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.Monthly daily wages of 110 workers, obtained in a survey, are tabulated below:
Wages (in ₹) Number of people
6000-7000 8
7000-8000 36
8000-9000 18
9000-10000 15
10000-11000 11
11000-12000 8
12000-13000 4
Use graph paper to draw a histogram and hence determine the mode of the given distribution.
- A.₹7400
- B.₹7600
- C.₹7800
- D.₹8000
2.Marks obtained by 100 students in an examination are given below:
Marks 0-20 20-40 40-60 60-80 80-100 100-120
Number of Students 10 15 20 28 20 7
Draw a histogram for the given data using graph paper and determine the mode.
- A.65 marks
- B.70 marks
- C.75 marks
- D.80 marks
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
4.Draw a histogram for the following frequency distribution showing the distance thrown by 70 students in a Javelin throw competition and locate the mode from the graph.
Distance (in m) No. of students
0-10 6
10-20 7
20-30 13
30-40 20
40-50 14
50-60 7
60-70 3
What is the mode of the given distribution?
- A.30 meters
- B.34 meters
- C.38 meters
- D.40 meters
5.Draw a histogram and hence estimate the mode for the following frequency distribution.
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 2 8 10 5 4 3
- A.20
- B.23
- C.25
- D.30

Wages (in ₹)	Number of people
6000-7000	8
7000-8000	36
8000-9000	18
9000-10000	15
10000-11000	11
11000-12000	8
12000-13000	4

Marks	0-20	20-40	40-60	60-80	80-100	100-120
Number of Students	10	15	20	28	20	7

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

Distance (in m)	No. of students
0-10	6
10-20	7
20-30	13
30-40	20
40-50	14
50-60	7
60-70	3

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	2	8	10	5	4	3

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