Resources tagged with: Simultaneous equations
There are 50 NRICH Mathematical resources connected to Simultaneous equations, you may find related items under Algebraic expressions, equations and formulae.
Broad Topics > Algebraic expressions, equations and formulae > Simultaneous equations
Fruity Totals
In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?
Multiplication Arithmagons
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
Which Is Bigger?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
Which Is Cheaper?
When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?
Negatively Triangular
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
Matchless
There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?
Intersections
Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?
Warmsnug Double Glazing
How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?
Arithmagons
Can you find the values at the vertices when you know the values on the edges?
Children at Large
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
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.
Leonardo's Problem
A, B & C own a half, a third and a sixth of a coin collection. Each grab some coins, return some, then share equally what they had put back, finishing with their own share. How rich are they?
What's it Worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?
Letter Land
If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.
CD Heaven
All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?
Surds
Find the exact values of x, y and a satisfying the following system of equations: 1/(a+1) = a - 1 x + y = 2a x = ay
System Speak
Five equations... five unknowns... can you solve the system?
Always Two
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
Quadratic Harmony
Find all positive integers a and b for which the two equations: x^2-ax+b = 0 and x^2-bx+a = 0 both have positive integer solutions.
Graphs of Changing Areas
Use graphs to gain insights into an area and perimeter problem, or use your knowledge of area and perimeter to gain insights into the graphs...
Cobalt Decay
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
LCM Sudoku II
You are given the Lowest Common Multiples of sets of digits. Find the digits and then solve the Sudoku.
Addition Equation Sudoku
You need to find the values of the stars before you can apply normal Sudoku rules.
Another Quadruple Clue Sudoku
This is a variation of sudoku which contains a set of special clue-numbers. Each set of 4 small digits stands for the numbers in the four cells of the grid adjacent to this set.
Colour Islands Sudoku
An extra constraint means this Sudoku requires you to think in diagonals as well as horizontal and vertical lines and boxes of nine.
Quadruple Clue Sudoku
Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.
All-variables Sudoku
The challenge is to find the values of the variables if you are to solve this Sudoku.
Simultaneous Equations Sudoku
Solve the equations to identify the clue numbers in this Sudoku problem.
Walls
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.
Double Time
Crack this code which depends on taking pairs of letters and using two simultaneous relations and modulus arithmetic to encode the message.
How Many Balls?
A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
A Method of Defining Coefficients in the Equations of Chemical Reactions
A simple method of defining the coefficients in the equations of chemical reactions with the help of a system of linear algebraic equations.
Pareq Calc
Triangle ABC is an equilateral triangle with three parallel lines going through the vertices. Calculate the length of the sides of the triangle if the perpendicular distances between the parallel lines are 1 unit and 2 units.
Symmetricality
Five equations and five unknowns. Is there an easy way to find the unknown values?
Whole Numbers Only
Can you work out how many of each kind of pencil this student bought?
Not a Polite Question
When asked how old she was, the teacher replied: My age in years is not prime but odd and when reversed and added to my age you have a perfect square...
Coffee
To make 11 kilograms of this blend of coffee costs £15 per kilogram. The blend uses more Brazilian, Kenyan and Mocha coffee... How many kilograms of each type of coffee are used?
Escriptions
For any right-angled triangle find the radii of the three escribed circles touching the sides of the triangle externally.
Pair Squares
The sum of any two of the numbers 2, 34 and 47 is a perfect square. Choose three square numbers and find sets of three integers with this property. Generalise to four integers.
Gift of Gems
Four jewellers share their stock. Can you work out the relative values of their gems?
Polycircles
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
Rudolff's Problem
A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?
Building Tetrahedra
Can you make a tetrahedron whose faces all have the same perimeter?
Overturning Fracsum
Can you solve the system of equations to find the values of x, y and z?
Real(ly) Numbers
If x, y and z are real numbers such that: x + y + z = 5 and xy + yz + zx = 3. What is the largest value that any of the numbers can have?