O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2015 · Q183 Marks
A sequence of patterns is made using dots and lines. [Figure showing Pattern 1, Pattern 2, Pattern 3 made of dots and lines, and a table: Pattern number (p) | 1 | 2 | 3 | 4; Number of dots (d) | 6 | 11 | 16 | ]
- (a)Complete the table for Pattern 4.[1]
- (b)Find a formula for the number of dots, d, in Pattern p.[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 2015). The mark or mark type is shown in brackets.
- [1] (a) 21
- [2] (b) 5p + 1 oe
- [2] C1 for 5p + c; or for kp + 1 (k ≠ 0)
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