O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2022 · Q96 Marks
Shani makes a sequence of patterns using counters. [Figure showing Pattern 1 (5 counters), Pattern 2 (8 counters), Pattern 3 (11 counters)]
- (a)Complete the table. Pattern number 1 2 3 4 5 Number of counters 5 8 11[1]
- (b)Find an expression, in terms of n, for the number of counters in Pattern n.[2]
- (c)Shani has 100 counters. She uses some of the counters to make Pattern 20. She uses all the remaining counters to make Pattern k. Find the value of k.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [1] (a) 14 17
- [2] (b) 3n + 2 oe final answer B1 for 3n + k oe seen or for jn + 2 oe seen j ≠ 0
- [3] (c) 12 M1 for substitution of 20 into their (3n + 2) or for 62 seen or for 38 seen M1 for their (3k + 2) = 100 – their 62
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