Pyramid Task
Task 1
Task 2
Task 3
Task 4
Task 5
Task 6
Task 7
Task 8
NC Level 3 to 6
Pyramid Task 1
Rearrange the bottom 4 numbers in this
pyramid and see what different totals you
can get at the top.
18 + 13 = 31
31
18
10
3
Home
13
8
7
8 + 5 = 13
5
1
1+4=5
4
Pyramid Task 2
Put 4 consecutive numbers in the bottom
row of a pyramid like this and look for any
patterns.
18 + 13 = 31
31
18
10
3
Home
13
8
7
8 + 5 = 13
5
1
1+4=5
4
http://nrich.maths.org/2282
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.
18 + 13 = 31
31
18
10
3
Home
13
8
7
8 + 5 = 13
5
1
1+4=5
4
http://nrich.maths.org/1865
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
7
Home
2
3
15
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?
48
3 + 15
x
Home
2
3
15
http://nrich.maths.org/488
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
48
y + 15
x
Home
2
y
15
http://nrich.maths.org/488
Pyramid Task 7
By adding the expressions together form the
expression that goes in the top square and solve the
resulting equation.
59
4 + 2x
x+2
Home
x-1
4
2x
Pyramid Task 8
What fraction appears at the top of the pyramid?
1/3 + 1/5
1/2
Home
2/3
1/5
1/3