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Resources tagged with Calculating with ratio & proportion similar to Inspect Your Gadgets:

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Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Calculating with ratio & proportion

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Diamonds Aren't Forever

Stage: 5 Challenge Level: Challenge Level:1

Ever wondered what it would be like to vaporise a diamond? Find out inside...

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Eudiometry

Stage: 5 Challenge Level: Challenge Level:1

When a mixture of gases burn, will the volume change?

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Gassy Information

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Do each of these scenarios allow you fully to deduce the required facts about the reactants?

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Striking Gold

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Investigate some of the issues raised by Geiger and Marsden's famous scattering experiment in which they fired alpha particles at a sheet of gold.

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Extreme Dissociation

Stage: 5 Challenge Level: Challenge Level:1

In this question we push the pH formula to its theoretical limits.

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Why Multiply When You're about to Divide?

Stage: 5 Challenge Level: Challenge Level:1

A brief introduction to PCR and restriction mapping, with relevant calculations...

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Eight Ratios

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Two perpendicular lines lie across each other and the end points are joined to form a quadrilateral. Eight ratios are defined, three are given but five need to be found.

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Mixed up Mixture

Stage: 4 Challenge Level: Challenge Level:1

Can you fill in the mixed up numbers in this dilution calculation?

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Conversion Sorter

Stage: 4 Challenge Level: Challenge Level:1

Can you break down this conversion process into logical steps?

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Dilution Series Calculator

Stage: 4 Challenge Level: Challenge Level:1

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

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Investigating the Dilution Series

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Which dilutions can you make using only 10ml pipettes?

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Half a Triangle

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

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Exact Dilutions

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Which exact dilution ratios can you make using only 2 dilutions?

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Wedge on Wedge

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two right-angled triangles are connected together as part of a structure. An object is dropped from the top of the green triangle where does it pass the base of the blue triangle?

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The Fastest Cyclist

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?

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Nutrition and Cycling

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

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Plane to See

Stage: 5 Challenge Level: Challenge Level:1

P is the midpoint of an edge of a cube and Q divides another edge in the ratio 1 to 4. Find the ratio of the volumes of the two pieces of the cube cut by a plane through PQ and a vertex.

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Burning Down

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

One night two candles, one of which was 3 cm longer than the other were lit. The longer one was lit at 5.30 pm and the shorter one at 7 pm. At 9.30 pm they were both the same length. The longer. . . .

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Make Your Own Solar System

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Making a scale model of the solar system

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Using the Haemocytometer

Stage: 4 Challenge Level: Challenge Level:1

Practise your skills of proportional reasoning with this interactive haemocytometer.

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Roasting Old Chestnuts 3

Stage: 3 and 4

Mainly for teachers. More mathematics of yesteryear.

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Conical Bottle

Stage: 4 Challenge Level: Challenge Level:1

A right circular cone is filled with liquid to a depth of half its vertical height. The cone is inverted. How high up the vertical height of the cone will the liquid rise?

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Halving the Triangle

Stage: 5 Challenge Level: Challenge Level:1

Draw any triangle PQR. Find points A, B and C, one on each side of the triangle, such that the area of triangle ABC is a given fraction of the area of triangle PQR.

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Two Ladders

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Two ladders are propped up against facing walls. The end of the first ladder is 10 metres above the foot of the first wall. The end of the second ladder is 5 metres above the foot of the second. . . .

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Golden Ratio

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Solve an equation involving the Golden Ratio phi where the unknown occurs as a power of phi.

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Areas and Ratios

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What is the area of the quadrilateral APOQ? Working on the building blocks will give you some insights that may help you to work it out.

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At a Glance

Stage: 4 Challenge Level: Challenge Level:1

The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?

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Contact

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

A circular plate rolls in contact with the sides of a rectangular tray. How much of its circumference comes into contact with the sides of the tray when it rolls around one circuit?

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A Shade Crossed

Stage: 4 Challenge Level: Challenge Level:1

Find the area of the shaded region created by the two overlapping triangles in terms of a and b?

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Five Circuits, Seven Spins

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

A circular plate rolls inside a rectangular tray making five circuits and rotating about its centre seven times. Find the dimensions of the tray.

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Gift of Gems

Stage: 4 Challenge Level: Challenge Level:1

Four jewellers possessing respectively eight rubies, ten saphires, a hundred pearls and five diamonds, presented, each from his own stock, one apiece to the rest in token of regard; and they. . . .

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Chord

Stage: 5 Challenge Level: Challenge Level:1

Equal touching circles have centres on a line. From a point of this line on a circle, a tangent is drawn to the farthest circle. Find the lengths of chords where the line cuts the other circles.

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Arrh!

Stage: 4 Challenge Level: Challenge Level:1

Triangle ABC is equilateral. D, the midpoint of BC, is the centre of the semi-circle whose radius is R which touches AB and AC, as well as a smaller circle with radius r which also touches AB and AC. . . .

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Bus Stop

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .

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Napoleon's Hat

Stage: 5 Challenge Level: Challenge Level:1

Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?