This Year 13 numerical methods quiz has 10 short questions for pupils aged 17-18. Type your answer, check it straight away and read the explanation when you get one wrong.
Year 13 numerical methods quiz: the 10 questions
- Does 1/x have a root between -1 and 1?It has an asymptote, not a root.
- What is h for 5 strips between 0 and 2?2/5.
- Newton-Raphson: what is x1 for f=x^2-4, x0=3?3-5/6.
- Is the trapezium rule an over or under estimate for a convex curve?Chords above.
- What must be true of f to use a sign change?Condition.
- If g'(a)=-0.4, is the diagram a staircase or a cobweb?Negative gradient.
- Give the range of g' for convergence.Condition.
- What is the first step to find a root numerically?Sign change.
- Compute the trapezium estimate for y values 1, 3, 5 with h=1.(1/2)(1+5+2*3).
- Does a sign change prove that exactly one root exists?At least one.
How to use this Year 13 numerical methods quiz
First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the numerical methods lesson and try again later. After that, try the multiple choice questions or the numerical methods worksheet.
Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.


















