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Weekly Workout 5

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If \(F = ma\) find \(F\) when \(m=-3\) and \(a=1.1\)

Correct Wrong

Betsy cycled 2.2 million centimetres yesterday! Convert 2,200,000 cm to kilometres.

Correct Wrong

Find the median of these numbers:

\( 2.34, \frac95, \frac{11}{4}, \frac17, 2.1 \)

Correct Wrong

Composite Shape

Two identical circles, each with a diameter of 3cm are cut out of a trapezium with a height of 4cm. Calculate the remaining purple area in square centimetres to three significant figures.

Correct Wrong

Expand the following expression

\( (x+7)(x-3) \)

What is the coefficient of \(x\) in the expansion?

Correct Wrong

What is the value of \(a\) that satisfies these two simultaneous equations?

\( 3a+5b=45 \)
\( 3a-2b=3 \)

Correct Wrong

On the same sheet of graph paper draw the graphs of the following equations for \(-2 \le x \le 4\) and write down the coordinates of the points where the graphs intersect.

\(y=2x-1\) and \(y=x^2-2x-5 \)

Show your completed graph and answers to your teacher.

Exam-style questions designed for students targeting grades 4 or 5 of the GCSE(9-1) Mathematics examination.

This page is designed to be printed so it can be used by students who do not have computer access.

© 2016-2017 Transum Mathematics :: This activity can be found online at: www.transum.org/Maths/Exam/Weekly_Workout.asp?Level=5

These Weekly Workouts could be used as a weekend homework, a Friday test or the focus for an individual tutorial. It should highlight any areas of the syllabus that are not well understood so that further remedial action can be taken.

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Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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These Weekly Workouts are designed for students on Mathematics GCSE(9-1) Foundation level courses who are hoping to achieve one of the higher grades available. Each Weekly Workout contains 7 exam-style questions. The first six can be answered online but the seventh requires the student to draw something for their teacher to check. Each Workout can also be printed and they can be made to fit neatly onto one A4 page.

Week 1 - Weekly Workout for week 1

Week 2 - Weekly Workout for week 2

Week 3 - Weekly Workout for week 3

Week 4 - Weekly Workout for week 4

Week 5 - Weekly Workout for week 5

Week 6 - Weekly Workout for week 6 (available to subscribers only)

Week 7 - Weekly Workout for week 7 (available to subscribers only)

Week 8 - Weekly Workout for week 8 (available to subscribers only)

Week 9 - Weekly Workout for week 9 (available to subscribers only)

Week 10 - Weekly Workout for week 10 (available to subscribers only)

Week 11 - Weekly Workout for week 11 (available to subscribers only)

Week 12 - Weekly Workout for week 12 (available to subscribers only)

Week 13 - Weekly Workout for week 13 (available to subscribers only)

Week 14 - Weekly Workout for week 14 (available to subscribers only)

Week 15 - Weekly Workout for week 15 (available to subscribers only)

Week 16 - Weekly Workout for week 16 (available to subscribers only)

Week 17 - Weekly Workout for week 17 (available to subscribers only)

Week 18 - Weekly Workout for week 18 (available to subscribers only)

Week 19 - Weekly Workout for week 19 (available to subscribers only)

Week 20 - Weekly Workout for week 20 (available to subscribers only)

Week 21 - Weekly Workout for week 21 (available to subscribers only)

Week 22 - Weekly Workout for week 22 (available to subscribers only)

Week 23 - Weekly Workout for week 23 (available to subscribers only)

Week 24 - Weekly Workout for week 24 (available to subscribers only)

Week 25 - Weekly Workout for week 25 (available to subscribers only)

There are 25 Weekly Workouts and the Workouts for week six onwards are available to Transum subscribers only.

Using a printable mark sheet to record progress through the Weekly Workouts is recommended.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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