Nrich how old is gran

There are lots of different methods to find out what the shapes are worth - how many can you find? Lynne suggests activities which support the development of primary children's algebraic thinking. By following through the threads of algebraic thinking discussed in this article, we can ensure that children's mathematical experiences follow a continuous progression.

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make? When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is? Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked? Sam's grandmother has an old recipe for cherry buns.

She has enough mixture to put 45 grams in each of 12 paper cake cases. What was the weight of one egg? Cassandra, David and Lachlan are brothers and sisters. They range in age between 1 year and 14 years. Can you figure out their exact ages from the clues? There are three buckets each of which holds a maximum of 5 litres. Use the clues to work out how much liquid there is in each bucket. In a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age.

Can you discover which year De Morgan was born in? Peter, Melanie, Amil and Jack received a total of 38 chocolate eggs. Use the information to work out how many eggs each person had. Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks? Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed? Main menu Search.

Resources tagged with: Introducing algebra. Your Number Was Age 11 to 14 Challenge Level Think of a number and follow my instructions. 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. We received lots of correct answers to the first part of the problem. An anonymous solver used a trial-and-improvement method: First I added the two 15s which gave me a total of 30 so I knew that the square number and its square root had to have a difference of So I halved 30 which gave me 15 and I added that to 6 and the answer was Aporva used a neat numerical method: To solve this problem, I wrote down the square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, Then, I crossed out all the numbers under 30, since my age couldn't be negative.

This left: 36, 49, 64, 81, Then, I took away 30 from all the numbers, squared it, and looked if it was the same number. If it was, I took away 15 from the square number to find my age. I realised that it was not logical to go on since I had the answer and since the the numbers where getting too big.

Here is Milena's solution: We can solve the problems which are presented to us through quadratic equations. How many did they start with? This article for teachers describes how number arrays can be a useful representation for many number concepts. What is the smallest natural number with exactly 36 factors? How can you use just one weighing to find out which box contains the lighter ten coins out of the ten boxes?

Main menu Search. Resources tagged with: Factors and multiples. Other tags that relate to Penta Primes Prime numbers. Digit cards. Working systematically. Factors and multiples. Multiply Multiples 1 Age 7 to 11 Challenge Level Can you complete this calculation by filling in the missing numbers? Can you find different ways of doing it? Neighbours Age 7 to 11 Challenge Level In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other.

Multiplication Squares Age 7 to 11 Challenge Level Can you work out the arrangement of the digits in the square so that the given products are correct?

Sweets in a Box Age 7 to 11 Challenge Level How many different shaped boxes can you design for 36 sweets in one layer? Can you work out how long it is between each super-eclipse? Curious Number Age 7 to 11 Challenge Level Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Rearranged Rectangle Age 7 to 11 Challenge Level How many different rectangles can you make using this set of rods?

Tiling Age 7 to 11 Challenge Level An investigation that gives you the opportunity to make and justify predictions. Multiply Multiples 2 Age 7 to 11 Challenge Level Can you work out some different ways to balance this equation? Fitted Age 7 to 11 Challenge Level Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. Sets of Numbers Age 7 to 11 Challenge Level How many different sets of numbers with at least four members can you find in the numbers in this box?

Gran, How Old Are You? Age 7 to 11 Challenge Level When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Divide it Out Age 7 to 11 Challenge Level What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

Fractions in a Box Age 7 to 11 Challenge Level The discs for this game are kept in a flat square box with a square hole for each.

Abundant Numbers Age 7 to 11 Challenge Level 48 is called an abundant number because it is less than the sum of its factors without itself.

Multiples Grid Age 7 to 11 Challenge Level What do the numbers shaded in blue on this hundred square have in common? Seven Flipped Age 7 to 11 Challenge Level Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Pebbles Age 7 to 11 Challenge Level Place four pebbles on the sand in the form of a square. How Old Are the Children? Age 11 to 14 Challenge Level A student in a maths class was trying to get some information from her teacher. Eminit Age 11 to 14 Challenge Level The number Three Dice Age 7 to 11 Challenge Level Investigate the sum of the numbers on the top and bottom faces of a line of three dice.

The Remainders Game Age 7 to 14 Challenge Level Play this game and see if you can figure out the computer's chosen number. Times Right Age 11 to 16 Challenge Level Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. Product Sudoku Age 11 to 16 Challenge Level The clues for this Sudoku are the product of the numbers in adjacent squares.

Crossings Age 7 to 11 Challenge Level In this problem we are looking at sets of parallel sticks that cross each other.