The Three-Quarter Maze

Grade 5 · Puzzles · Page 1 of 2

Name Date
DIRECTIONS: Top-left to bottom-right, stepping only on fractions equal to three quarters. No diagonals.
Divide top and bottom by the same number: 21/28 is 3/4. 22/29 will not divide.
START3/4→6/85/77/94/52/3
11/15✗9/1212/1613/185/67/10
8/119/1315/2018/2410/1311/14
13/1714/1916/2121/2824/3217/23
19/2520/2722/2923/3127/3630/40
25/335/87/86/79/11FINISH33/44
Done for you 3/4 — already three quarters ✓ → 6/8 = 3/4 (both ÷ 2) ✓.  11/15 — nothing divides both ✗ not that way. Carry on from there.
  1. Write the fractions you stepped on, in order.

The Three-Quarter Maze — What You Found

Grade 5 · Puzzles · Page 2 of 2

  1. Pick a cell you did not step on that looked tempting. Show the working that ruled it out.
  2. What do all the fractions on the route have in common when you look at the numbers themselves?
  3. Make up two more fractions that would be safe to step on, using numbers bigger than any on this board.