A card sort activity for pupils to sort into groups based on the most suitable mental strategy for answering the question. Of course pupils can then answer questions (answers are provided on the second sheet). Just for clarity in the terminology, the strategies given are as follows: Compensating - adding or subtracting a value near the one suggested and then compensating for the change, i.e. calculating 34 - 19 by doing 34 - 20 + 1 Near doubles or halves - adding two numbers that are near each other by doubling a number and the adjusting as necessary, or subtracting one number that is nearly half the other in a similar way i.e. 34 + 35 = 35 x 2 - 1 (or 34 x 2 + 1); 45 - 23 = 46/2 - 1 = 22. Reordering - Reversing numbers in a sum to make use of bonds i.e. 28 + 36 + 22 = 28 + 22 + 36 = 50 + 36 Multiply then move - Separating a multiplication where one of the values is a multiple of 10, 100 etc so that a multiplication is done, followed by the moving of a number in columns i.e. 23 x 30 = 23 x 3 x 10 = 69 x 10 Move then divide - Similar to above, when dividing by a multiple of 10, 100 etc, move the number first and then divide by what is left i.e. 44 x 5 = 44 x 10/2 = 440/2 = 220. Steps of division - Completing a division in multiple steps i.e. 120 ÷ 8 = 120 ÷ 2 (=60) ÷ 2 (= 30) ÷ 2 = 15 or 30 ÷ 20 = 30 ÷ 10 (=3) ÷ 2 = 1.5. 'Over divide' then multiply - when dividing by a factor of 10, 100 etc, divide by 10, 100, etc then multiply by the complementary factor; i.e. 420 ÷ 25 = 420 ÷ 100 x 4 = 4.2 x 4 = 16.8

Small worksheet for little extra consolidation of completing symmetrical pictures. Pictures drawn on square, triangular and isometric backgrounds to give pupils experience of working with different types of symmetrical shapes. Both line and rotational symmetry considered. Pictures are possible answers to each question (answers are not necessarily unique). *** mistake spotted and corrected***

A selection of posters for Numeracy across the Curriculum or using Graphs and Charts (Graphicacy) across the curriculum. Display in classrooms or on boards around the school and get staff directing pupils to them if they are struggling or unsure which chart is suitable to use.

A worksheet with three continuous variables rounded to appear as discrete data. Pupils have to create suitable continuous class intervals for the pre-rounded values before drawing the histogram. Three tables showing the continuous intervals and frequency density are also given. (Technically the second question doesn't ask for a separate table, but pupils should be able to mark histograms from the table if peer or self-assessing).

Was moved to create this after seeing something similar on an AQA topic test. Allows pupils the opportunity to consider rotations for angles other than 90 or 180 degrees in a way that is potentially more accessible than doing this on squared paper. Shapes are placed onto a triangular grid, and pupils have to rotate through angles of 60 or multiples of 60.

For KS2, KS3 or KS4 maths teachers, this set of worksheets completely develops the concept of adding and subtracting fractions. There are 5 worksheets, broadly covering the following aspects of the concept: Adding and Subtracting Fractions with the same denominators Understanding why fractions with different denominators cannot be added or subtracted without exchanging, and identifying when this is and isn’t required. Adding and Subtracting Fractions where one denominator is a multiple of the other. Adding and Subtracting Fractions where the denominators do not share a common factor. Adding and Subtracting Fractions where the denominators do share a common factor. These can be used one after the other over a series of lessons exploring the concept, or could be spaced across several years, with enough similarity in the structure that pupils should have memories of working on similar tasks triggered.

All of the homework booklets I design for my Maths department, free and in one place. Obviously cannot post answers here, but happy for people to email me for them - a DM on twitter with your email address is the best way to get them. Note there are a few images borrowed from different places. Apologies for any infringement and please just let me know and I am happy to credit or change as required.