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.
UPDATED 16/09/22: Changed the font and added solutions. Included pdf version of the task too.
A Bronze/Silver/Gold differentiated resource where pupils are given a list of fractions and a square grid. They have to put the fractions in the grid so that every row and column is in ascending order. The suggested method for doing so is to find a common denominator.
There are many possible solutions to the puzzles, but I have provided one possible set of solutions as this was requested in the comments. In all solutions, the smallest fraction must always go in the top left corner, and the largest in the bottom right.
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!
Some questions on Bearings & right-angled Trigonometry that I designed for my Year 11 students.
The worksheet is scaffolded - each question comes in a pair. In the first question, I have drawn the complete diagram for students. In the second question, the diagram has been drawn but not labelled - students must do this for themselves.
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.
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.
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.
Students have to determine the roots, y-intercept and turning point of each of the given quadratic graphs using an algebraic method. The graphs are not drawn accurately, although I’ve tried my best to get them in roughly the correct position.
Solutions are provided.