STEM Festival

NatWest Money Sense

Over the STEM Festival, Years 7, 8, 9 and 10 have been delving in to how mathematics relates to the UK financial system during some of their Maths lessons.

In Year 7, students learned about the difference between debit and credits cards. Students were very aware that a debit card gave you access to the money you had earned while a credit card was where you were borrowing money. However, students were not aware of the issues that misusing a credit card could cause.

Students also discussed when we should be using a debit card and when to use a credit card.  Some scenarios that were talked about were paying the monthly mortgage bill and paying for a holiday. Students realised that the mortgage bill should not be paid by a credit card as we are paying back borrowed money by borrowing more money which is not financially wise; whilst paying for a holiday by credit card was due to the protection you get with using one if a holiday company went into administration.

In Year 8, students were given an opportunity to learn about what to look out for on a pay slip. Although it may be quite a while before students may see one of these, the importance of seeing one now and how this links to the maths they are currently learning was invaluable.

Students were very intrigued to know about the tax code and their national insurance number and when they will receive these. They were not aware of how a few numbers in the tax code could impact the amount of tax each of us pay and the amount we end up taking home.

We then moved onto looking at the deductions, learning about when we pay income tax and the brackets of income tax that we can fall into.  They also looked at what national insurance is and how much we have to pay; they couldn’t believe that you started paying for national insurance at £9750 but income tax was £12500.

Overall, students were very keen to see where the money they earn goes and how tax and national insurance is calculated. At least they can attempt to make an estimate on the wages they will receive into their banks in the future.

In Year 9 students looked at insurance.  This made them aware of the different types of insurance that was available and, in some cases, needed. They were not fully aware that it is a legal requirement to have car insurance when driving a car but it was not a legal requirement to have other types of insurance, for example buildings insurance if you owned a home. It was amazing to see the knowledge that the Year 9 students had and the awareness of the different types of insurance that was out there.

In Year 10, students were given an opportunity to learn about different types of financial frauds and scams. The students discussed how fraud arises and what you and your bank can do to protect yourself. Some examples involve avoiding sharing personal details online, checking your bank statements for unusual activity and always questioning any emails or posts that offer opportunities for easy money.

Escape Rooms

Students in Year 9 were also given the opportunity to take part in a virtual escape room in their Maths lessons. They were placed into teams of five and given a different problem in seven different ‘rooms’ in a school that they had to solve in order to escape.

The rooms were scrambled for each team so everyone completed the puzzles in a different order. As some rooms were harder than others, they didn’t know how they were doing until the very end.

After completing all the rooms, there was one final challenge which was to decode the key cards and answer three questions in order to win. Each of the key cards they had received had different clues on them. The students had to work as a team to be able to solve the problem and ‘escape’.

Code Breaking

Year 8 students enjoyed a spot of codebreaking in their Maths lessons during the STEM fortnight. They learned that cracking codes and unravelling the true meaning of secret messages involves lots of maths, from simple addition and subtraction, to data handling and logical thinking. Famous historical codebreakers such as Alan Turing were looked at with his role in deciphering the German Enigma code during World War 2, proving to be a particularly interesting discussion point.

Students also tried their hand at breaking a range of different codes including the ‘Dancing Men’, ‘Pig Pen’ and ‘Caesar’ ciphers as well as a bit of Morse Code. Why not have a go at breaking the code below which uses the aforementioned ‘Dancing Men’ cipher:

Key:

Coded message:

Bits & Pieces

Year 11 were given the opportunity look into how mathematics links to the real world. They looked at how the code breaking at Bletchley Park and another code, the Lorenz cipher, thought to be unbreakable, broke the Enigma code. Year 11 discovered how breaking the Lorenz cipher has impacted how we communicate today through the use of the internet.  This helped to develop the ASCII code. ASCII is used now for computers to communicate between each other over the internet. Students had the opportunity to see how ASCII worked and how messages were encoded and decoded.

Enigma Machine

Year 10 students participated in an activity exploring the construction and operation of the Enigma machine, which was used by the Nazi’s to encode messages during the Second World War. After watching a demonstration of a virtual Enigma machine, they had the opportunity to decode messages themselves. This involved setting the ring positions and configuring the plugboard before inputting their Morse code messages to uncover the hidden text.

Through this hands-on experience, students gained insight into the efforts of the allies in deciphering enemy communications. They learned how breaking the Enigma code was instrumental in understanding Nazi strategies, ultimately helping to shift the course of the war in favour of the allies and contributing to the end of World War II.

