Estimation and Limits of Accuracy

32.
(a) By first rounding each value to one significant figure, estimate the value of:
33.94 × 0.00772 1 3 1.76
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(b) It is given that 53=1.7, 503=3.7, and 5003=7.9. Find the value of 0.0053.
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Paper 1
33.
By rounding each number to one significant figure, estimate:
2.45+2.1×4.61.71
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Paper 1
34.
By rounding each number to one significant figure, estimate the value of:
410×6.780.23
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Paper 1
35.
(a) The number of people at a football match is 27359. Write the number to one significant figure.
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(b) The number of people who sat in stand A is 2500 correct to two significant figures. Find the largest number of people that could have sat in stand A.
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Paper 1
36.
The side of a square is given as 9 m, correct to the nearest centimetre. Find the least possible value of the side.
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Paper 1
37.
(a) Express the ratio 400 cm to 1 km in its simplest form.
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(b) Write the numbers in order of size, starting with the smallest:
12, 0.22, 0.25, 0.04
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Paper 1
38.
Arrange the following in order of size, starting with the smallest.
512     0.25     16     23
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Paper 1
39.
Arrange the following numbers in order starting with the smallest:
1.33, 1.32, 43, 130%
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Paper 1
40.
Arrange the number in order of size, starting with the smallest:
47, 23, 0.67, 0.667
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Paper 1
41.
The population of Lesotho is approximately 1 870 000.
(a) Write 1 870 000 to the nearest million.
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(b) Write 1 870 000 in standard form.
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Paper 1
43.
The length of a field is 80 m measured correct to the nearest metre. Find the maximum possible length of the field.
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Paper 1
45.
The distance, d, from home to school is 850 metres correct to the nearest 10 m. Find the upper and the lower bound of the distance.
Upper bound: ......................... Lower bound: .........................
Paper 1
46.
Write 298 correct to 2 significant figures.
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Paper 1
21.
The population, P, of a small island was 6380, correct to the nearest 10.
Complete the statements about the limits of P.
......................... ≤ P < ......................... [2]
Paper 3