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STPaulsMaths

Revision Booklets directly from https://www.piximaths.co.uk/revision-booklets

Targeted booklets at students aiming for a grade 1, grade 3, grade 5, grade 7 and grade 9. Answers are also included.

Hopefully you find these useful.

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Maths Sandpit

Secondary maths teaching inspiration.

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Tag Archives: PixiMaths

342. revision jotters.

With the exams looming large, I thought I’d share how my class have been revising. To give you some context roughly a third of the class are doing Foundation GCSE, aiming for at least a Grade 4. The rest are doing Higher and aiming for a Grade 5 or better. We have three, one hour, lessons a week. I’m rotating between doing an exam paper, a whole class revision activity (eg a revision clock) and tiered revision.

I know if I tell the students to revise independently the results are going to be mixed. Some will be brilliant, some will be more laid back. To resolve this I pick a topic (or two) from each tier that I know they need to improve on from or that they have requested. It’s helpful if there is a theme to the work. I’ve recently done things like y=mx+c (F) with plotting inequalities (H).

Now the genius part: PixiMaths revision jotters

How to run the session

Photocopy a big stack of revision jotters. If you are doing black and white copying, use the b&w version. We requested the b&w version and, because PixiMaths is awesome, it is now on the website.

Clearly put on the board which topic each tier is revising

Eg Foundation: exact trig values, Higher: trig graphs

Give students 5-10 minutes to fill their revision jotters with everything they know. Have textbooks or maths dictionaries available to fill in the gaps. You may find that Higher students want to do the Foundation topic too – no problem, just make sure they have two jotters. Due to the complexity of the Higher topic, they will need more time to make initial notes.

My students are allowed headphones in revision sessions. At this point it’s headphones in for Higher and out for Foundation.

Do a skills recap on the board (exact trig values), with maybe an exam question too. Students can ask questions on the topic and add to their jotter. Then have a worksheet for students to do eg Corbett Maths or KeshMaths GCSE exam questions booklets. They can refer to their revision jotter or scan the Corbett Maths QR code for extra help.

Swap over. Headphones in for Foundation and out for Higher.

Repeat the process for Higher, with drawing trigonometric graphs. Issue an appropriate worksheet.

Once you’re done, make a judgement call. Are there students who could push it further? Maybe transform a trig graph or problem solve? Go for it. Foundation are busy, Higher are busy, spend some time stretching your most able. Every mark counts.

A huge thank you to PixiMaths for the revision jotters (and everything else).

Examples of students’ work

Shared with permission of students. You can see that they have personalised them to meet their needs and some are a work in progress. Also, the b&w jotter photocopies so nicely.

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Pythagorean Theorem Exercises

Pythagorean theorem practice problems with answers.

There are eight (8) problems here about the Pythagorean Theorem for you to work on. When you do something a lot, you get better at it. Let’s get started!

Here’s the Pythagorean Theorem formula for your quick reference.

Pythagorean Theorem - a squared plus b squared is equal to c squared

Note: drawings not to scale

Problem 1: Find the value of [latex]x[/latex] in the right triangle.

the legs of a right triangle are 6 and 8

[latex]10[/latex]

Problem 2: Find the value of [latex]x[/latex] in the right triangle.

the leg of a right triangle is 12 and the hypotenuse is 16

[latex]4\sqrt 7 [/latex]

Problem 3: Find the value of [latex]x[/latex] in the right triangle.

right triangle with legs square root 3 and square root 6

[latex]3[/latex]

Problem 4: The legs of a right triangle are [latex]5[/latex] and [latex]12[/latex]. What is the length of the hypotenuse?

[latex]13[/latex]

Problem 5: The leg of a right triangle is [latex]8[/latex] and its hypotenuse is [latex]17[/latex]. What is the measure of its other leg?

[latex]15[/latex]

Problem 6: Suppose the shorter leg of a right triangle is [latex]\sqrt 2[/latex]. The longer leg is twice the shorter leg. Find the hypotenuse.

