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.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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2.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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3.Draw a histogram from the following frequency distribution and determine the mode from the graph.
What is the mode of the given distribution?Class 20-25 25-30 30-35 35-40 40-45 45-50 Frequency 3 10 36 28 15 12 - A.₹35
- B.₹40
- C.₹43
- D.₹45
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4.Draw a histogram for the following frequency distribution showing the expenditure on milk of 60 households and locate the mode from the graph.
What is the mode of the given distribution?Daily milk expenditure (Rs.) Number of households 0-30 10 30-60 12 60-90 18 90-120 12 120-150 8 - A.₹60
- B.₹75
- C.₹90
- D.₹105
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5.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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