Maths › Flashcards › Further Pure 2: lesson checks, part 2
Further Pure 2: lesson checks, part 2 flashcards
This deck has 6 check-yourself questions and 5 spot-the-error cards. The misconception each lesson corrects, and its check-yourself question with the worked answer. Rate each answer, and the card comes back sooner or later depending on how you rated it.
Further Maths · all 584 maths cards
How the five kinds differ
Standard results ask you to recall a formula or a value. Definitions ask you to state a mathematical term precisely. Recall prompts ask for a rule, condition or method. Check yourself cards are a short question with its answer. Spot the error cards ask you to correct a statement that is wrong.
Every card in this deck
Choose any card to try it in the player above. Each card links to the lesson that teaches it.
- |z − a| = k|z − b| is a perpendicular bisector for every value of k.Spot the error
- Describe the locus |z − 1| = |z + 3|.Check
- A transformation of the complex plane sends straight lines to straight lines.Spot the error
- Under w = z², find the image of the circle |z| = 3.Check
- Finding the highest common factor of two large numbers means factorising both into primes.Spot the error
- Use the Euclidean algorithm to find the highest common factor of 84 and 30.Check
- To find the remainder when 4 to the power 20 is divided by 7 you must first compute the number.Spot the error
- Use Fermat's little theorem to find the least positive residue of 2¹⁰⁰ modulo 13.Check
- In how many ways can 4 books be chosen from 9, and in how many ways can 4 be arranged in a row from 9?Check
- A sequence defined by a recurrence can only be evaluated term by term, never jumped into directly.Spot the error
- Write down the auxiliary equation for un+2 − 5un+1 + 6un = 0, and its general solution.Check
The lessons these cards come from
- Combinatorics
- Further loci and regions in the Argand diagram
- Modular arithmetic and Fermat's little theorem
- Recurrence relations
- The Euclidean algorithm and Bézout's identity
- Transformations of the complex plane
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