Podcast
Questions and Answers
In quadrilateral ABCD, if AB is parallel to CD and AD = BC = 5 cm with ∠A = 105°, what is the value of ∠B?
In quadrilateral ABCD, if AB is parallel to CD and AD = BC = 5 cm with ∠A = 105°, what is the value of ∠B?
If a sphere is enclosed inside a cube with a volume of 72 cm³, what is the volume of the sphere?
If a sphere is enclosed inside a cube with a volume of 72 cm³, what is the volume of the sphere?
Harsh has an average score of 46 runs across 5 innings. Given his scores in 4 innings, what is the score in his last inning?
Harsh has an average score of 46 runs across 5 innings. Given his scores in 4 innings, what is the score in his last inning?
Given the lengths of the perpendiculars from a point inside an equilateral triangle as 12 cm, 16 cm, and 10 cm, what is the area of the triangle?
Given the lengths of the perpendiculars from a point inside an equilateral triangle as 12 cm, 16 cm, and 10 cm, what is the area of the triangle?
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The average of 9 numbers is 22, with the first 4 numbers averaging 25. What is the 4th number if the last 4 average 21?
The average of 9 numbers is 22, with the first 4 numbers averaging 25. What is the 4th number if the last 4 average 21?
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Study Notes
Geometry and Algebra Problems
- Question 1: In quadrilateral ABCD, AB is parallel to CD, AD = BC = 5 cm, and angle A = 105°. Find the value of angle B.
- Question 2: A sphere is enclosed within a cube with a volume of 72 cm³. Calculate the volume of the sphere.
- Question 3: Vinayak's average score in 4 tests is 82.25. His highest 3 scores average 83, and his two lowest scores are the same. Determine the average of his two highest scores.
- Question 4: Identify whether the following numbers are rational or irrational: √6, √5 + √7, √5 - √7, (3 - √6)(3 - √6).
- Question 5: A rectangle has a length of 20 cm and a width of 99 cm. Find the radius of the circle circumscribing the rectangle.
- Question 6: A quadrilateral has angles of 29°, 31°, and 144°. Find the fourth angle.
- Question 7: Harsh's average score in 5 innings of cricket is 46 runs. His scores in 4 innings are 46, 45, 39, and 55. Calculate his score in the fifth inning.
- Question 8: From a point inside an equilateral triangle, perpendiculars are dropped to each side. The lengths of these perpendiculars are 12 cm, 16 cm, and 10 cm. Find the area of the triangle.
- Question 9: The average of 9 numbers is 22. The average of the first 4 numbers is 25, and the average of the last 4 is 21. Determine the 4th number.
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Description
Test your knowledge with a variety of geometry and algebra problems. This quiz covers topics such as angles in quadrilaterals, volume calculations, average scores, and identification of rational and irrational numbers. Challenge yourself and see how well you can solve these mathematical questions!
