Apps. and Interpretation for IBDP Maths Ebook 1 | Page 16

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 2
1.
x y
B �
cos(90 � z)
, where x � 1.125 , y � 1.5625 and z � 30 .
(a) Calculate the exact value of B .
(b) Give your answer to B correct to three significant figures.
(c) Write down an inequality representing the error interval of this estimate.
Julie estimates the value of B to be 2.84.
[1]
[1]
[2]
(d)
Calculate the percentage error in Julie’s estimate.
[2]
2. The lengths of the four sides of a quadrilateral are 5.278 cm, 4.812 cm, 4.118 cm and
3.756 cm respectively.
(a)
Calculate the exact perimeter of the quadrilateral.
The lengths of all four sides are estimated by rounding off, correct to 1 decimal place.
[2]
(b)
(c)
Write down the upper bound and the lower bound of the error interval of the
estimate of the longest side.
Calculate the percentage error in the estimate of the perimeter.
[2]
[2]
3. The dimensions of a rectangular snack box are 15.75 cm, 8.95 cm and 7.15 cm.
(a)
Calculate the exact volume of the box.
The lengths of all sides of the box are estimated by rounding off, correct to the nearest
cm.
[2]
(b)
(c)
Write down the upper bound and the lower bound of the error interval of the
estimate of the shortest side.
Calculate the percentage error in the estimate of the volume.
[2]
[2]
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