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.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
2.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
3.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
4.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
5.Using the data given below, a cumulative frequency table is constructed and an ogive is drawn.
Marks Number of students
0-10 3
10-20 8
20-30 12
30-40 14
40-50 10
50-60 6
60-70 5
70-80 2
From the ogive, what is the median marks obtained by the students?
- A.25
- B.30
- C.35
- D.40

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

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

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

Marks	Number of students
0-10	3
10-20	8
20-30	12
30-40	14
40-50	10
50-60	6
60-70	5
70-80	2

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