Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2021 0580/23 Nov/Dec.

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IGCSE 2021 0580/23 Nov/Dec (questions)

IGCSE 2021 0580/23 Nov/Dec (mark scheme)

- Write 26g as a percentage of 208g.
- The diagram shows two parallel lines intersecting a straight line.

Find the value of x. - 11 13 15 17 19

From this list, write down the number that is both a prime number and a factor of 195. - Put a ring around each of the symbols that make this statement correct.
- Nina changes 153 euros into dollars when the exchange rate is $1 = 0.9 euros.

Calculate the amount Nina receives. - Marek buys a computer for $420.

He sells it at a loss of 15%.

Calculate the selling price of this computer. - Simplify.
- Beatrice walks 1km at a speed of 4km/h and then 2km at a speed of 4.5km/h.

Work out Beatrice’s average speed for the whole journey. - Write the recurring decimal 0.27 as a fraction.

- These are the first four terms of a sequence.

3 -1 -5 -9

(a) Find the next term in this sequence.

(b) Find the nth term. - (a) Find the value of P when M = 100, g = 3 and h = 4.5 .

(b) Rearrange the formula to write g in terms of P, M and h. - Without using a calculator, work out
- Calculate 0.04
^{2}+ 0.03 x 0.28.

Give your answer in standard form. - (a) Complete the statement.

(b) Find n(Q).

(c) Find n(P' ∩ Q). - The cost of a train journey is increased by 6% to a new cost of $153.70 .

Calculate the original cost of the train journey - Jo and Mo share $26.

Jo receives $5 more than Mo.

Find the ratio Jo’s money : Mo’s money.

Give your answer in its simplest form. - Each interior angle of a regular polygon is 178.5°.

Calculate the number of sides of this polygon - Find the equation of the straight line that passes through the points (2, -2) and (3, 10).

Give your answer in the form y = mx + c. - The diagram shows a sector of a circle, centre O, radius 12.6 cm.

Calculate the perimeter of the shaded segment. - A lake has an area of 3km
^{2}.

On a map the area of the lake is 18.75cm^{2}.

Find the scale of the map in the form 1 : n. - Simplify fully.
- Solve the simultaneous equations.

You must show all your working. - The diagram shows a triangular prism.

Angle BPC = 90°.

(a) Calculate AC.

(b) Calculate the angle between AC and the base ABPQ. - tan x = √3
- Simplify
- ORT is a triangle.

X is a point on TR so that TX : XR = 3 : 2

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