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A task I designed to challenge some high-ability students. There are 9 questions on Multiplying Mixed Numbers, each one missing a digit. Students have to work out the missing digit in each calculation. Each of the numbers 1 - 9 will be used exactly once. Answers are provided.

I wanted a resource where students had to factorise monic quadratics that only had positive terms, so I created this task. Students factorise each of the given quadratics into double brackets. They cross off each bracket in the grid at the bottom of the page - each bracket appears multiple times, but it doesn’t matter which one they cross off. Once students have factorised every quadratic, their grids will probably all look different, but they will all have 8 letters left that weren’t crossed off that can be re-arranged to spell BUDAPEST.

I like to use the grid method for expanding double brackets, and then I use the grid method “in reverse” to factorise non-monic quadratics. To introduce this idea of working “in reverse”, I created these 2 worksheets. Students are already given the four terms inside the grid, and they have to determine what the brackets around the outside must be.

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.

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 division worksheet I made to help my Year 7s practise giving their answers as decimals, instead of just writing the remainder. Full solutions provided, and I’ve also provided the PowerPoint file I used to create this in case you want to make any edits. I designed this to be similar to the “Settler” worksheets you may have seen on Mathsbox, which I use a lot! Students complete each question, then cross their answer off in the Answer Grid (if they can’t find their answer, they’ve made a mistake!). Once all 20 questions have been completed, there will be 5 numbers in the Answer Grid that haven’t been crossed off. Add these 5 numbers up to get the final answer.

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.

An activity that gets pupils to practise division problems where the answer is a decimal, a skill which is motivated by a need to find approximations to the irrational number pi. There are 3 different levels of questions for pupils to attempt. Some of the questions really are quite challenging!

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.

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.

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.

3 ‘basic’ Reciprocal Graphs to be plotted and then 3 more (involving graph transformations) that are a little more complicated! Solutions provided.

I wanted a basic worksheet on translating shapes by a vector (by ‘basic’ I mean shapes with 3 or 4 vertices!) so I made this. Full solutions provided and the Powerpoint file is also included too in case you want to make any edits.

24 questions (with full solutions) involving ratio where we’re given the difference between 2 of the shares. In the first 6 questions, there are 2 people who are sharing something and the bar model is already drawn for students. In the next 6 questions, there are again 2 people who are sharing something but no bar models are provided. In the remaining questions, there are 3, 4, 5 or 6 people sharing something. Sometimes students are given a bar model that is already drawn, sometimes they’re not! I’ve included the original Powerpoint file I used to make this, in case you want to make any edits. There are also 2 pdf files - one where each question is A4-size, and another where there are 6 questions per page.