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.
Sample questions
-
1.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
-
2.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
-
3.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
-
4.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.
What is the mode of the given distribution?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 - A.300 runs
- B.360 runs
- C.400 runs
- D.500 runs
-
5.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
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test