Binomial
By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn
By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn
Can you work through these direct proofs, using our interactive proof sorters?
Can you find the distance between the two trees using the information given?
Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?
25 students are queuing in a straight line. How many are there between Julia and Jenny?
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!