Year 11 sine rule test to download as PDF

This Year 11 sine rule test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 15-16, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Sine rule (Higher)
In triangle \(ABC\), \(A=50^\circ\), \(B=70^\circ\) and \(a=12\) cm.
1. Find \(b\) to 2 decimal places. (3 marks)
2. Find angle \(C\). (1 mark)
Question 2 – Cosine rule (Higher)
In triangle \(ABC\), \(b=9\) cm, \(c=11\) cm and \(A=62^\circ\).
1. Find \(a\) to 2 decimal places. (3 marks)
2. Find the area of the triangle. (1 mark)
Question 3 – Area (Higher)
A triangle has sides 7.5 cm and 9 cm with an included angle of \(42^\circ\).
1. Find its area to 1 decimal place. (2 marks)
2. Find the length of the third side. (2 marks)
Question 4 – Angle from three sides (Higher)
A triangle has sides 6 cm, 8 cm and 11 cm.
1. Find the largest angle to 1 decimal place. (3 marks)
2. Is the triangle acute, right-angled or obtuse? (1 mark)
Question 5 – Problem: two boats (Higher)
Two boats leave a harbour at the same time. Boat \(A\) sails 15 km and boat \(B\) sails 20 km. The angle between their paths is \(75^\circ\).
1. Find the distance between the boats to 1 decimal place. (3 marks)
2. Find the area of the triangle formed by the harbour and the two boats. (1 mark)

How to use this Year 11 sine rule test

First, revise with the sine rule, cosine rule and area of a triangle lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the sine rule, cosine rule and area of a triangle test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 11 sine rule test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.

Sine rule, cosine rule and area of a triangle – Year 11 GCSE maths test to download as PDF

Question 1 – Sine rule (Higher)

Question 2 – Cosine rule (Higher)

Question 3 – Area (Higher)

Question 4 – Angle from three sides (Higher)

Question 5 – Problem: two boats (Higher)

How to use this Year 11 sine rule test

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