Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2020 0580/23 Nov/Dec.

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IGCSE 2020 0580/23 Nov/Dec (questions)

IGCSE 2020 0580/23 Nov/Dec (mark scheme)

- Write down the cube number that is greater than 50 but less than 100.
- Calculate.
- In triangle ABC, BC = 7.6cm and AC = 6.2cm.

Using a ruler and compasses only, construct triangle ABC.

Leave in your construction arcs.

The side AB has been drawn for you. - Simplify.

a^{2}÷ a^{6} - Thor changes 40 000 Icelandic Krona into dollars when the exchange rate is 1 krona = $0.0099.

Work out how many dollars he receives. - The diagram shows triangle ABC.

The triangle is reflected in the line BC to give a quadrilateral ABDC.

(a) Write down the mathematical name of the quadrilateral ABDC.

(b) Find angle ACD. - Change 457000 cm
^{2}into m^{2}. - The length, l cm, of a line is 18.3cm, correct to the nearest millimetre.

Complete this statement about the value of l. - Without using a calculator, work out 1 1/7 × 2 1/10

You must show all your working and give your answer as a mixed number in its simplest form.

- Solve the simultaneous equations.

You must show all your working.

3x - 8y = 22

x + 4y = 4 - Simplify.

2x^{2}× 5x^{5} - A straight line, l, has equation y = 5x + 12.

(a) Write down the gradient of line l.

(b) Find the coordinates of the point where line l crosses the x-axis.

(c) A line perpendicular to line l has gradient k.

Find the value of k. - Use set notation to describe the shaded region.
- N = 2
^{4}× 3 × 7^{5}

PN = K, where P is an integer and K is a square number.

Find the smallest value of P. - Make x the subject of this formula.
- A paperweight has height 4cm and volume 38.4cm
^{3}.

A mathematically similar paperweight has height 7cm.

Calculate the volume of this paperweight. - Adil and Brian are paid the same wage.

Adil is given a 7% pay decrease and his new wage is $427.80 .

Brian is given a 7% pay increase.

Work out Brian’s new wage. - (a) Simplify.

(4xy^{2})^{3}

(b) 25 = 125^{k}

Find the value of k. - The diagram shows the speed–time graph for the final 40 seconds of a car journey.

At the start of the 40 seconds the speed is v m/s.

(a) Find the acceleration of the car during the first 24 seconds.

(b) The total distance travelled during the 40 seconds is 1.24 kilometres.

Find the value of v. - Factorise.

3x + 8y - 6ax - 16ay - OAB is the sector of a circle, centre O.

OB = 8cm and angle AOB = 30°.

BP is perpendicular to OA.

(a) Calculate AP.

(b) Work out the area of the shaded region APB. - The table shows information about the times, t seconds, taken by each of 100 students to solve a puzzle.
- y is inversely proportional to the square root of x.

When y = 7, x = 2.25.

Write y in terms of x. - Simplify.
- Solve 3 tan x = -4 for 0° ≤ x ≤ 360°

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