 3.3 fn
-95/192×156/95 < 1/14÷(-1/7)
Equations
Quadratic 0.1 in
x2-3x-18=0
Quadratic 1.1 in
10x2=90
Quadratic 2.1 in
-8x2+80x=0
Quadratic 3.1 in
-x2+6x+16=0
System 0.1 ip
10y+10x=200
System 1.2 ip
y+x=31
System 2.1 ip
2x×2y=40
System 3.1 ip
6y-2x=40
Set 0.1 in
2x×y=160
Set 1.1 in
y+x=-3
Set 2.1 in
8x×2y=-320
Set 3.1 in
-6x-7y=71
Language Exercises
Russian Vocabulary 2.5
наскво ь
English Vocabulary 1.5
extra rdinary
English Vocabulary 2.5
adv nce
English Vocabulary 3.4
themsel es
Lexicon 1.5
surpri ingly [amazingly]
Lexicon 2.4
per uade [assure]
Infinitive 1.3
withdraw withdrew [withdraw]
Infinitive 3.2
awake [awake]
15+
Recommended for adolescents from the age of fifteen
Integer Examples
Logics 0.4 in
(-63360÷36)÷(-44)=40
Logics 1.4 in
992×(-676)=-670592
Logics 2.4 in
20×160÷(-400)=-8
Logics 3.4 in
-640000÷(3200÷(-800))=160000
Logics 4.4 in
-100×(10×10)×94=-940000
Fraction Examples
Limited 0.3 fp
1/3÷19/39-77/304=131/304
Limited 2.3 fp
(81/133-4/7)×741/140=39/196
Complete 0.3 fn
15/28×4/5+60127/637=60400/637
Complete 2.3 fn
5/49÷(6/119+118/357)=15/56
Equations
Quadratic 0.2 in
28x2-1120x=0
Quadratic 1.2 in
16x2=6400
Quadratic 2.2 in
-61x2-1220x=0
Quadratic 3.2 in
-x2+29x+342=0
System 0.2 ip
6x×5y=65610
System 1.3 ip
y+x=1296
System 2.2 ip
5x÷y=5
System 3.2 ip
20y+30x=3460
Set 0.2 in
2530x÷80y=115
Set 1.2 in
-y-x=-10
Set 2.2 in
66x÷5y=66
Set 3.2 in
8y+12x=1640
Language Exercises
Russian Vocabulary 3.5
н верх
English Vocabulary 3.5
continuo sly
Lexicon 2.5
anniv rsary [annual]
Infinitive 2.3
sightread [sight-read]
16+
Recommended for adolescents from the age of fifteen
Equations
Quadratic 0.3 in
678x2=43392
Quadratic 1.3 in
231x2=1006236
Quadratic 2.3 in
-399x2+259350x=0
Quadratic 3.3 in
-x2+121x+1452=0
System 0.3 ip
x+y=800
System 2.3 ip
840x÷294y=4
System 3.3 ip
20y+13x=22499
Set 0.3 in
143x+733y=-648800
Set 1.3 in
-x+y=592
Set 2.3 in
96y÷16x=1689
Set 3.3 in
-150x+760y=444400
Language Exercises
Infinitive 3.3
cut [cut]
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