text: # Search by Topic
  
  #### Resources tagged with Area similar to Working with Dinosaurs:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ##### Other tags that relate to Working with Dinosaurs
  Length/distance. Clock. Interactivities. Area. Visualising. Mass and weight. Working systematically. Speed. Investigations. Time.
  
  ### There are 86 results
  
  Broad Topics > Measures and Mensuration > Area
  
  ### Triangle Relations
  
  ##### Stage: 2 Challenge Level:
  
  What do these two triangles have in common? How are they related?
  
  ### Rope Mat
  
  ##### Stage: 2 Challenge Level:
  
  How many centimetres of rope will I need to make another mat just like the one I have here?
  
  ### More Transformations on a Pegboard
  
  ##### Stage: 2 Challenge Level:
  
  Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
  
  ### Overlapping Squares
  
  ##### Stage: 2 Challenge Level:
  
  Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.
  
  ### Torn Shapes
  
  ##### Stage: 2 Challenge Level:
  
  These rectangles have been torn. How many squares did each one have inside it before it was ripped?
  
  ### Fit These Shapes
  
  ##### Stage: 1 and 2 Challenge Level:
  
  What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
  
  ##### Stage: 3 Challenge Level:
  
  Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
  
  ### Tiles on a Patio
  
  ##### Stage: 2 Challenge Level:
  
  How many ways can you find of tiling the square patio, using square tiles of different sizes?
  
  ### Two Squared
  
  ##### Stage: 2 Challenge Level:
  
  What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
  
  ### All in a Jumble
  
  ##### Stage: 3 Challenge Level:
  
  My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
  
  ### Circle Panes
  
  ##### Stage: 2 Challenge Level:
  
  Look at the mathematics that is all around us - this circular window is a wonderful example.
  
  ### Great Squares
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
  
  ### Fencing
  
  ##### Stage: 2 Challenge Level:
  
  Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
  
  ### A Day with Grandpa
  
  ##### Stage: 2 Challenge Level:
  
  Grandpa was measuring a rug using yards, feet and inches. Can you help William to work out its area?
  
  ### Shaping It
  
  ##### Stage: 1 and 2 Challenge Level:
  
  These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
  
  ### Dicey Perimeter, Dicey Area
  
  ##### Stage: 2 Challenge Level:
  
  In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
  
  ### My New Patio
  
  ##### Stage: 2 Challenge Level:
  
  What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
  
  ### Uncanny Triangles
  
  ##### Stage: 2 Challenge Level:
  
  Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
  
  ### Wrapping Presents
  
  ##### Stage: 2 Challenge Level:
  
  Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
  
  ### Fencing Lambs
  
  ##### Stage: 2 Challenge Level:
  
  A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
  
  ### Isosceles Triangles
  
  ##### Stage: 3 Challenge Level:
  
  Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
  
  ### Through the Window
  
  ##### Stage: 2 Challenge Level:
  
  My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
  
  ### Fence It
  
  ##### Stage: 3 Challenge Level:
  
  If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
  
  ### Inside Seven Squares
  
  ##### Stage: 2 Challenge Level:
  
  What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
  
  ### Cutting it Out
  
  ##### Stage: 1 and 2 Challenge Level:
  
  I cut this square into two different shapes. What can you say about the relationship between them?
  
  ### Making Boxes
  
  ##### Stage: 2 Challenge Level:
  
  Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
  
  ### Shape Draw
  
  ##### Stage: 2 Challenge Level:
  
  Use the information on these cards to draw the shape that is being described.
  
  ### Area and Perimeter
  
  ##### Stage: 2 Challenge Level:
  
  What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
  
  ### An Unusual Shape
  
  ##### Stage: 3 Challenge Level:
  
  Can you maximise the area available to a grazing goat?
  
  ### Triangle Island
  
  ##### Stage: 2 Challenge Level:
  
  You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle making sure you obey the rules?
  
  ### Different Sizes
  
  ##### Stage: 1 and 2 Challenge Level:
  
  A simple visual exploration into halving and doubling.
  
  ### Dissect
  
  ##### Stage: 3 Challenge Level:
  
  It is possible to dissect any square into smaller squares. What is the minimum number of squares a 13 by 13 square can be dissected into?
  
  ### Geoboards
  
  ##### Stage: 2 Challenge Level:
  
  This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
  
  ### Making Squares
  
  ##### Stage: 2 Challenge Level:
  
  Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
  
  ### Framed
  
  ##### Stage: 3 Challenge Level:
  
  Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of. . . .
  
  ### From One Shape to Another
  
  ##### Stage: 2
  
  Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.
  
  ### Tiling
  
  ##### Stage: 2 Challenge Level:
  
  An investigation that gives you the opportunity to make and justify predictions.
  
  ### A Square in a Circle
  
  ##### Stage: 2 Challenge Level:
  
  What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
  
  ### Numerically Equal
  
  ##### Stage: 2 Challenge Level:
  
  Can you draw a square in which the perimeter is numerically equal to the area?
  
