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Moments – Year 13 A level maths test to download as PDF

Year 13 moments test – Otto the owl, Maths PDF
A Level Maths Year 13 – Tests with Answers – PDF
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This Year 13 moments test lasts 40 minutes and is marked out of 20. It covers the whole chapter for pupils aged 17-18, and the full answers are on a separate page.

  • ⏱️ Duration : 40 min
  • 🎯 Total : 20 marks
  • ❓ 5 questions
  1. Question 1 – Moments of forces

    A 25 N force acts at right angles to a rod at a point 0.6 m from a pivot \(O\), turning it anticlockwise. A 40 N force acts at \(35^\circ\) to the rod, 0.5 m from \(O\), turning it clockwise.

    1. Find the moment of each force about \(O\). [2 marks]
    2. Find the net moment and its direction. [2 marks]
  2. Question 2 – Beam on two supports

    A uniform beam \(AB\) of length 6 m and mass 30 kg rests on supports at \(C\) and \(D\), where \(AC=1\) m and \(BD=1\) m. A load of mass 20 kg is placed 0.5 m from \(A\).

    1. Find the reaction at \(C\) and the reaction at \(D\). [4 marks]
  3. Question 3 – Will the plank tilt?

    A uniform plank of length 4 m and mass 16 kg rests on supports \(C\) and \(D\) placed 0.5 m from each end. A girl of mass 40 kg stands on the end \(A\).

    1. Find the reaction at \(D\) and deduce whether the plank tilts. [4 marks]
  4. Question 4 – A hinged rod

    A uniform rod of length 1.6 m and mass 5 kg is hinged at \(A\) to a wall and held horizontal by a light string from \(B\) to the wall, at \(30^\circ\) to the rod.

    1. Find the tension in the string. [3 marks]
    2. Find the vertical force exerted by the hinge. [1 mark]
  5. Question 5 – Non-uniform rod

    A non-uniform rod \(AB\) of length 3 m and mass 6 kg balances horizontally on a pivot placed 1.1 m from \(A\) when a 4 kg mass is hung from \(A\).

    1. Find the distance of the centre of mass from \(A\). [3 marks]
    2. Find the force exerted by the pivot. [1 mark]

How to use this Year 13 moments test

First, revise with the moments lesson and the worksheet. Then sit the test in one go, with a timer set to 40 minutes. After that, mark your work with the moments test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 13 moments test as a PDF and print it like a real exam paper. 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.