mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

16 December

Arrange the digits 1-9 in a 3×3 square so that: the median number in the first row is 6; the median number in the second row is 3; the mean of the numbers in the third row is 4; the mean of the numbers in the second column is 7; the range of the numbers in the third column is 2, The 3-digit number in the first column is today's number.
median 6
median 3
mean 4
today's numbermean 7range 2

Show answer

11 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums 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. Today's number is the product of the red digits.
+÷= 2
+ ÷ ÷
÷÷= 3
÷ - ÷
÷÷= 1
=
2
=
1
=
1

Show answer

Tags: grids, numbers

9 December

Arrange the digits 1-9 in a 3×3 square so that: all the digits in the first row are odd; all the digits in the second row are even; all the digits in the third row are multiples of 3; all the digits in the second column are (strictly) greater than 6; all the digits in the third column are non-prime. The number in the first column is today's number.
all odd
all even
all multiples of 3
today's numberall >6all non-prime

Show answer

Tags: numbers, grids

3 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums 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. Today's number is the largest number you can make with the digits in the red boxes.
++= 21
+ × ×
++= 10
+ ÷ ×
++= 14
=
21
=
10
=
14

Show answer

Tags: numbers, grids

21 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums 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. Today's number is the smallest number you can make using the digits in the red boxes.
+÷= 2
× + -
×-= 31
+ + -
-×= 42
=
37
=
13
=
-2

Show answer

Tags: numbers, grids

16 December

Arrange the digits 1-9 in a 3×3 square so that the first row makes a triangle number, the second row's digits are all even, the third row's digits are all odd; the first column makes a square number, and the second column makes a cube number. The number in the third column is today's number.
triangle
all digits even
all digits odd
squarecubetoday's number

Show answer

Tags: numbers, grids

14 December

Put the digits 1 to 9 (using each digit exactly once) in the boxes so that the sums 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. Today's number is the product of the numbers in the red boxes.
-+= 10
÷ + ÷
÷+= 3
+ - ÷
+×= 33
=
7
=
3
=
3

Show answer

Tags: numbers, grids

8 December

Arrange the digits 1-9 in a 3×3 square so: each digit the first row is the number of letters in the (English) name of the previous digit, each digit in the second row is one less than the previous digit, each digit in the third row is a multiple of the previous digit; the second column is an 3-digit even number, and the third column contains one even digit. The number in the first column is today's number.
each digit is the number of letters in the previous digit
each digit is one less than previous
each digit is multiple of previous
today's numbereven1 even digit
Edit: There was a mistake in this puzzle: the original had two solutions. If you entered the wrong solution, it will automatically change to the correct one.

Show answer

Tags: numbers, grids

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024