[latex]\sqrt {10} [/latex]

Problem 7: The hypotenuse of a right triangle is [latex]4\sqrt 2[/latex]. If the longest leg is half the hypotenuse, what is the length of the shortest leg?

[latex]2\sqrt 6[/latex]

Problem 8: Find the value of [latex]x[/latex] of the right isosceles triangle.

the hypotenuse of a right isosceles triangle is 2 times square root 3

[latex]\sqrt 6[/latex]

You might also like these tutorials:

  • Pythagorean Theorem
  • Pythagorean Triples
  • Generating Pythagorean Triples

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Pythagoras' Theorem

Starts at the very beginning with using a calculator. May need editing depending on which calculators you use. Main activity differentiated and answers included. Includes 3D Pythagoras' theorem problems.

Capture.PNG

To get additional practice, check out the sample problems in each of the topic above. We provide full solutions with steps for all practice problems. There's no better way to find math help online than with Cymath, so also make sure you download our mobile app for and today! Learn more than what the answer is - with the math helper app, you'll learn the steps behind it too.

Even simple math problems become easier to solve when broken down into steps. From basic additions to calculus, the process of problem solving usually takes a lot of practice before answers could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them. At Cymath, our goal is to take your understanding of math to a new level.

If you find Cymath useful, try today! It offers an ad-free experience and more detailed explanations. In short, goes into more depth than the standard version, giving students more resources to learn the step-by-step process of solving math problems.

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Pythagoras Practice Questions

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VIDEO

  1. A Collection of Maths Problem Solving Questions#482 (Binomial Expansion)

  2. A Collection of Maths Problem Solving Questions#527 (Logarithms)

  3. A Collection of Maths Problem Solving Questions #616 (Trigonometry)

  4. Algebra (Foundation) GCSE Revision

  5. A Collection of Maths Problem Solving Questions #570 (Indices)

  6. A Collection of Maths Problem Solving Questions:#98 (Quadratic Equations

COMMENTS

  1. Problem Solving

    The PixiMaths problem solving booklets are aimed at "crossover" marks (questions that will be on both higher and foundation) so will be accessed by most students. The booklets are collated Edexcel exam questions; you may well recognise them from elsewhere. Each booklet has 70 marks worth of questions and will probably last two lessons ...

  2. Problem solving assessments

    Problem-Solving Assessments. We assess students 6 times per year - 3 times with these assessments and 3 times with the leveled skills assessments. These assessments are designed to assess students' abilities to reason and problem solve. Obviously also very good for literacy!

  3. Teaching Resources

    Transition ideas Creative teaching with exam questions Options cards (pictured) Aiming-For revision booklets Higher and foundation revision mats. Numeracy assessment Banner Policy suggestions Timestables snap. Intervention packs with pre- and post-topic assessments and intervention booklets. Lots of Publisher files for you to adapt and print ...

  4. PixiMaths

    Revision Booklets directly from Targeted booklets at students aiming for a grade 1, grade 3, grade 5, grade 7 and grade 9. Answers are also included. Hopefully you find these useful. Aiming …

  5. Quartiles from a List Practice Questions

    Quartiles and IQR from a List. Welcome. Videos and Worksheets. Primary. 5-a-day.

  6. PixiMaths

    PixiMaths · April 19, 2017 · · April 19, 2017 ·

  7. Ratio Practice Questions

    The Corbettmaths Practice Questions on Ratio. Previous: Percentages of an Amount (Non Calculator) Practice Questions

  8. PixiMaths

    Do a skills recap on the board (exact trig values), with maybe an exam question too. Students can ask questions on the topic and add to their jotter. Then have a worksheet for students to do eg Corbett Maths or KeshMaths GCSE exam questions booklets. They can refer to their revision jotter or scan the Corbett Maths QR code for extra help.

