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The length of a piece of string has been rounded to 7cm. What is the shortest and longest it could have been before rounding? 7cm6cm8cm 6.5cm7.5cm Upper and Lower Bounds
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Geometry and MeasuresUpper and Lower Bounds
Grade 5
Complete the rounding table:
Task on Entry - Rounding
1 dp 2 dp 1 sf 2 sf
32.743
456.736
3.4782
19.9287
12.371
0.05950.0600.060.060.1
121012.3712.4
202019.9319.9
3.533.483.5
460500456.74456.7
333032.7432.7
• The length of a piece of string has been rounded to 7cm.
• What is the shortest and longest it could have been before rounding?
7cm6cm 8cm
6.5cm 7.5cm
Upper and Lower Bounds
• The width of a football pitch is 76.2 yards, to one decimal place.
• What is the widest and narrowest the pitch could be?
76.2 yards76.1 yards 76.3 yards
76.15 yards 76.25 yards
Upper and Lower Bounds
• A roof tile weighs 54.23g, correct to 2 decimal places.
• What is the minimum possible weight of 30 tiles?
54.23g54.22g 54.24g
54.225g 54.235g
Upper and Lower Bounds
54.225 x 30
= 1626.75g
= 1.6kg (1dp)
A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is:
a) Its smallest possible area?b) Its biggest possible area?
8cm
6cm
Applying Upper and Lower Bounds
A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is:
a) Its smallest possible area?
= 7.5cm x 5.5cm= 41.25cm² (2dp)
8cm
6cm
Upper and Lower Bounds
A postcard measures 8cm by 6cm, to the nearest whole centimetre. What is:
b) Its biggest possible area?
= 8.5cm x 6.5cm= 55.25cm² (2dp)
8cm
6cm
Upper and Lower Bounds
Independent Task
Further Bounds
1.84cm
2.25cm
Further Bounds
Work out the maximum and minimum dimensions of the shape…
Further Bounds
Using these dimensions, work out the maximum and minimum values for the area
Further Bounds
Calculating the maximum possible error…
Further Bounds
Calculating the maximum possible error…
Independent Task
Further Bounds
Calculate the maximum and minimum dimensions
Further Bounds
Calculate all the possible volumes
Further Bounds
Calculate the maximum possible error…
Stretch and Challenge