All on a summer's day

6th January 2006 at 00:00
Puzzles to test mathematical skills, set by Anita Straker. Solutions below More brainteasers on

The Queen of Hearts made 24 jam tarts. She arranged them in a square box so that the pattern was symmetrical and there were 9 tarts along each side of the box. The Jack of Hearts stole some of the tarts. He arranged the rest so that there were still 9 tarts in a symmetrical pattern along each side of the box.

How many tarts did the Jack of Hearts steal?

What was the new pattern?


Hank the workman was 1.5 metres tall. He was standing upright in a hole he was digging.

"How much deeper are you going to dig?" asked Hank's mate.

"When I have finished the hole will be twice as deep," replied Hank. "My head will then be three times as far below the ground as it is now above it."

How deep was the final hole?

SOLUTIONS Digging a hole (ages 10 to 14). The final hole was 2.4 metres deep. It helps to represent the information in the problem in a diagram.

The thick lines show Hank. From this we can see that: h=(4.5 - 3h) + (1.5 - h), which gives h=1.2

All on a summer's day (ages 5 to 9) The Jack of Hearts stole 4 tarts and arranged the rest like this:

Log-in as an existing print or digital subscriber

Forgotten your subscriber ID?


To access this content and the full TES archive, subscribe now.

View subscriber offers


Get TES online and delivered to your door – for less than the price of a coffee

Save 33% off the cover price with this great subscription offer. Every copy delivered to your door by first-class post, plus full access to TES online and the TES app for just £1.90 per week.
Subscribers also enjoy a range of fantastic offers and benefits worth over £270:

  • Discounts off TES Institute courses
  • Access over 200,000 articles in the TES online archive
  • Free Tastecard membership worth £79.99
  • Discounts with Zipcar,, Virgin Wines and other partners
Order your low-cost subscription today