\( \DeclareMathOperator{cosec}{cosec} \)

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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Algebraic Perimeters Questions about the perimeters and areas of polygons given as algebraic expressions.
- Simultaneous Shopping Find the cost of the individual items in shopping baskets (introduction to simultaneous equations).
- Algebra In Action Real life problems adapted from an old Mathematics textbook which can be solved using algebra.
- Simultaneous Equations Video Learn to solve simultaneous equations from the very basic to those containing quadratics. This video is to help you do the online, self-marking exercise.
- Simultaneous Equations A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.
- Unbeknownst Some picture grid puzzles which can be solved by using simultaneous equations.

Here are some exam-style questions on this statement:

- "
*The diagram shows an isosceles triangle (not drawn to scale).*" ... more - "
*The diagrams show a triangle and a rectangle (not drawn to scale).*" ... more - "
*The perimeter of the triangle is the same length as the perimeter of the square.*" ... more - "
*Aimee, Natasha and Ruby play hockey.*" ... more - "
*Luke, Leia and Han swim lengths of a swimming pool to raise money for charity.*" ... more - "
*Solve the simultaneous equations*" ... more - "
*Two rectangles, not drawn to scale, are shown below. All measurements are in centimetres. Both rectangles have the same areas. Work out the perimeter of the rectangle on the left.*" ... more - "
*Solve the simultaneous equations:*" ... more - "
*The area of rectangle PQRS (not to scale) is 80cm*" ... more^{2}. - "
*A rectangular sheet of paper can be cut into two identical rectangular pieces in two different ways, either by cutting along line A or by cutting along line B.*" ... more - "
*Rätselzeit school has an annual sports day in which the mathematics teachers are in charge of the scoring system.*" ... more - "
*Two numbers are chosen so that the sum of their squares is 25.*" ... more - "
*The prices of two watches are in the ratio \(a:b\).*" ... more

Here are some Advanced Starters on this statement:

**Exceeds by 99**

Find the number whose double exceeds its half by exactly 99. more**Piece of String**

Find where a piece of string should be cut to form a circle and a square of equal areas. more**Reverse Connection**

Find a general rule for the difference between a two digit number and that same number with the digits reversed. more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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