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 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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3.The weekly observation on cost of living index in a certain city for a particular year is given in the table below. Using a histogram and the method of intersecting lines AC and BD in the highest rectangle, determine the mode of the data.
Cost of Living Index Number of Weeks 140-150 5 150-160 10 160-170 20 170-180 9 180-190 6 190-200 2 - A.160
- B.165
- C.170
- D.155
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4.The following distribution gives the life times of washing machines of a certain company. Draw a histogram for the data using graph paper and locate the mode.
Life time (in hours) No. of washing machines 1000-1200 15 1200-1400 60 1400-1600 68 1600-1800 86 1800-2000 75 2000-2200 61 2200-2400 45 
- A.1600 hours
- B.1720 hours
- C.1800 hours
- D.1900 hours
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5.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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