# FM Complex multi-step problem(s)

A **complex problem** requires requires a **multi-step process**, typically requiring planning and working through** at least two connected steps or processes**. Individual problems are based on a combination of the knowledge and/or skills from the mathematical content areas (MCA). At** Level 2 **it is expected that the student will be able to address individual problems **some of which draw upon a combination of all three MCA** (number, measures, data) and require students to **make connections **between those content areas. The** context **of individual problems at L2 will require interpretation and analysis in order for the student to be able independently to identify and carry out an appropriate mathematical process or processes.

An Australian version (i.e. uses A$, Australian vocabulary, curriculum details, etc.) of the popular Using Formulae written by Jean Thomas in 2006. Covers substituting into formulae, percentages and working with large numbers.

**Editor's notes**

This document has been created to support learners who work with handling and using pesticides within the framework of current legislation. The material supports the following outcomes:

Pancake Day in Exdale is a multi-level graduated Functional Maths workbook for Entry Level 1 to Level 2. A front page overview allows the teacher or learner to decide which levels and topics to work on. All questions are based on one or other of two texts (pancake meals at the local pub and special offers in the Exdale Cook Shop). The emphasis throughout is on problem solving and showing working out.

At Entry Levels the main coverage is time, dates and money. Levels 1 and 2 include questions on time, converting between measures, circumference, percentage discount and mean.

NEW 24/2/22 answer sheet now also available - visit our ANSWER SHEETS page for more information.

A follow-on Valentine's Day resource from the E1-E3 worksheet of the same name. It continues the general problem solving of finding suitable meal deals for various couples and calculating how much they save by purchasing a Valentine's meal deal. For L2 learners it also delves into compound measures with challenging multiple questions on on unit prices (e.g. £/kg, £/litre).

This is a Level 2 based Currency Conversion set of 4 questions with resource sheets and answers. All exchange rates resources were obtained from web sites such as The Post Office and the Bank of England.

**Editor's note**

Also provides useful practice in multiply, dividing with decimals (up to 4 decimal places); sensible rounding of answers; and extracting data from tables.

This resource covers all the Functional Skills content descriptors relating to ratio and proportion. It was written with mixed L1-L2 classes in mind. I wanted to experiment with inverse proportion questions (a new topic in Reformed Functional Maths) but wanted to build up to them gradually. The questions are contextualised and problem based, with no underpinning taught, so learners will need an introduction to ratios (or a refresher) beforehand. Ratios, direct and inverse proportion are covered.

A topical resource that requires students to interpret a news infographic and calculate the difference between two times. There is also a second question for Level 2 learners on Speed, Distance, Time. As well as enabling students to practise time calculations it can lead to discussion about this controversial rail project.

**Editor's notes**

Really topical and interesting. With curriculum mapping. No answer sheet.

Challenging set of questions based on an infographic from a recent TV Licensing annual review. Aimed at L1-2 but a few questions are Entry 2/3 - there are also a couple of "stretch questions" making a bridge to GCSE. Two main topics are covered: working with very large numbers and percentages. Extracting data, equivalents and ordering decimals are also touched upon.

This is a project based on Benford's law. I had this idea after watching the Numberphile series on YouTube. This is a project based activity that involves many skills including working with large numbers, using percentages, representing data and probability.

The investigation is introduced to learners using the PPT (and optional YouTube links). Learners then split into four groups - each is given a random set of share prices [see Excel file]. Each group investigates the occurrence of numbers starting with each digit from 1 to 9.

**Editor's note**

A challenging set of L1-2 maths questions that celebrate 50 years since the first Moon landing. Covers new reformed content such as compound measures and 3 figure bearings. Plus an introductory PPT with background information and pop up answers.

**Editor's note**

Fully mapped to the new reformed Functional Maths content. **The answer sheet, which includes detailed working out and marking guidance, is only available to site contributors. Please see details within the resource.**