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Problem solving with non-linear relationships

The starter and exit quiz of the lesson “Problem solving with non-linear relationships”, from the unit “Non-linear relationships” (Year 9 Maths) by Oak National Academy.

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12 questions

  1. Which of these are triangular numbers?
  2. Use a calculator to work out the value of 3^{8}. ___.
  3. The next term in the geometric sequence 0.4, 2, 10, ... is ___.
  4. Which of these could be the first 4 terms in an arithmetic sequence?
  5. What is the n^{\text{th}} term rule for the linear sequence which starts 13, 8, 3, -2, ...?
  6. Which of these could be the first 5 terms of a sequence with a common second difference? (These are called quadratic sequences).
  7. This table shows the value of a car two years after it was made. If the values form a geometric sequence, what is the common multiplier between terms? (You may use your calculator.)
  8. This table shows the value of a car 2 years after it was made. If the values continue to follow the same geometric sequence, what is the car's value after 3 years? (You may use your calculator.) £___
  9. This table shows the value of a car two years after it was made. Why might this sequence not continue as the same geometric sequence forever?
  10. Which two sequences can be added to make the first 5 terms of a linear sequence?
  11. Order these terms so they form part of a Collatz sequence: "If the term is even, the next term is half the previous term. If the term is odd, the next term is 3 times the previous term add 1".
  12. Which two sequences can be added to make the first 5 terms of a linear sequence?

License: OGL

Problem solving with non-linear relationships · Examplary