Resources tagged with smartphone similar to How Old Am I?:
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Mathematical reasoning & proof. Interactivities. Curious. smartphone. Golden ratio. Patterned numbers. Trial and improvement. Making and proving conjectures. Quadratic equations. Resourceful.There are 117 results
Broad Topics > Information and Communications Technology > smartphone
How Old Am I?
Stage: 4 Challenge Level: 
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?
How Many Miles to Go?
Stage: 3 Challenge Level:
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?
Handshakes
Stage: 3 Challenge Level:
Can you find an efficient method to work out how many handshakes there would be if hundreds of people met?
What's Possible?
Stage: 4 Challenge Level:
Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?
Marbles in a Box
Stage: 3 Challenge Level:
How many winning lines can you make in a three-dimensional version of noughts and crosses?
Curvy Areas
Stage: 4 Challenge Level:
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
On the Edge
Stage: 3 Challenge Level:
If you move the tiles around, can you make squares with different coloured edges?
Make 37
Stage: 2 and 3 Challenge Level:
Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.
What's it Worth?
Stage: 3 and 4 Challenge Level:
There are lots of different methods to find out what the shapes are worth - how many can you find?
Partly Circles
Stage: 4 Challenge Level:
What is the same and what is different about these circle questions? What connections can you make?
Days and Dates
Stage: 3 Challenge Level:
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Quadrilaterals Game
Stage: 3 Challenge Level:
A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and. . . .
Children at Large
Stage: 3 Challenge Level:
There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?
Golden Thoughts
Stage: 4 Challenge Level:
Rectangle PQRS has X and Y on the edges. Triangles PQY, YRX and XSP have equal areas. Prove X and Y divide the sides of PQRS in the golden ratio.
Pair Products
Stage: 4 Challenge Level:
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
Odd Differences
Stage: 4 Challenge Level:
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
Always Perfect
Stage: 4 Challenge Level:
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
Eight Hidden Squares
Stage: 2 and 3 Challenge Level:
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
Shady Symmetry
Stage: 3 Challenge Level:
How many different symmetrical shapes can you make by shading triangles or squares?
Painted Cube
Stage: 3 Challenge Level:
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
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?
Sending a Parcel
Stage: 3 Challenge Level:
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
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?
Mirror, Mirror...
Stage: 3 Challenge Level:
Explore the effect of reflecting in two parallel mirror lines.
Route to Infinity
Stage: 3 Challenge Level:
Can you describe this route to infinity? Where will the arrows take you next?
Beelines
Stage: 4 Challenge Level:
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
Largest Product
Stage: 3 Challenge Level:
Which set of numbers that add to 10 have the largest product?
Picturing Square Numbers
Stage: 3 Challenge Level:
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Power Mad!
Stage: 3 Challenge Level:
Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.
Repetitiously
Stage: 3 Challenge Level:
The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?
Salinon
Stage: 4 Challenge Level:
This shape comprises four semi-circles. What is the relationship between the area of the shaded region and the area of the circle on AB as diameter?
Mixing More Paints
Stage: 3 Challenge Level:
Is it always possible to combine two paints made up in the ratios 1:x and 1:y and turn them into paint made up in the ratio a:b ? Can you find an efficent way of doing this?
Keep it Simple
Stage: 3 Challenge Level:
Can all unit fractions be written as the sum of two unit fractions?
Litov's Mean Value Theorem
Stage: 3 Challenge Level:
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
Product Sudoku
Stage: 3 Challenge Level:
The clues for this Sudoku are the product of the numbers in adjacent squares.
Weights
Stage: 3 Challenge Level:
Different combinations of the weights available allow you to make different totals. Which totals can you make?
Squares in Rectangles
Stage: 3 Challenge Level:
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What size rectangle(s) contain(s) exactly 100 squares? Can you find them all?
Elevenses
Stage: 3 Challenge Level:
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Trapezium Four
Stage: 4 Challenge Level:
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?
M, M and M
Stage: 3 Challenge Level:
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Attractive Rotations
Stage: 3 Challenge Level:
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
Sissa's Reward
Stage: 3 Challenge Level:
Sissa cleverly asked the King for a reward that sounded quite modest but turned out to be rather large...
Fractions Jigsaw
Stage: 3 Challenge Level:
A jigsaw where pieces only go together if the fractions are equivalent.
Who Is the Fairest of Them All ?
Stage: 3 Challenge Level:
Explore the effect of combining enlargements.
Hexy-metry
Stage: 4 Challenge Level:
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
The Spider and the Fly
Stage: 4 Challenge Level:
A spider is sitting in the middle of one of the smallest walls in a room and a fly is resting beside the window. What is the shortest distance the spider would have to crawl to catch the fly?
Dozens
Stage: 2 and 3 Challenge Level:
Do you know a quick way to check if a number is a multiple of two? How about three, four or six?
NRICH is part of the family of activities in the Millennium Mathematics Project.