text: # Search by Topic
  
  #### Resources tagged with Algebra - generally similar to Pythagorean Quadruple:
  
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  ### There are 16 results
  
  Broad Topics > Algebra > Algebra - generally
  
  ##### Stage: 3 Challenge Level:
  
  Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E
  
  ### Quick Times
  
  ##### Stage: 3 Challenge Level:
  
  32 x 38 = 30 x 40 + 2 x 8; 34 x 36 = 30 x 40 + 4 x 6; 56 x 54 = 50 x 60 + 6 x 4; 73 x 77 = 70 x 80 + 3 x 7 Verify and generalise if possible.
  
  ### More Mathematical Mysteries
  
  ##### Stage: 3 Challenge Level:
  
  Write down a three-digit number Change the order of the digits to get a different number Find the difference between the two three digit numbers Follow the rest of the instructions then try. . . .
  
  ### Why 8?
  
  ##### Stage: 3 Challenge Level:
  
  Choose any four consecutive even numbers. Multiply the two middle numbers together. Multiply the first and last numbers. Now subtract your second answer from the first. Try it with your own. . . .
  
  ### Is it Magic or Is it Maths?
  
  ##### Stage: 3 Challenge Level:
  
  Here are three 'tricks' to amaze your friends. But the really clever trick is explaining to them why these 'tricks' are maths not magic. Like all good magicians, you should practice by trying. . . .
  
  ##### Stage: 3 Challenge Level:
  
  Think of a number Multiply it by 3 Add 6 Take away your start number Divide by 2 Take away your number. (You have finished with 3!) HOW DOES THIS WORK?
  
  ##### Stage: 3 Challenge Level:
  
  A little bit of algebra explains this 'magic'. Ask a friend to pick 3 consecutive numbers and to tell you a multiple of 3. Then ask them to add the four numbers and multiply by 67, and to tell you. . . .
  
  ### AP Rectangles
  
  ##### Stage: 3 Challenge Level:
  
  An AP rectangle is one whose area is numerically equal to its perimeter. If you are given the length of a side can you always find an AP rectangle with one side the given length?
  
  ##### Stage: 3 Challenge Level:
  
  Think of a number, add one, double it, take away 3, add the number you first thought of, add 7, divide by 3 and take away the number you first thought of. You should now be left with 2. How do I. . . .
  
  ### Plutarch's Boxes
  
  ##### Stage: 3 Challenge Level:
  
  According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have. . . .
  
  ### Pyramids
  
  ##### Stage: 3 Challenge Level:
  
  What are the missing numbers in the pyramids?
  
  ##### Stage: 3 Challenge Level:
  
  Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain. . . .
  
  ### Think of Two Numbers
  
  ##### Stage: 3 Challenge Level:
  
  Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
  
  ### The Development of Algebra - 1
  
  ##### Stage: 3, 4 and 5
  
  This is the first of a two part series of articles on the history of Algebra from about 2000 BCE to about 1000 CE.
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