# IB DP Maths SL: Past Years Question Bank with Solution Paper – 2

### Paper 2

SL

• Time: 90 minutes (90 marks)
• Section B: answer all questions in the answer booklet provided. Fill in your session number on the front of the answer booklet, and attach it to this examination paper and your cover sheet using the tag provided
• Unless otherwise stated in the question, all numerical answers should be given exactly or correct to three significant figures.
• A graphic display calculator is required for this paper
• A clean copy of the mathematics SL formula booklet is required for this paper

Topic 3 – Core: Circular functions and trigonometry

•  Topic 3.1
• Topic 3.2
• Definition of $$\cos \theta$$ and $$\sin \theta$$ in terms of the unit circle.
• Definition of $$\tan \theta$$ as $$\frac{{\sin \theta }}{{\cos \theta }}$$ .
• Exact values of trigonometric ratios of $$0$$, $$\frac{\pi }{6}$$, $$\frac{\pi }{4}$$, $$\frac{\pi }{3}$$, $$\frac{\pi }{2}$$ and their multiples.
• Topic 3.3
• Topic 3.4
• Topic  3.5
• Topic 3.6

Topic 6 – Core: Calculus

•  Topic 6.1
• Topic 6.2
• Topic 6.3
• Topic 6.4
• Indefinite integration as anti-differentiation.
• Indefinite integral of $${x^n}\left( {n \in \mathbb{Q}} \right)$$ , $$\sin x$$ , $$\cos x$$ , $$\frac{1}{x}$$ and $${{\text{e}}^x}$$ .
• The composites of any of these with the linear function $$ax + b$$ .
• Integration by inspection, or substitution of the form $$\mathop \int \nolimits f\left( {g\left( x \right)} \right)g’\left( x \right){\text{d}}x$$ .
• Topic 6.5
• Topic 6.6