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P6 Math · Chapter 16brightbit.net/worksheets

Heuristics — Guess-and-Check, Systematic Listing

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    Sweets cost 30¢ each and chocolates cost 50¢ each. With exactly $2.50, buy exactly 7 items. How many of each?

    Answer: ____________________________________

  2. 2.

    A farmer has chickens and rabbits. 15 heads and 42 legs. How many of each?

    Answer: ____________________________________

  3. 3.

    Using digits 1, 2, 3, 4 once each, form two 2-digit numbers with the greatest possible product.

  4. 4.

    List all ways to make $1.00 using exactly 10 coins (10¢, 20¢, 50¢ only).

  5. 5.

    A 3-digit number has digit sum 12. It is divisible by 4 and the hundreds digit is twice the units digit. Find it.

    Answer: ____________________________________

  6. 6.

    A snail climbs 3 m per day but slips 1 m back each night. A 10 m pole — how many days to reach the top?

    Answer: ____________________________________

  7. 7.

    Numbers 1–100 are written. How many times does the digit '5' appear?

    Answer: ____________________________________

  8. 8.

    How many rectangles are in a 3×3 grid of squares?

    Answer: ____________________________________

  9. 9.

    At a party, every person shakes hands with every other person once. 15 handshakes total. How many people?

    Answer: ____________________________________

  10. 10.

    Odd numbers 1, 3, 5, ..., 99. What is their sum?

    Answer: ____________________________________

Answer key — P6 Math: Heuristics — Guess-and-Check, Systematic Listing

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.5 sweets, 2 chocolates
  2. 2.9 chickens, 6 rabbits
  3. 3.31 × 42 = 1302 (or 41 × 32 = 1312)
  4. 4.e.g. 2×50¢+8×0¢ — must use exactly 10 coins. One way: 5×20¢+5×10¢=100¢ ✓
  5. 5.624
  6. 6.8 days
  7. 7.20
  8. 8.36
  9. 9.6
  10. 10.2500
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