Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2020 0580/01 Specimen Paper 1.

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IGCSE 2020 0580/01 Specimen Paper (pdf)

- Write seventeen thousand and seventeen in figures.
- Find the number of minutes from 1758 to 7.13 pm.
- The number of cars parked in a car park at 9am is recorded for 10 days.

124 130 129 116 132 120 127 107 118 114

Complete the stem-and-leaf diagram. - (a) Write 6789 correct to the nearest 100.

(b) Write 6789 correct to 3 significant figures. - A cuboid measures 6cm by 3cm by 2 cm.

On this 1cm^{2}grid, draw a net of the cuboid. - (a) Write down the order of rotational symmetry of the shape.

(b) Draw all the lines of symmetry on the shape. - (a) Write down a fraction which is equivalent to 3/5

(b) Write down the reciprocal of 7. - A cube has a volume of 1000cm
^{3}.

Calculate the surface area of the cube.

- Dan either walks or cycles to school.

The probability that he cycles to school is 1/5

(a) Write down the probability that Dan walks to school.

(b) There are 200 days in a school year.

Work out the expected number of days that Dan cycles to school in a school year. - Using a ruler and pair of compasses only, construct a triangle with sides 5cm, 8cm and 10 cm.

Leave in your construction arcs. - Here is a list of numbers.

Put a ring around the number with the largest value. - Complete these statements.

(a) 6m is the same length as …………..mm.

(b) 7000 cm^{2}is the same area as …………..m^{2} - ABCDE is a pentagon.

Explain why the diagram shows that the sum of the interior angles of a pentagon is 540°.

Do not measure any angles. - Simplify x
^{3}y^{4}× x^{5}y^{3} - Write 2020 in standard form.
- Kim knows that one angle of an isosceles triangle is 48°.

He says that one of the other angles must be 66°.

Explain why Kim is wrong. - Explain why √3 is irrational.
- The mass, m kilograms, of a horse is 429kg, correct to the nearest kilogram.

Complete this statement about the value of m. - Rearrange the formula 5w – 3y + 7 = 0 to make w the subject.
- Use set notation to describe the shaded regions in each Venn diagram.
- The radius of a sphere is 5.2cm.

Work out the surface area of this sphere.

(The surface area, A, of a sphere with radius r is A = 4πr^{2}.) - Triangle ABC is similar to triangle PQR.
- E = {children who go to the park}

T = {children who play tennis}

G = {children who play golf}

120 children go to the park.

50 play tennis.

75 play golf.

25 do not play tennis or golf.

(a) Complete the Venn diagram.

(b) Find n(T ∩ G). - (a) Factorise completely 18x – 24.

(b) Simplify (w^{5})^{4} - Without using your calculator, work out 1 7/12 + 13/20

You must show all your working and give your answer as a mixed number in its simplest form. - By rounding each number correct to 1 significant figure, estimate the value of

You must show all your working. - (a) The nth term of a sequence is n
^{3}- 5

Write down the first three terms of this sequence.

(b) Here is a sequence of numbers.

3, 6, 11, 18, 27, …

Find an expression for the nth term of this sequence. - OAB is a sector of a circle with radius 9cm and centre O.

The angle at O is 30°.

Calculate the area of this sector.

Give your answer in terms of π.

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