IGCSE Mathematics (0580) — October–November 2023, Paper 22
26 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →Write 24.07839 correct to 2 decimal places.
Answer this question and get it marked →Write down the number that is 9 greater than −23.
Answer this question and get it marked →v = u + at. Find the value of v when u = 30, a = −2 and t = 7.
Answer this question and get it marked →Change 62 000 millimetres into kilometres.
Answer this question and get it marked →The diagram shows two intersecting straight lines crossing two parallel lines. Angles of 50° and x° are marked at one intersection and 114° at another. NOT TO SCALE. Find the…
Answer this question and get it marked →Explain why 111 is not a prime number.
Answer this question and get it marked →P and Q are two points. North lines are shown at both P and Q. The bearing of P from Q is given by an angle of 39° between the east direction at Q and the line QP. NOT TO SCALE.…
Answer this question and get it marked →Without using a calculator, work out 3 1/8 − 1 3/4. You must show all your working and give your answer as a mixed number in its simplest form.
Answer this question and get it marked →Write 90 as a product of its prime factors.
Answer this question and get it marked →Expand and simplify. 2(t + w) + 3(w − t)
Answer this question and get it marked →The two shapes are mathematically similar. The smaller shape has a side of 6.3 cm corresponding to 9 cm on the larger shape, and a side of 5 cm corresponding to h cm on the larger…
Answer this question and get it marked →The diagram shows a speed–time graph for 16 seconds of a car journey. The car travels at 10 m/s, constant until 12 seconds, then decelerates uniformly to 0 m/s at 16 seconds. NOT…
Answer this question and get it marked →3^(3p) × 3^(2p) = 729. Find the value of p.
Answer this question and get it marked →y = 2w² − x. Rearrange the formula to make w the subject.
Answer this question and get it marked →On the Venn diagram (sets P and Q in universal set ξ), shade the region P ∪ Q'.
Answer this question and get it marked →Find the lowest common multiple (LCM) of 12x⁸ and 8x¹².
Answer this question and get it marked →A, B and C are points on a circle, centre O. Angle OBA = 28°. NOT TO SCALE. Find angle ACB.
Answer this question and get it marked →A solid cylinder has radius 5 cm and height 8 cm. Calculate the total surface area of the cylinder.
Answer this question and get it marked →Find the nth term of the sequence: 11, 8, 5, 2, −1, …
Answer this question and get it marked →The area of a rectangle is 55.2 cm², correct to 1 decimal place. The length of the rectangle is 9 cm, correct to the nearest cm. Calculate the upper bound of the width of the…
Answer this question and get it marked →The line y = x + 1 intersects the curve y = x² + x − 3 at two points. Find the coordinates of the two points.
Answer this question and get it marked →x is inversely proportional to the square root of w. When w = 16, x = 3. Find x in terms of w.
Answer this question and get it marked →Some students record their reaction times. The table shows the results. Reaction time (t seconds) 0 < t ≤ 6 6 < t ≤ 10 --- --- --- Frequency 18 16 On a histogram, the height of…
Answer this question and get it marked →Simplify. (ax − 2a − x + 2) / (a² − 1)
Answer this question and get it marked →The derivative of 2ax⁷ + 3xᵏ is 42x⁶ + 15x^(k−1). Find the value of a and the value of k.
Answer this question and get it marked →The diagram shows a parallelogram OPQT. The position vector of P is a and the position vector of T is b. K is on PQ so that PK : KQ = 3 : 1. The lines OK and TQ are extended to…
Answer this question and get it marked →← October–November 2023 Paper 23 · October–November 2023 Paper 21 →