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Exercises in Chapter 10 direct and inverse proportions Grade 8

Questions in Direct and Inverse Proportions - Exercise

In which of the following case, do the quantities vary directly with each other?

(a)

X | 0.5 | 2 | 8 | 32 |
---|---|---|---|---|

Y | 2 | 8 | 32 | 128 |

(b)

p | 1^2 | 2^2 | 3^2 | 4^2 |
---|---|---|---|---|

q | 1^3 | 2^3 | 3^3 | 4^3 |

(c)

r | 2 | 5 | 10 | 25 | 50 |
---|---|---|---|---|---|

s | 25 | 10 | 5 | 2 | 0.5 |

(d)

u | 2 | 4 | 6 | 9 | 12 |
---|---|---|---|---|---|

v | 18 | 9 | 6 | 4 | 3 |

When two quantities x and y are in _________ proportion or vary _________ they are written as x ∝ y.

If x varies inversely as y, then

X | - | 60 |
---|---|---|

Y | 2 | 10 |

If x varies directly as y, then

X | 12 | 6 |
---|---|---|

Y | 48 | - |

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