Worksheet– 24361 (v2) Apply mathematical processes to BCATS projects

Student name:

Situation 1. You have been given the following specifications and asked to construct a coffee table. The tabletop is to be constructed out of solid rimu – ex 160 x 25

Work out the amount of timber (quantities, sizes etc) required. Show your calculations.

From your calculations, complete the following cutting list for the timber for the coffee table.

Part	Number of	Length	Width	Thickness	Total length
Top
Side rails
End rails
Legs

Situation 2. The drawing below shows the outline of a roof section. From the information given answer the following and show your working.

5.600 = = 1.200 C A B 22

Using Pythagoras theorem, calculate the length of the rafter A – C.

Using the triangle theorem, calculate the angle CAB.

Situation 3. The curved section of a residential garden is to be retained using a simple timber post and rail retaining wall.

1.200

Job specifications

Posts	100 x 100 D45 H4 treated

Retaining timber	200 x 50 D45 H4 treated

Concrete	Will be purchased

Calculate the quantity of timber and concrete materials required. Show your working.

0.600 0.600 GL GL Backfill Retaining timber Geotextile fabric Drain coil Pile hole (200 x 200) Capping (200 x 50) H4

From your calculations complete the following materials list.

Part	No. Required	Size	Totals
Rails
Capping
Posts

Situation 4. A rectangular area that is 3.750m x 5.250m is to be paved with 150 x 150 x 0.40 concrete paving slabs that cost $2.10 each.

The edge restraint timber is 150 x 50 and a decorative timber inlay strip is to be inserted diagonally from corner to corner.

Calculate the total number of paver slabs required and how much will they cost.

Calculate the total length of edging timber required.

Calculate the length of decorative inlay strip needed.

Sketch a plan view of the area to be paved and dimension the sides and decorative inlay strip. The sketch does not have to be to scale.

Assessor Sign off:

Assessor name: Assessor signature: Date:	RESULT: A = Achieved, N = Not Yet Achieved