This resource consists of two cross-number puzzles suitable for Year 6 upwards (P7 upwards in Scotland). Geometric diagrams are given illustrating the first few triangular numbers. To solve both puzzles the student will need to calculate particular triangular numbers, The largest required is the 41st. Clues use a basic algebra subscript notation for each triangular number. The Teachers Guide outlines three possible approaches to the completion of the worksheet ranging from "brute force" calculation to more investigative approaches involving the triangular number formula. The answers to the puzzles are also supplied in the Teacher's Guide.

Students have to complete a cross-number puzzle whose clues are all the addition of two fractions. Instructions are given on the worksheet as to how to enter a fractional answer in the grid. The answers are given in the Teacher's Guide along with a few relevant notes regarding the puzzle.

Students have to complete a cross-number puzzle whose clues are all the subtraction of two fractions. Instructions are given on the worksheet as to how to enter a fractional answer in the grid. The answers are given in the Teacher's Guide along with a few relevant notes regarding the puzzle.

Algebraic substitution, expressions, evaluation. Students have to evaluate a set of linear expressions given the values of the variables. A teacher's guide is supplied and the answers are given.

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 suggestions are provided in the teacher's guide.

This activity consists of a Crossnumber Puzzle which is completed by solving 18 quadratic equations. Instructions are given regarding the method for entering solutions onto the grid. All the quadratic equations have an x-squared coefficient that is not 1. The answer to the puzzle is provided in the Teacher's Guide along with a few relevant notes.

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.

This resource consists of a cross-number puzzle whose solution involves the calculation of hexagonal numbers. Geometric diagrams are given for the first few hexagonal numbers. Students will then have to devise methods to calculate larger such numbers. The Teachers Guide outlines three possible investigative approaches to these calculations. One involves generalising using the given geometric patterns. The other two approaches involve investigating numerical patterns which then leads to the construction of a nth term formula. One is through patterns in a difference table and the other involves patterns in the numerical factors of the hexagonal numbers. The answers to the puzzle clues are also given in the Teachers Guide.

Factors, factorisation, prime numbers, investigation. Diagrams of incomplete factor trees are given for the student to complete. There are then follow-on tasks exploring the fact that one number may produce differently structured trees. In the Teacher's guide an investigation is outlined based on the activities covered in the worksheet. All answers are given.

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 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 discovered. The completed diagrams are given in the Teacher’s Guide which also contains the outline of an investigative approach to the topic. Details are given of the various stages of the investigation and how the worksheets may be incorporated. Various extensions are suggested including the use of a spreadsheet. This is a fascinating topic which will provide rich and rewarding mathematical experiences for the students.

Students have to complete a cross-number puzzle whose clues are all the multiplication of two fractions. Instructions are given on the worksheet as to how to enter a fractional answer in the grid. The answers are given in the Teacher's Guide along with a few relevant notes regarding the puzzle.

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 and useful extension activities are outlined.

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 whose use is also explained in the notes.

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 also gives advice as to suitable classroom approaches, further extension work and reference to videos and software. Worksheet 1 introduces the idea of Neighbours, Worksheet 2 focusses on death from loneliness and overcrowding. Worksheet 3 tackles the birth of dots. Then Worksheet 4 brings all the rules together and the activities focus on finding the next generation for various configurations. Still Life patterns are also explored. The emphasis throughout is on activity, exploration and extension work. Much of the activity is suitable for group work. Reference is made to suitable motivational videos and to an excellent free open-source software package (Golly) for further exploration.

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-contained. The Teacher’s Guide gives the answers by means of a completed grid. The actual calculations required to solve each clue are given. This allows the teacher to easily judge the difficulty level involved and whether calculators should be allowed. There are also descriptions and suggestions for use in the classroom and for further extension work.

A Cross-Number Puzzle based on Booga Booga (a Roblox game). The Pupil Information Sheet provides: the effect of various tools (Axes, Rock etc) on health, facts about different Trees and Bushes, facts about a Campfire. 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-contained. The Teacher Guide gives the answers by means of a completed grid. An indication of the difficulty level of the calculations required is given. This allows the teacher to easily judge whether or not calculators should be used.

This cross-number puzzle is based on Factorio which is a real-time factory simulation computer game. Factories are built to produce various items from resources. The icons of all the resources and products used in the puzzle are shown and named on Information Sheet No1. Some of the production processes from the game are shown on the Information Sheets. Each process requires 1, 2 or 3 ingredients and the length of time in seconds to complete each process is also given. Students are required to interpret the clues, extract relevant data from the Information Sheets 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-contained. The Teacher Guide gives the answers by means of a completed puzzle grid. The actual calculations required to solve each clue are given. This allows the teacher to easily judge the difficulty level involved and whether calculators should be allowed. There are also descriptions and suggestions for use in the classroom and for further extension work. PC Gamer praised Factorio, calling it “a manufacturing masterpiece” and it has now sold over 2·5 million copies. It is an extremely creative and highly educational game.

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 operations is essential to solve this third puzzle. There is an explanation given on each puzzle sheet of how fractions or mixed fractions are to be entered in the grid The full answers to the three puzzles are given in the Notes for Teachers along with a few relevant notes regarding the puzzles.

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 numbers and would be useful preparation for Pythagoras’ Theorem calculations. Full solutions are included in the Teacher’s Guide.