Modulus and argument Study guides, Revision notes & Summaries

OCR 2023 GCE FURTHER MATHEMATICS B MEI Y420/01: CORE PURE A LEVEL QUESTION PAPER & MARK SCHEME (MERGED) You must have: • the Printed Answer Booklet • the Formulae Booklet for Further Mathematics B (MEI) • a scientific or graphical calculator QP Oxford Cambridge and RSA Thursday 25 May 2023 – Afternoon A Level Further Mathematics B (MEI) Y420/01 Core Pure Time allowed: 2 hours 40 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and...

OCR 2023 GCE FURTHER MATHEMATICS A Y531/01: PURE CORE AS LEVEL QUESTION PAPER & MARK SCHEME (MERGED) You must have: • the Printed Answer Booklet • the Formulae Booklet for AS Level Further Mathematics A • a scientific or graphical calculator QP Oxford Cambridge and RSA Monday 15 May 2023 – Afternoon AS Level Further Mathematics A Y531/01 Pure Core Time allowed: 1 hour 15 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagra...

OCR 2023 GCE FURTHER MATHEMATICS B MEI Y420/01: CORE PURE A LEVEL QUESTION PAPER & MARK SCHEME (MERGED) You must have: • the Printed Answer Booklet • the Formulae Booklet for Further Mathematics B (MEI) • a scientific or graphical calculator QP Oxford Cambridge and RSA Thursday 25 May 2023 – Afternoon A Level Further Mathematics B (MEI) Y420/01 Core Pure Time allowed: 2 hours 40 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and...

Monday 15 May 2023 – Afternoon AS Level Further Mathematics A Y531/01 Pure Core Time allowed: 1 hour 15 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided in the Printed Answer Booklet. If you need extra space use the lined pages at the end of the Printed Answer Booklet. The question numbers must be clearly shown. • Fill in the boxes on the front of the Printed Answer Book...

A Level Further Maths Core Pure Form of complex numbers ️a + bi Real and imaginary parts of z = a + bi ️Re(z) = a, Im(z) = b When two complex numbers are equal, what is true ️Their real parts are equal and their imaginary parts are equal i² ️-1 i³ ️-i i⁴ ️1 Determinant for two real roots (distinct roots) ️b² - 4ac > 0 Determinant for one real root (repeated roots) ️b² - 4ac = 0 Determinant for no real roots (two distinct complex roots) ️b² - 4ac &l...

Thursday 25 May 2023 – Afternoon A Level Further Mathematics B (MEI) Y420/01 Core Pure Time allowed: 2 hours 40 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided in the Printed Answer Booklet. If you need extra space use the lined pages at the end of the Printed Answer Booklet. The question numbers must be clearly shown. • Fill in the boxes on the front of the Printed Answe...

Form of complex numbers a + bi Real and imaginary parts of z = a + bi Re(z) = a, Im(z) = b When two complex numbers are equal, what is true Their real parts are equal and their imaginary parts are equal i² -1 i³ -i i⁴ 1 Determinant for two real roots (distinct roots) b² - 4ac > 0 Determinant for one real root (repeated roots) b² - 4ac = 0 Determinant for no real roots (two distinct complex roots) b² - 4ac < 0 Co...

OCR 2023 GCE FURTHER MATHEMATICS A Y541/01: PURE CORE 2 A LEVEL QUESTION PAPER & MARK SCHEME (MERGED) You must have: • the Printed Answer Booklet • the Formulae Booklet for A Level Further Mathematics A • a scientific or graphical calculator QP Oxford Cambridge and RSA Monday 5 June 2023 – Afternoon A Level Further Mathematics A Y541/01 Pure Core 2 Time allowed: 1 hour 30 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams...

Monday 5 June 2023 – Afternoon A Level Further Mathematics A Y541/01 Pure Core 2 Time allowed: 1 hour 30 minutes INSTRUCTIONS • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided in the Printed Answer Booklet. If you need extra space use the lined pages at the end of the Printed Answer Booklet. The question numbers must be clearly shown. • Fill in the boxes on the front of the Printed Answer Boo...

1 The roots of the equation 4x 4 -2x 3 -3x+2 = 0 are a, b, c and d. By using a suitable substitution, find a quartic equation whose roots are a+2, b+2, c+2 and d+2 giving your answer in the form at4 + bt3 + ct2 + dt + e = 0, where a, b, c, d, and e are integers. [5] 2 The lines L1 and L2 have the following equations. J-5N J 5 N L : r = K 6 O + m K O 1 K O K-2O L 15P K -2 O J24N J 3 N L : r = K 1 O +n K 1 O 2 K O K O L -5P L -4P (a) Show that L1 and L2 inte...