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Students must use their knowledge of similar shapes and linear equations in order to determine the value of an unknown. Solutions are provided.

2 worksheets on finding the Gradient of a Straight Line - on one sheet, all the gradients are positive integers; on the other, they’re all negative integers. Solutions provided. I’ve also included the Powerpoint files I used to make the worksheets, in case you want to make any changes.

Next to each shape are the instructions for the enlargement - the letter is the centre of enlargement, and the number is the scale factor. Unfortunately the letters which indicate the centres of enlargement are quite small - sorry! Once all enlargements have been successfully completed, they should join together to create a short message. Solution included!

Inspired by the “Settler” activities on Mathsbox that I really enjoy using. Students have 20 questions to complete on Dividing Decimals by Integers - they cross off their answers in the Answer Grid as they move through the worksheet. Once they’ve finished, there will be 5 numbers in the Answer Grid that haven’t been crossed off - they add these numbers up. Full solutions provided. I’ve included a pdf file with 2 copies of the worksheet, and also an editable Powerpoint file in case you want to make any changes.

This was inspired by a task from Don Steward: https://donsteward.blogspot.com/2014/12/algebraic-product-puzzles.html I wanted some similar puzzles on Quadratics that were more accessible to weaker students, without any negative terms, so that’s what I created! Students have to fill in each blank cell with a bracket so that every row and column multiplies to make the quadratic expression at the end. Of course this could be done by random trial and error, but it makes much more sense to factorise the Quadratics! An example is given on the sheet to help students understand how the puzzles work. Answers are provided.

A task I used with more able Year 8 students. Students are given decreasing arithmetic sequences - but most of the terms are missing. They must first determine the missing terms, and then work out the nth term. Solutions are provided.

Inside each shape are the instructions for the enlargement - the letter is the centre of enlargement, and the fraction is the scale factor. Unfortunately the letters which show the location of the centre of enlargement are quite small - sorry! Once all enlargements have been successfully completed, they should join together to create a short message. Solution included!

Students solve quadratic equations by completing the square, giving their answers in both surd form and as decimals. The answers are all jumbled up, and students must match the answers to the correct quadratic equation. There are a couple of quadratics where the coefficient of x is odd, and some knowledge of simplifying surds will be required. Solutions are provided.

A simple game to give students some practice of algebraic substitution. Due to the competitive element and using dice, I find that students quite enjoy it! Students roll a die - the number rolled is their x value. They substitute their x value into one of the expressions on the grid - the answer is the number of points they score this round. Play then passes to the next student who repeats the process (although they can’t pick any algebraic expressions that have already been chosen).

A short investigation I use each time I introduce straight lines of the form x = a and y = b. The idea is that students choose 4 co-ordinates on each line and write them in the given table. They then deduce the equation of the line by looking at the pattern in the co-ordinates they listed. Powerpoint file included in case you want to make any edits to my worksheet, and solutions provided.

A Treasure Hunt on Multiplying Decimals. Print out the questions and place around the room. Students decide which card they want to start on. Students answer the question in the large white box, and look for their answer at the top of a different card - this tells them which question to answer next. They then repeat the process, and if they’re correct, they should end up back at their starting point after 20 questions. Solution is provided.

This is similar to a resource already on TES that I really like (/teaching-resource/gcse-maths-sequences-search-worksheet-6158880) but I wanted an activity that required more substitution into nth terms rather than pattern-spotting, so this is what I came up with. Students have to find the 1st, 2nd, 5th, 10th, 50th and 100th terms of sequences using the given nth terms. They cross off all of their answers in the grid above. For ease of marking, there will be 10 numbers left over in the grid after the activity is completed. Students should add these together, and if they’ve made no mistakes, they’ll get a total of 1000. Full solutions are still provided however!

A simple worksheet on Dividing Mixed Numbers - nothing fancy. 12 questions for students to complete. Once students have completed a question, they cross off the answer at the bottom of the page - if they can’t find their answer, they’ve made a mistake somewhere. There are 15 answers, so 3 won’t be used.

In each block of the maze, students are given a value and a percentage they should increase it by. An answer is given (the large number in each block). Students try to find a way through the maze, left to right, that only goes through correct answers (moving diagonally is not allowed!). Solutions provided.

This Powerpoint covers the 5 Sampling Techniques covered in Chapter 1 of the Applied Textbook for Edexcel Year 12 / AS Maths, namely: Simple Random Sampling Systematic Sampling Stratified Sampling Quota Sampling Opportunity Sampling To try and make the content a little bit more interesting, I introduce these techniques using Skittles (eating them is a nice treat at the end of the lesson!).

This worksheet (with 15 questions) guides students through the process of finding the equation of a tangent to a circle. I used this with a class of grade 5/6 Higher students, who I thought would probably struggle with the topic without any support. I’ve tried to make the worksheet gradually harder as students work their way through the questions - e.g. the y-intercept is mostly an integer, except for the final few questions. Full solutions are provided.

This resource is for students who are confident with Linear and Quadratic Sequences. It covers: Finding the nth term of a linear sequence Finding the nth term of a quadratic sequence Generating sequences Verifying whether a given number is in the sequence Finding missing terms in linear sequences Full answers are provided.

An activity that I designed to make ordering fractions a bit more challenging for the more able in my group. Pupils are given 4 algebraic fractions, and must order them by size for particular values of the unknown. Solutions are provided.

A way to make solving equations a bit more interesting! Students have to pick 2 of the algebraic expressions and set them equal to each other. They then solve the equation they’ve created, and hope the answer is one of the targets on the right hand side of the page. If not, they create another equation! When I use this in my lessons, I say the first person to create an equation with a target answer gets to “claim” that answer and gets their name on the board. I find the students are really motivated by this, and do a lot more practice than they usually would! Possible solutions are provided.

A Treasure Hunt based on finding the input value in a function machine when given the output. Print out the cards and stick them around the classroom. Students pick their own starting point, answer the question, and look for their answer at the top of a different card. This tells them which question to do next, and then they repeat the process. They should end up back at their starting point if they get all the questions correct. Solution provided.