# All on a summer's day

Puzzles to test mathematical skills, set by Anita Straker. Solutions below More brainteasers on www.tes.co.ukteacherbrainteasers.

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?

DIGGING A HOLE

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:

It only takes a moment and you'll get access to more news, plus courses, jobs and teaching resources tailored to you

## Latest stories

• ### Call for teachers to cover online gaming dangers

Catherine Lough
22 October 2019
• ### Why do schools find it so difficult to learn?

Kester Brewin
21 October 2019
• ### Ofsted asked to investigate 'off-rolling' row MAT

John Roberts
21 October 2019
• ### Do progression frameworks really help?

Michael Tidd
21 October 2019
• ### 'Erasmus+ changes lives. Don't let students miss out'

Stephen Exley
21 October 2019
• ### The teachers risking their jobs to save the planet

Dave Speck
21 October 2019
• ### GCSE resits: 2 in 3 students 'make no progress'

Julia Belgutay
21 October 2019
• ### ‘Use the school curriculum to tackle racism’

Emma Seith
21 October 2019
• ### The PRU, the boarding school and a unique experiment

Leanne Forde-Nassey and Ollie Ward
21 October 2019
• ### Requests for late entry for summer-born plateau

Catherine Lough
21 October 2019