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SCALES.Plain Scales.

1 Construct a plain scale of 1½ times full size to read up to 60mm.2. Construct a plain scale of 1:200, to give a maximum reading of 60m and a minimum reading of 0.5m.3. The 50mm mark on a dipstick for measuring palm oil content of a drum represents three quarters of a litre.

Design your own dipstick for measuring up to 6 litres of the content of the container.4. Draw a plain scale of 40mm to 1m to read to 3m5. To draw a plain scale of 50mm to 1km to read to 3km.6. Construct a plain scale of 50mm equal to 300mm to read to 10mm up to 1200mm.7. Construct a plain scale of 30mm = 10mm, 50mm long to read to 1mm.

Diagonal Scales.

1. Construct a diagonal scale of 50mm to 1km to read to 3km in Decameters and decimeters.2. Construct a diagonal scale of 3:2 to read up to 300mm.3. Construct a diagonal scale to measure lengths up to 100mm to an accuracy 0f 0.1mm.4. Construct a diagonal scale of 1:50 (20mm represents 1000mm or 1 meter) to give readings to an accuracy of

two decimal places..5. Construct a diagonal scale of 1:10,000 (100mm to 1km) to read up to 3km, to an accuracy of two decimal

places.6. Construct a diagonal scale of 1/4 full size to read up to 5dm in cm and mm.7. Construct a diagonal scale of twice full size to read up to 6cm in mm and tenths of a mm.8. Construct a diagonal scale of 25mm to represent 1m, capable of reading one-hundredth of a meter, up to a

maximum of 5m. Mark on the scale two points A and B such that AB = 3.72m.9. Construct a diagonal scale of cm to read up to 11cm in mm and tenths of a mm.10. Construct a diagonal scale of twice full size to read up to 6cm in mm and 1/10

ths of a mm.11. Construct a diagonal scale of 3cm equal to 1m to read up to 4m in dm and cm.12. Construct a diagonal scale of 1/4 full size to read up to 5dm in cm and mm.13. Construct a diagonal scale of 30mm equal to 1m 4m long to read to 10mm.14. Construct a diagonal scale of 50mm equal to 1mm, 3mm long to read 0.01mm.15. Construct a diagonal scale of 40mm to represent 1m to read down to 10mm to cover a range of 5m.16. Construct a diagonal scale of 25mm equal to 1m which can be used to measure m and 10mm up to 8m.

Use the scale above to construct a quadrilateral abcd. Base ab = 4m720mm, bc = 3m530mm, ad = 4m170mm, angles abc = 1200, adc = 900. Measure, to the nearest 10mm, the vertical height of the quadrilateral and the lengths of the diagonals.

17. Construct a diagonal scale of ten times full size to show mm and tenths of a mm to read to a maximum of 20mm.Using the scale above, construct a triangle abc with ab = 17.4mm, bc = 13.8mm and ac = 11mm.

18. Construct a diagonal scale, 50mm = 1mm, 3mm long to read to 1/100th 0f a mm.

19. Construct a diagonal scale, 30mm = 1m, 4m long to read to 10mm.20. Construct a diagonal scale of 20mm = 10mm, 60mm long to read to 0.1mm.21. Construct a diagonal scale of 1:1000 that is accurate to two decimal places to give a maximum reading of

300m.22. A science department at school requires a suitable scale for measuring lengths of steel rod, to a maximum

length of 200mm. The scale should be accurate to within 0.1mm. Construct the scale.