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Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

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1. Related rates

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettings
Name ______________________Date ____________Score ____ / 12

Related rates practice

Related rates · 1–12

Find the rate. Give answers with π in terms of π.

Easy
1.The side of a square grows at 1 cm/s. How fast is its area growing when the side is 8 cm?
Easy
2.The side of a square grows at 4 cm/s. How fast is its area growing when the side is 12 cm?
Easy
3.The side of a square grows at 1 cm/s. How fast is its area growing when the side is 2 cm?
Easy
4.The side of a square grows at 1 cm/s. How fast is its area growing when the side is 7 cm?
Easy
5.The side of a square grows at 5 cm/s. How fast is its area growing when the side is 4 cm?
Easy
6.The side of a square grows at 4 cm/s. How fast is its area growing when the side is 5 cm?
Easy
7.The side of a square grows at 4 cm/s. How fast is its area growing when the side is 2 cm?
Easy
8.The side of a square grows at 5 cm/s. How fast is its area growing when the side is 8 cm?
Easy
9.The side of a square grows at 2 cm/s. How fast is its area growing when the side is 12 cm?
Easy
10.The side of a square grows at 5 cm/s. How fast is its area growing when the side is 6 cm?
Easy
11.The side of a square grows at 3 cm/s. How fast is its area growing when the side is 10 cm?
Easy
12.The side of a square grows at 2 cm/s. How fast is its area growing when the side is 8 cm?

Answer key — Related rates practice

Related rates

1.16 cm2/s
2.96 cm2/s
3.4 cm2/s
4.14 cm2/s
5.40 cm2/s
6.40 cm2/s
7.16 cm2/s
8.80 cm2/s
9.48 cm2/s
10.60 cm2/s
11.60 cm2/s
12.32 cm2/s

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