Exam (elaborations)
A LEVEL (NEW) MATHEMATICS UNIT 3 PURE MATHEMATICS B 1300U30-1
- Module
- CHEM 162 Final
- Institution
- CHEM 162 Final
A LEVEL (NEW) MATHEMATICS UNIT 3 PURE MATHEMATICS B 1300U30-1
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GCE A LEVEL MARKING SCHEMESUMMER 2022
A LEVEL (NEW)
MATHEMATICS
UNIT 3 PURE MATHEMATICS B
1300U30-1
© WJEC CBAC Ltd.
,INTRODUCTION
This marking scheme was used by WJEC for the 2022 examination. It was finalised after
detailed discussion at examiners' conferences by all the examiners involved in the
assessment. The conference was held shortly after the paper was taken so that reference
could be made to the full range of candidates' responses, with photocopied scripts forming
the basis of discussion. The aim of the conference was to ensure that the marking scheme
was interpreted and applied in the same way by all examiners.
It is hoped that this information will be of assistance to centres but it is recognised at the
same time that, without the benefit of participation in the examiners' conference, teachers
may have different views on certain matters of detail or interpretation.
WJEC regrets that it cannot enter into any discussion or correspondence about this marking
scheme.
© WJEC CBAC Ltd.
, WJEC GCE A LEVEL MATHEMATICS
UNIT 3 PURE MATHEMATICS B
SUMMER 2022 MARK SCHEME
Q Solution Mark Notes
1 6(1 + tan2x) – 8 = tanx M1 use of sec2x = 1 + tan2x
Must be seen for M1
atan2x + btanx + c = 0
6tan2x – tanx – 2 = 0
(Atanx + B)(Ctanx + D) = 0 m1 AC = a and BD = c, c ≠ 0
oe
(3tanx – 2)(2tanx + 1) = 0
1 2
tanx = − , A1 cao
2 3
2
tanx = , x = 33.69, 213.69 B1 first 2 correct solutions
3
Condone 0.588c, 3.730c
1
tanx = − , x = 153.43, B1 3rd correct solution
2
Condone 2.678c
x = 333.43 B1 4th correct solution
Condone 5.820c
Notes: If one or two roots obtained for tan x, even if incorrectly obtained, full follow through
from these values for B1 B1 B1, provided one +ve and one -ve root. If only one sign
obtained, only B1 available for one pair of correct angles.
Do not follow through for sin, cos or anything else.
Ignore all roots outside range 0° x 360°.
For 5th, 6th, 7th extra root within range, -1 mark each extra root.
If all answers in radians, but radians not specified, penalise -1.
Accept all answers correctly rounded to the nearest whole number or better.
1
© WJEC CBAC Ltd.
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