  ### Rati-o
  
  ##### Stage: 3 Challenge Level:
  
  Points P, Q, R and S each divide the sides AB, BC, CD and DA respectively in the ratio of 2 : 1. Join the points. What is the area of the parallelogram PQRS in relation to the original rectangle?
  
  ### Transformations on a Pegboard
  
  ##### Stage: 2 Challenge Level:
  
  How would you move the bands on the pegboard to alter these shapes?
  
  ### Inscribed in a Circle
  
  ##### Stage: 3 Challenge Level:
  
  The area of a square inscribed in a circle with a unit radius is, satisfyingly, 2. What is the area of a regular hexagon inscribed in a circle with a unit radius?
  
  ### Tilted Squares
  
  ##### Stage: 3 Challenge Level:
  
  It's easy to work out the areas of most squares that we meet, but what if they were tilted?
  
  ### Fitted
  
  ##### Stage: 2 Challenge Level:
  
  Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
  
  ### Disappearing Square
  
  ##### Stage: 3 Challenge Level:
  
  Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
  
  ### Shear Magic
  
  ##### Stage: 3 Challenge Level:
  
  What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
  
  ### Extending Great Squares
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Explore one of these five pictures.
  
  ### Muggles Magic
  
  ##### Stage: 3 Challenge Level:
  
  You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.
  
  ### Tiles in the Garden
  
  ##### Stage: 2 Challenge Level:
  
  How many tiles do we need to tile these patios?
explanation: The document is a collection of math problems and activities related to the topic of area, suitable for primary and secondary school students. It includes various problems and investigations that involve calculating and understanding the area of different shapes, such as triangles, rectangles, and circles. The problems range from simple to more complex, and some include interactive elements or practical activities.
  
  The document does not contain a single question and answer but rather multiple questions and activities related to the topic of area.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Search by Topic
  
  #### Resources tagged with Area similar to Working with Dinosaurs:
  
  Filter by: Content type:
  Stage:
  Challenge level:
  
  ##### Other tags that relate to Working with Dinosaurs
  Length/distance. Clock. Interactivities. Area. Visualising. Mass and weight. Working systematically. Speed. Investigations. Time.
  
  ### There are 86 results
  
  Broad Topics > Measures and Mensuration > Area
  
  ### Triangle Relations
  
  ##### Stage: 2 Challenge Level:
  
  What do these two triangles have in common? How are they related?
  
  ### Rope Mat
  
  ##### Stage: 2 Challenge Level:
  
  How many centimetres of rope will I need to make another mat just like the one I have here?
  
  ### More Transformations on a Pegboard
  
  ##### Stage: 2 Challenge Level:
  
  Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
  
  ### Overlapping Squares
  
  ##### Stage: 2 Challenge Level:
  
  Have a good look at these images. Can you describe what is happening? There are plenty more images like this on NRICH's Exploring Squares CD.
  
  ### Torn Shapes
  
  ##### Stage: 2 Challenge Level:
  
  These rectangles have been torn. How many squares did each one have inside it before it was ripped?
  
  ### Fit These Shapes
  
  ##### Stage: 1 and 2 Challenge Level:
  
  What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?
  
  ##### Stage: 3 Challenge Level:
  
  Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
  
  ### Tiles on a Patio
  
  ##### Stage: 2 Challenge Level:
  
  How many ways can you find of tiling the square patio, using square tiles of different sizes?
  
  ### Two Squared
  
  ##### Stage: 2 Challenge Level:
  
  What happens to the area of a square if you double the length of the sides? Try the same thing with rectangles, diamonds and other shapes. How do the four smaller ones fit into the larger one?
  
  ### All in a Jumble
  
  ##### Stage: 3 Challenge Level:
  
  My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.
  
  ### Circle Panes
  
  ##### Stage: 2 Challenge Level:
  
  Look at the mathematics that is all around us - this circular window is a wonderful example.
  
  ### Great Squares
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Investigate how this pattern of squares continues. You could measure lengths, areas and angles.
  
  ### Fencing
  
  ##### Stage: 2 Challenge Level:
  
  Arrange your fences to make the largest rectangular space you can. Try with four fences, then five, then six etc.
  
  ### A Day with Grandpa
  
  ##### Stage: 2 Challenge Level:
  
  Grandpa was measuring a rug using yards, feet and inches. Can you help William to work out its area?
  
  ### Shaping It
  
  ##### Stage: 1 and 2 Challenge Level:
  
  These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.
  
  ### Dicey Perimeter, Dicey Area
  
  ##### Stage: 2 Challenge Level:
  
  In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?
  
  ### My New Patio
  
  ##### Stage: 2 Challenge Level:
  
  What is the smallest number of tiles needed to tile this patio? Can you investigate patios of different sizes?
  
  ### Uncanny Triangles
  
  ##### Stage: 2 Challenge Level:
  
  Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?
  
