← Back to Resources/5-Complement Rule Drills

TamilGenius Lab · tamilgeniuslab.com

தமிழ் ஜீனியஸ் லேப்

5-Complement Rule Drills

Course: Abacus for Children — Level 2

Practice Sheet · Premium

4 pages of 5-complement rule drills with bead-movement notation. 60 problems.

Abacus Progress Pack — 5-Complement Rule Drills

60 problems across 4 pages. The 5-complement rule is used when the lower beads are full (4 beads up) and you need to add more: push the upper bead down and remove the 5-complement from the lower beads.

The 5-Complement Pairs

1 + 4 = 52 + 3 = 53 + 2 = 54 + 1 = 5

Page 1 of 4 — 5-Complement Addition

Rule: When lower beads are full, push upper bead DOWN and remove the 5-complement from lower beads.

1.4 + 1=

Direct: push 1 lower bead up

2.3 + 2=

Direct: push 2 lower beads up

3.3 + 3=

5-rule: +5 then -2

4.4 + 2=

5-rule: +5 then -3

5.4 + 3=

5-rule: +5 then -2

6.4 + 4=

5-rule: +5 then -1

7.3 + 4=

5-rule: +5 then -1

8.2 + 3=

Direct: push upper bead down, result = 5

9.2 + 4=

5-rule: +5 then -1

10.1 + 4=

Direct: push upper bead down

11.1 + 3=

Direct: push 3 lower beads up

12.3 + 1=

Direct: push 1 lower bead up

13.2 + 2=

Direct: push 2 lower beads up

14.4 + 1=

Direct or 5-rule (both work)

15.1 + 2=

Direct: push 2 lower beads up

Page 2 of 4 — 5-Complement Subtraction

Rule: When you cannot remove enough lower beads, push upper bead UP and add the 5-complement to lower beads.

16.5 - 1=

5-rule: remove upper bead, add 4 lower

17.5 - 2=

5-rule: remove upper bead, add 3 lower

18.5 - 3=

5-rule: remove upper bead, add 2 lower

19.5 - 4=

5-rule: remove upper bead, add 1 lower

20.6 - 1=

Direct: remove 1 lower bead

21.6 - 2=

5-rule: remove upper bead, add 3 lower

22.6 - 3=

5-rule: remove upper bead, add 2 lower

23.7 - 2=

Direct: remove 2 lower beads

24.7 - 3=

5-rule: remove upper bead, add 2 lower

25.7 - 4=

5-rule: remove upper bead, add 1 lower

26.8 - 3=

Direct: remove 3 lower beads

27.8 - 4=

5-rule: remove upper bead, add 1 lower

28.9 - 4=

Direct: remove 4 lower beads

29.6 - 4=

5-rule: remove upper bead, add 1 lower

30.9 - 1=

Direct: remove 1 lower bead

Page 3 of 4 — Mixed (Write Bead Movements)

For each problem: write the answer AND describe the bead movements.

31.3 + 3 = ___

Bead movements:

32.4 + 2 = ___

Bead movements:

33.7 - 3 = ___

Bead movements:

34.4 + 4 = ___

Bead movements:

35.8 - 4 = ___

Bead movements:

36.3 + 4 = ___

Bead movements:

37.6 - 2 = ___

Bead movements:

38.2 + 4 = ___

Bead movements:

39.9 - 4 = ___

Bead movements:

40.6 - 3 = ___

Bead movements:

41.4 + 3 = ___

Bead movements:

42.7 - 2 = ___

Bead movements:

43.8 - 3 = ___

Bead movements:

44.3 + 2 = ___

Bead movements:

45.5 - 1 = ___

Bead movements:

Page 4 of 4 — Speed Drill (3 minutes)

No hints. Set a 3-minute timer. Write answers only.

46.4 + 3=

47.6 - 2=

48.3 + 3=

49.8 - 4=

50.4 + 4=

51.7 - 3=

52.3 + 4=

53.5 - 2=

54.2 + 4=

55.9 - 4=

56.6 - 3=

57.4 + 2=

58.7 - 4=

59.5 - 3=

60.6 - 1=

Score

54+ = Excellent · 42-53 = Good · below 42 = Review 5-complement pairs

___ / 60

Page 1 (add): ___ / 15

Page 2 (sub): ___ / 15

Page 3 (mixed): ___ / 15

Page 4 (speed): ___ / 15

Part of these learning packs

Abacus Progress Pack

16 printable pages for Levels 2–3 — complement rules, carry/borrow operations, and error-checking templates with parent answer keys

One page per complement pair (1↔4, 2↔3). Isolated practice builds automatic recall.

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

TamilGenius Lab · tamilgeniuslab.com · Free Tamil-first education for every child

This is a premium resource. Print unlimited copies for personal and classroom use.