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.

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.

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.

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.

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.

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 system works. There are also suggestions for further investigative work and a web-link to more activities.

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.

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.

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.

Linear equation solving, solutions. Students are required to solve simple linear equations then write the value of the solution in the crossword grid. The nature of the task encourages students to check their solutions. The teacher's guide gives some advice concerning strategies. The answer is provided.

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.

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.

Chinese characters, Chinese number system, place value, cross-cultural, cross-number puzzle. To complete this cross-number puzzle students will be required to learn to recognise traditional Chinese number characters and to understand the place value system (base 10) that the Chinese use. A teacher's guide gives the necessary background and possible approaches. The answer is provided.

A diagram of incomplete factor trees is given. Students have to complete these. There is an extra puzzle task given in the Teacher's guide for those that complete this worksheet early. The answers are supplied.

Sequences, sequence notation, recurrence relations, number calculations. 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.

Linear equation solving, solutions. Students are required to solve linear equations then write the value of the solution in the crossword grid. All equations have variables on both sides. The nature of the task encourages students to check their solutions. The teacher's guide gives some advice concerning strategies. The answers are provided.

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.