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.Use graph paper to draw a histogram for the following frequency distribution and hence estimate the mode.
Class 0-20 20-40 40-60 60-80 80-100 100-120 Frequency 7 16 20 10 5 6 
- A.40
- B.46
- C.50
- D.60
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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.A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes. Using the histogram drawn from this data, locate the mode by identifying the abscissa where the two straight lines AC and BD (drawn in the highest rectangle) intersect and meet the x-axis.
Number of cars Number of Periods 0-10 7 10-20 14 20-30 13 30-40 12 40-50 20 50-60 11 60-70 15 70-80 8 
- A.45 cars
- B.50 cars
- C.54 cars
- D.60 cars
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4.Draw a histogram from the following frequency distribution and determine the mode by locating the abscissa where the two straight lines AC and BD (drawn in the highest rectangle) intersect and meet the x-axis.
Class 0-5 5-10 10-15 15-20 20-25 25-30 Frequency 2 5 18 14 8 5 
- A.12
- B.13
- C.14
- D.15
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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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