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Problem of the Week

Problem B

‘Place’ Value

Complete the puzzles below by entering the digits from 1 through 9 in the blank boxes to make all the horizontal and vertical statements true. In each puzzle, use each digit just once and do the operations in the order that they appear, from left to right and from top to bottom.

Two 7 by 7 crossword-like puzzle grids where rows 1, 3 and 5 and columns 1, 3 and 5 are equations with missing numbers. The first grid is puzzle a) and the second grid is puzzle b). The equations for each grid are given in the tables.

In puzzle a), the location of the digit 6 has been given, so the eight empty boxes each contain a different digit from 1 through 9, other than 6. In puzzle b), the location of the digit 7 has been given, so the eight empty boxes each contain a different digit from 1 through 9, other than 7.

1 Across Blank box + 6 × Blank box = 56
3 Across Blank box - Blank box + Blank box = 12
5 Across Blank box + Blank box - Blank box = 4
1 Down Blank box + Blank box ÷ Blank box = 5
3 Down 6 + Blank box × Blank box = 50
5 Down Blank box - Blank box × Blank box = 4
1 Across Blank box + Blank box × Blank box = 52
3 Across Blank box - Blank box + Blank box = 14
5 Across 7 + Blank box ÷ Blank box = 5
1 Down Blank box + Blank box ÷ 7 = 2
3 Down Blank box - Blank box × Blank box = 21
5 Down Blank box + Blank box ÷ Blank box = 5

Strand: Number Sense and Numeration