The Math Factory
1. Quadratic equation in one variable
2. Simple interest calculation
3. Theorems related to circles
4. Cuboid
5. Ratio and proportion
6. Compound interest and growth rate
7. Theorem related to angle in a circle
8. Right circular cylinder
9. Quadratic factorization
10. Theorem related to cyclic quadrilateral
11. Construction: Drawing the circumcircle and incircle of a triangle
12. Sphere
13. Variation
14. Partnership business
15. Theorem related to tangent to a circle
16. Right circular cone
17. Construction: Drawing a tangent to a circle
18. Similarity
19. Real-life problems related to different solid shapes
20. Trigonometry: Concept of angle measurement
21. Construction: Finding the mean proportional
22. Pythagoras theorem
23. Trigonometric ratios and trigonometric identities
24. Trigonometric ratios of complementary angles
25. Application of trigonometric ratios: Height and distance
26. Statistics: Mean, Median, Ogive, Mode
🧠Challenge | Solve Random 10 | Refresh To Regenerate
Q1.
If a right circular cone and a hemisphere have equal volumes and equal bases, then their height ratio will be 2:1.
Q2.
If the ratio of the radii of two vertical solid cylinders is 2:3 and the ratio of their heights is 5:3, then the ratio of their curved surface areas is 20:27.
Q3.
The ratio of the capital investments of A, B, and C is 2:3:5, and the ratio of their investment durations is 3:4:5. Then, the profit will be distributed in the ratio _____.
Q4.
In a business, Pintu invested \(1\frac{1}{2}\) times the amount Aman did, and David invested \(2\frac{1}{2}\) times the amount Aman did. The ratio of the capital contributions of Aman, Pintu, and David will be: _____
Q5.
How many non-collinear points are required at minimum to draw a unique circle?
Q6.
Draw a square with the same area as a rectangle whose side lengths are 7.9 cm and 4.1 cm.
Q7.
The mode of a data set can have more than one value.
Q8.
If \(∠A + ∠B = 90°\), then find the value of \(1 + \frac{\tan A}{\tan B}\).
Q9.
If both the radius and height of a cone are doubled, the volume of the cone will increase by _____ times the original volume.
Q10.
If \( \sin\theta = \cos\theta \), then the value of \( 2\theta \) is –