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 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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2.Use a graph paper to draw a histogram representing the daily pocket expenses of 100 students and estimate the mode from the graph.
What is the mode of the given distribution?Pocket expenses (in Rs.) Number of students 0-10 7 10-20 5 20-30 14 30-40 21 40-50 25 50-60 15 60-70 6 70-80 7 - A.₹30
- B.₹36
- C.₹40
- D.₹45
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3.The following distribution gives the weights of 60 students of a class. Using the histogram drawn from this data, locate the mode by identifying the abscissa of the point where two straight lines AC and BD (drawn in the highest rectangle) intersect and meet the x-axis.
Weight (in kg) Number of students 40-44 4 44-48 6 48-52 10 52-56 14 56-60 10 60-64 8 64-68 6 68-72 2 
- A.52 kg
- B.54 kg
- C.56 kg
- D.58 kg
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4.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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5.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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