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.Marks obtained by 100 students in an examination are given below:
Draw a histogram for the given data using graph paper and determine the mode.Marks 0-10 10-20 20-30 30-40 40-50 50-60 Number of Students 5 15 20 28 20 12 - A.40
- B.44
- C.46
- D.50
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2.Using a graph paper, draw a histogram for the given distribution showing the number of runs scored by 50 batsmen in IPL and estimate the mode of the data.
What is the mode of the given distribution?Runs Scored Number of batsman 200-300 4 300-400 18 400-500 9 500-600 7 600-700 6 700-800 4 800-900 2 - A.300 runs
- B.350 runs
- C.400 runs
- D.450 runs
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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.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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5.Following frequency distribution shows the expenditure on milk of 35 households in a locality. Draw a histogram for the data using graph paper and locate the mode.
Daily milk expenditure (Rs.) Number of households 0-20 5 20-40 6 40-60 9 60-80 6 80-100 4 100-120 5 - A.₹40
- B.₹50
- C.₹60
- D.₹70
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