Exercise library
Attempt first. Then compare.
Use these like a skill ladder: concept checks first, then rhythm drills, then challenge-style review inside practice and worksheets.
Exercise library
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L0
- Identify the bead groups
The first step in reading a soroban is understanding the value of the two bead groups on a rod.
- Name the beam and active position
Value depends on contact with the beam, not just on bead position somewhere on the rod.
- Read the digit seven
Read the upper bead first, then add the active lower beads.
- Read the digit zero
On the soroban, an inactive rod shows zero when neither the upper nor lower beads touch the beam.
- Read the number twenty-four
Two active lower beads on the tens rod mean 20, and four active lower beads on the ones rod mean 4.
- Set the number thirty-one
Place value matters more than the total number of moved beads.
- Read forty-two
This strengthens two-rod reading before arithmetic starts adding pressure.
- Set fifty
This helps learners see that zeros still matter because they preserve place value.
- Bead reading race
This is a race-style exercise: the goal is not panic, but faster clean reading of a two-rod number.
L1
- Set the number four
Four is made entirely with lower beads, one point each.
- Set the number eight
Eight is faster to set as 5 + 3 than by trying to count only with lower beads.
- Add 2 and 3 on one rod
This is a useful first pattern because the result becomes the upper bead alone.
- Add 1 to 7
Read the existing structure first, then add the smallest new movement possible.
- Add 4 and 4
Read the final rod as five plus three.
- Subtract 2 from 8
Eight is five plus three. Removing two leaves five plus one.
- Add three to six
This is a good early direct-addition drill because the value stays on one rod but still changes shape.
- Subtract three from nine
This reinforces that subtraction should still end with a clear rod reading, not just a guessed result.
- Matching number pairs
Matching exercises make learners compare structures instead of treating every problem as unrelated.
L2
- Use a complement to reach five
This is one of the core complements-to-five pairs.
- Add 3 to 2 using a complement
Complements let you move to a cleaner final shape instead of treating every step as unrelated.
- Use a complement to reach ten
The 7 and 3 pair is one of the core complements-to-ten patterns.
- Add 3 to 7
Reading the complement pair first makes the final value immediate.
- Complement ladder to five
This builds complement recall as a ladder of related pairs instead of isolated facts.
- Complement ladder to ten
The goal is to make complements-to-ten feel like a rhythm, not a lookup table.
- Error diagnosis with complements
Error diagnosis builds stronger complement memory because you must judge and repair a wrong statement, not only answer a blank.
L3
- Mixed two-digit sequence
The key is holding place value calmly through each step.
- L3 mixed, sequence columns · 3-4 digits
This authored worksheet now carries the same profile metadata used by generated worksheets, so its label and drill can be certified.
- Two-digit subtraction check
Read the value again after subtraction to confirm each place stayed stable.
- Carry rhythm check
This drill checks whether a carry is actually landing as a stable new total before the next subtraction begins.
- Sign-switch relay
This drill is meant to feel like a relay. Each sign change should pass the full total cleanly to the next step.
L4
- Multiply 3 by 4
Repeated addition is a gentle way to enter multiplication structure.
- Multiply 4 by 3
Seeing the same total through another grouping helps flexibility.
- Divide 12 by 3
Exact division becomes easier when you check it with repeated addition.
- Divide 12 by 4
Try checking the result with 3 + 3 + 3 + 3.
- Multiply 12 by 3
Place-aware multiplication becomes easier when tens and ones are treated as separate partial products.
- Multiply 14 by 4
This drill reinforces that the tens product and ones product must stay aligned before they are combined.
- Divide 24 by 6
Exact division stays stable when you search for the missing factor and check it immediately with multiplication.
- Divide 36 by 9
This drill strengthens exact quotient recognition and checks whether you can trust multiplication facts during division.
- Six-times table ladder
This exercise reinforces one multiplication family so repeated structure starts to feel familiar instead of random.
- Multiply 23 by 4
This is a stronger place-shift drill because the tens product and ones product both matter and must stay aligned.
- Divide 48 by 6
This is a clean division-facts exercise that keeps the factor family visible and exact.
- Divide 63 by 7
This quotient-building exercise is useful because it stretches the exact fact family a little further without introducing remainders.
L5
- Three-step anzan sequence
This sequence trains the habit of keeping one stable internal total through both addition and subtraction.
- Four-step mental balance
This drill reinforces that the mind should hold the current total, not only the latest operation.
- Speed rhythm check
This sequence is meant to test whether speed still preserves the full running total and not just the last place.
- Error recovery sequence
This drill is designed to help learners practice a quick internal check after the direction changes.
- Sign-change anzan
This anzan drill focuses less on size and more on surviving the sign changes without losing the total.
- Mental ladder finish
This drill rewards learners who can keep a full mental ladder instead of only remembering the last move.
Special formats
Playful exercise types
- Bead reading race
This is a race-style exercise: the goal is not panic, but faster clean reading of a two-rod number.
- Matching number pairs
Matching exercises make learners compare structures instead of treating every problem as unrelated.
- Error diagnosis with complements
Error diagnosis builds stronger complement memory because you must judge and repair a wrong statement, not only answer a blank.