O-LevelMathematicsAlgebra and graphs4024/12 · Oct/Nov 2024 · Q96 Marks
A sequence of patterns is made using crosses and circles. [Figure with Pattern 1, Pattern 2, Pattern 3 showing crosses and circles arrangement]
- (a)Draw Pattern 4.[1]
- (b)Complete the table for Pattern 4 and Pattern 5. [Table with Pattern number (n): 1, 2, 3, 4, 5; Number of crosses: 4, 6, 8; Number of circles: 2, 6, 12][2]
- (c)The expression for the number of crosses in Pattern n is 2n+2. Find the number of crosses in Pattern 35.[1]
- (d)Find an expression, in terms of n, for the number of circles in Pattern n.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [1] Correct Pattern 4 drawn (4x6 crosses in a rectangle, 5x6 circles in a rectangle)
- [2] 10, 12, 20, 30
- [2] B1 for 2 or 3 correct
- [1] 72
- [2] n(n + 1) oe final answer
- [2] B1 for a quadratic expression in n as answer
- [2] or for correct answer seen
- [2] or for at least two second differences of 2 seen for numbers of circles sequence
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →