Applying Maths in Construction

Antoinette Tourret, John Humphreys

• Publisher: Routledge
• Year: 2013
• eBook ISBN: 9781136069802
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

* Ideal as part of portfolio of evidence for students of NVQ Levels 1-3 in Construction Crafts, and GNVQ Intermediate and Advanced, in Construction and the Built Environment.* Applies mathematical skills to realistic construction situations.* Companion Teacher's Pack contains a wealth of assessments and tests on all core number skills.

project 1

Decorating a room

A Number skills

Addition	Modules 2, 4, 7
Algebra	Module 27
Approximating and estimating	Modules 2, 12, 14
Areas	Modules 15, 16
Checking procedures	Module 12
Converting units of measurement	Module 11
Division	Module 13
Fractions	Module 22
Measurement	Modules 1
Money	Modules 12, 13
Multiplication	Modules 12, 16
Ratios and proportions	Module 19
Percentages	Modules 4, 10
Perimeters	Modules 2, 7
Subtraction	Modules 2, 7
Technical drawing	Modules 5, 26

B Job description and analysis of tasks

MartinCrafts have been asked to provide an estimate for decorating a lounge which has been allowed to deteriorate badly due to lack of maintenance. At a preliminary visit, two of their decorators, Penny and David, took the following room dimensions and made a list of the tasks which would have to be carried out.

Room dimensions

• the room is rectangular – 6.9 m in length by 4.7 m in width

• the height is constant throughout the room at 2.45 m

• there are two doors (0.75 m by 1.95 m) at either end of the 6.9 m partition wall

• each door is 500 mm in from the corner of the room

• one window is situated on each 4.7 m wall of the lounge, measuring 1.05 m by 2.4 m

• the windows are positioned 1 m from the floor

• there is 50 mm architrave around each door and 50 mm cover fillets around each window

• the skirting board measures 125 mm in depth and runs round the whole room.

The preliminary visit done by Penny and David indicated that the walls and ceiling would require stripping completely and repairing where necessary. All paintwork will need to be burnt-off and reduced to the bare wood before re-painting. They drew up the following list:

• all walls to be stripped and sized

• all walls to be wall-papered

• the ceiling to be cleaned and textured

• 150 mm coving to be fitted

• the ceiling and coving to be given three coats of white emulsion

• the doors are to be stripped, primed, undercoated and glossed on one side to specification

• the windows are to be stripped, primed, undercoated and glossed on the inside

• all skirtings, architraves and coverfillets are to be stripped, primed, undercoated and glossed to specification.

C Cost of materials

Penny’s and David’s next task is to find the cost of materials from their suppliers. The prices given are without VAT added.

Emulsion	£25 per 5 litres (L)
Wallpaper	£5.45 per roll
Primer	£3.59 per L
Undercoat	£7.79 per 2.5 L
Gloss finish	£4.45 per L
Artex texture	£8.99 per 25 kg bag
Coving	£15.95 per 10 m pack
Size	£1.55 per packet

D Other considerations

After more meetings with the customer and considering the quality of the tasks with their manager, Penny and David make a list of important facts which will have to be taken into consideration:

• the wallpaper to be used is standard width at 540 mm wide and comes in 10 m length rolls. The pattern recurs every 500 mm so this must be accounted for in any calculations

• the cost of wallpapering is £10 per roll and the price of each roll is £10.95

• the packets of size cover 10 m² per packet

• the coverage of 5 L of emulsion is 35 m²

• the coverage of 1 L of primer is 5 m² of bare wood

• the coverage of 2.5 L of undercoat is 10 m²

• the coverage of 1 L of gloss coat is 6 m²

• artex covers 1 m² per 1 kilogram

• cost of applying artex is £1.75 per 1 m²

• coving wastage of 15%

• cos...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Contents
• Introduction
• Project 1 Decorating a room
• Project 2 Designing a staircase
• Project 3 Planning kitchens
• Project 4 Excavation for a swimming pool
• Project 5 Material requirements for a detached garage
• Index