Objectives / Rules

- Complete the grid using all of the numbers 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.
- ÷ 1 doesn't appear in the puzzle.
- x 1 doesn't appear in the puzzle (although there might be 1 x).
- At no point will any calculation go below zero, or become fractional.

See the Walkthrough below for extra tips and tricks.

What are the numbers for?

These are the sums that have to be satisfied once all of the digits 1 to 9 are entered.

Each sum turns green when the three entered digits satisfy that sum – however, that doesn't necessarily mean that the digits match the answer.

Click or move your mouse over the puzzle to see the answer.

## Walkthrough

Step 2

There is only one way to make 28 = 4 × 7 (or 7 × 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.

There is only one way to make 28 = 4 × 7 (or 7 × 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.

Step 3

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

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

Step 4

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

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

Step 5

The only remaining way to make 24 is 2 × 3 × 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.

The only remaining way to make 24 is 2 × 3 × 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.

Step 6

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

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

Step 7

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

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

Step 8

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

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

Step 9

The completed puzzle.

The completed puzzle.

**Note:** BrainBashers has a Dark Mode setting.