Cambridge IGCSE · International Mathematics (0607)

Length and midpoint: Practice Questions

3 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Length and midpoint.

7 questions15 marksFree, no account
Question 1
1 mark

Find the coordinates of the midpoint of the line segment joining the points (5, -2) and (11, 8).

Question 2
1 mark

The distance between the point (a, 3) and the point (4, 7) is \(5\) units. Given that \(a > 4\), find the value of \(a\).

Question 3
1 mark

The midpoint of a line segment joining point \(A(-2, 5)\) and point \(B\) is \(M(3, 1)\). Find the coordinates of point \(B\).

Question 4
2 marks

Find the coordinates of the midpoint of the line segment joining the points \(P(-5, 2)\) and \(Q(3, 8)\).

Write your answer out first, then check it against the worked solution.

Question 5
4 marks

A line segment has midpoint \(M(2, 3)\). One endpoint is \(A(-1, 5)\). Find the coordinates of the other endpoint \(B\).

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Question 6
3 marks

Point \(A\) has coordinates \((-3, 7)\) and point \(B\) has coordinates \((5, 1)\). Calculate the length of the line segment \(AB\).

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Question 7
3 marks

A line segment joins the point \(A(4, -1)\) and the point \(B(-2, 7)\).
(a) Find the coordinates of the midpoint of \(AB\).
(b) Calculate the length of the line segment \(AB\).

Write your answer out first, then check it against the worked solution.

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