# IBDP Maths analysis and approaches : IB Style Question Bank with Solution -SL 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: Geometry and trigonometry-SL content

• Topic : SL 3.1
• The distance between two points in three dimensional space, and their midpoint.
• Volume and surface area of three-dimensional solids including right-pyramid, right cone, sphere, hemisphere and combinations of these solids.
• The size of an angle between two intersecting lines or between a line and a plane.
• Topic SL 3.2
• Topic SL 3.3
• Topic SL 3.4
• Topic SL 3.5
• Definition of $$\cos \theta$$ , $$\sin \theta$$ in terms of the unit circle and $$\tan \theta$$  as $$\frac{sin\theta }{cos\theta }$$.
• Exact values of $$\sin$$, $$\cos$$ and $$\tan$$ of $$0$$, $$\frac{\pi }{6}$$, $$\frac{\pi }{4}$$, $$\frac{\pi }{3}$$, $$\frac{\pi }{2}$$ and their multiples.
• Extension of the sine rule to the ambiguous case
• Topic SL 3.6
• Pythagorean identities: $${\cos ^2}\theta + {\sin ^2}\theta = 1$$ ;
• Double angle identities for sine and cosine
• The relationship between trigonometric ratios.
• Topic : SL 3.7
• Topic : SL 3.8

### Topic 4 : Statistics and probability-SL content

• Topic: SL  4.1
• Topic: SL  4.2
• Topic: SL  4.3
• Topic: SL  4.4
• Topic: SL  4.5
• Topic: SL  4.6
• Topic: SL  4.7
• Topic: SL  4.8
• Topic: SL  4.9
• Topic: SL  4.10
• Equation of the regression line of x on y.
• Use of the equation for prediction purposes.
• Topic: SL  4.11
• Formal definition and use of the formulae:
• $$P\left( {\left. A \right|P} \right) = \frac{{P\left( {A\mathop \cap \nolimits B} \right)}}{{P\left( B \right)}}$$.
• $$P\left( {\left. A \right|B} \right) = P\left( A \right) = P\left( {\left. A \right|B’} \right)$$ .
• Topic: SL  4.12
• Standardization of normal variables (z- values).
• Inverse normal calculations where mean and standard deviation are unknown.