Dividing a line segment

Sample Dividing a line segment questions

A few of the 15 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 2
   P is (4, 9) and Q is (-2, 1). Find the midpoint of PQ.
   Show the worked solution

   Midpoint = ((4+(-2))/2, (9+1)/2) = (1, 5).
2. Question 23 marksGrade 3-4
   A is the point $(1, 6)$ and B is the point $(9, 2)$. Nia says that the midpoint of AB is $(5, 5)$

What are the common mistakes in Dividing a line segment?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses only the first point's x-coordinate instead of averaging both x-coordinates when finding a midpoint

  Used the first x-coordinate (-4) instead of finding the midpoint

• Forgets to divide by the total number of parts when finding a point that divides a line in a given ratio

  Calculated the numerator (2 × -10 + 2 × 8 = -4) but forgot to divide by 4

• Uses only the first point's coordinates instead of dividing the line in the given ratio

  Used the first point's coordinate directly instead of finding the division point

Quick answers about Dividing a line segment

How many Dividing a line segment practice questions are there?

There are 15 self-marking GCSE Maths questions on Dividing a line segment, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Dividing a line segment?

No. You can start practising Dividing a line segment straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.