Foundation November 2023 Paper 1 Q9

AQACurrent spec3 marksProperties of Numbers

9 Put the whole numbers 1 to 12 into the boxes to make the calculations correct.

Only use each number once. [3 marks]

\(+\)	\(+\)	\(=\)	7
\(+\)	\(+\)	\(=\)	32
\(+\)	\(+\)	\(=\)	15
\(+\)	\(+\)	\(=\)	24

Mark scheme

Answer	Mark	Comments
Fully correct: 4 correct sums only uses integers 1-12 no repeated numbers \(1 + 2 + 4 = 7\) \(9 + 11 + 12 = 32\) \(3 + 5 + 7 = 15\) \(6 + 8 + 10 = 24\)	B3	each set of 3 in any order B2 4 mathematically correct sums with one of: only uses integers 1-12 no repeated numbers or 2 or 3 mathematically correct sums and both of: only uses integers 1-12 no repeated numbers B1 2 or 3 mathematically correct sums with one of: only uses integers 1-12 no repeated numbers or only 4 mathematically correct sums

Answer

Mark

Comments

Fully correct:

4 correct sums
only uses integers 1-12
no repeated numbers

\(1 + 2 + 4 = 7\)
\(9 + 11 + 12 = 32\)
\(3 + 5 + 7 = 15\)
\(6 + 8 + 10 = 24\)

each set of 3 in any order

B2
4 mathematically correct sums with one of:

only uses integers 1-12
no repeated numbers

or
2 or 3 mathematically correct sums and both of:

only uses integers 1-12
no repeated numbers

B1
2 or 3 mathematically correct sums with one of:

only uses integers 1-12
no repeated numbers

or
only 4 mathematically correct sums

Additional guidance

Allow negative or decimal numbers for up to B2

For a row to be mathematically correct, there must be three numbers
Blank boxes should not be treated as zeros

Any box that is not crossed out must be considered when checking the conditions regarding integers 1-12 and repeated numbers
If a number is crossed out, but still legible, judge in favour of the student to give the best mark

A completed row takes precedence over working space
If a row is blank, check working space for that calculation and award a mark based on the work that benefits the student most
Working outside of boxes must be evaluated