MathemaGrids MathemaGrids MathemaGrids

MathemaGrids

KNS Puzzles offers the MathemaGrids puzzles in the following formats:
Puzzle A - 0 - 1 - 2 - 3 - random hints
Puzzle B - 0 - 1 - 2 - 3 - random hints
Puzzle C - 0 - 1 - 2 - 3 - random hints

Complete the grid using all of the digits 1 to 9. When completed all of the sums must be correct. The sums are solved strictly left to right, top to bottom. The normal order of mathematical operations is ignored. For example 2 + 5 x 9 is calculated as (2 + 5) x 9 = 63. There are no ÷ 1 in the puzzle. There are no x 1 in the puzzle (although there might be 1 x). At no point will any calculation go below zero, or fractional. What are the numbers for?
These are the sums that have to be satisfied once all of the digits 1 to 9 are entered.

MathemaGrids Puzzle Start

Puzzle Start

This is the start of the puzzle.

MathemaGrids Step 2

Step 2

There is only one way to make 28 = 4 x 7 (or 7 x 4). As there is no ÷ 1 in any puzzle, there is no way of making 7 with the first two digits. Therefore the last digit must be the 7.

MathemaGrids Step 3

Step 3

There is only one way to make 22 = 5 + 8 + 9 (as the 7 has already been used).

MathemaGrids Step 4

Step 4

We are still after the 4 (Step 2: 4 x 7 = 28) in Column 1, and 8 ÷ 2 is now the only way of doing this.

MathemaGrids Step 5

Step 5

The only remaining way to make 24 is 2 x 3 x 4. So the missing digits in Row 2 are 3 and 4. Which means the remaining digits (1 and 6) must be in Row 3.

MathemaGrids Step 6

Step 6

As there are no ÷ 1 in any puzzle, Row 3 must be 7 - 1 ÷ 6 = 1.

MathemaGrids Step 7

Step 7

There is no way of reaching 42 in Column 3 if we use the 5, therefore Column 3 must be 9 x 4 + 6 = 42.

MathemaGrids Step 8

Step 8

This cannot be 9, as we've already used it. Similarly the centre square cannot be 4. The puzzle now completes.

MathemaGrids Finished Puzzle

Finished Puzzle

The completed puzzle.