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.Draw a histogram for the given data on a graph paper and estimate the mode from the graph.
Weekly wages (in ₹) Number of people
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.₹4000
- B.₹4600
- C.₹5000
- D.₹5500
2.Use graph paper to draw a histogram for the following frequency distribution and hence estimate the mode.
Class 0-20 20-40 40-60 60-80 80-100 100-120
Frequency 7 16 20 10 5 6
- A.40
- B.46
- C.50
- D.60
3.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
4.For the given frequency distribution, draw a histogram and use the method of intersecting lines AC and BD in the highest rectangle to calculate the mode.
Class 0-5 5-10 10-15 15-20 20-25 25-30
Frequency 2 7 18 10 8 5
- A.10
- B.13
- C.15
- D.12
5.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

Weekly wages (in ₹)	Number of people
3000-4000	4
4000-5000	18
5000-6000	9
6000-7000	6
7000-8000	7
8000-9000	2
9000-10000	4

Class	0-20	20-40	40-60	60-80	80-100	100-120
Frequency	7	16	20	10	5	6

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

Class	0-5	5-10	10-15	15-20	20-25	25-30
Frequency	2	7	18	10	8	5

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

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