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Resources tagged with thoughtful similar to Factors and Multiples Puzzle:

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Dozens

Stage: 2 and 3 Challenge Level: Challenge Level:1

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

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The Remainders Game

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

A game that tests your understanding of remainders.

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Missing Multipliers

Stage: 3 Challenge Level: Challenge Level:1

What is the smallest number of answers you need to reveal in order to work out the missing headers?

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Funny Factorisation

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each once and only once. The number 4396 can be written as just such a product. Can. . . .

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Gabriel's Problem

Stage: 3 Challenge Level: Challenge Level:1

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

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Shifting Times Tables

Stage: 3 Challenge Level: Challenge Level:1

Can you find a way to identify times tables after they have been shifted up?

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Cryptarithms

Stage: 3 Challenge Level: Challenge Level:1

Can you crack these cryptarithms?

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Wipeout

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you do a little mathematical detective work to figure out which number has been wiped out?

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Which Solids Can We Make?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Cuboids

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

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Triangles to Tetrahedra

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

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A Chance to Win?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

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Product Sudoku

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Forwards Add Backwards

Stage: 3 Challenge Level: Challenge Level:1

What happens when you add a three digit number to its reverse?

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Tower of Hanoi

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

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Stars

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?

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Substitution Cipher

Stage: 3 Challenge Level: Challenge Level:1

Find the frequency distribution for ordinary English, and use it to help you crack the code.

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Frogs

Stage: 3 Challenge Level: Challenge Level:1

How many moves does it take to swap over some red and blue frogs? Do you have a method?

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What Does Random Look Like?

Stage: 3 Challenge Level: Challenge Level:1

Engage in a little mathematical detective work to see if you can spot the fakes.

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Shapely Pairs

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

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Sociable Cards

Stage: 3 Challenge Level: Challenge Level:1

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

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Unequal Averages

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Play around with sets of five numbers and see what you can discover about different types of average...

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Property Chart

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

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Reversals

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Where should you start, if you want to finish back where you started?

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Charlie's Delightful Machine

Stage: 3 and 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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Two and Two

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many solutions can you find to this sum? Each of the different letters stands for a different number.

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M, M and M

Stage: 3 Challenge Level: Challenge Level:1

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

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Isosceles Triangles

Stage: 3 Challenge Level: Challenge Level:1

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

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Where Can We Visit?

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

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How Much Can We Spend?

Stage: 3 Challenge Level: Challenge Level:1

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

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In a Box

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

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Odds and Evens

Stage: 3 Challenge Level: Challenge Level:1

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

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Difference Sudoku

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use the differences to find the solution to this Sudoku.

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A Little Light Thinking

Stage: 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

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Constructing Triangles

Stage: 3 Challenge Level: Challenge Level:1

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

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Semi-regular Tessellations

Stage: 3 Challenge Level: Challenge Level:1

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

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Finding Factors

Stage: 4 Challenge Level: Challenge Level:1

Can you find the hidden factors which multiply together to produce each quadratic expression?

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Last One Standing

Stage: 4 Challenge Level: Challenge Level:1

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

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Nice or Nasty

Stage: 2 and 3 Challenge Level: Challenge Level:1

There are nasty versions of this dice game but we'll start with the nice ones...

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Multiplication Arithmagons

Stage: 4 Challenge Level: Challenge Level:1

Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?

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Dicey Operations

Stage: 3 Challenge Level: Challenge Level:1

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

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Attractive Tablecloths

Stage: 4 Challenge Level: Challenge Level:1

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

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How Old Am I?

Stage: 4 Challenge Level: Challenge Level:1

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

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Cosy Corner

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

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Two's Company

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

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Perception Versus Reality

Stage: 4 and 5 Challenge Level: Challenge Level:1

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

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Which Spinners?

Stage: 4 Challenge Level: Challenge Level:1

Can you work out which spinners were used to generate the frequency charts?

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Arithmagons

Stage: 4 Challenge Level: Challenge Level:1

Can you find the values at the vertices when you know the values on the edges?

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Cops and Robbers

Stage: 2, 3 and 4 Challenge Level: Challenge Level:1

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

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Transformation Game

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Why not challenge a friend to play this transformation game?