# Stuart Kay's Shop

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6 best buy problems in the style of the new AQA GCSE exam. Each problem asks students to compare three different deals. Students will need to be able to find percentage amounts, fraction of amounts, add and subtract fixed costs and find compound interest. Each best buy problem can easily be turned into am open ended activity by analysing at which point each of the deals will be best value (if possible). Worked solutions for each problem are also included.

#### Constructing Triangles

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This sheet explores which triangles are possible or impossible to construct when given three side lengths. Students will practise using compasses and ruler to construct side-side-side triangles and also think about generalising so that the problem can be solved without drawing. This worksheet is based on a past SAT question.

#### Four operations with 10, 100 and 1000

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Based on a past SAT question use the number cards to add, subtract, multiply and divide by 10, 100 and 1000. Some number chains will have multiple solutions, can they find them all? Answers included.

#### Enlargement on a Grid

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1 sheet, 7+ enlargements. This sheet requires students to enlarge shapes on a grid from a centre of enlargement. The main task uses positive scale factors of 2 or 3. An extension can be to use a scale factor of 0.5 for some of the shapes.

#### GCSE Indices Blitz

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Complete indices skills practice. Includes powers of 0, 1, 2, 3, 4, 5, fractions, negatives and negative fractions. Use for fluency practise. Answers included.

#### Angle Bisectors: Survival Maths

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A real-life context for angle bisectors. Angle bisectors can be used with a clock face to determine compass directions. A alternative to just constructing angles bisectors for the sake of them.

#### Blank 100 Grid Number Investigations

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An activity where students must spot and describe number patterns on shaded BLANK 100 grids. The activity covers odds, evens, multiples, factors, primes, square numbers, cube numbers, triangles numbers, powers of 2 and 3 and some other familiar number sequences. Includes teacher notes and answers.

#### Circumference and Area of Circles (Porthole Costing)

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Calculate the cost of different portholes using the costing for the frame (circumference) and the glass (area).

#### Length, Area and Volume Sketches

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This activity invites students to draw sketches of 2D and 3D shapes with certain perimeters, area and volume. It encourages students to think about easy and hard examples including circular shapes in terms of pi. It is an open task therefore students can use whatever shapes they know already and could then be encouraged to explore others they do not.