  9. Perimeter Practice Questions

    Next: Sample Space Practice Questions GCSE Revision Cards. 5-a-day Workbooks

  10. Surds Questions

    Example 2: Rationalising Surds Rationalise the denominator of the following fraction. \dfrac{8}{5+\sqrt{2}} [4 marks] This is a Type 2 so we need to multiply the top and the bottom of the fraction by the denominator with the sign changed. + becomes -and -becomes +. This means we must multiply by (5-\sqrt{2}).This is going to involve some bracket expanding.

  11. PixiMaths

    Welcome to PixiMaths where you will find an assortment of resources as well as SOWs and assessments for the new 9-1 maths GCSE. ... Problem Solving. Functional Maths. Mixed Attainment Maths. Homework Ideas. Student Assessment Sheets. Guestbook. About PixiMaths. Consultancy. Newsletter Archive. Department Documents. Store.

  12. A Collection of Maths Problem Solving Questions #638 (Volume

    1 litre of liquid P has a mass of 𝑝 grams.1 litre of liquid Q has a mass of 𝑞 grams.A liquid R is made by mixing a volume of liquid P with a volume of liqu...

  13. Vectors

    Vectors. Two vectors lessons: The first introduces addition, subtraction and scalar multiples of column vectors. Also includes calculating the magnitude of a vector. The second is a differentiated lesson with the Vector clip from Despicable Me. Includes an introduction to parallel vectors. Column vectors RAG.

  14. Trigonometry Practice Questions

    Answers - Version 1. Answers - Version 2. The Corbettmaths Practice Questions on Trigonometry.

  15. Free Math Worksheets

    Khan Academy's 100,000+ free practice questions give instant feedback, don't need to be graded, and don't require a printer. Math Worksheets. Khan Academy. Math worksheets take forever to hunt down across the internet. Khan Academy is your one-stop-shop for practice from arithmetic to calculus. Math worksheets can vary in quality from ...

  16. Mammoth Starter Packs

    Mammoth Starter Packs. Possibly my biggest project since the PixiMaths Aiming for revision guides! A huge selection of GCSE starter tasks - 2 or 3 questions for every lesson of the year for students to practice. Similar to the Aiming for booklets, these are split into rough grade guesses to help you select the best pack for your class.

  17. Pythagorean Theorem Practice Problems With Answers

    There are eight (8) problems here about the Pythagorean Theorem for you to work on. When you do something a lot, you get better at it. Let's get started! Here's the Pythagorean Theorem formula for your quick reference. The longer leg is twice the shorter leg. Find the hypotenuse. If the longest leg is half the hypotenuse, what is the length ...

  18. PDF Exam Style Questions

    The diagram below shows one of the equilateral triangles. Calculate the height, x, of the equilateral triangle above. Calculate the area of the equilateral triangle. Calculate the area of the hexagon. 14. A boy is flying a kite. The string is held 80cm above the ground. The kite is on a string which is 8m long.

  19. Pythagoras' Theorem

    Pythagoras' Theorem. Starts at the very beginning with using a calculator. May need editing depending on which calculators you use. Main activity differentiated and answers included. Includes 3D Pythagoras' theorem problems. newsletter terms and conditions.

  20. Practice Math Problems with Answers

    From basic additions to calculus, the process of problem solving usually takes a lot of practice before answers could come easily. As problems become more complex, it becomes even more important to understand the step-by-step process by which we solve them. At Cymath, our goal is to take your understanding of math to a new level.

  21. Order of Operations Practice Questions

    Click here for Answers. . BODMAS, BIDMAS, bodmas, Practice Questions. Previous: Ordering Numbers Practice Questions. Next: Cube Numbers and Cube Roots Practice Questions. The Corbettmaths Practice Questions on the Order of Operations.

  22. Pythagoras Practice Questions

    Click here for Answers. . Practice Questions. Previous: Rotations Practice Questions. Next: Direct and Inverse Proportion Practice Questions. The Corbettmaths Practice Questions on Pythagoras.