Geometry & Trigonometry Exam Style Questions

Geometry & Trigonometry Exam Questions

The following are exam style questions for the sub-topics in the functions unit. There are questions with video solutions here for here for Volume and Surface area, right angled trigonometry, Nin right angled trigonometry, applications of trigonometry, circles and Voronoi diagrams.

Volume & Surface Area - Exam Style Questions

The following are exam style questions on this topic that you should try on your own before checking against the video solution.

Question 1

Video Solution

Question 2

Video Solution

Question 3

Video Solution

Right angled trigonometry - Exam Style Questions

The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution. NOTE - Make sure that you have set your GDC to be in degrees. See the  Your Graphical Display Calculator page for help with this.

Question 1

Video solution

Question 2

Video solution

Question 3

Video solution

Non right angled trigonometry - Exam Style Questions

The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.

Question 1

Video solution

Question 2

Video solution

Question 3

Video solution

 


Applications of Trigonometry - Exam Style Questions

The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.

Question 1

Video Solution

Question 2

Video Solution

Question 3

Video Solution

Circles - Exam Style Questions

The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.

Question 1

Nigel is buying a wedge of cheese from a round of cheese of diameter 25cm and height 6cm. He cuts a wedge with an angle of 100 degrees . What is the volume of cheese that he buys? 

(4 marks)

Video solution

Question 2

Nigel now wants to make a cylindrical candle with a volume of \(300cm^3\), with a diameter of 4cm. How tall should the candle be? 

(4 marks)

Video solution

Question 3

A terrace is in the shape of a rectangle, ABCD, and a semicircle, AB. AB is the diameter of the semicircle. 

Nigel is going to cover the garden with grass, which costs $4.99 per m2. Work out the cost of covering the garden with grass. 

 

(6 marks)

Video solution

Voronoi Diagrams - Exam Style Questions

The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.

Question 1

Video Solution

 Question 2

Video Solution

Question 3 

Video Solution

Video solution

Question 4

Gil is designing his garden ABCD, and is planning on a set of coordinate axes. Each unit represents 1 metre of his garden. 

a. Find the area of his garden 

b.He is building a path (represented by EBGF). What is the gradient of the line through EB?

c. What is the equation of the line through EB? Give your answer in the form ax+by+d=0

d. He wants to make a new path from A that meets the original path at a right angle. Write down the gradient of the new path 

MY PROGRESS

How much of Geometry & Trigonometry Exam Style Questions have you understood?