Pyramid Task

Task 1 Task 2 Task 3 Task 4

Task 5 Task 6 Task 7 Task 8

NC Level 3 to 6

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Pyramid Task 1

Rearrange the bottom 4 numbers in this pyramid and see what different totals you can get at the top.

1 + 4 = 5

8 + 5 = 13

18 + 13 = 31

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Pyramid Task 2

Put 4 consecutive numbers in the bottom row of a pyramid like this and look for any patterns.

1 + 4 = 5

8 + 5 = 13

18 + 13 = 31

http://nrich.maths.org/2282

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Pyramid Task 3

Use the 6 numbers 1, 3, 4, 8, 9, 12 in the base of a Number Pyramid to get a top number of 200.

1 + 4 = 5

8 + 5 = 13

18 + 13 = 31

http://nrich.maths.org/1865

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Pyramid Task 4

It is possible to complete this pyramid if the four numbers are placed at the bottom.

Where else can you place 4 numbers and still complete the pyramid?

3 + 15 = 18

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Pyramid Task 5

Find the value of x that gives the number 48 at the top.What happens to x if the number at the top increases by 2?Why?

http://nrich.maths.org/488

3 + 15

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Pyramid Task 6

Find 8 different pairs of solutions for x and y.How many solutions are there?Can you find a relationship between x and y

http://nrich.maths.org/488

y + 15

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Pyramid Task 7

By adding the expressions together form the expression that goes in the top square and solve the resulting equation.

4 + 2x

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Pyramid Task 8

What fraction appears at the top of the pyramid?

1/3 + 1/5