Simultaneous Equations Starters:Boxing Day: Work out the contents and the cost of the Christmas boxes from the given clues Oblongs: Find the dimensions of a rectangle given the perimeter and area. Pentadd: Five numbers are added together in pairs and the sums shown. What might the five numbers be? Planet Numpair: The sum and product are given, can you find the two numbers? Rabbits and Chickens: There are some rabbits and chickens in a field. Calculate how many of each given the number of heads and feet. Rail Weigh: Record the weights of the trains to work out the weight of a locomotive and a coach. A real situation which produces simultaneous equations. Refreshing Revision: It is called Refreshing Revision because every time you refresh the page you get different revision questions. Same Same: A problem involving two people's ages which can be solved using algebra. Santa's Sleigh: Work out the number of clowns and horses given the number of heads and feet. Simultaneous Occasions: A problem which can best be solved as a pair of simultaneous equations. Sum of the Signs: Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for? Summer Holidays: There are some children and donkeys on a beach. Together they have 25 heads and 64 legs. How many children? How many donkeys? Two Numbers: Find the two numbers whose sum and product are given. Advanced Simultaneous Equations Starters
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Notes:This topic covers simultaneous equations with two different variables. The starters pose real world problems which can be solved using the techniques taught at school or by other intuitive methods. Simultaneous Equations Activities:Algebra In Action: Real life problems adapted from an old Mathematics textbook which can be solved using algebra. Area and Perimeter of a Rectangle: Questions on the areas and perimeters of rectangles which will test your problem solving abilities. Pentadd Quiz: Find the five numbers which when added or multiplied together in pairs to produce the given sums or products. Recurring Decimals: Change recurring decimals into their corresponding fractions and vica versa. Simultaneous Equations: A series of exercises, increasing in difficulty, about simultaneous equations. Simultaneous Solutions: Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions. Using Graphs: Use the graphs provided to solve both simultaneous and quadratic equations. Window View: Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Simultaneous Equations Investigations:Window View: Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Simultaneous Equations Videos:Simultaneous Equations (Elimination): This video demonstrates how to solve simultaneous equations by elimination. Simultaneous Equations (Substitution): This video demonstrates how to solve simultaneous equations by substitution. Simultaneous Equations Worksheets:Simultaneous Equations Extension Exercise: An exercise that appeared in an algebra book published in 1895. It starts with basic questions but soon gets tricky! Simultaneous Equations External Links:Links to other websites containing resources for Simultaneous Equations are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.
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