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IB Mathematics: Applications and Interpretation HL · 12.2: Finance · 12.2.4

Name Date

Rounding, bounds and percentage error Problem set A

Work in your exercise book. Keep full calculator values until the last step.

Difficulty: first skills applying them stretch

Skills

  1. Round each number as asked.

    1. (a) 3.14159 to 2 decimal places
    2. (b) 0.006083 to 2 significant figures
    3. (c) 45 678 to 3 significant figures
    4. (d) 19.96 to 1 decimal place

  2. Find the percentage error, to 3 significant figures.

    1. (a) Using \(\frac{22}{7}\) for \(\pi\)
    2. (b) An estimate of 150 for a true value of 147.2

  3. Write an inequality for the possible values of each rounded number.

    1. (a) 8.4, to 1 decimal place
    2. (b) 250, to the nearest 10
    3. (c) 0.37, to 2 decimal places
    4. (d) 6000, to 2 significant figures

In context

  1. A rectangle measures 9.3 cm by 4.7 cm, each to 1 decimal place. Find (a) the upper bound of its area, (b) the lower bound of its perimeter.

  2. A runner covers 200 m, to the nearest 10 m, in 24.6 s, to the nearest 0.1 s. Find the lower bound of the average speed.

  3. A jogger estimates a route as 5 km. It is really 5.3 km. Find the percentage error in the estimate.

Stretch

  1. The side of a square is 12 cm, to the nearest centimetre. Find the maximum percentage error in the area if 12 cm is used.

jmaths.xyz · AI HL · 12.2.4 Rounding and percentage error