Edexcel IGCSE Maths
Topic questions Pure mathematics Area of a triangle using sine
15 questions · 76 marks · about 1.5 hours
Also involves Arc length and sector area · Rounding
BAC is a sector of a circle, centre A
BCD is a sector of a circle, centre C
Angle BAC = 40° Angle BCD = 130° Area of shaded segment = 28 cm2
Find the length of the arc BD Give your answer correct to 3 significant figures.
Also involves Forming and solving equations
The diagram shows isosceles triangle EFG
EF = GF
Angle EFG = 130° The area of triangle EFG is 74 cm²
Work out the length of EF Give your answer correct to 3 significant figures.
Here is a triangular prism ABCDEF
AD = 53 cm DF = 28 cm Angle FDE = 30°
Work out the volume of the triangular prism. Give your answer correct to the nearest whole number.
The diagram shows two circles with centre O and a regular pentagon ABCDE
A, B, C, D and E are points on the larger circle. The pentagon has sides of length 8 cm.
The diagram is shaded such that
shaded area = unshaded area
Work out the radius of the smaller circle. Give your answer correct to 3 significant figures.
Also involves Quadratic equations
Here is a triangle ABC
The area of the triangle is (x2 + x – 3.75) cm2
Find the size of the largest angle in triangle ABC Give your answer correct to the nearest degree.
Also involves Quadratic equations
The diagram shows an isosceles triangle ABC
AB = 7 cm AC = BC = ycm
The area of the triangle is 42 cm2
Work out the value of y
Also involves Sine and cosine rules
AB = 4.6 cm BC = 8.3 cm angle ABC is acute
The area of triangle ABC is 12 cm²
Work out the perimeter of triangle ABC Give your answer correct to 3 significant figures.
Also involves Trigonometric ratios
Here is a parallelogram PQRS, in which angle SPQ is acute.
PQ = 6.1 cm PS = 3.8 cm
The area of the parallelogram is 18 cm2
Work out the length of QS Give your answer correct to 3 significant figures.
Also involves Properties of triangles and quadrilaterals
The diagram shows a kite ABCD
Calculate the area of the kite. Give your answer correct to 3 significant figures.
The diagram shows quadrilateral ABCD
The angle BCD is acute.
Given that the area of triangle BCD = 405 cm2
work out the size of angle ABD Give your answer correct to one decimal place.
The diagram shows triangle PQR
PQ = 1.6 cm PR = 4.2 cm Angle PRQ = 18°
Given that angle PQR is obtuse,
work out the area of triangle PQR Give your answer correct to 3 significant figures.
Also involves Forming and solving equations
A, B and C are points on a circle with centre O.
Angle ABC = 75
The area of the shaded segment is 200 cm2
Calculate the radius of the circle. Give your answer correct to 3 significant figures.
The diagram shows a regular octagon ABCDEFGH.
Each side of the octagon has length 10 cm.
Find the area of the shaded region ACDEH. Give your answer correct to the nearest cm2
Also involves Rounding
The diagram shows parallelogram EFGH.
EF = 9.3 cm FG = 14.7 cm Angle EFG = 106°
Work out the area of the parallelogram. Give your answer correct to 3 significant figures.
Work out the length of the diagonal EG of the parallelogram. Give your answer correct to 3 significant figures.
Also involves Rounding
The diagram shows the prism ABCDEF with cross section triangle ABC.
Angle BEC = 40° and angle ACB is obtuse. AC = 6 cm and CE = 13 cm
The area of triangle ABC is 22 cm2
Calculate the length of AB. Give your answer correct to one decimal place.
Memes
Laugh now. Cry in the exam hall later. Then come back and do a past paper.
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