Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all? Investigate the different shaped bracelets you could make from 18 different spherical beads.
How do they compare if you use 24 beads? Here's a game to play with an adult! How do you play? You'll need an adult to play with.
Watch the video of this game being played. Can you work out the rules? Which dice totals are good to get, and why? Main menu Search. Factors and Multiples KS2. Pebbles Age 7 to 11 Challenge Level Place four pebbles on the sand in the form of a square.
Sweets in a Box Age 7 to 11 Challenge Level How many different shaped boxes can you design for 36 sweets in one layer? 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. Flashing Lights Age 7 to 11 Challenge Level Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second.
Can you work out how long it is between each super-eclipse? 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? Factor Lines Age 7 to 14 Challenge Level Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Cycling Squares Age 7 to 11 Challenge Level Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only? Which Is Quicker? Age 7 to 11 Challenge Level Which is quicker, counting up to 30 in ones or counting up to in tens?
Up and Down Staircases Age 7 to 11 Challenge Level One block is needed to make an up-and-down staircase, with one step up and one step down. Factors and Multiples Game Age 7 to 16 Challenge Level This game can replace standard practice exercises on finding factors and multiples. Factor-multiple Chains Age 7 to 11 Challenge Level Can you see how these factor-multiple chains work? Picture a Pyramid Age 7 to 11 Challenge Level Imagine a pyramid which is built in square layers of small cubes.
Factors and Multiples Puzzle Age 11 to 14 Challenge Level Using your knowledge of the properties of numbers, can you fill all the squares on the board? American Billions Age 11 to 14 Challenge Level Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by Sieve of Eratosthenes Age 11 to 14 Challenge Level Follow this recipe for sieving numbers and see what interesting patterns emerge.
Dozens Age 7 to 14 Challenge Level Can you select the missing digit s to find the largest multiple? Multiples Sudoku Age 11 to 14 Challenge Level Each clue in this Sudoku is the product of the two numbers in adjacent cells. 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. Product Sudoku Age 11 to 16 Challenge Level The clues for this Sudoku are the product of the numbers in adjacent squares. How will the pattern continue?
Can you find its dimensions? Counting Factors Age 11 to 14 Challenge Level Is there an efficient way to work out how many factors a large number has? Where will the arrows take you next? Power Mad! Age 11 to 14 Challenge Level Powers of numbers behave in surprising ways.
Stars Age 11 to 14 Challenge Level Can you work out what step size to take to ensure you visit all the dots on the circle? Funny Factorisation Age 11 to 16 Challenge Level Using the digits 1 to 9, the number can be written as the product of two numbers. Differences Age 11 to 14 Challenge Level Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
Divisibility Tests Age 11 to 16 This article explains various divisibility rules and why they work.
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