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.Using a graph paper, draw a histogram for the given distribution showing the number of runs scored by 50 batsmen and estimate the mode of the data.
What is the mode of the given distribution?Runs Scored Number of batsman 3000-4000 4 4000-5000 18 5000-6000 9 6000-7000 6 7000-8000 7 8000-9000 2 9000-10000 4 - A.300 runs
- B.360 runs
- C.400 runs
- D.500 runs
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2.The histogram drawn on the graph represents the number of students of different heights (in cm).
Using the graph, answer the following:
(a) the number of students whose height is 150 cm and above.
(b) the modal height.
(c) the total number of students. -
3.On annual day of a school, 400 students participated in the function. 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.
Ages (in years) Number of students 5-7 70 7-9 120 9-11 32 11-13 100 13-15 45 15-17 28 17-19 5 
- A.7.0 years
- B.7.8 years
- C.8.5 years
- D.9.0 years
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4.A Mathematics aptitude test of 50 students is given below. 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.
Marks 50-60 60-70 70-80 80-90 90-100 Number of students 4 8 14 19 5 
- A.42 marks
- B.46 marks
- C.50 marks
- D.85 marks
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5.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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