Write out your own solution to the following problem.

## Example 17: St Ives

As I was going to St Ives

I met a man with seven wives.

Kits,
Author(s): The Open University

Pretend that you are the marker of another solution to the same problem. How would you mark Solution B?

## Example 16 Billions

You may think that you know what the word billion means but do you really have a feel for its size?

Author(s): The Open University

In this type of question you are given the answer! All the marks are allocated for correct reasoning and justification.

## Example 15

Suppose you now decide to place your new bath (length 1.7 m, height 0.8 m) against this wall as shown in the diagram below.

Author(s): The Open University

## Example 14

Suppose you have decided to tile the wall using square tiles of side 10 cm. You are proposing to use the tiles across the full 5 metre width of the wall up to a height of 1.8 m.

Find the number of boxes of tiles that you will require to cover the wall if the tiles are sold in boxes o
Author(s): The Open University

1 You are planning to paint three rooms with total wall areas of 56, 38 and 40 square metres, using paint that comes in tins which claim to cover 15 square metres per tin. How many tins will you need for each room? And how many in total?

<
Author(s): The Open University

Formulas are important because they describe general relationships, rather than specific numerical ones. For example, the tins of paint formula applies to every wall. To use such a formula you need to substitute specific values for the general terms, as the following examples show.

## Example 8

Author(s): The Open University

1. Data in the form of counts of individual entities (for example, people, animals, power stations) in a small set of discrete categories can be presented in bar charts or pie charts. For most purposes, bar charts are preferable. Pie charts draw particular attention to the proportions in which the entities are split between the different categories. However, they do so by representing the proportions by angles, and even when the main interest lies in the propo
Author(s): The Open University

Finally, we relate the method of specifying points in the plane as an ordered pair of real numbers (that is, via the Cartesian coordinate system) to vectors.

In order to do this, we use those vectors whose starting point is the origin; such vectors are called position vectors. For example, the position vector (2, âˆ’1) is the vector shown below.

Author(s): The Open University

In lots of everyday situations percentages are used to make predictions and comparisons.

## Example 14

The number of casualties handled by the outpatients department of a hospital increases by approximately 8% per year. The number of casualties this year was 1920. Make a prediction for the number
Author(s): The Open University

Discount can be calculated in the same way as an increase by a percentage. For example, Â£8 with 15% discount means you actually pay

Â Â Â£8 less (15% of Â£8)

Â Â 15% of 8 = Ã— 8 = Author(s): The Open University

Course image: Davide D'Amico in Flickr made available under Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence.

The content acknowledged below is Proprietary (see terms and conditions) and is used under licence.

Grateful acknowledgement is
Author(s): The Open University

Real Brazilian Conversations #36 â€“ Avisos Importantes e Carnaval
Hello guys, Guilherme here. After a little break, weâ€™re back again! Today I talk about an important cultural event in Brazil, the Carnival! Thre is something I need you to know about RLP, listen to...

Check out our website, reallylearnportuguese.com and find out more how we can help you to improve your Portuguese language skills!

Masayoshi Son is betting \$100bn on the world's most exciting technology startups. Win or lose, his Vision Fund is shaking up the tech industry and those that invest in it. Plus, the Pulitzer-prize winning playwright David Mamet on his new comedy inspired by Harvey Weinstein. And are smartphones the key to escaping poverty?

Author(s): No creator set

A Factor Analysis of the Speech of Children with Cleft Palate
Original source: ; ; ; ; This electronic text file was created by Optical Character Recognition (OCR). No corrections have been made to the OCR-ed text and no editing has been done to the content of the original document. Encoding has been done through an automa ted process using the recommendations for Level 2 of the TEI in Libraries Guidelines. Digital page images are linked to the text file.
Author(s): Duane R. Van Demark

Another way to tackle unfamiliar words is to start a â€˜concept cardâ€™ system, using index cards. When you meet a word which seems important, take a new card and write the word at the top, followed by any useful information you have found. File the cards alphabetically and add details as you come across new information. (It is worth getting an index card box anyway, then you can try out various ways of using it to organise your studies.)

Author(s): The Open University

This key skill has used a three-stage framework for developing your skills. By developing a strategy, monitoring your progress and evaluating your overall approach, you take an active role in your own learning. But learning does not necessarily follow a path of steady improvement, it involves change: revisiting ideas, seeing things from different perspectives, tackling things in different ways.

You are unlikely to be able to complete your work by working through it from beginning to end
Author(s): The Open University

In this , we describe the theory of evolution by natural selection as proposed by Charles Darwin in his book, first published in 1859, On The Origin of Species by Means of Natural Selection, or The Preservation of Favoured Races in the Struggle for Life. We will look at natural selection as Darwin did, taking inheritance for granted, but ignoring the mechanisms underlying it.

This OpenLearn course provides a sample of level 1 study in
Author(s): The Open University

This unit explores conceptual tools for assisting our thinking and deliberation on what matters. In Section 1, a reading by Ronald Moore introduces the notion of 'framing' nature, raising the perceived paradox of inevitably devaluing an aesthetically pleasing unframed entity. Three further readings, two from Fritjof Capra and one from Werner Ulrick (all of which are quite short and markedly reduced from their original courses), provide an understanding of systems thinking for explicitly frami
Author(s): The Open University

Understanding the environment: Complexity and chaos
There is increasing recognition that the reductionist mindset that is currently dominating society, rooted in unlimited economic growth unperceptive to its social and environmental impact, cannot resolve the converging environmental, social and economic crises we now face. The primary aim of this free course, Understanding the environment: Complexity and chaos, is to encourage the shift away from reductionist and human centred thinking towards a holistic and ecological worldview. Author(s): Creator not set

Introduction to forensic engineering
Why do products fail and who finds out why? In this free course, Introduction to forensic engineering, we enter the complex world of forensic engineering and examine how scientists analyse product failure. From investigating a ladder accident to determining the reasons behind the failures in medical products, you will understand how the truth can be established. Author(s): Creator not set