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Mathematics Resources

Multi-topic questions

Students find questions more challenging when different topics are combined within a question and the setting of the question is slightly unfamiliar. The level of the questions available will, over time, cover Grades 3/4 to Grades 10/11 (and hopefully beyond!)

Sign up here to receive the Mathematics Questions – Newsletter. Once you sign up to the newsletter, you will receive it periodically for those mathematics questions where I can provide extra help, ideas and other support for their use in the classroom. Plus, over time, the newsletter will include feedback from teachers who have used the questions in the classroom.

The Questions

Mathematics Questions 1 to 6 – December/January 2020

The Mathematics Questions 1 to 3 are available here in one zip file.

The Mathematics Questions 4-6 are available here in one zip file.

To receive Mathematics Questions 1 to 9, plus the supporting newsletter, sign up here for the Mathematics Questions – Newsletter.

Monday 8th February 2021

Mathematics Question 7 ratio, algebra, solving equations

This week’s question is for lower grades. It deals with three brothers who have each been given some money by an elderly relative. It is my first question where I have specifically stated the working must be shown. (More about this in Mathematics Questions – Newsletter No. 3. Sign up here to receive it.)

Three brothers, Andre, Emmanuel and Pierre, each receive money from an elderly relative, in the ratio 12:7:15.

Andre decides to give Emmanuel £4.

Pierre decides to give Emmanuel £22.

The brothers each now have the same amount of money.

How much money did each brother receive from the elderly relative?

You must show your working.

Download Mathematics Question – Number 7without answers

Download Mathematics Question – Number 7 with answers

Monday 15th February 2021

Mathematics Question 8 bearings, scale drawing, properties of quadrilaterals, symmetry, cosine rule, sine rule

This week’s question looks like it might be the one that covers the most topics yet! (If you ask the students to do a scale drawing/they decide to find answers using particular strategies.) The question uses few words but, after drawing a rough diagram, students will see it is rather complicated! Again, I have stated that students must show their working.

Caster is 22 km from Beau on a bearing of 54o.

Sien is 16 km from Caster and 32 km from Beau.

Find the bearing of Beau from Sien.

You must show your working.

Download Mathematics Question – Number 8without answers

Download Mathematics Question – Number 8 with answers

Monday 22nd February 2021

Mathematics Question 9 equation of a circle, ratio, cosine rule

Equation of a circle appears for the first time this week, within a question about four concentric circles. (More about a sport that uses such a set of circles in Mathematics Questions – Newsletter No. 3. Sign up here to receive it.)

The diagram shows four concentric circles, A, B, C and D, each with centre O.

The four circles have radii in the ratio 12:8:4:1

The equation of circle C is x2 + y2 = 4

R and S are each a point on a circle.

RS = √76 cm

(The diagram is not drawn accurately.)

Work out the size of angle ROS.

Download Mathematics Question – Number 9without answers

Download Mathematics Question – Number 9 with answers

Monday 1st March 2021

Mathematics Question 10 ratio, mean, simple algebra

This week’s question is for lower grades. Looking at handling data for the first time.

Here are two sets of data – S and T.

S T
    210   150   114   90  260  410  473  310  b

mean of set S : mean of set T = 3 : 7

Find the value of b.

Download Mathematics Question – Number 10without answers

Download Mathematics Question – Number 10 with answers

Sharing your students feedback

To share students’ solutions to any question, and any feedback they give you about working with the questions, email nilsbird training. They can then be shared in the Mathematics Questions – Newsletter and on this page.

To share your experiences of using any question with students, email nilsbird training. They can then be shared on this page.

Books for sale

Two ex-author copies available of Cambridge IGCSE® Additional Maths Teacher’s Guide, supporting IGCSE® and O Level Additional Mathematics syllabuses (0606/4037), examination from 2020.
£70 each plus postage.

Please email nilsbird training for further information.

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