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Numeracy Foundation June 2017 Unit 1 Q11

WJECFoundationCurrent spec3 marksSequences

11. Ollie has a job in a workshop that makes decorations.

He makes decorations using small squares of stained glass.

Ollie has made the following decorations.

Decorations D1 to D4 made of squares in triangular stacks: D1 has 1 square, D2 has rows of 1 and 2, D3 rows of 1, 2 and 3, D4 rows of 1, 2, 3 and 4

He labels the first decoration D1.
He labels the next 3 decorations in order, D2, D3 and D4.

He continues to make decorations and labels following this pattern.

(a) After making decoration D5, Ollie notices he only has 10 small squares of stained glass left.
How many more squares of stained glass will Ollie need to make decoration D6? [2]
(b) Ollie uses a rule to work out how many squares he needs for each decoration.
He states that to make decoration D10 he would need 55 squares.
Is Ollie correct?
You must show your working. [1]