ICSE Class 10 Histogram and Ogive — Mock Test (2027)
Free online mock test for Histogram and Ogive (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Histogram and Ogive chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.Draw a histogram for the following frequency distribution showing the distance thrown by 70 students in a Javelin throw competition and locate the mode from the graph.
What is the mode of the given distribution?Distance (in m) No. of students 0-10 6 10-20 7 20-30 13 30-40 20 40-50 14 50-60 7 60-70 3 - A.30 meters
- B.34 meters
- C.38 meters
- D.40 meters
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2.Draw a histogram for the following data showing the ages of 200 patients getting medical treatment in a hospital and locate the mode from the graph.
What is the mode of the given distribution?Age (In years) No. of Patients 10-20 40 20-30 22 30-40 35 40-50 50 50-60 23 60-70 30 - A.40 years
- B.43.5 years
- C.45 years
- D.50 years
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3.Following frequency distribution shows the expenditure on milk of 35 households in a locality. Draw a histogram for the data using graph paper and locate the mode.
Daily milk expenditure (Rs.) Number of households 0-20 5 20-40 6 40-60 9 60-80 6 80-100 4 100-120 5 
- A.₹40
- B.₹50
- C.₹60
- D.₹70
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4.Using the data given below, a cumulative frequency table is constructed and an ogive is drawn.
From the ogive, what is the median marks obtained by the students?Marks Number of students 0-10 3 10-20 8 20-30 12 30-40 14 40-50 10 50-60 6 60-70 5 70-80 2 - A.25
- B.30
- C.35
- D.40
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5.(i) Use graph paper for this question. (Take $2\mathrm{cm} = 10$ Marks along one axis and $2\mathrm{cm} = 10$ students along another axis). A histogram is drawn for the marks obtained by 164 students in a particular class. From the histogram, what is the mode of the distribution?

- A.58.25
- B.64.12
- C.70.50
- D.76.75
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