IGCSE Mathematics (0580) — May–June 2024, Paper 21
22 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →The diagram shows two sides of a parallelogram ABCD on a coordinate grid. A is at (-7, 5), B is at (-3, -1) and C is at (2, 3). Find the coordinates of point D.
Answer this question and get it marked →Geetha has a box of toys. She picks a toy at random from the box. The probability that she picks a wooden toy is 0.6. Work out the probability that she does not pick a wooden toy.
Answer this question and get it marked →The table shows some information about two sequences. nth term 5th term --- --- --- Sequence A 60 - 4n Sequence B n^2 - 300 Complete the table.
Answer this question and get it marked →Find the greatest odd number that is a factor of 140 and a factor of 210.
Answer this question and get it marked →Calculate. cube root of 343 minus square root of 40.96
Answer this question and get it marked →The diagram shows 5 kites that are congruent to kite ABCD (NOT TO SCALE). Each kite is joined to the next kite along one edge. Angle DAB = 40° and DCE is a straight line. Find the…
Answer this question and get it marked →The diagram shows a shape made from a triangle JKL and a semicircle with diameter JL (NOT TO SCALE). JKL is an isosceles right-angled triangle with JK = JL = 12.8 cm. Calculate…
Answer this question and get it marked →These are the first five terms of a sequence. 11 18 25 32 39 Find an expression for the nth term of the sequence.
Answer this question and get it marked →The value of a car is $8000. Each year the value of the car decreases exponentially by 25%. Calculate the value of this car after 3 years.
Answer this question and get it marked →Amir invests $1500 in an account. The account pays compound interest at a rate of r % per year. At the end of 8 years the value of his investment is $1656.73. Find the value of r.
Answer this question and get it marked →The diagram shows a grid with an unshaded region R bounded by lines. Find the inequalities that define the unshaded region, R.
Answer this question and get it marked →Solve the simultaneous equations. You must show all your working. (3x/2) + 5y = 5 4x - 3y = 46
Answer this question and get it marked →The diagram shows a cyclic quadrilateral (NOT TO SCALE). Its angles are p°, 4m°, 5m° and (4m + 38)°. Find the value of p.
Answer this question and get it marked →The diagram shows a circle with radius 9 cm (NOT TO SCALE). A minor sector has angle 48°. Calculate the area of the shaded major sector.
Answer this question and get it marked →Write 0.146146146... (0.(146) recurring) as a fraction in its simplest form. You must show all your working.
Answer this question and get it marked →In the Venn diagram (two sets M and N), shade the region M' intersect N'.
Answer this question and get it marked →The diagram shows triangle ABC (NOT TO SCALE) with AB = 6.7 cm, BC = 5.9 cm and angle ABC = 81°. Calculate the area of triangle ABC.
Answer this question and get it marked →The diagram shows the graph of y = x^3 + 4x^2 - 2 for -3 <= x <= 1.5. By drawing a suitable straight line, solve the equation x^3 + 4x^2 - 2 = 2x for -3 <= x <= 1.5.
Answer this question and get it marked →Solve the equation 8 sin x + 6 = 1 for 0° <= x <= 360°.
Answer this question and get it marked →The diagram shows a cuboid (NOT TO SCALE). HD = 4 cm, EH = 6.5 cm and EF = 9.1 cm. Calculate the angle between CE and the base CDHG.
Answer this question and get it marked →Bag A and bag B each contain red counters and blue counters only. Stephan picks a counter at random from bag A and Jen picks a counter at random from bag B. The probability that…
Answer this question and get it marked →