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 from the following frequency distribution and determine the mode from the graph.
Class 20-25 25-30 30-35 35-40 40-45 45-50
Frequency 3 10 36 28 15 12
What is the mode of the given distribution?
- A.₹35
- B.₹40
- C.₹43
- D.₹45
2.Marks obtained by 100 students in an examination are given below:
Marks 0-10 10-20 20-30 30-40 40-50 50-60
Number of Students 5 15 20 28 20 12
Draw a histogram for the given data using graph paper and determine the mode.
- A.40
- B.44
- C.46
- D.50
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
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
5.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

Class	20-25	25-30	30-35	35-40	40-45	45-50
Frequency	3	10	36	28	15	12

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of Students	5	15	20	28	20	12

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

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

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

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