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.A stopwatch was used to find the time that it took a group of students to run 100m. 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.
Time (in sec) No. of students 0-20 8 20-40 10 40-60 13 60-80 6 80-100 3 
- A.40 seconds
- B.50 seconds
- C.82.6 seconds
- D.60 seconds
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2.Draw a histogram for the given data on a graph paper and estimate the mode from the graph.
What is the mode of the given distribution?Weekly wages (in ₹) Number of people 3000-4000 4 4000-5000 18 5000-6000 9 6000-7000 6 7000-8000 7 8000-9000 2 9000-10000 4 - A.₹4000
- B.₹4600
- C.₹5000
- D.₹5500
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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.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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5.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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