How close is your first estimate?

THE COVERED COUNT

Do we have enough?

Some counters are inside bags. Each bag holds a known range. Decide whether the total reaches the target in every case, in some cases, or in none.

Four untimed problems. Your result counts answers in this exercise only.

USE IT IN REAL LIFE

Make the count explainable.

Before entering an estimate, try picturing a group of ten. Then ask how many similar groups might fit in the whole field. After revealing, compare that picture with the rows of ten.

For 32 dots, three complete rows hold 30 and the short row holds 2. A guess of 35 differs from the exact count by 3. That difference describes one attempt; it does not tell you why the estimate was high or low.

Try two approaches

• Estimate the whole field at once, then check it.
• Imagine splitting the field into smaller regions, estimate each, and add them.

There is no required speed and no penalty for revealing. The same six fields repeat after restart so you can compare approaches; remembering a previous count is not a new independent estimate.