Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE 2020 0580/12 Feb/Mar Paper 1.

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IGCSE 2020 0580/12 Feb/Mar (pdf)

- (a) Write 3.25pm in the 24-hour clock.

(b) Work out the time 7 hours and 36 minutes before 1326. - (a) Measure the length of the line AB in millimetres.

(b) AB is the diameter of a circle.

Draw this circle. - (a) The temperature on Monday was -7°C.

The temperature on Tuesday was 5°C lower than on Monday.

The temperature on Wednesday was 8°C higher than on Tuesday.

Find the temperature on Wednesday.(b) Kyra has a faulty thermometer.

It always shows the temperature as 2°C higher than the actual temperature.

The temperature on the thermometer is T°C.

Write an expression, in terms of T, for the actual temperature. - Work out the value of x.

Give a geometrical reason for your answer. - The diagram shows a fair 8-sided spinner.

The numbers on the spinner are 3, 4, 4, 7, 7, 7, 8 and 9.

(a) The spinner is spun once.

Write down the probability that the spinner lands on

(i) the number 7,

(ii) a number greater than 2.

(b) The spinner is spun 160 times.

Work out the expected number of times the spinner lands on the number 7. - The month of July has 31 days.

Calculate the number of seconds in the month of July.

- A cuboid has length 3cm, width 2cm and height 1cm.

On the 1 cm^{2}grid, draw a net of the cuboid. - (a) Write down the reciprocal of 40.

(b) Calculate .

Give your answer correct to 4 decimal places.

(c) Write the number 40 in standard form. - (a) Write down the gradient of the line y = 2x - 3.

(b) Complete the table of values for y = 2x - 3.

(c) On the grid, draw the graph of y = 2x - 3 for -2 ≤ x ≤ 3 - Point A has coordinates (6, 4) and point B has coordinates (2, 7).

Write AB as a column vector. - The number of people swimming in a pool is recorded each day for 12 days.

24 28 13 38 15 26

45 21 48 36 18 38

(a) Complete the stem-and-leaf diagram.

(b) Find the median number of swimmers. - A bag contains red marbles, green marbles and blue marbles only.

The ratio of the number of marbles of each colour is

red : green : blue = 12 : 5 : 2.

There are 112 more red marbles than green marbles.

Work out the number of blue marbles. - Without using a calculator, work out 15/28 ÷ 4/7

You must show all your working and give your answer as a fraction in its simplest form. - The diagram shows a right-angled triangle.

(a) Calculate the area.

(b) Calculate the perimeter. - Riya invests $30000 at a rate of 2.5% per year compound interest.

Calculate the value of her investment at the end of 7 years.

Give your answer correct to the nearest dollar. - (a) Simplify.

5 × x^{0}

(b) 9^{12}÷ 9^{w}= 9^{4}

Find the value of w. - The diagram shows a right-angled triangle ABC.

Calculate AB. - (a) Factorise completely.

3x^{2}- 12xy (b) Expand and simplify.

(m - 3)(m + 2) - A car travels at a constant speed of 45 kilometres per hour for 5 minutes.

Each wheel of the car has radius 25 centimetres.

Calculate the number of complete revolutions that a wheel makes during the 5 minutes.

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