This video is a quick reminder of combined Pythagoras & SohCahToa questions for GCSE maths, and is aimed at around grade 5.
#GCSE #maths #math #SohCahToa #Pythagoras
Download a copy of the questions here: QT Pythagoras & SohCahToa – Combined
Download a copy of the written answers here: QT Pythagoras & SohCahToa – Combined ANSWERS
Here’s the questions (without drawings):
1. The diagram shows two right angled triangles. Work out the size of angle x, giving your answer correct to 3 significant figures. (3 marks)
2. The diagram shows two right angled triangles. Work out the value of x. Give your answer correct to 1 decimal place. (3 marks)
3. The diagram shows two right angled triangles. Work out the value of side x. Give your answer correct to 1 decimal place. (3 marks)
4. ABCD is a kite. Find the length AD. Give your answer to 3 significant figures. (3 marks)
5. The diagram shows a swimming pool water slide AD, with a supporting metal line DB and ladder DC. The angle of the slide is 32o, points ABC are in a straight line on the ground, DC is vertical.
(a) Work out the height of ladder DC in metres. Give your answer correct to 3 significant figures. (2 marks)
(b) Work out the length of the water slide AD. Give your answer correct to 3 significant figures. (2 marks)
(c) Work out the size of the angle of elevation of D from B. Give your answer correct to 3 significant figures. (2 marks)
6. The diagram shows two right angled triangles.
Length AB = length BC
Work out the value of side x.
Give your answer correct to 1 decimal place. (3 marks)
Here’s the timestamp:
0:00 Intro
0:30 Q1
4:46 Q2
7:55 Q3
11:20 Q4
15:20 Q5
21:18 Q6
I hope the video helps and please do leave a comment – thanks!
Questions on combined Pythagoras and SohCahToa are usually calculator, around 2 – 4 marks, and appear in all the main GCSE exam boards – Edexcel, AQA, OCR and Educas. The topic is quite useful and has many practical applications from architecture to design ….
Top Tips!
- With combined Pythagoras and SohCahToa questions, always work methodically and show your working
- Check your calculations
- Is it a reasonable answer?
Here’s other posts that also might be of interest:
How to use a probability tree; GCSE mathematics
Working with surds; GCSE maths grade 7+
Surds; ‘show that’ and ‘write in the form questions’
How to work out a formula for a common difference arithmetic sequence
nth term of a quadratic sequence; GCSE maths level 6 onwards
Summer GCSE Revision; Keep Building Your Skills
GCSE Maths Questions; Last Minute Revision
Edexcel GCSE Revision Maths June 2018 Paper 1
Edexcel Maths Higher Paper 2 November 2018
AQA GCSE Maths Higher 2018; Paper 1
Edexcel GCSE Maths Foundation Paper 2017; Paper 3
Edexcel GCSE maths foundation November 2018 paper 2
Speed Distance Time; mid level GCSE mathematics questions
How to factorise equations containing algebra terms
Simplify an algebra fraction using factorising
Expand brackets and simplify; mid-level GCSE maths algebra
Reverse percentage; prices in a sale
Please do leave a comment below if you are not sure. Alternately you can view my YouTube channel and leave a comment there – I’ll always try to respond as quickly as possible.
Watch on YouTube:
Combined Pythagoras & SohCahToa – GCSE Maths Questions
I’d really appreciate a like, if you found it useful! If you subscribe to the channel, you’ll also be notified of new uploaded videos.