Other tags that relate to Which Numbers? (1)
Working systematically. Multiplication & division. Selecting and using information. Addition & subtraction. Generalising. Divisibility. Prime numbers. Factors and multiples. Making and testing hypotheses. Odd and even numbers.There are 28 results
Broad Topics > Thinking Mathematically > Making and testing hypotheses
Which Numbers? (1)
Age 7 to 11
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?
Which Numbers? (2)
Age 7 to 11
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?
Table Patterns Go Wild!
Age 7 to 11
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.
Four Coloured Lights
Age 11 to 14
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
Age 7 to 11
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?
Charlie's Delightful Machine
Age 11 to 16
Challenge Level
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Marvellous Matrix
Age 7 to 11
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?
Seven Pots of Plants
Age 7 to 11
Challenge Level
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
Light the Lights Again
Age 7 to 11
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?
Count the Digits
Age 5 to 11
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?
Where Can We Visit?
Age 11 to 14
Challenge Level
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?
Arithmagons
Age 11 to 16
Challenge Level
Can you find the values at the vertices when you know the values on the edges?
Cuboid Challenge
Age 11 to 16
Challenge Level
What's the largest volume of box you can make from a square of paper?
How Much Can We Spend?
Age 11 to 14
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?
Fit These Shapes
Age 5 to 11
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?
In the Bag
Age 11 to 14
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?
Can They Be Equal?
Age 11 to 14
Challenge Level
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Folding, Cutting and Punching
Age 7 to 11
Challenge Level
Exploring and predicting folding, cutting and punching holes and making spirals.
Searching for Mean(ing)
Age 11 to 16
Challenge Level
If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?
Sorting Logic Blocks
Age 5 to 11
Challenge Level
This activity focuses on similarities and differences between shapes.
Poly Plug Rectangles
Age 5 to 14
Challenge Level
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
National Flags
Age 7 to 11
Challenge Level
This problem explores the shapes and symmetries in some national flags.
Troublesome Triangles
Age 7 to 14
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. . . .
Babylon Numbers
Age 11 to 18
Challenge Level
Can you make a hypothesis to explain these ancient numbers?
Reaction Timer
Age 11 to 14
Challenge Level
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
Observing the Sun and the Moon
Age 7 to 14
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.
Ishango Bone
Age 7 to 18
Challenge Level
Can you decode the mysterious markings on this ancient bone tool?
NRICH is part of the family of activities in the Millennium Mathematics Project.