* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Place the number puzzles - Hench-maths
Survey
Document related concepts
Numbers (TV series) wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Positional notation wikipedia , lookup
Law of large numbers wikipedia , lookup
Ethnomathematics wikipedia , lookup
Infinitesimal wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Surreal number wikipedia , lookup
Bernoulli number wikipedia , lookup
Large numbers wikipedia , lookup
Location arithmetic wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Real number wikipedia , lookup
Transcript
Place the number puzzles http://hench-maths.wikispaces.com Instructions • These problems can either be displayed for a whole class on a smart board or data projector. • Students could be given the file and “play” with each puzzle in edit mode by selecting and moving the textboxes containing the numbers. (they can’t move the numbers in view-show mode) HAITCH 1 2 3 • Use the numbers 1 to 7, once only so that all three lines have the same total. • How many different possibilities are there? • Prove that 6 and 7 cannot be in the same line. • Prove that the centre of the H must be even. 4 5 6 7 CROSS CUT 1 2 3 • Use the numbers 1 to 6, once only • The row of 3 must add up to the column of 4 • Prove that the centre number must be odd • How many different solutions are there? 4 5 6 IT ADDS UP 1 2 3 • Use the numbers 1 to 5, once only • The row of 3 must add up to the column of 3 • Prove that the centre number must be odd • How many different solutions are there? 4 5 EQUALIZING 1 2 3 • Use the numbers 1 to 6 once only • Line totals must be equal • Establish that there are only 4 solutions • Prove that the numbers 1 and 6 must be together 4 5 6 DEDUCT & DEDUCE 1 2 3 • Use the numbers 1 to 6 once only. • Each circle is the positive difference between the two circles below it. • Prove that there are only four different ways of doing this if reflections are not counted. 4 5 6 Number Go Round 1 2 3 4 5 6 7 8 • Place the numbers 1 to 8 in each space so that all sums are correct - + = = + MAV - = Number Tiles 1 2 5 6 7 8 3 4 9 Place the numbers 1 to 9 onto the squares so that they make a correct addition sum MAV Arithmagon 1 1 2 3 4 7 8 9 10 • The number in the square is the sum of the two circle numbers • Can you place the correct numbers MAV 5 6 9 Arithmagon 1 1 2 3 4 7 8 9 10 • The number in the square is the sum of the two circle numbers • Can you place the correct numbers MAV 5 6 13 Arithmagon 1 1 2 3 4 7 8 9 10 • The number in the square is the sum of the two circle numbers • Can you place the correct numbers MAV 5 6 4 Arithmagon 1 1 2 3 4 7 8 9 10 • The number in the square is the sum of the two circle numbers • Can you place the correct numbers MAV 5 6 11 1 to 19 Place the numbers from 1 through 19 in the circles so that the numbers in every 3 circles on a straight line total 30. 1 7 13 2 8 14 1 3 9 15 1 4 10 16 1 5 11 17 1 6 12 18 19