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30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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There are **8** NRICH Mathematical resources connected to **Rates of change**, you may find related items under Calculus.

Problem
Primary curriculum
Secondary curriculum
### Immersion

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Differential Equation Matcher

Match the descriptions of physical processes to these differential equations.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Quick Route

What is the quickest route across a ploughed field when your speed around the edge is greater?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Reaction Types

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Jumping Gerbils

A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### An Average Average Speed

My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

Age 14 to 16

Challenge Level

Article
Primary curriculum
Secondary curriculum
### An Introduction to Differentiation

An article introducing the ideas of differentiation.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### Lap Times

Can you find the lap times of the two cyclists travelling at constant speeds?

Age 14 to 16

Challenge Level