Resources tagged with: Posing questions and making conjectures
There are 71 NRICH Mathematical resources connected to Posing questions and making conjectures, you may find related items under Thinking mathematically.
Broad Topics > Thinking mathematically > Posing questions and making conjectures
Guess What?
Can you find out which 3D shape your partner has chosen before they work out your shape?
Six Numbered Cubes
This task combines spatial awareness with addition and multiplication.
Six Ten Total
This challenge combines addition, multiplication, perseverance and even proof.
Division Rules
This challenge encourages you to explore dividing a three-digit number by a single-digit number.
Magic Letters
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Sticky Data
You'll need to work in a group on this problem. Use your sticky notes to show the answer to questions such as 'how many girls are there in your group?'.
Poly Plug Rectangles
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?
Multiplication Arithmagons
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
What Numbers Can We Make?
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
Count the Digits
In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
Sorting Logic Blocks
This activity focuses on similarities and differences between shapes.
Light the Lights
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Light the Lights Again
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?
Charlie's Delightful Machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
A Little Light Thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
Our Numbers
These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?
What Shape?
This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
En-counters
This task requires learners to explain and help others, asking and answering questions.
Stick Images
This task requires learners to explain and help others, asking and answering questions.
Counters in the Middle
This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
I Like ...
Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Table Patterns Go Wild!
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.
How Much Can We Spend?
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?
Cuboid Challenge
What's the largest volume of box you can make from a square of paper?
Can They Be Equal?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Searching for Mean(ing)
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?
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Interactive Spinners
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Consecutive Negative Numbers
Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?
Spaces for Exploration
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
Arithmagons
Can you find the values at the vertices when you know the values on the edges?
Tilted Squares
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Pair Products
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Pick's Theorem
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Where Can We Visit?
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?
Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Tiling
An investigation that gives you the opportunity to make and justify predictions.
Logic Block Collections
What do you think is the same about these two Logic Blocks? What others do you think go with them in the set?
Least of All
A point moves on a line segment. A function depends on the position of the point. Where do you expect the point to be for a minimum of this function to occur.
Impossible Triangles?
Which of these triangular jigsaws are impossible to finish?
Tables Without Tens
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
Trig Rules OK
Change the squares in this diagram and spot the property that stays the same for the triangles. Explain...
Sheep Talk
In sheep talk the only letters used are B and A. A sequence of words is formed by following certain rules. What do you notice when you count the letters in each word?
Polite Numbers
A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?
Marvellous Matrix
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?
Folding, Cutting and Punching
Exploring and predicting folding, cutting and punching holes and making spirals.
Path to the Stars
Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
Polycircles
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?