List of top Mathematics Questions asked in CBSE Class X

Evaluate the following. 
(i) sin60° cos30° + sin30° cos 60°
(ii) 2tan²45° + cos²30° - sin²60°
(iii) \(\frac{cos 45°}{sec 30°+cosec30°}\)

(iv) \(\frac{sin\ 30°+tan\ 45°cosec\ 60°}{sec\ 30°+cos\ 60°+cot\ 45°}\)

(v) \(\frac{5cos^260°+4sec^230°-tan^245°}{sin^230°+cos^230°}\)

If \(cot\  \theta = \frac{7}{8},\) evaluate:

(i) \(\frac{(1 + sin\  \theta)(1 – sin θ)}{(1+cos θ)(1-cos θ)}\)

(ii) \(cot^2\) \(θ\)

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

To find out the concentration of SO\(_2\) in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

The table below shows the daily expenditure on food of 25 households in a locality

Find the mean daily expenditure on food by a suitable method.

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

1. \(2, 7, 12, .......,\) to \(10\) terms.
2. \(–37, –33, –29,.......,\) to \(12\) terms.
3. \(0.6, 1.7, 2.8, ......., \)to \(100\) terms.
4. \(\frac {1}{15}, \frac {1}{12}, \frac {1}{10}, .......,\) to \(11\) terms.

Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heartbeats per minute for these women, choosing a suitable method.