Math Igcse Proportions

Math Igcse Proportions

11th Grade

9 Qs

quiz-placeholder

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Math Igcse Proportions

Math Igcse Proportions

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Easy

Created by

AIRIS ACADEMY

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9 questions

Show all answers

1.

DRAW QUESTION

3 mins • Ungraded

A spray can is used to paint a wall.

The thickness of the paint on the wall is t. The distance of the spray can from the wall is d.

t is inversely proportional to the square of d.

t = 0.2 when d = 8.

Find t when d = 10.

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2.

DRAW QUESTION

3 mins • Ungraded

The quantity p varies inversely as the square of (q + 2).

p = 5 when q = 3.

Find p when q = 8.

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3.

DRAW QUESTION

3 mins • Ungraded

The quantity y varies as the cube of (x + 2).

y = 32 when x = 0.

Find y when x = 1.

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4.

DRAW QUESTION

3 mins • Ungraded

The wavelength, w, of a radio signal is inversely proportional to its frequency, f. When f = 200, w = 1500.

(a) Find an equation connecting f and w.

(b) Find the value of f when w = 600.

 

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5.

DRAW QUESTION

3 mins • Ungraded

The force of attraction (F) between two objects is inversely proportional to the square of the distance (d) between them.

When d = 4, F = 30.

Calculate F when d = 8.

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6.

DRAW QUESTION

15 mins • Ungraded

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7.

DRAW QUESTION

5 mins • Ungraded

(i) The actual distance between Cairo and Khartoum is 1580 km.

On a different map this distance is represented by 31.6 cm.

Calculate, in the form 1 : n, the scale of this map.

(ii) A plane flies the 1580 km from Cairo to Khartoum.

It departs from Cairo at 11 55 and arrives in Khartoum at 14 03.

Calculate the average speed of the plane, in kilometres per hour.

 

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8.

DRAW QUESTION

3 mins • Ungraded

Vreni took part in a charity walk.

She walked a distance of 20 kilometres.

On a map, the distance of 20 kilometres was represented by a length of 80 centimetres.

The scale of the map was 1 : n.

Calculate the value of n.

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9.

DRAW QUESTION

3 mins • Ungraded

The scale of a map is 1:20 000 000.

On the map, the distance between Cairo and Addis Ababa is 12 cm.

(i) Calculate the distance, in kilometres, between Cairo and Addis Ababa.

(ii) On the map the area of a desert region is 13 square centimetres.

Calculate the actual area of this desert region, in square kilometres.

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