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
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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
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2.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
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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
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4.(i) Use graph paper for this question. (Take $2\mathrm{cm} = 10$ Marks along one axis and $2\mathrm{cm} = 10$ students along another axis). A histogram is drawn for the marks obtained by 164 students in a particular class. From the histogram, what is the mode of the distribution?

- A.58.25
- B.64.12
- C.70.50
- D.76.75
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5.The histogram drawn on the graph represents the number of students of different heights (in cm).
Using the graph, answer the following:
(a) the number of students whose height is 150 cm and above.
(b) the modal height.
(c) the total number of students.
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