## FREE Olympic GCSE Maths lesson – archery and circles

Actually it’s a Paralympic Maths lesson: teach area and circumference of circles in the context of Paralympic Archery.

Like what you see? More lessons like this are freely available on **ActiveTeach** – no login required.

## End-of-term GCSE activity: Sherlock Holmes mathematical mystery

Looking for a fun and engaging way to fill an end-of-term lesson? Download this free resource:

Set in modern day London, Sherlock Holmes has been called in by Scotland Yard to investigate the theft of the world’s largest ruby, the Devil’s Eye. Stolen from Harrods, the police have nothing to go on except a few mathematical clues.

**Your students’ challenge is to solve the clues to help Holmes ****and Watson work out where they must go next.**

We first published this story last Autumn as a competition in six episodes. Due to their continuing popularity on this **blog**, we’ve assembled all the episodes into this single **booklet**. All the clues are designed as AO2 or AO3 problem-solving questions, they all carry a GCSE grade, and the booklet is free for you to download. Best of all, if you’re subscriber you can also get a…

**FREE Print copy for Subscribers**

Leave a comment on this post and we’ll send one out to you!

Any UK-based Secondary Maths teacher can subscribe to this blog: enter your school email address in the box top right of the screen and we’ll post a free copy. Subscription is free, you will not be spammed and we will not share your details with any third parties.

## Christmas Maths Challenge – win a Christmas Hamper!

**MATHS TEACHERS – solve this Sherlock Holmes Christmas Maths Mystery and win a hamper packed with excellent things! **

**Simply download the two PDF’s below, solve the clues, and send your answers to ****sherlockh_221b@yahoo.co.uk by 5pm on Monday 13th December:**

You’re taking part in the **sixth and final episode** of our **Sherlock Holmes Maths competition**. The prize will go to the answer which solves/identifies the most clues. All Maths teachers and Maths classes are welcome – **MERRY CHRISTMAS!**

## Sherlock Holmes GCSE Maths Challenge – episode 4 solution

Many congratulations to the **Episode 4** winners of our **Sherlock Holmes maths competition:**

**Jonathon Cox at The Littlehampton Academy**

for successfully working out where Holmes and Watson must go next.

**And the answer is:**

**OXFORD CIRCUS.**

We’ll be sending the winners a **FREE Class set of Longman’s unique AQA A-A* and G-F Practice Books (15 copies of each) ****and a tin of Cadbury’s Heroes.**

Coming up next… a spot of Christmas shopping in Episode 5 on Wednesday.

Here is the **winning solution to episode 4:**

The solution to how far away Moriarty is from the tunnel.

The path of the firework is y=300+44x-x^2. This is a quadratic so using the quadratic formula to find x when y=0

x= (-b +/- square root (b^2 – 4ac))/(2a)

where a=-1, b=44 and c=300

x = (-44 +/- square root (44^2 – 4X-1X300))/(2X-1)

x = (-44 +/- square root (1936 + 1200))/(-2)

x = (-44 +/- square root (3136))/(-2)

x = (-44 +/- 56)/(-2)

Either x = (-44 – 56)/(-2) = -100/-2 = +50 (where the tunnel is)

or x = (-44 + 56)/(-2) = 12/-2 = -6 (where Moriarty must have fired the firework from)

So 50 – -6 = 56 metres away from the tunnel

Moriarty is 56 metres awayThe Code.

Using the Coordinates of the Tate Modern (34, 14) and the code FG DG.

Using a shifted substitution D=1, E=2, F=3 etc

The Coordinates generated from substitution of CK EE gives (08, 22) which give the coordinates for Oxford Circus

Moriarty’s Target is Oxford Circus

## EPISODE 4: Sherlock Holmes Maths Competition – FREE AO3 Maths challenge for 5th November

**SHERLOCK HOLMES AND THE MYSTERY OF THE DEVIL’S EYE**

**Episode 4 – “G U N P O W D E R , T R E A S O N A N D P L O T”**

**The story so far… **Called to investigate the disappearance from Harrods of the world’s largest ruby, the **Devil’s Eye, **Holmes and Watson follow a trail from there to the London Eye. Further clues at the London Eye lead them into a Halloween, midnight chase through the tunnels under the Thames. Ably assisted by **two Maths teachers from Gloucestershire College**, they solve the probability clues and arrive at… **B O R O U G H M A R K E T!**

Emerging from the tunnels, Holmes and Watson finally catch a glimpse of the thief in **EPISODE 4**:

And here’s the accompanying **worksheet**:

