1.Calculate the area of a parallelogram that has a base measuring 24 cm and a height of 16 cm.
2.Calculate the area of a trapezium with parallel sides measuring 20 cm and 18 cm, and the height between these sides is 15 cm.
3.A triangle has a perimeter measuring 28 cm and an inradius of 2.5 cm. What is the area of this triangle?
4.A triangle has side lengths of 26 cm, 24 cm, and 10 cm. What is the area of this triangle?
5.What is the area of an equilateral triangle with each side measuring 16 cm?
6.Given three groups of students with sizes 55, 60, and 45, having average scores of 50, 55, and 60 respectively, what is the combined average score of all the students?
7.In a class, 16 boys have an average weight of 50.25 kg, while the other 8 boys have an average weight of 45.15 kg. What is the overall average weight of all the boys combined?
8.The mean weight of individuals A, B, and C is 45 kg. If the average weight of A and B together is 40 kg, and the average weight of B and C together is 43 kg, what is the weight of B?
9.The mean of 18 data points was initially found to be 124. Later, it was identified that two values, 46 and 82, were recorded incorrectly. Their true values should be 64 and 28. What is the revised average of the 18 data points?
10.An individual travels from point X to point Y at a velocity of 40 km/h and returns by increasing their speed by 50%. What is the average speed for the entire journey?
11.The average score of 30 students is recorded as 58.5. Later, it was discovered that a score of 75 was mistakenly noted as 57. What is the corrected average score?
12.In a factory, the combined average age of women and child workers is 15 years. The average age of the 16 children is 8 years, while the average age of the women workers is 22 years. If there are 10 married women workers, how many women workers are unmarried?
13.In a class, the overall average age of students is 15.8 years. The boys have an average age of 16.4 years, while the girls have an average age of 15.4 years. What is the ratio of the number of boys to girls in the class?
14.A student scored an average of 63 marks per subject in an exam. If he had scored 20 additional marks in Geography and 2 additional marks in History, his average would have risen to 65 marks per subject. How many subjects were there in total?
15.In a workshop, the overall average salary of all employees is Rs. 8000. If there are 7 technicians earning an average of Rs. 12000 each, and the remaining employees earn an average of Rs. 6000, what is the total number of workers in the workshop?
16.A group of students took a test where the overall average score was 52. The top 20% of students achieved an average of 80, while the bottom 25% had an average score of 31. What is the average score of the remaining 55% of students?
17.Three years ago, the average age of a husband, his wife, and their child was 27 years. Additionally, five years ago, the average age of the wife and child was 20 years. What is the current age of the husband?
18.A batsman has an average score over 10 innings. After scoring 108 runs in the 11th inning, his average increases by 6 runs. What is his updated average?
19.A cricket team consists of 11 players. The captain is 26 years old, and the wicket keeper is 3 years older than the captain. If these two players are excluded, the average age of the remaining 9 players is one year less than the overall team average. What is the average age of the entire team?
20.In a company, the average monthly pay of 20 workers is Rs. 1500. When the manager's salary is included, the average salary rises by Rs. 100. What is the monthly salary of the manager?