MATHEMATICS (EXTENDED) 0580 IGCSE MAY/JUNE 2020

[Pages:30]MATHEMATICS (EXTENDED) 0580 IGCSE MAY/JUNE 2020

REVISION 9

MENSURATION

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

NOTES:

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

1. A, B, C and D lie on a circle, centre O. AB = 7 cm, BC = 10 cm and angle ABD = 77?. AOC is a diameter of the circle.

(a) Find angle ABC.

Answer: ................................................ [1]

(b) Calculate angle ACB and show that it rounds to 35? correct to the nearest degree.

(c) Explain why angle ADB = angle ACB.

Answer: ................................................ [2]

................................................................................................ [1]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

(d) (i) Calculate the length of AD.

Answer: ................................................ [3] (ii) Calculate the area of triangle ABD.

Answer: ................................................ [2] (iii) The area of triangle AED = 12.3 cm2, correct to 3 significant figures.

Use similar triangles to calculate the area of triangle BEC.

Answer: ................................................ [3]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

2. OBCD is a rhombus with sides of 25 cm. The length of the diagonal OC is 14 cm.

Calculate, correct to the nearest degree, (a) angle BCD

(b) angle OBC

Answer: ................................................ [2] Answer: ................................................ [1]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

3.

R and T are points on a circle, centre O, with radius 5 cm. PR and PT are tangents to the circle and angle POT = 78?. A thin rope goes from P to R, around the major arc RT and then from T to P. Calculate the length of the rope.

Answer: ................................................ [6]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

4.

The perimeter of the rectangle is the same length as the circumference of the circle. Calculate the radius, r, of the circle.

Answer: ................................................ [3]

5. A company sells a scale model " of the size of its cars.

"#

Complete the following table.

[3]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

6.

Calculate the area of triangle ABC.

Answer: ................................................ [2] 7.

The diagram shows a solid prism of length 15 cm. The cross-section of the prism is a semi-circle of radius 4 cm. Calculate the total surface area of the prism.

Answer: ................................................ [4]

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SEKOLAH BUKIT SION - IGCSE MATH REVISION

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