Year 10 and Year 11- Higher- Histograms

You can find here a collection of histogram videos and some exam questions! Watch the video if you are unsure! 

Remember- 

Histogram think Frequency Density!

Questions
Answers 

Year 10 revision- Transformations

You need to be able to reflect, rotate, englarge and translate shapes. Here is a reminder for each transformation, questions to print off to have a go and anwers. 

Englargement 

Foundation
Enlargment questions 
Answers 

Higher 
Enlargment questions 
Answers  

Translation

Translation questions 
Answers

Rotations

Rotation questions 
Answers

Solving Trigonometric Equations

Let's take a look at a typical Core 2 question on solving trignomentric equations.

This is part (b), where part (a) asks you to show that the equation can be rewritten as

(1 - 5 cos 2x)( sin 2x) = 0.

A few exam tips when answering these:

1. Which trig identity should I use to simplify the equation? Is it a quadratic (using sine squared or cosine squared) or not?

2. Has the equation been factorised already? Can I see multiple solutions? Remember that if you square root, you need to use a positive and negative root.

3. Remember to find the range for 2x, or whichever function of x you find by removing the trig function.

4. Use a quick sketch of a trigonometric graph to help you remember how many solutions are in this range.

You can find worked solutions to this question, here for part a and here for part b.

There's plenty more exam questions where that came from - take a look at exam solutions, which can link you straight to this type of question for each past paper.

Cumulative Frequency and Box Plots

Today I have been revising Cumulative frequency diagrams and box plots with some year 11 classes. If you need some extra revision questions they can be found below (from corbettmaths). 

Cumulative Frequency

Box Plots