**WHAT TO DO: **

**DOWNLOAD THE PDFs, SOLVE THE CLUES, AND SUBMIT YOUR ANSWERS TO: ****SherlockH_221B@yahoo.co.uk**** **

**BY MONDAY 15th NOVEMBER.**

The winning entry will be drawn at random from all correct answers, and will receive a **FREE Class set of Longman’s unique AQA A-A* and G-F Practice Books (15 copies of each) ****and a tin of Cadbury’s Heroes.**

**If you’re NEW to this competition…**

View **this page of our blog** to keep up to date with all the action. The competition is free to enter, and you can join in any Round/Episode. All the page references in the Episode point to maths support in our** AQA GCSE Middle sets Student Book**. All new and existing subscribers are entitled to receive a single free copy of this book – **request your copy by leaving a comment on this post.**

**GOT ANY QUESTIONS?** Just leave a comment on this post and we’ll get straight back to you.

## SHERLOCK HOLMES MATHS COMPETITION – Episode 2 Solution…

Our congratulations to **Episode 2’s** winner of our **Sherlock Holmes Maths Competition**…

**YEAR 9 SET 1 FROM CANON PALMER SCHOOL IN REDBRIDGE…**

…for successfully working out where Holmes and Watson must go next.

**AND THE ANSWER IS:**

…**ANGEL ISLINGTON!**

We’ll be sending the winners a **FREE Longman AQA Middle Sets ACTIVE-TEACH DVD – ***our popular and highly rated resource for electronic whiteboards*** – and a tin of Cadbury’s Heroes.**

Here’s their answer:

Reading the clue the pupils worked out that they needed to draw on the NW line from the London Eye. They measured an angle of 45° from the North line going towards the west. From there they measured a bearing of 060° and drew on a line which took them to

ANGEL ISLINGTON

DISCOVER WHAT HAPPENS NEXT WHEN HOLMES AND WATSON ARRIVE AT ANGEL ISLINGTON IN EPISODE 3:

**NEXT WEDNESDAY, 20th OCTOBER.**

**We know that half-term may get in the way for some of you, so we’ll be extending the deadline for solutions until 31st OCTOBER, HALLOWEEN!**

**Without giving anything away, we can promise a heady mix of HALLOWEEN adventure and Unit 1 Maths in Episode 3. What more could anyone want from a Maths challenge at this time of year?!**

**Remember****: **Maths teachers can join this competition at any time. You can catch up on all the action in the earlier episodes **on this dedicated page of our blog**.

If you’re not a subscriber to our blog, you’ll find it makes sense to sign up – subscribers receive every new post straight to their email (never more than 4 per week), including updates on this competition. Just enter your school email address in the box top right of your screen – there’s no charge for this, and no spam.

We’ll also post out a FREE copy of our **AQA GCSE Middle Sets Student Book** straight to your school. Without giving too much away… This book will be essential for solving clues in the later episodes of the competition! Existing subscribers, who’ve not yet claimed their free copy, should leave a comment on this post, and we’ll send one out.

## EPISODE 2: Sherlock Holmes Maths Competition – FREE AO3 resource to download

**SHERLOCK HOLMES AND THE MYSTERY OF THE DEVIL’S EYE**

**Episode 2 – “W H E E L O F F O R T U N E”**

**The story so far… **Holmes and Watson have been called by a frantic Inspector Lestrade to investigate the disappearance from Harrods of the world’s largest ruby, the **Devil’s Eye**. Solving the fiendish maths clues left behind in **Episode 1** – and ably assisted by **Class 10 Set 3 of SUTTON GRAMMAR SCHOOL in Surrey** – they worked out which door the thief left by, and where he was heading next**… to the L O N D O N E Y E. **

Thinking a murder is about to be committed, they arrive breathless at the famous landmark:

And here’s the accompanying** map and worksheet**:

**DOWNLOAD THE PDFs, SOLVE THE CLUES, AND SUBMIT YOUR ANSWERS TO: ****SherlockH_221B@yahoo.co.uk**** **

**BY 5pm ON TUESDAY 12TH OCTOBER.**

The winning entry will be drawn at random from all correct answers, and will receive a **FREE Longman AQA Middle Sets ACTIVE-TEACH DVD – ***our popular and highly rated resource for electronic whiteboards*** – and a tin of Cadbury’s Heroes.**

**If you’re NEW to this competition…**

The competition is free to enter, and you can join in any Round/Episode! View **this page of our blog** to keep up to date with all the action, find out where Holmes has been so far, and read the rules.

**GOT ANY QUESTIONS?** Just leave a comment on this post and we’ll get straight back to you.

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