Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2020 0580/22 Nov/Dec.

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IGCSE 2020 0580/22 Nov/Dec (questions)

IGCSE 2020 0580/22 Nov/Dec (mark scheme)

- Write two hundred thousand and seventeen in figures.
- Insert one pair of brackets to make this calculation correct.

7 - 5 - 3 + 4 = 9 - Solve the equation.

6 - 2x = 3x - The diagram shows a triangle drawn between a pair of parallel lines.

Find the value of x and the value of y. - Increase 42 by 16%.
- Factorise completely.

4 - 8x - The area of triangle ABC is 27 cm
^{2}and AB = 6cm.

Calculate the value of h. - Calculate the size of one interior angle of a regular polygon with 40 sides.
- Solve the simultaneous equations.

2x + y = 7

3x - y = 8

- Without using a calculator, work out 5/6 ÷ 1 1/3

You must show all your working and give your answer as a fraction in its simplest form. - Simplify.

2x^{2}× 5x^{5} - Alex and Chris share sweets in the ratio Alex : Chris = 7 : 3.

Alex receives 20 more sweets than Chris.

Work out the number of sweets Chris receives. - The length of one side of a rectangle is 12cm.

The length of the diagonal of the rectangle is 13cm.

Calculate the area of the rectangle. - Work out (3 × 10
^{199}) + (2 × 10^{201}).

Give your answer in standard form. - Calculate the area of this sector of a circle.
- The selling price of a shirt is $26.50.

This includes a tax of 6%.

Calculate the price of the shirt before the tax was added. - The diagram shows the speed–time graph for the first 40 seconds of a cycle ride.

(a) Find the acceleration between 20 and 40 seconds.

(b) Find the total distance travelled. - The sides of an isosceles triangle are measured correct to the nearest millimetre.

One side has a length of 8.2cm and another has a length of 9.4cm.

Find the largest possible value of the perimeter of this triangle. - (a) Calculate the value of x.

(b) Calculate the area of the triangle. - A model of a statue has a height of 4cm.

The volume of the model is 12 cm^{3}.

The volume of the statue is 40500 cm^{3}.

Calculate the height of the statue. - (a) Differentiate 6 + 4x - x
^{2}.

(b) Find the coordinates of the turning point of the graph of y = 6 + 4x - x^{2}. - The diagram shows a triangle OAB and a straight line OAC.
- Write as a single fraction in its simplest form.
- A line from the point (2, 3) is perpendicular to the line y = 1/3 x + 1.

The two lines meet at the point P.

Find the coordinates of P. - Solve the equation tan x = 2 for 0° ≤ x ≤ 360°
- Simplify.

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