IB Maths AA SL Topic 3: Geometry and trigonometry questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1, no calculator Paper 2, calculator

Difficulty

Easy Medium Hard

Question 1

Paper 2, calculatorEasy5 marks

During map-making, a survey team records three landmarks, $P$ $A$ and $B$ The distances $PA$ and $PB$ are $8.0\text{ km}$ and $11.0\text{ km}$ respectively, and $\angle APB=60.0^\circ$

Give your answers to three significant figures.

(a)

Using the cosine rule, determine the distance $AB$

[3]

(b)

Calculate the area of triangle $PAB$

[2]

Question 2

Paper 1, no calculatorEasy4 marks

A point moves around a circle of radius 1. Its position is described by an angle $x$ measured from the positive horizontal axis, where $0\leq x\leq 2\pi$

At one measurement, the point’s vertical coordinate is $\frac12$ At another measurement, its horizontal coordinate is $-\frac{\sqrt3}{2}$

(a)

Determine all possible values of $x$ for the first measurement.

[2]

(b)

Determine all possible values of $x$ for the second measurement.

[2]

The best questions are still waiting

Unlock every question in this topic, then type, photograph or draw your answer and have it marked against the markscheme. Find out where you are dropping marks.

Unlock all questions Compare Student and Student Plus