  ### Wrapping Presents
  
  ##### Stage: 2 Challenge Level:
  
  Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.
  
  ### Fencing Lambs
  
  ##### Stage: 2 Challenge Level:
  
  A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
  
  ### Isosceles Triangles
  
  ##### Stage: 3 Challenge Level:
  
  Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
  
  ### Through the Window
  
  ##### Stage: 2 Challenge Level:
  
  My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
  
  ### Fence It
  
  ##### Stage: 3 Challenge Level:
  
  If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
  
  ### Inside Seven Squares
  
  ##### Stage: 2 Challenge Level:
  
  What is the total area of the four outside triangles which are outlined in red in this arrangement of squares inside each other?
  
  ### Cutting it Out
  
  ##### Stage: 1 and 2 Challenge Level:
  
  I cut this square into two different shapes. What can you say about the relationship between them?
  
  ### Making Boxes
  
  ##### Stage: 2 Challenge Level:
  
  Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
  
  ### Shape Draw
  
  ##### Stage: 2 Challenge Level:
  
  Use the information on these cards to draw the shape that is being described.
  
  ### Area and Perimeter
  
  ##### Stage: 2 Challenge Level:
  
  What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
  
  ### An Unusual Shape
  
  ##### Stage: 3 Challenge Level:
  
  Can you maximise the area available to a grazing goat?
  
  ### Triangle Island
  
  ##### Stage: 2 Challenge Level:
  
  You have pitched your tent (the red triangle) on an island. Can you move it to the position shown by the purple triangle making sure you obey the rules?
  
  ### Different Sizes
  
  ##### Stage: 1 and 2 Challenge Level:
  
  A simple visual exploration into halving and doubling.
  
  ### Dissect
  
  ##### Stage: 3 Challenge Level:
  
  It is possible to dissect any square into smaller squares. What is the minimum number of squares a 13 by 13 square can be dissected into?
  
  ### Geoboards
  
  ##### Stage: 2 Challenge Level:
  
  This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
  
  ### Making Squares
  
  ##### Stage: 2 Challenge Level:
  
  Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
  
  ### Framed
  
  ##### Stage: 3 Challenge Level:
  
  Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of. . . .
  
  ### From One Shape to Another
  
  ##### Stage: 2
  
  Read about David Hilbert who proved that any polygon could be cut up into a certain number of pieces that could be put back together to form any other polygon of equal area.
  
  ### Tiling
  
  ##### Stage: 2 Challenge Level:
  
  An investigation that gives you the opportunity to make and justify predictions.
  
  ### A Square in a Circle
  
  ##### Stage: 2 Challenge Level:
  
  What shape has Harry drawn on this clock face? Can you find its area? What is the largest number of square tiles that could cover this area?
  
  ### Numerically Equal
  
  ##### Stage: 2 Challenge Level:
  
  Can you draw a square in which the perimeter is numerically equal to the area?
  
  ### Rati-o
  
  ##### Stage: 3 Challenge Level:
  
  Points P, Q, R and S each divide the sides AB, BC, CD and DA respectively in the ratio of 2 : 1. Join the points. What is the area of the parallelogram PQRS in relation to the original rectangle?
  
  ### Transformations on a Pegboard
  
  ##### Stage: 2 Challenge Level:
  
  How would you move the bands on the pegboard to alter these shapes?
  
  ### Inscribed in a Circle
  
  ##### Stage: 3 Challenge Level:
  
  The area of a square inscribed in a circle with a unit radius is, satisfyingly, 2. What is the area of a regular hexagon inscribed in a circle with a unit radius?
  
  ### Tilted Squares
  
  ##### Stage: 3 Challenge Level:
  
  It's easy to work out the areas of most squares that we meet, but what if they were tilted?
  
  ### Fitted
  
  ##### Stage: 2 Challenge Level:
  
  Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
  
  ### Disappearing Square
  
  ##### Stage: 3 Challenge Level:
  
  Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
  
  ### Shear Magic
  
  ##### Stage: 3 Challenge Level:
  
  What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
  
  ### Extending Great Squares
  
  ##### Stage: 2 and 3 Challenge Level:
  
  Explore one of these five pictures.
  
  ### Muggles Magic
  
  ##### Stage: 3 Challenge Level:
  
  You can move the 4 pieces of the jigsaw and fit them into both outlines. Explain what has happened to the missing one unit of area.
  
  ### Tiles in the Garden
  
  ##### Stage: 2 Challenge Level:
  
  How many tiles do we need to tile these patios?
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a collection of math problems and activities related to the topic of area, suitable for primary and secondary school students. It includes various problems and investigations that involve calculating and understanding the area of different shapes, such as triangles, rectangles, and circles. The problems range from simple to more complex, and some include interactive elements or practical activities.
  
  The document does not contain a single question and answer but rather multiple questions and activities related to the topic of area.
  
  Label: multiple-question