OCR Further Pure Core 2 Specimen — Question 1 4 marks

Exam BoardOCR
ModuleFurther Pure Core 2 (Further Pure Core 2)
SessionSpecimen
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSequences and series, recurrence and convergence
TypeStandard summation formulae application
DifficultyStandard +0.3 This is a straightforward Further Maths summation question requiring expansion of the product, application of standard summation formulas (∑r and ∑r²), and factorisation. While it's a Further Maths topic, it's a routine textbook exercise with a clear method and no novel insight required, making it slightly easier than average overall.
Spec4.06a Summation formulae: sum of r, r^2, r^3
Find \(\sum_{r=1}^{n}(r+1)(r+5)\). Give your answer in a fully factorised form. [4]
Question 1:
AnswerMarks
1n n n
(cid:166)r2 (cid:14)6(cid:166)r(cid:14)(cid:166)5
r(cid:32)1 r(cid:32)1 r(cid:32)1
n(n(cid:14)1)
=1n(n(cid:14)1)(2n(cid:14)1)(cid:14)6 (cid:14)5n
6 2
1n(n(cid:14)7)(2n(cid:14)7) oe
AnswerMarks
6M1
M1
A1
A1
AnswerMarks
[4]1.1a
1.2
1.1
AnswerMarks
1.1At least two of three elements
correct
Substitution of at least one correct
standard formula
Correct unsimplified answer
AnswerMarks
nFor full marks all algebra must
be correct
Question 1:
1 | n n n
(cid:166)r2 (cid:14)6(cid:166)r(cid:14)(cid:166)5
r(cid:32)1 r(cid:32)1 r(cid:32)1
n(n(cid:14)1)
=1n(n(cid:14)1)(2n(cid:14)1)(cid:14)6 (cid:14)5n
6 2
1n(n(cid:14)7)(2n(cid:14)7) oe
6 | M1
M1
A1
A1
[4] | 1.1a
1.2
1.1
1.1 | At least two of three elements
correct
Substitution of at least one correct
standard formula
Correct unsimplified answer
n | For full marks all algebra must
be correct
Find $\sum_{r=1}^{n}(r+1)(r+5)$. Give your answer in a fully factorised form. [4]

\hfill \mbox{\textit{OCR Further Pure Core 2  Q1 [4]}}
This paper (11 questions)
View full paper
Q1 4 Q2 4 Q3 4 Q4 5 Q5 4 Q6 8 Q7 7 Q8 8 Q9 6 Q10 8 Q11 17