Mr Cafferkey

Maths Department

Year 10 Scene Fraud Investigators

As part of the Maths element of the STEM festival, 10B took a break from their regular lessons to learn about different types of financial fraud and scams. The activity centred around a fictitious young person who appeared to have been the victim of fraud. Working in small groups, the students analysed a range of exhibits to work out exactly what had happened, deepening their understanding of the dangers of identity theft and how to prevent it from happening. The students enjoyed deciphering the clues and putting their expert sleuthing skills to the test.

Mr McVey

Maths Department

United Kingdom Mathematics Trust

Intermediate Mathematical Challenge 2025

As part of the recent school STEM festival, the Year 9 and 10 students took on the yearly challenge of the UKMT Intermediate Mathematics Challenge 2025.

This national event presents an annual challenge to students in Years 9 and 10 and takes the form of a multiple-choice quiz based on using mathematical skills learnt in lessons to problem solve.

Over 4000 schools across the UK take part in this event and the standard of participation is high.  Only the best achieving students can receive an award and to do so is recognition of the effort and ability of our students.

Once again, I am pleased to announce that our students have achieved one of our best ever set of results with 38 medals awarded. This represents a tremendous achievement for our students going up against some of the best other schools in the country.

This year’s prize winners are as follows:

Silver awards were achieved by:

(Year 10) Emily W (also best in Year 10), Elsie B, Tanisha S, Isabella S, Olivia H and Poppy M

(Year 9) Safiyyah R (also joint best in school and joint best in Year 9), Ava T (also joint best in school and joint best in Year 9), Sophia W, Philippa M, Emily T, Isabella N and Cherlotte Y.

Bronze awards were achieved by:

(Year 10) Hannah S, Grace S, Faatimah V, Grace A, Fatima S, Georgia K, Zoha I, Daisy M, Jessica B, Naomi S, Unaisah B, Imogen C, Lily S and Scarlett S.

(Year 9) Georgia B, Sophie W, Mathilda R, Maryam M, Charlotte O, Lucy R, Martha S, Charlotte T, Isabella F, Isabella M and Lilah C.

Congratulations to everybody involved. We are very much looking forward to the other Mathematical challenges this year.

Mr S. Cheal

The Mathematics Department

Year 9 Edge Hill Maths Challenge

Year 9, set 1 have taken part in stage 1 of the Edge Hill University Mathematics Challenge. This is an annual competition organised by the Faculty of Arts and Sciences that provides students the opportunity to tackle engaging mathematical activities while developing teamwork and communication skills.

This competition is designed specifically for Year 9. The students work in teams, of 3-5 students Each team presents their solutions to one of two questions. Solutions have been presented in an interesting and creative way, as per the brief.

The problems presented in each stage of the competition are very different from the Mathematical work associated with Key Stage 3 and 4 mathematics and examinations.

The Challenge aims to:

• immerse pupils in mathematics whilst making the subject fun

• develop their passion to mathematics as a subject

• promote a positive image of mathematics

• promote problem solving skills

• encourage group work

• develop presentational verbal and written skills

• encourage pupils and schools to think about ways of integrating ICT within mathematics

• explore alternative ways of solving problems.

All 5 teams that were entered are now through to round 2 of the challenge and are faced with a different challenge; this time needing some complex computing skills.

Well done to all the students that have participated and we look forward to seeing how you get on in round two.

Mrs Phillips

The Mathematics Department

Year 11: Getting the most out of your revision

As Year 11 approach their final set of mock exams and final exams, I would like to remind all Year 11 students the importance of effectively revising for their GCSE Maths exams by using a combination of past papers, topic-based revision and online resources.

A structured revision timetable can help them cover all topics systematically, focusing on areas where they need the most improvement. Using resources like Sparx Maths, and other websites like Maths Genie and First Class Maths can help reinforce key concepts with their videos, topic questions and booklets. Creating flashcards are useful for memorising formulas and practising past papers under timed conditions is particularly useful for familiarising themselves with exam-style questions and improving time management.

One valuable tool for past paper revision is Method Maths, an online platform that the school has subscribed to which provides interactive past GCSE Foundation and Higher papers with guided support and instant feedback. It allows students to track their progress, identify weaknesses and practise exam-style questions in a way that simulates real exam conditions. Method Maths also indicates what grade they are currently achieving, as well as showing what needs to be done to improve their grade.

All Y11 students have been allocated a Method Maths account with their personal log in details. If they have lost or forgotten these, please ask their class teacher for them.

Most importantly, consistency is key—regular, focused revision sessions will lead to better retention and confidence on exam day.

Best of luck with to Year 11 with their revision and exams. 

Miss Hasan

The Mathematics Department

United Kingdom Mathematics Trust – Intermediate Mathematical Challenge 2025

As part of the recent school STEM festival, it was time for our Year 9 and 10 pupils to take on the yearly challenge of the UKMT Intermediate Mathematics Challenge 2025.

