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.

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Sample questions

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
2.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.
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
What is the mode of the given distribution?
- A.300 runs
- B.360 runs
- C.400 runs
- D.500 runs
3.Following frequency distribution shows the Air Quality Index of different localities of Delhi on 27th January 2024. 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.
AIQ Number of Weeks
270-280 4
280-290 10
290-300 14
300-310 20
310-320 24
320-330 8
- A.305 AIQ
- B.310 AIQ
- C.312 AIQ
- D.320 AIQ
4.The following distribution gives the daily wages of 60 workers of a factory.
Daily income in ₹ Number of workers (f)
200–300 6
300–400 10
400–500 14
500–600 16
600–700 10
700–800 4
Use graph paper to draw a histogram and hence determine the mode of the given distribution.
- A.₹475
- B.₹500
- C.₹525
- D.₹550
5.Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below. Draw a histogram representing the distribution and estimate the mode from the graph.
Pocket expenses (in Rs.) Number of students
0-5 10
5-10 14
10-15 28
15-20 42
20-25 50
25-30 30
30-35 14
35-40 12
- A.Rs 18
- B.Rs 20
- C.Rs 21
- D.Rs 25

Time (in sec)	No. of students
0-20	8
20-40	10
40-60	13
60-80	6
80-100	3

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

AIQ	Number of Weeks
270-280	4
280-290	10
290-300	14
300-310	20
310-320	24
320-330	8

Daily income in ₹	Number of workers (f)
200–300	6
300–400	10
400–500	14
500–600	16
600–700	10
700–800	4

Pocket expenses (in Rs.)	Number of students
0-5	10
5-10	14
10-15	28
15-20	42
20-25	50
25-30	30
30-35	14
35-40	12

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