27 Dulwich College 13+ papers, 2020-2023 — every question instantly marked with worked solutions
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Dulwich College — 16+ Maths Specimen Paper 2023
16+ · 2023 · 5-question taster below
- 1
Section A, Question 1. Solve the following equations for x. (a) 6 - 2(7 - 3x) = 8 - (3x + 7) [2 marks] (b) (35)x + (12)x = 22 [2 marks]
4 marks
- 2
Section A, Question 2. A right-angled triangle has one side of length 10 units and angles as shown. [Diagram: A is the bottom-left vertex, C is the bottom-right vertex with the right angle, and B is directly above C so that BC is vertical; AC = 10 units along the horizontal base. Two straight lines are drawn from A: the upper line AB and the lower line AD, where D lies on BC between B and C. The angle between the base AC and the lower line AD is 20 degrees (marked at A), and the shaded angle at B between BA and BC is 60 degrees.] Find BD to 3 significant figures.
3 marks
- 3
Section A, Question 3. Simplify. (a) (4xy2)2 / (2x)3 [2 marks] (b) 1/(x + 5) - (x - 1)/(x2 - 25) [2 marks]
4 marks
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