This national event presents a yearly challenge to students in Years 9 and 10, and takes the form of a multiple-choice quiz based on using mathematical skills learnt in lessons to problem solve.

Over 4000 schools across the UK take part in this event and the standard of participation is high, only the best achieving students can receive an award and to do so is recognition of the effort and ability of our students.

Once again, I am pleased to announce that our students have achieved one of our best ever set of results with 38 medals awarded. This represents a tremendous achievement for our students going up against some of the best other schools in the country.

This year’s prize winners are as follows:

Silver awards were achieved by the following:

(Year 10) Emily W (also best in Year 10), Elsie B, Tanisha S, Isabella S, Olivia H and Poppy M

(Year 9) Safiyyah R (also joint best in school and joint best in Year 9), Ava T (also joint best in school and joint best in Year 9), Sophia W, Philippa M, Emily T, Isabella N and Cherlotte Y.

Bronze awards were achieved by the following:

(Year 10) Hannah S, Grace S, Faatimah V, Grace A, Fatima S, Georgia K, Zoha I, Daisy M, Jessica B, Naomi S, Unaisah B, Imogen C, Lily S and Scarlett S.

(Year 9) Georgia B, Sophie W, Mathilda R, Maryam M, Charlotte O, Lucy R, Martha S, Charlotte T, Isabella F, Isabella M and Lilah C.

Congratulations to everybody involved. We are very much looking forward to the other Mathematical challenges this year.

Some advanced dates for your diaries.

Mr S. Cheal

The Mathematics Department

Mr McVey’s Mysterious Maths – US Presidents Edition

For better or worse, Donald J Trump has begun his second term as president of the United States. Hence, in this edition I’ve set you a data analysis task about current and former US presidents. Answers can be emailed to me (r.mcvey@penworthamgirls.lancs.sch.uk) or handed to me in person.

Correct entries will receive a coveted Head’s Breakfast. Good luck!

Look at the table of data below and see if you can answer the ten related questions.

1. Of these presidents, who was the youngest at the start of his presidency?

2. Of these presidents, who was the oldest at the start of his presidency?

3. Which of these presidents were born in 1924?

4. Which of these presidents were born in 1946?

5. Which of these presidents were under 50 when they began their terms?

6. If you select one of these presidents at random, what is the probability that they are a Democrat?

7. In which state was Ronald Reagan born?

8. In which state was Barack Obama born?

9. What do you get if you multiply Donald Trump’s age at the start of his presidency by George W. Bush’s date of birth?

10. What do you get if you divide George H.W. Bush’s year of birth by Jimmy Carter’s age at the start of his presidency?  

United Kingdom Mathematics Trust – Intermediate Mathematical Challenge 2025

Time for a reminder that as we are now in the Spring term the UKMT Intermediate Challenge 2025 for Years 9 and 10 is fast approaching.

This will be taking place during Mathematics lessons on Wednesday 29th January. Year 9 will be completing the challenge during period 1 and Year 10 during period 2.

As ever, we are very much looking forward to a great set of results with both years groups doing very well in their respective challenges last year.

Good luck to all 125 pupils involved and if you would like some further practice, click on the attached link to find copies of previous years challenges.

https://www.ukmt.org.uk/competitions/solo/intermediate-mathematical-challenge/archive

Mr S. Cheal

The Mathematics Department

Sparx Maths

Sparx Maths

Since September, we have answered over 798,638 questions correctly in 7,170 hours across 800 students. This is a tremendous achievement from the students this year on Sparx Maths and we are on track to smash the records they achieved last year.

Sparx XP Boost Competition

The Maths department have been running a Sparx Maths XP Boost competition this half term that finished on the 13th December. All students were able to gain bonus XP on Sparx maths during this time by completing the mini games and XP Boost tasks each week.

The top 3 pupils in each year are:

PositionYear 7Year 8Year 9Year 10Year 11
1stVillo HGauri-Radha CChloe LTilly EClaudia B
2ndEve CJaymi REsther INaomi SLinah A
3rdCharlotte PRofiat AMariam AErica CLily S

Well done to everyone who took part and prizes will be passed on to the winners.

Mr Cafferkey

Teacher of Maths

  • Artsmark Platinum Award - Awards by Arts Council England
  • Lancashire Socio-economic Equality Badge
  • SMART
  • School Mental Health Award
  • Ofsted - Outstanding Provider
  • International School Award
  • FFT National Attendance Award
  • Behaviour Quality Mark
  • Artsmark Platinum Award - Awards by Arts Council England
  • Lancashire Socio-economic Equality Badge
  • SMART
  • School Mental Health Award
  • Ofsted - Outstanding Provider
  • International School Award
  • FFT National Attendance Award
  • Behaviour Quality Mark