You counted 13 items using tally marks. Which representation is correct?
AThirteen separate vertical lines with no grouping
BTwo bundles of five (||||/) plus three single marks (|||)
COne bundle of five (||||/) plus eight single marks (||||||||)
DThree bundles of five (||||/ ||||/ ||||/) with two crossed out
13 = 5 + 5 + 3, so the correct representation is two complete bundles (||||/) and three single marks (|||). Option A is technically a valid count, but it completely misses the point of tallying — the bundled format makes reading fast because you can recognize groups of five at a glance instead of counting each mark individually.
Question 2 Multiple Choice
A tally chart shows ||||/ ||||/ |. What quantity does this represent?
A7
B9
C11
D12
Count the complete bundles of five first: two bundles = 10. Then add the leftover single mark: 10 + 1 = 11. A common mistake is counting all the vertical strokes including the diagonal ones as separate marks. The diagonal stroke is not a sixth mark — it IS the fifth mark drawn across the other four to form the bundle.
Question 3 True / False
When you see ||||/ in a tally chart, you can immediately recognize '5' without counting each individual mark.
TTrue
FFalse
Answer: True
That is exactly the purpose of the diagonal fifth mark — it creates a visual bundle that your eye recognizes as a group of five instantly, the same way you recognize five fingers on a hand. This speed of recognition is the whole advantage of grouped tallying over single marks.
Question 4 True / False
A single diagonal tally mark (the slash) represents the number 5.
TTrue
FFalse
Answer: False
A single tally mark is always one vertical line representing 1. The diagonal mark is the FIFTH mark drawn across a group of four existing vertical marks — it cannot stand alone. The complete bundle (||||/) represents 5 as a group; the diagonal is one part of that group, not a standalone symbol for 5.
Question 5 Short Answer
Why is the fifth tally mark drawn diagonally across the previous four instead of as another vertical line?
Think about your answer, then reveal below.
Model answer: Drawing the fifth mark diagonally creates a visual bundle of five that can be recognized at a glance without counting. If all marks were vertical, you would have to count each one every time you read the chart. The diagonal turns five individual marks into one recognizable unit, so you can read the chart by skip-counting bundles of five and adding any leftovers — which is much faster.
The grouped-of-five system trades a tiny bit of recording complexity for a large gain in reading speed. It works because humans quickly recognize small bundled quantities, and five is the number of fingers on one hand — making these groups feel natural.