List

Year 9 Working Systematically

Fruity Totals
problem
Favourite

Fruity Totals

Age
7 to 16
Challenge level
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In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

Semi-regular Tessellations
problem
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Semi-regular Tessellations

Age
11 to 16
Challenge level
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Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Elevenses
problem
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Elevenses

Age
11 to 14
Challenge level
filled star empty star empty star
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Growing Surprises
problem
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Growing Surprises

Age
11 to 14
Challenge level
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Can you find the connections between linear and quadratic patterns?
Days and Dates
problem
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Days and Dates

Age
11 to 14
Challenge level
filled star empty star empty star
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
What's it worth?
problem
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What's it worth?

Age
11 to 16
Challenge level
filled star empty star empty star

There are lots of different methods to find out what the shapes are worth - how many can you find?

Cinema Problem
problem
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Cinema Problem

Age
11 to 14
Challenge level
filled star empty star empty star

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Tilted Squares
problem
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Tilted Squares

Age
11 to 14
Challenge level
filled star empty star empty star

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

How far does it move?
problem
Favourite

How far does it move?

Age
11 to 14
Challenge level
filled star empty star empty star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Product Sudoku
problem
Favourite

Product Sudoku

Age
11 to 16
Challenge level
filled star filled star empty star

The clues for this Sudoku are the product of the numbers in adjacent squares.

Opposite vertices
problem
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Opposite vertices

Age
11 to 14
Challenge level
filled star filled star empty star

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Wipeout
problem
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Wipeout

Age
11 to 16
Challenge level
filled star filled star empty star
Can you do a little mathematical detective work to figure out which number has been wiped out?
Overlaps
problem
Favourite

Overlaps

Age
11 to 14
Challenge level
filled star filled star empty star
Can you find ways to put numbers in the overlaps so the rings have equal totals?
Alison's quilt
problem
Favourite

Alison's quilt

Age
11 to 14
Challenge level
filled star filled star empty star
Nine squares are fitted together to form a rectangle. Can you find its dimensions?
Counting Factors
problem
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Counting Factors

Age
11 to 14
Challenge level
filled star filled star empty star
Is there an efficient way to work out how many factors a large number has?
Funny Factorisation
problem
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Funny Factorisation

Age
11 to 16
Challenge level
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Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?
1 Step 2 Step
problem
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1 Step 2 Step

Age
11 to 14
Challenge level
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Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
Speeding up, slowing down
problem
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Speeding up, slowing down

Age
11 to 14
Challenge level
filled star filled star empty star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Which solids can we make?
problem
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Which solids can we make?

Age
11 to 14
Challenge level
filled star filled star filled star

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

Nine Colours
problem
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Nine Colours

Age
11 to 16
Challenge level
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Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Triangles to Tetrahedra
problem
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Triangles to Tetrahedra

Age
11 to 14
Challenge level
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Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?
How Many Miles To Go?
problem
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How Many Miles To Go?

Age
11 to 14
Challenge level
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How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Ben's Game
problem
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Ben's Game

Age
11 to 16
Challenge level
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Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Cuboids
problem
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Cuboids

Age
11 to 14
Challenge level
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Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
Up and across
problem
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Up and across

Age
11 to 14
Challenge level
filled star filled star filled star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.