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#### Resources tagged with Making and testing hypotheses similar to Which Numbers? (2):

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Broad Topics > Using, Applying and Reasoning about Mathematics > Making and testing hypotheses

### Which Numbers? (2)

##### Stage: 2 Challenge Level:

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

### Which Numbers? (1)

##### Stage: 2 Challenge Level:

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?

### Table Patterns Go Wild!

##### Stage: 2 Challenge Level:

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

### Seven Pots of Plants

##### Stage: 2 Challenge Level:

There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.

### Four Coloured Lights

##### Stage: 3 Challenge Level:

Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?

### The Mathemagician's Seven Spells

##### Stage: 2 Challenge Level:

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

### Locate the Lion's Lair

##### Stage: 2 Challenge Level:

Use the sightings of the lion to guess the location of its lair.

### In the Bag

##### Stage: 3 Challenge Level:

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

### Spot Thirteen

##### Stage: 2 Challenge Level:

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

### Count the Digits

##### Stage: 1 and 2 Challenge Level:

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

### Fit These Shapes

##### Stage: 1 and 2 Challenge Level:

What is the largest number of circles we can fit into the frame without them overlapping? How do you know? What will happen if you try the other shapes?

### Charlie's Delightful Machine

##### Stage: 3 and 4 Challenge Level:

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

### Light the Lights

##### Stage: 2 Challenge Level:

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

### See the Light

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

Work out how to light up the single light. What's the rule?

### Light the Lights Again

##### Stage: 2 Challenge Level:

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

### Marvellous Matrix

##### Stage: 2 Challenge Level:

Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?

### Troublesome Triangles

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

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

### Gr8 Coach

##### Stage: 3 Challenge Level:

Can you coach your rowing eight to win?

### Babylon Numbers

##### Stage: 3, 4 and 5 Challenge Level:

Can you make a hypothesis to explain these ancient numbers?

### Arithmagons

##### Stage: 3 Challenge Level:

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

### How Much Can We Spend?

##### Stage: 3 Challenge Level:

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?

### Searching for Mean(ing)

##### Stage: 3 Challenge Level:

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

### Folding, Cutting and Punching

##### Stage: 2 Challenge Level:

Exploring and predicting folding, cutting and punching holes and making spirals.

### Sorting Letters

##### Stage: 1 and 2 Challenge Level:

This interactivity allows you to sort letters of the alphabet into two groups according to different properties.

### The Olympic Flame: Are You in the 95%?

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

95% of people in Britain should live within 10 miles of the route of the Olympic Torch tour. Is this true?

### Different Sizes

##### Stage: 1 and 2 Challenge Level:

A simple visual exploration into halving and doubling.

### Introducing NRICH TWILGO

##### Stage: 1, 2, 3, 4 and 5 Challenge Level:

We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?

### Sorting Logic Blocks

##### Stage: 1 and 2 Challenge Level:

This interactivity allows you to sort logic blocks by dragging their images.

### White Box

##### Stage: 2, 3, 4 and 5 Challenge Level:

This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

### Cuboid Challenge

##### Stage: 3 Challenge Level:

What size square corners should be cut from a square piece of paper to make a box with the largest possible volume?

### Where Can We Visit?

##### Stage: 3 Challenge Level:

Charlie and Lynne 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?

### National Flags

##### Stage: 2 Challenge Level:

This problem explores the shapes and symmetries in some national flags.

### Two Classes Working on Counting Cogs

##### Stage: 1, 2, 3, 4 and 5 Challenge Level:

Two video clips of classes organised into groups to work on Counting Cogs.

### Observing the Sun and the Moon

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

How does the time of dawn and dusk vary? What about the Moon, how does that change from night to night? Is the Sun always the same? Gather data to help you explore these questions.

### On the Importance of Pedantry

##### Stage: 3, 4 and 5

A introduction to how patterns can be deceiving, and what is and is not a proof.

### Can They Be Equal?

##### Stage: 3 Challenge Level:

Can you find rectangles where the value of the area is the same as the value of the perimeter?

### Reaction Timer

##### Stage: 3 Challenge Level:

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

### Ishango Bone

##### Stage: 2, 3, 4 and 5 Short Challenge Level:

Can you decode the mysterious markings on this ancient bone tool?