2013 A-level H2 Mathematics (9740) Paper 1 Question 1 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)
$x-2z=4$
$2x-2y+z=6$
$5x-4y+3z=-9$
Using GC, $x=-\frac{38}{3}, y=-\frac{119}{6}, z=-\frac{25}{3}$
$\therefore, (-\frac{38}{3}, -\frac{119}{6}, -\frac{25}{3})$

(ii)
$x-2z=4$
$2x-2y+z=6$
$5x-4y=-9$
Using GC, there is no solutions found. Thus, planes p, q, r have no common intersection at all. They form a triangular prism since none of the planes are parallel to each other.

KS Comments:

This question is rather straight-forward. Students should be able to interpret the results from the graphing calculator. Better students should be able to comment that it is a triangular prism.

A-level Graphing Calculator H2 Mathematics Paper 1 Pure Mathematics Suggested Solution System of Linear Equations Vector Year 2013

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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2013 A-level H2 Mathematics (9740) Paper 1 Question 1 Suggested Solutions

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