1. Area – Sine Rule – Higher – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE Edexcel Higher: June 2017 Paper 2, Q17B B O O A A T T
OPT is a sector of a circle with centre O and radius 13 cm.
A is the point on OT and B is the point on OP such that AOB is an
equilateral triangle of side 8cm.
Calculate the area of the shaded region as a percentage of the
area of the sector OPT.
Give your answer correct to 1 decimal place.
OPT is a sector of a circle with centre O and radius 13 cm.
A is the point on OT and B is the point on OP such that AOB is an
equilateral triangle of side 8cm.
Calculate the area of the shaded region as a percentage of the
area of the sector OPT.
Give your answer correct to 1 decimal place. % %
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

5. GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q15
(x + 3) meters
(x + 3) meters
45°
45° A B A B
(2x - 1) meters
(2x - 1) meters
The area of triangle ABC is m2.
Calculate the value of x.
Give your answer correct to 3 significant figures.
The area of triangle ABC is m2.
Calculate the value of x.
Give your answer correct to 3 significant figures.
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q17
ABD and BCD are triangles. 1
ABD and BCD are triangles.
The area of triangle ABD is 48 m2
Work out the length of CD.
Give your answer correct to 1 decimal place.
The area of triangle ABD is 48 m2
Work out the length of CD.
Give your answer correct to 1 decimal place. m m
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

9. GCSE Edexcel Higher: June 2017 Paper 2, Q17B O A T
OPT is a sector of a circle with centre O and radius 13 cm.
A is the point on OT and B is the point on OP such that AOB is an
equilateral triangle of side 8cm.
Calculate the area of the shaded region as a percentage of the
area of the sector OPT.
Give your answer correct to 1 decimal place. %
(Total for Question 1 is 5 marks)

10. GCSE Edexcel Higher: June 2017 Paper 3, Q15
(x + 3) meters
45° A B
(2x - 1) meters
The area of triangle ABC is m2.
Calculate the value of x.
Give your answer correct to 3 significant figures.
(Total for Question 1 is 5 marks)

11. GCSE Edexcel Higher: November 2017 Paper 3, Q17
ABD and BCD are triangles. A
106°
12 m B D
44°
The area of triangle ABD is 48 m2
Work out the length of CD.
Give your answer correct to 1 decimal place.
121° C m
(Total for Question 1 is 5 marks)

12. 8cm 60° 8cm 8cm 13cm GCSE Sector area = 60 360 x π x 132 = 88.488… cm2
Edexcel Higher: June 2017 Paper 2, Q17 P 1
8cm B
Equilateral = 60°
interior angle
60° O
8cm
8cm A
13cm T
OPT is a sector of a circle with centre O and radius 13 cm.
A is the point on OT and B is the point on OP such that AOB is an
equilateral triangle of side 8cm.
Calculate the area of the shaded region as a percentage of the
area of the sector OPT.
Give your answer correct to 1 decimal place.
Sector area = x π x 132 = … cm2
Triangle area = 1 2 ab SinC = x 8 x 8 x Sin 60
= … cm2
Shaded area = … … = …
Pecentage = … … × 100=68.68…
68.7 %
(Total for Question 1 is 5 marks)

13. a C b 𝑥 = 2.63 GCSE 𝐴𝑟𝑒𝑎 = 1 2 𝑎𝑏 𝑆𝑖𝑛 𝐶
Edexcel Higher: June 2017 Paper 3, Q15 C 1
𝐴𝑟𝑒𝑎 = 1 2 𝑎𝑏 𝑆𝑖𝑛 𝐶
(x + 3) meters a C
45° A B
(2x - 1) meters b
The area of triangle ABC is m2.
Calculate the value of x.
Give your answer correct to 3 significant figures.
𝐴𝑟𝑒𝑎 = 1 2 𝑎𝑏 𝑆𝑖𝑛 𝐶= 1 2 (x + 3)(2x - 1) sin 45
6 2 = 1 2 (x + 3)(2x - 1) sin 45
sin 45 = =
= (x + 3)(2x - 1) sin 45
𝑥= −𝑏± 𝑏2−4𝑎𝑐 2𝑎
= (2x2 + 6x - x - 3)
= (2x2 + 5x - 3) 2
𝑥= −5± 52−(4×2×−27 ) 2 × 2
24= 2x2 + 5x - 3
𝑥= − = …
2x2 + 5x – 27 = 0
𝑥= −5− = …
Quadratic Formula
A = 2
B = 5
C = -27
𝑥 = 2.63
(Total for Question 1 is 5 marks)

14. GCSE
Edexcel Higher: November 2017 Paper 3, Q17 1
ABD and BCD are triangles. A x
106°
12 m y B D
44° CD
The area of triangle ABD is 48 m2
Work out the length of CD.
Give your answer correct to 1 decimal place.
121° C
Area of ABD = 1 2 𝑎𝑏 𝑆𝑖𝑛 𝐶 = × 12 × x × sin 106 = 48
x = × 12 × sin 106 = m
a2 = b2 + c2 – 2bc Cos A
y2 = ANS2 – (2 × 12 × ANS × Cos 106)
y2 =
y = = m
𝑎 𝑆𝑖𝑛 𝐴 = 𝑏 𝑆𝑖𝑛 𝐵
𝐴𝑁𝑆 𝑆𝑖𝑛 121 = 𝐶𝐷 𝑆𝑖𝑛 44
𝑆𝑖𝑛 44 × 𝐴𝑁𝑆 𝑆𝑖𝑛 121 =𝐶𝐷=13.27
13.3 m
(Total for Question 1 is 5 marks)

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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