Mathematics Questions
Browse 1,240 Mathematics questions with expert-verified, step-by-step solutions — NCERT, exemplar and previous-year questions, organised by chapter.
Chapters
Ch01 Real NumbersCh01 Real NumbersCh02 PolynomialsCh02 PolynomialsCh03 Pair of Linear EquationsCh03 Pair of Linear Equations in Two VariablesCh04 Quadratic EquationsCh04 Quadratic EquationsCh05 Arithmetic ProgressionsCh05 Arithmetic ProgressionsCh06 TrianglesCh06 TrianglesCh07 Coordinate GeometryCh07 Coordinate GeometryCh08 Introduction to Trigonometry and its ApplicationsCh08 TrigonometryCh09 Applications of TrigonometryCh09 CirclesCh10 CirclesCh10 ConstructionsCh11 Areas Related to CirclesCh11 Areas Related to CirclesCh12 Surface Areas and VolumesCh12 Surface Areas and VolumesCh13 StatisticsCh13 Statistics and ProbabilityCh14 ProbabilityA1 Proofs in MathematicsA2 Mathematical Modelling
- Q1201 CBSE Board 2026The median of the following data is and the sum of all frequencies is . Find the values of and .
- Q1202 CBSE Board 2026The difference between two numbers is . The greater number is less than twice the smaller one.
- (i)Representing the above situation, frame two linear equations in two variables.
- (ii)Show that the equations have unique solution.
- (iii)Solve the equations and hence find the numbers.
- Q1203 CBSE Board 2026Find the mean and mode of the following distribution :
- Q1204 CBSE Board 2026Solve the following equations graphically : and .
- Q1205 CBSE Board 2026In a potato race, a bucket is placed at the starting point, which is m from the first potato. The other potatoes are arranged m apart in a straight line, with a total of potatoes, as shown in the figure : A competitor starts from the bucket, picks up the nearest potato, runs back to the bucket to drop it in, then returns to pick up the next potato. This process continues until all the potatoes are in the bucket. Based on the above information, answer the following questions :
- Q1206 CBSE Board 2026Case Study - 1 Your elder brother wants to buy a car and plans to take a loan from a bank for his car. He repays his total loan of ₹ by paying every month, starting with the first instalment of ₹ and he increases the instalment by ₹ every month. Based on the information given above, answer the following questions :
- Q1207 CBSE Board 2026Seema daily goes to a park to exercise on machines available there. When Seema spent minutes on exercise bicycle and minutes on double cross walker, she received a message of burning calories on her fitness watch. When she spent minutes on exercise bicycle and minutes on double cross walker, she received a message of burning calories. To find the number of calories burned per minute on each machine, answer the following:
- Q1208 CBSE Board 2026The best athlete of your school wants to participate in a m race in a state championship. Presently he can run that distance in seconds but is confident that with each day of practice it will take him seconds less than the previous day. So, first day he will take seconds, day seconds, third day seconds and so on, to complete the race. He wants to do it in seconds. Based on the above, answer the following questions :
- Q1209 CBSE Board 2026During a theatre drama, a backdrop of building arches was used. The shape of the curve shown below can be represented by the polynomial , where is the length (in feet) on stage level. Based on the figure given above, answer the following questions:
Graph of y = p(x) with zeroes at B and A and top of arch at C(1, y) - Q1210 CBSE Board 2026Carom board is a very popular game. The board is a square of side length cm. It has circular pockets in each corner. Ansh strikes a disc, kept at position with a striker. The disc hits the boundary of the board at and goes straight to pocket at corner . It is given that cm, cm, , and . Based on the above information, answer the following questions :
Geometric model of the shot: square board with points $P$, $Q$, $R$, $S$, $T$ and angles $\theta$, $\alpha$ - Q1211 CBSE Board 2026An arch of a railway bridge, built on the Chenab riverbed, is shown in the diagram. It is a parabolic arch connecting two hills at and . The parabolic curve is represented by the polynomial . Observe the diagram and, based on the above information, answer the following questions :
- Q1212 CBSE Board 2026While playing badminton, Ravi has set the barrier chain hung between two posts at the edge of the walkway of a street. It is hung in the shape of a parabola. Based on the above information, answer the following questions:
- Q1213 CBSE Board 2026Observe the figure given above. It shows six identical rectangular enclosures made by using fencing wire mesh. These enclosures are used to protect baby animals in a zoo. Dimensions of each enclosure is feet feet. The total length of fencing required is feet and area of each enclosure is square feet. Based on the above, answer the following questions :
Schematic of the six identical rectangular enclosures (2 columns x 3 rows). - Q1214 CBSE Board 2026A watermelon vendor arranged the watermelons similar to shown in the adjoining picture : The number of watermelons in subsequent rows differ by ''. The bottommost row has watermelons and the topmost row has watermelon. There are rows from bottom to top. Based on the above information, answer the following questions :
- Q1215 CBSE Board 2026A multistorey building is constructed with stilt parking. There is a provision of lift, as well as staircase from the ground floor to the top floor. The number of stairs from the ground floor to the first floor is , from the first floor to the second floor is , from the second floor to the third floor is , and so on. Based on the above information, answer the following questions :
- Q1216 CBSE Board 2026A city based NGO is organising a competition to break 'Dahi Handi' by forming a human pyramid on the occasion of Janmashtami. One troop with members decided to participate in the competition. They planned to build eleven level pyramid with level one being at the bottom and level eleven being at the top. Level one has members, level two has members, level three has members and so on. Based on the above information, answer the following questions :
- Q1217 CBSE Board 2026Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two sections 'A' and 'B'. Tower is supported by wires from a point 'O' (as shown in figure). Distance between the base of the tower and point 'O' is m. From point 'O', the angle of elevation of the top of the section 'B' is and the angle of elevation of the top of section 'A' is . Based on the above information, answer the following questions :
- Q1218 CBSE Board 2026Tejas is standing at the top of a building and observes a car at an angle of depression of as it approaches the base of the building at a uniform speed. seconds later, the angle of depression increases to , and at that moment, the car is m away from the building. Based on the information given above, answer the following questions :
- Q1219 CBSE Board 2026There are many varieties of mushrooms available in the world. One such mushroom 'Amanita muscaria' has an upper part which is like a red cap (hemispherical) and a lower part which is like a white stem (cylindrical). The hemispherical cap's radius cm and the cylindrical stem is cm high with diameter cm. Considering the mushroom a solid object, answer the following questions:
- Q1220 CBSE Board 2026In the school garden, Arun (A), Babu (B), Chandra (C) and Daya (D) planted flower plants of Sunflower, Rose, Champa and Jasmine respectively at point , , and respectively. Based on the above, answer the following questions: