Advent puzzle 1: use all of 1, 12, 20 and 14, with any of + − × ÷ ( ), to make 1.

— Portsmouth MathsJam (@MathsJamPOR) December 4, 2014

Advent puzzle 2: use all of 2, 12, 20 and 14, with any of + − × ÷ ( ), to make 2. (Puzzles 3 and 4 will be tweeted this afternoon.)

— Portsmouth MathsJam (@MathsJamPOR) December 4, 2014

Advent puzzle 3: use all of 3, 12, 20 and 14, with any of + − × ÷ ( ), to make 47.

— Portsmouth MathsJam (@MathsJamPOR) December 4, 2014

Advent puzzle 4: use all of 4, 12, 20 and 14, with any of + − × ÷ ( ), to make 47.

— Portsmouth MathsJam (@MathsJamPOR) December 4, 2014

Advent puzzle 5: arrange the eight digits of 05122014 in a circle so that the sum of any three consecutive digits is a prime number.

— Portsmouth MathsJam (@MathsJamPOR) December 5, 2014

Advent puzzle 6: today is the feast day of Saint Nicholas, or Santa Claus. Here's an alphametic to solve: SANTA + MATHS = POMPEY.

— Portsmouth MathsJam (@MathsJamPOR) December 6, 2014

Advent puzzle 7: use all of 7, 12, 1 and 4, with any of + − × ÷ ( ), to make all totals from 1 to 24. One of these can't be made. Which one?

— Portsmouth MathsJam (@MathsJamPOR) December 7, 2014

Advent puzzle 8: using the digits 1 to 8 once each, make a fraction equal to 8/12 (= 2/3). The position of the 8 is given: ????/?8??

— Portsmouth MathsJam (@MathsJamPOR) December 8, 2014

Advent puzzle 9: complete the grid (see picture) with the digits 1 to 9 once each so that all equations are correct. pic.twitter.com/gz48aiWYBY

— Portsmouth MathsJam (@MathsJamPOR) December 9, 2014

Advent puzzle 10: Santa is back with another alphametic to solve: SANTA + MATHS + TEN = POMPEY.

— Portsmouth MathsJam (@MathsJamPOR) December 10, 2014

Advent puzzle 11: 1?2?3?4?5?6?7?8?9?10?11=1112. Replace each ? with one of + − × ÷ to make the equation correct. Operator precedence applies

— Portsmouth MathsJam (@MathsJamPOR) December 11, 2014

(2/2) Advent puzzle 12: standard operator precedence applies.

— Portsmouth MathsJam (@MathsJamPOR) December 12, 2014

Advent puzzle 13: 1?2?3?4?5?6?7?8?9?10?11?12?13=12345. Replace each ? with one of +−×÷ to complete the equation. Operator precedence applies

— Portsmouth MathsJam (@MathsJamPOR) December 13, 2014

(2/2) Advent puzzle 14: one total can't be made. Which one?

— Portsmouth MathsJam (@MathsJamPOR) December 14, 2014

(2/2) Advent puzzle 15: Operator precedence applies. No multiplication. The target is 15/12/14 = 15/168 = 5/56 = 0.089285714285714…

— Portsmouth MathsJam (@MathsJamPOR) December 15, 2014

(2/2) Advent puzzle 16: standard operator precedence applies. Some numbers are already given.

— Portsmouth MathsJam (@MathsJamPOR) December 16, 2014

Advent puzzle 17: 1/a + 1/b + 1/c + 1/d + 1/e + 1/f = 17/12. Given 1<a<b<c<d<e<f<17 find a, b, c, d, e and f.

— Portsmouth MathsJam (@MathsJamPOR) December 17, 2014

(2/2) …each pair of adjacent numbers sums to a prime number, and each pair of diametrically opposite numbers also sums to a prime number.

— Portsmouth MathsJam (@MathsJamPOR) December 18, 2014

Advent puzzle 19: an alphametic. THIRTY – ELEVEN = NINE + NINE + ONE. There are two solutions.

— Portsmouth MathsJam (@MathsJamPOR) December 19, 2014

Advent puzzle 20: Use all of 20, 40, 60, and 80, with any of +− ×÷(), to make all totals from 1 to 10. One total can't be made. Which one?

— Portsmouth MathsJam (@MathsJamPOR) December 20, 2014

Advent puzzle 21: Use all of 2, 1, 12 and 14, with any of + − × ÷ ( ), to make all totals from 1 to 30.

— Portsmouth MathsJam (@MathsJamPOR) December 21, 2014

Advent puzzle 22: we don't have seven swans a-swimming, but for day 22 we do have two little ducks in an alphametic. QUACK + QUACK = PADDLE.

— Portsmouth MathsJam (@MathsJamPOR) December 22, 2014

Advent puzzle 23: Use all of 2, 3, ½ and ⅓, with any of + − × ÷ ( ), to make all totals from 1 to 20. One total can't be made. Which one?

— Portsmouth MathsJam (@MathsJamPOR) December 23, 2014

(2/2) Advent puzzle 24: use any of +−×÷() and exponentiation. You can also concatenate the given digits, so 12, 21, 24 etc. are allowed.

— Portsmouth MathsJam (@MathsJamPOR) December 24, 2014