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Complement Rule Drills — Complete Set

Complement Rule Drills — Complete Set

Course: Abacus for Children — Levels 2–3

Practice Sheet · Premium

Complete complement rule practice: 5-comp and 10-comp, addition and subtraction, mixed. 100 problems.

Abacus Mastery — Comprehensive Complement Rule Drills

100 problems across 5 sections. Every complement rule is covered: 5-complement addition and subtraction, 10-complement addition and subtraction, plus a mixed section. More comprehensive than the Progress Pack version.

Complement Rule Quick Reference

5-Complements:

1+4=5, 2+3=5, 3+2=5, 4+1=5

10-Complements:

1+9, 2+8, 3+7, 4+6, 5+5

Section 1 — 5-Complement Addition

Technique: When lower beads are full (4), push upper bead down and remove the 5-complement.
1.4 + 1=
working space
2.3 + 2=
working space
3.3 + 3=
working space
4.4 + 2=
working space
5.4 + 3=
working space
6.4 + 4=
working space
7.3 + 4=
working space
8.2 + 3=
working space
9.2 + 4=
working space
10.1 + 4=
working space
11.6 + 1=
working space
12.7 + 1=
working space
13.6 + 2=
working space
14.7 + 2=
working space
15.6 + 3=
working space
16.8 + 1=
working space
17.5 + 1=
working space
18.5 + 2=
working space
19.5 + 3=
working space
20.5 + 4=
working space

Section 2 — 5-Complement Subtraction

Technique: When you cannot remove enough lower beads, push upper bead up and add the 5-complement.
21.5 - 1=
working space
22.5 - 2=
working space
23.5 - 3=
working space
24.5 - 4=
working space
25.6 - 1=
working space
26.6 - 2=
working space
27.6 - 3=
working space
28.6 - 4=
working space
29.7 - 2=
working space
30.7 - 3=
working space
31.7 - 4=
working space
32.8 - 3=
working space
33.8 - 4=
working space
34.9 - 4=
working space
35.9 - 1=
working space
36.9 - 2=
working space
37.9 - 3=
working space
38.8 - 1=
working space
39.8 - 2=
working space
40.7 - 1=
working space

Section 3 — 10-Complement Addition

Technique: When the ones rod overflows, carry 1 to tens and remove the 10-complement from ones.
41.9 + 1=
working space
42.9 + 2=
working space
43.9 + 3=
working space
44.9 + 4=
working space
45.9 + 5=
working space
46.8 + 2=
working space
47.8 + 3=
working space
48.8 + 4=
working space
49.8 + 5=
working space
50.8 + 6=
working space
51.7 + 3=
working space
52.7 + 4=
working space
53.7 + 5=
working space
54.7 + 6=
working space
55.7 + 7=
working space
56.6 + 4=
working space
57.6 + 5=
working space
58.6 + 6=
working space
59.6 + 7=
working space
60.6 + 8=
working space

Section 4 — 10-Complement Subtraction

Technique: When you cannot subtract from ones, borrow 1 from tens and add the 10-complement to ones.
61.10 - 1=
working space
62.10 - 2=
working space
63.10 - 3=
working space
64.10 - 4=
working space
65.10 - 5=
working space
66.11 - 2=
working space
67.11 - 3=
working space
68.11 - 4=
working space
69.11 - 5=
working space
70.11 - 6=
working space
71.12 - 3=
working space
72.12 - 4=
working space
73.12 - 5=
working space
74.12 - 6=
working space
75.12 - 7=
working space
76.13 - 4=
working space
77.13 - 5=
working space
78.13 - 6=
working space
79.14 - 5=
working space
80.14 - 6=
working space

Section 5 — Mixed Complement Rules

Technique: You decide: is this a 5-comp rule, 10-comp rule, or direct operation? Choose the right technique.
81.4 + 3=
working space
82.11 - 4=
working space
83.3 + 4=
working space
84.9 + 6=
working space
85.7 - 3=
working space
86.8 + 5=
working space
87.6 - 2=
working space
88.4 + 4=
working space
89.12 - 7=
working space
90.9 + 3=
working space
91.5 - 4=
working space
92.7 + 6=
working space
93.8 - 3=
working space
94.6 + 8=
working space
95.10 - 6=
working space
96.3 + 3=
working space
97.13 - 5=
working space
98.9 + 9=
working space
99.7 - 4=
working space
100.14 - 8=
working space

Score

90+ = Complement mastery · 75-89 = Proficient · 60-74 = Review weak sections · below 60 = Reteach complement rules

___ / 100
5-Add: ___ / 20
5-Sub: ___ / 20
10-Add: ___ / 20
10-Sub: ___ / 20
Mixed: ___ / 20

Part of these learning packs

Abacus Mastery Bundle

38 pages of printable practice sheets, answer keys with parent explanations, and timed speed drills for Abacus Levels 1–3

Dedicated practice for the hardest part of Levels 2 and 3. Each page focuses on one rule.

These packs include this resource alongside other printables, tools, and study guides — curated for a specific goal. View all packs →

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