Arithmetic sequences

problem
Investigating Pascal's triangle

Age

7 to 11

Challenge level

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.
problem
Series sums

Age

14 to 16

Challenge level

Let S1 = 1 , S2 = 2 + 3, S3 = 4 + 5 + 6 ,........ Calculate S17.
problem
Next domino

Age

5 to 7

Challenge level

Which comes next in each pattern of dominoes?
problem
Buzzy bee

Age

5 to 7

Challenge level

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
problem
Skip counting

Age

5 to 7

Challenge level

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.
problem
Domino sequences

Age

5 to 7

Challenge level

Find the next two dominoes in these sequences.
problem
100 square jigsaw

Age

5 to 7

Challenge level

Can you complete this jigsaw of the 100 square?
problem
Missing middles

Age

5 to 7

Challenge level

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
problem
Six in a circle

Age

5 to 7

Challenge level

If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?
problem
Alphabet blocks

Age

5 to 11

Challenge level

These alphabet bricks are painted in a special way. A is on one brick, B on two bricks, and so on. How many bricks will be painted by the time they have got to other letters of the alphabet?