List

Year 9 Working systematically

Fruity Totals
problem

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?
Elevenses
problem

Elevenses

Age
11 to 14
Challenge level
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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

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

Days and Dates

Age
11 to 14
Challenge level
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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

What's it worth?

Age
11 to 16
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?
Cinema Problem
problem

Cinema Problem

Age
11 to 14
Challenge level
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A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
Product Sudoku
problem

Product Sudoku

Age
11 to 16
Challenge level
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The clues for this Sudoku are the product of the numbers in adjacent squares.
Wipeout
problem

Wipeout

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

Overlaps

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

Alison's quilt

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

Counting Factors

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

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

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?
Ben's Game
problem

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

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?
Nine Colours
problem

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

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

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?