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To get started, read the Assessment Guide.

Each task includes a task worksheet and teachers guide (containing all the required materials) and a presentation for projection (optional for most tasks).

Task name Time
(mins)
Suitability **
(N.C. level)
Task & guide Presentation
1 110 Years On 45 5-8 PDF DOC PPT
Pupils use mathematical reasoning to estimate the number of descendants a girl who lived 110 years ago might have today.
2 Bunting 45-60 5-8 PDF DOC PPT
Pupils work out how much material is needed to make bunting to go round a garden.
3 Candle Box 30-60 4-6 PDF DOC PPT
Pupils design a 2D net for a box, given a 3D picture of the box.
4 Cats and Kittens 45-60 5-8 PDF DOC PPT
Pupils work out how many descendents one female cat could produce in 18 months.
5 Counting Trees 30-60 4-7 PDF DOC PPT
Pupils devise a method for estimating the numbers of trees in a plantation then use their method to estimate the numbers of two different kinds of tree.
6 Day Out 30-60 4-5 PDF DOC PPT
Pupils are asked to choose the best trip using survey data and then cost it.
7 Fares not Fair 45-60 6-8 PDF DOC PPT
Pupils determine whether the rates for taxi fares, set by a local council, are fair in relation to the changing cost of fuel.
8 Fish Dish 30-60 5-6 PDF DOC PPT
Pupils plan when they should start preparing a meal in order to have it ready by a stated time.
9 Fruit Pies 60 6-8 PDF DOC PPT
Pupils use their knowledge of area of circles and rectangles to solve a problem.
10 Geoboard Squares 30-60 6-7 PDF DOC PPT
Pupils Investigate patterns in the number of nails on a geoboard used to form a square.
11 German or English 45 4-7 PDF DOC PPT
Pupils use pie charts to decide whether a code is more likely to be in German or English.
12 Golden Rectangles 30-60 4-6+ PDF DOC PPT
Pupils work out how adventurers can maximise the area in which they can dig for gold given a fixed perimeter.
13 Hilbre Island 30-60 4-7 PDF DOC PPT
Pupils determine the optimum time to visit Hilbre Island, taking account of given considerations.
14 Hot Under the Collar 20-40 7-8 PDF DOC PPT
Pupils compare two rules for converting Celsius to Fahrenheit, one accurate and one approximate.
15 Ice Cream 30-60 5-6 PDF DOC PPT
Pupils plan quantities they will buy in order to maximise their profit from selling ice creams at a school event.
16 Lottery 20-40 5-6 PDF DOC PPT
Pupils decide whether or not a lottery will be a good way to raise money.
17 Magic Sum Puzzle 30-60 5-7 PDF DOC PPT
Pupils analyse a numerical puzzle, solve some examples and then deduce that a further example is impossible.
18 Mobile Phones 20-40 6-7 PDF DOC PPT
Pupils compare two different mobile phone tariffs and decide when one is cheaper than the other.
19 Olympic Cycling 30 3-6 PDF DOC PPT
Pupils interpret and apply data through devising questions (and answers) relating to lap times in a cycling race.
20 Patchwork Cushions 30-60 6-7 PDF DOC PPT
Pupils are asked to find a method for calculating the number of triangles and squares that are needed to make cushions in different sizes.
21 Problem Page 45-60 6-8 PDF DOC PPT
Pupils interpret the graph provided to give advice on the statistical ‘acceptability’ of age gaps in relationships.
22 Public Transport 30-45 5-8 PDF DOC PPT
Pupils analyse a newspaper article, evaluating its (mathematical) claims and identifying its flaws.
23 Rods and Triangles 30 4-7 PDF DOC PPT
Pupils work with the properties of triangles through combining a range of rods to make different types of triangle.
24 Royal Liver Clock 45 6-8 PDF DOC PPT
Pupils apply their knowledge of circles and show their ability to estimate appropriately.
25 Security Camera 30-60 4-7 PDF DOC PPT
Pupils select the best position to put a security camera in a shop.
26 Smoothie Box 30-60 6-6 PDF DOC PPT
Pupils measure a bottle and then design a box that will hold 12 bottles.
27 Soft Drinks 30-60 5-6 PDF DOC PPT
Pupils compare two sets of data with different sample sizes and consider how the testing procedure could be improved.
28 Speedy Santa 30-60 4-7 PDF DOC PPT
Pupils determine the amount of time Santa can spend at each house in the UK when delivering presents on Christmas Eve.
29 Spinner Bingo 30-60 6-8 PDF DOC PPT
Pupils analyse a simple game and plan a winning strategy.
30 Sports Bag 20-40 5-6 PDF DOC PPT
Pupils design a sports bag, and show all the measurements they will need to make. They also plan how they will waste the least material.
31 Taxi Cabs 20-40 5-5 PDF DOC PPT
Pupils plan a trip for a large party using two kinds of taxi cab. They try to decide how many of each cab they need to minimise the overall transport costs.
32 The Z Factor 45-60 3-8 PDF DOC PPT
Pupils determine how long it would take a panel of judges if they saw every act that auditioned for the ‘Z factor’ programme.
33 Three of a Kind 30-60 3-8 PDF DOC PPT
Pupils use their knowledge of geometry to describe a pattern.
34 Tuck Shop 30-60 4-5 PDF DOC PPT
Pupils are asked to draw graphs to represent data and to critique an erroneous interpretation of the data.
35 Youth Hostel 30-60 5-6 PDF DOC PPT
Pupils work out the best way of allocating dorms at a Youth Hostel to a group of children and adults.

Notes

**The level suitabilities are provided to give teachers an idea of the pupils for whom the task is suitable. They are not precise limits on the level of possible outcomes from the task. When used in the type of classroom activities described in the Professional Development, the tasks are suitable for a wide range of ability and the level of difficulty can be regulated by the amount of support given by the teacher or by peers.

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