Centre Number 71 Candidate Number
General Certificate of Secondary Education 2011
Mathematics Unit T4
GMT41
(With calculator) Higher Tier
[GMT41]
TUESDAY 31 MAY
For Examiner’s use only Question Number Marks
9.15 am–11.15 am
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Total Marks
TIME
2 hours.
INSTRUCTIONS TO CANDIDATES
Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Write your answers in the spaces provided in this question paper. Answer all nineteen questions. Any working should be clearly shown in the spaces provided since marks may be awarded for partially correct solutions. You may use a calculator for this paper.
INFORMATION FOR CANDIDATES
111187
The total mark for this paper is 100. Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. Functional Elements will be assessed in this paper. Quality of written communication will be assessed in question 11. You should have a calculator, ruler, compasses and a protractor. The Formula Sheet is overleaf.
6528.06RR
Formula Sh
Formula Sheet
Volume of prism area of cross section length
– Area of trapezium = 1 (a + b)ha + b)h 2 Area of trapezium 1 ( 2
a h
cross section
Formula Sheet b length – Area of trapezium = 1 (a + b)h 2 a
Formula Sheet h b
– Area of trapezium = 1 (a + b)h 2
Volume of prism = area of cross section × length Volume of cone 1 πr 2 h 3 In anyCurved surface area of cone πrl triangle ABC
– Area of triangle = 1 ab sin C 2
In any triangle ABC h b
a
Volume of prism = area of cross section × length a = b = c Sine rule : sin A sin B sinCross C section b of c Volume of a Sine Rule: prism = area cross section × length sin A In any triangle ABC sin B sin C Cosine rule: a2 = b2 + c2 – 2bc cos A
Cross section c A c B b a l r r
len
Cosine Rule: a2 Area of triangle = 1