Histograms

Sample Histograms questions

A few of the 63 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 14 marksGrade 4-5
   The table shows ages of people at a concert. To draw a histogram, calculate the frequency density for each class.
   Show the worked solution

   Frequency density = frequency ÷ class width.

   10-15 (width 5): 8÷5=1.6. 15-25 (width 10): 24÷10=2.4. 25-40 (width 15): 30÷15=2.0. 40-70 (width 30): 39÷30=1.3. M1

What are the common mistakes in Histograms?

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 frequency directly on a histogram axis without dividing by class width to get frequency density

  Used the frequency itself as the height instead of dividing by the class width (10)

• Reads off the frequency density where the frequency itself was asked for

  Read off the frequency density values directly instead of multiplying each by the class width to recover the frequency.

• Divides where multiplying by the frequency was needed

  Divided the frequency density by the class width instead of multiplying

Quick answers about Histograms

How many Histograms practice questions are there?

There are 63 self-marking GCSE and IGCSE Maths questions on Histograms, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Histograms?

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