mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

18 December

Put the digits 1 to 9 (using each digit once) in the boxes so that the three digit numbers formed (reading left to right and top to bottom) have the desired properties written by their rows and columns.
multiple of 9
multiple of 3
multiple of 5
multiple of 6multiple of 4cube number
Today's number is the multiple of 6 formed in the left hand column.

Show answer

Tags: numbers, grids

13 December

Put the digits 1 to 9 (using each digit once) in the boxes so that the three digit numbers formed (reading left to right and top to bottom) have the desired properties written by their rows and columns.
The row marked sum is equal to the sum of the other two rows. The column marked sum is equal to the sum of the other two columns.
odd
all digits even
sum
evenoddsum
Today's number is the largest three digit number in this grid.

Show answer

Tags: numbers, grids

12 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums reading across and down are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10.
+-= -2
- - -
+÷= 4
+ ÷ ×
+×= 50
=
4
=
-4
=
10
The answer is the product of the digits in the red boxes.

Show answer

Tags: numbers, grids

6 December

Put the digits 1 to 9 (using each digit once) in the boxes so that the three digit numbers formed (reading left to right and top to bottom) have the desired properties written by their rows and columns.
multiple of 5
multiple of 7
cube number
multiple of 9multiple of 3multiple of 4
Today's number is the multiple of 5 formed in the first row.

Show answer

Tags: numbers, grids

4 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums reading across and down are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, 4+3×2 is 14, not 10.
-+= -4
+ + +
-÷= -1
- ÷ ×
-×= -30
=
0
=
2
=
54
The answer is the product of the digits in the red boxes.

Show answer

Tags: numbers, grids

The self referential crossword

Fill in the following crossnumber grid so that each clue describes the solution.
For example, if some clues read "TEN DS", "ONE X" and "THREE ES" then there will be ten Ds, one X and three Es in the completed grid. The entries in the crossword include the spaces.

Make the sums

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums reading across and down are correct. The sums should be read left to right and top to bottom ignoring the usual order of operations. For example, \(4+3\times2\) is 14, not 10.
+-= 4
+ - ×
-×= 27
- × ÷
×÷= 16
=
2
=
8
=
6

Show answer & extension

Tags: numbers, grids

Fill in the digits

Source: Chalkdust
Can you place the digits 1 to 9 in the boxes so that the three digit numbers formed in the top, middle and bottom rows are multiples of 17, 25 and 9 (respectively); and the three digit numbers in the left, middle and right columns are multiples of 11, 16 and 12 (respectively)?

Show answer & extension

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

sum to infinity prime numbers irreducible numbers combinatorics axes perfect numbers shape crosswords fractions books palindromes arrows geometry cube numbers chocolate numbers powers factors number unit fractions squares square grids addition multiples bases hexagons percentages consecutive integers digital clocks dates angles cubics sets symmetry square roots time cryptic crossnumbers chalkdust crossnumber 2d shapes clocks advent even numbers area determinants crossnumbers surds products games lines prime factors chess partitions the only crossnumber logic wordplay tiling dice planes shapes quadratics median complex numbers averages coordinates gerrymandering cards circles factorials albgebra expansions regular shapes geometric means dominos scales routes ave polynomials multiplication christmas pascal's triangle rugby graphs xor spheres division sequences medians volume ellipses digital products consecutive numbers balancing pentagons folding tube maps taxicab geometry sport integration perimeter menace dodecagons functions trigonometry triangles digits parabolas triangle numbers range grids quadrilaterals tournaments elections algebra proportion mean remainders geometric mean square numbers colouring differentiation 3d shapes probability integers rectangles probabilty speed doubling floors odd numbers matrices binary calculus money indices coins neighbours polygons means star numbers people maths cryptic clues multiplaction squares sums lists decahedra tangents

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026