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#### Sunday Afternoon Maths LXVII

Coloured weightsNot Roman numerals

#### Advent calendar 2018

#### Sunday Afternoon Maths LXVI

Cryptic crossnumber #2#### Sunday Afternoon Maths LXV

Cryptic crossnumber #1Breaking Chocolate

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speed means chalkdust crossnumber fractions trigonometry clocks sequences cryptic crossnumbers prime numbers routes volume palindromes balancing differentiation ellipses addition floors multiples star numbers chess wordplay factors crosswords proportion square roots coordinates shapes probabilty lines logic games money unit fractions averages digits numbers time mean cryptic clues angles perimeter doubling number ave partitions rugby dodecagons dice algebra triangles probability odd numbers integers dates symmetry regular shapes complex numbers menace advent irreducible numbers spheres geometry coins pascal's triangle division functions folding tube maps integration christmas 3d shapes percentages squares shape perfect numbers taxicab geometry square numbers arrows 2d shapes parabolas cube numbers multiplication rectangles quadratics remainders polygons books calculus cards surds indices chocolate circles bases sport factorials graphs colouring triangle numbers crossnumbers sums hexagons grids scales area people maths sum to infinity planes# Sunday Afternoon Maths XXIII

**Posted on 2014-08-03**

## Ten digit number

Source: Richard Wiseman's Blog

Can you create a 10-digit number, where the first digit is how many zeros in the number, the second digit is how many 1s in the number etc. until the tenth digit which is how many 9s in the number?

## Mrs. Coldcream objected

"I object," said Councillor Mrs. Coldcream. "I see no reason why the boys should be so favoured at the expense of the girls."

This was at a meeting of the Holmshire Education Committee. It had been proposed to award 19 scholarships totalling £1000 to boys and girls of the county. It had been proposed that each girl receive a set amount and each boy receive £30 more than each girl.

Mrs. Coldcream pressed her point with such fervour that it was decided to reallocate the money. Each girl would receive £8 more than originally proposed, with the boys' scholarships scaled down accordingly.

How much did each boy and each girl receive?

## Cooked turkey

An old invoice showed that seventy-two turkeys had been purchased for "—67.9—". The first and last digits were illegible.

How much did one turkey cost?

## Let the passenger train through!

A goods train, made up of a locomotive and 5 trucks, stops at a small station. The small station has a siding which the goods train can reverse into. The siding can hold an engine and two trucks or three trucks.

A passenger train arrives travelling in the opposite direction. How can they let it through? (The passenger train is too long to fit in the siding.)

If you enjoyed these puzzles, check out Sunday Afternoon Maths LXVII,

puzzles about balancing, or a random puzzle.

puzzles about balancing, or a random puzzle.