May/June 2026 Paper 21

2026 · 7 questions · 15 parts · 50 marks

0/50 marks
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Finish set
Q1
1
–/4 mks
Q2
2(a)2(b)
–/6 mks
Q3
3(a)3(b)
–/4 mks
Q4
4(a)4(b)
–/7 mks
Q5
5(a)5(b)5(c)5(d)
–/10 mks
Q6
6(a)6(b)6(c)
–/10 mks
Q7
7
–/9 mks
Context for question 3
the curve $y=\sqrt{x^{3}+9}$ for $0\le x\le3$, sketched increasing and concave up from a positive $y$-intercept, with axes labelled $x$, $y$ and origin $O$
The diagram shows the curve with equation for .
3(a)Numerical IntegrationMedium3 marks
Use the trapezium rule with three intervals to find an approximate value of . Give your answer correct to 3 significant figures.

Answer

3(b)Numerical IntegrationEasy1 mark
State, with a reason, whether your answer to part (a) is an over-estimate or under-estimate of the true value of .

Answer

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