There are three Cross-number Puzzles provided in this worksheet resource: Puzzle A, Puzzle B and Puzzle C. They are in increasing order of difficulty. All clues involve a mixture of addition, subtraction, multiplication and division of fractions. Puzzles A and B involve operations with two fractions or mixed fractions. It is possible to complete each of these two puzzles by ignoring the division clues. The clues in Puzzle C all involve operations with three fractions. Knowledge of the order of o
This comprehensive pack contains resources to introduce students to Conway's Game of Life. Watch configurations of dots die, survive and give birth. This recreational mathematics topic has fascinated thousands of people since its discovery in 1970. The pack contains four worksheets with student activity Challenges, a 5-page Teacher's Guide with answers to all the Challenges and an accompanying suite of 4 Grid Templates. It is suitable for students of all ages and ranges of ability. The Guide als
Students use the cut-out sheet to make a set of 12 pentominoes. This puzzle pack has 20 shape templates. Each shape can be created using all 12 pentominoes. The shapes are themed as rectangles (including squares) with holes in them. The Teacher's Guide gives solutions for all puzzles and some advice for helping students who are stuck.
This is a Cross-Number Puzzle based on Factory Town Tycoon (a Roblox game). The pupil's Information Sheet provides: a list of Players and their current wealth; buying/selling prices for some goods; a simple production line example. Students are required to interpret the clues, extract relevant data from the Information Sheet and then to do the necessary calculations (manually or with calculator) Students who are not familiar with the game will not be at a disadvantage as the puzzle is self-cont
A Cross-Number Puzzle based on Factory Town Tycoon (a Roblox game). The pupil's Information Sheet provides: buying prices for 5 types of goods; numbers of goods required to build a selection of items; a simple production line example. Students are required to interpret the clues, extract relevant data from the Information Sheet and then to do the necessary calculations (manually or with calculator) Students who are not familiar with the game will not be at a disadvantage as the puzzle is self-c
These two puzzles involve the student cutting out a set of tetromino or pentomino shapes with numbers on them. The task is to reconstruct a magic square using the pieces. A teachers guide suggests various approaches to the puzzle, one of which involves an investigation of what the 'magic number' will be. Answers are provided. [Magic squares, tetrominoes, pentominoes, dissection puzzle, magic number]
These Hexceed Puzzles require simple logical deduction from the clues given to find the position of 'Danger Hexes' in a small irregular grid of hexagons. The puzzle is completed by adding missing numbers in the 'Clue Hexes'. The puzzle is solved when all Hexes are filled. Each Student Puzzle Sheet has a diagrammatic explanation at the top of the sheet so should be self contained. The package consists of three Student Puzzle Sheets and three accompanying Teacher Notes. The Teacher Notes contain t
Two cross-number puzzles are provided in this resource. The main aim is for students to learn to read and write numbers using the Roman numeral system. To complete these puzzles the student will need to translate numbers from the Roman numeral system to their familiar decimal system, perform some basic calculations and then translate their answer back into the Roman numeral system. The Teacher’s Guide provides the answers to both puzzles along with some explanations of how the Roman number syste
To complete this cross-number puzzle students are required to translate familiar arabic numbers into Chinese character numbers and to write these characters in the grid. A teacher's guide gives the necessary background and possible approaches. The answer is provided. This activity would follow naturally from my resource: Chinese Numbers No1. [Chinese characters, Chinese number system, place value, cross-cultural, cross-number puzzle]
This word search grid contains the names of 50 famous mathematicians. Students are asked to give the direction, coordinates and name. Geographical directions of the compass are used for how you read the name and coordinates of the position of the starting letter are asked for. Templates for filling in this information are given below the grid. The three page Teacher's Guide contains the full solutions, guidance on possible approaches and uses for the word search and also a page of crib sheets wh
Students completing this cross-number puzzle are eventually required to calculate just over the first thirty Fibonacci and Lucas numbers. 'nth term' notation is used and recurrence relations are given. The calculations involved are addition, subtraction and a few basic multiplications. The Teacher's Guide gives the answers to the puzzle. Also outlined are some further investigative activities exploring the many relationships between the two sequences of numbers. [Sequences, sequence notation, re
This activity consists of a Crossnumber Puzzle which is completed by solving 22 quadratic equations. Instructions are given regarding the method for entering solutions onto the grid. All the quadratic equations have 1 as the coefficient of the x-squared term. The answer to the puzzle is provided in the Teacher's Guide along with a few relevant notes.
Students explore the symmetry properties of the pentominoes then create symmetric shapes using pairs of pentominoes. A cut-out sheet is provided for making the set of pentominoes. There are then 4 worksheets which include finding axes and centres of symmetry, completion of a pentomino summary sheet, discussion of bilateral and rotational symmetry and order of symmetry. There are 3 pages of a Teacher's Guide which give full answers to all the activities. Possible approaches to lessons are given a
To complete these cross-number puzzle grids students will use their knowledge of the sequence of square numbers. The clues for Puzzle A include index notation and phrases like: "the square of 3", "3 squared" and "the 3rd square number". In the Teacher's Guide are outlines of different classroom approaches e.g.calculation based or geometrical pattern based. The student sheet includes geometrical diagrams of the square number sequence. Puzzle B involves calculating sums and differences of square
Completion of this cross-number puzzle involves evaluation of algebraic expressions involving squaring and the use of brackets. Most of the calculations can be performed without the use of a calculator. Students should be encouraged to only use a calculator as a final checking process. There is also a double-check built in due to the overlapping structure of the cross-number grid so students should be encouraged to calculate all the clues not just a minimal set. The answers and further suggestio
This resource consists of 5 worksheets and a 6 page Teacher's Guide. These worksheets explore the amazing symmetries occurring in the decimal expansions of prime reciprocals. Students investigate the cycles of digits in these expansions and complete beautiful cyclic diagrams, templates of which are supplied in these worksheets. The primes 3, 7, 13, 17, 19, 23, 29, 31 and 37 are explored. Hidden patterns are revealed and a connection between the number of cycles and the length of the cycles is di
A fun activity involving a self-referential property of number names as written in English. A structured diagram has to be completed correctly with the names of the numbers from 1 to 20. This is not a straightforward task and lends itself to plenty of discussion. The Teacher's Guide gives "the rule" along with the completed diagram. There is also advice given on approaches to using the resource along with many suggestions for further investigational activities.
This worksheet introduces a novel 'numeric language' using 'reverse notation'. The digits 6, 7, 8 and 9 are banned. The allowed digits may be written in reverse (mirror image). Students should be given time to explore the given examples to see if they can discover the method. Four graded tasks are given. There is a detailed teacher's guide along with the answers to the tasks. Students love this activity! [Number bases, decimal system, place value, number puzzle, reflection]
In the first activity students complete the given factor trees. Further activities involve students creating similarly structured factor trees for further numbers then differently structured trees for all the previous numbers. Suggestions are made to link the activities to the prime factorisation of numbers. The Teacher's Guide supplies answers to all the activities with a few additional notes.
This Cross-Number puzzle involves the use of a novel 'reverse notation' or 'looking glass arithmetic'. Students should be encouraged to investigate and discover rules for adding and subtracting digimirror numbers. A detailed teacher's guide is included which suggests possible classroom approaches. Answers are provided. My resource 'Digimirror Maths' would be a natural introduction to this activity. [Number bases, decimal system, place value, number puzzle, reflection, addition & subtraction of
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