Cambridge CIE IGCSE Past Papers and solutions.

Questions and Worked Solutions for IGCSE Maths 2020 0580/23 May/June Paper 2.

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IGCSE 2020 0580/23 May/June (pdf)

- 32 33 34 35 36 37 38 39

From this list of numbers, write down

(a) a multiple of 8,

(b) a square number,

(c) a prime number - The diagram shows a cuboid

Calculate the volume of the cuboid - Triangle ABC is isosceles

Angle ABC = 32° and AB = AC

Find angle BAC - A train journey takes 5 hours 54 minutes

(a) The journey starts at 0915

Find the time that the journey ends

(b) The average speed of the train for this journey is 80 km/h

Calculate the distance travelled - Sofia has a bag containing 8 blue beads and 7 red beads only

She takes one bead out of the bag at random and replaces it

She does this 90 times

Find the number of times she expects to take a red bead - Simplify

(a) p^{2}× p^{4}

(b) m^{15}÷ m^{5}

(c) (k^{3})^{5} - Without using a calculator, work out 3 1/4 - 2 2/3

You must show all your working and give your answer as a fraction in its simplest form - The bearing of X from Y is 274°

Calculate the bearing of Y from X - Calculate the area of the sector of a circle with radius 65mm and sector angle 42°

Give your answer in square centimetres

- A solid cylinder has radius 3cm and height 4.5cm

Calculate the total surface area of the cylinder - y is directly proportional to the cube root of (x + 3)

When x = 5, y = 2/3

Find y when x = 24 - The total perimeter of a semicircle is 19.02cm

Calculate the radius of the semicircle - Write down the three inequalities that define the region R
- The diagram shows the speed–time graph of a train journey between two stations

(a) Find the acceleration of the train during the first 40 seconds

(b) Calculate the distance between the two stations - The table shows the amount of money, $x, given to a charity by each of 60 people

Calculate an estimate of the mean - Paddy and Anna each invest $2000 for 5 years

Paddy earns simple interest at a rate of 1.25% per year

Anna earns compound interest at a rate of r % per year

At the end of 5 years, Paddy’s investment is worth the same as Anna’s investment

Calculate the value of r - The diagram shows two shapes that are mathematically similar

The smaller shape has area 52.5cm^{2}and the larger shape has area 134.4cm^{2}

Calculate the value of m - (a) Write x
^{2}- 18x - 27 in the form (x + l)^{2}+ h

(b) Use your answer to part (a) to solve the equation x^{2}- 18x - 27 = 0 - (a) In a class of 40 students:

- 28 wear glasses (G )
- 13 have driving lessons (D)
- 4 do not wear glasses and do not have driving lessons

(i) Complete the Venn diagram

(ii) Use set notation to describe the region that contains a total of 32 students

(b) This Venn diagram shows information about the number of students who play basketball (B), football (F) and hockey (H)

Find n((B ∪ F) ∩ H')

Shade the region P ∪ (Q ∩ R)'

- The diagram shows a pyramid with a square base ABCD

The diagonals AC and BD intersect at M

The vertex V is vertically above M

AB = 11 cm and AV = 18.6cm

Calculate the angle that AV makes with the base

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