Simultaneous equations

There are 55 NRICH Mathematical resources connected to Simultaneous equations
Warmsnug Double Glazing
problem

Warmsnug Double Glazing

Age
14 to 16
Challenge level
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How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Table Height
problem

Table Height

Age
14 to 16
Challenge level
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A table has blocks of wood placed on and next to it. Can you work out how tall it is?
Day of the Triffids
problem

Day of the Triffids

Age
14 to 16
Challenge level
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Jasmine buys three different types of plant. How many triffids did she buy?
Walls
problem

Walls

Age
16 to 18
Challenge level
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Plane 1 contains points A, B and C and plane 2 contains points A and B. Find all the points on plane 2 such that the two planes are perpendicular.
Arithmagons
problem

Arithmagons

Age
11 to 16
Challenge level
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Can you find the values at the vertices when you know the values on the edges?
Nine, Ten and One
problem

Nine, Ten and One

Age
11 to 14
Challenge level
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Can you find the value of t in these equations?
Double time
problem

Double time

Age
16 to 18
Challenge level
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Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.
Children at Large
problem

Children at Large

Age
11 to 14
Challenge level
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There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?
Sweet Shop
problem

Sweet Shop

Age
11 to 14
Challenge level
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Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.