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
đ§ Challenge | Solve Random 10 | Refresh To Regenerate
Q1.
The volumes of two perpendicular circular rings are equal. The ratio of their heights is 4:9, then what will be the ratio of their radii?
Q2.
ABCD is a cyclic quadrilateral. The side BA is extended up to point F. AE is drawn parallel to CD, and â ABC = 92°, â FAE = 20°. Find the measure of â BCD.
Q3.
A and B start a business by investing 24,000 currency units and 30,000 currency units, respectively, at the beginning of the year. After 5 months, A contributes an additional 4,000 currency units. If the annual profit is 27,716 currency units, determine each person's share of the profit.
Q4.
A watch seller sold a watch for âš336. The percentage profit he made is equal to the cost price of the watch. â Form a quadratic equation with one variable from the given statement.
Q5.
Write when it is possible to determine the ratio between \(x\) days and \(z\) months.
Q6.
What will be the median of 33, 86, 68, 32, 80, 48, 70, 64, and 75?
Q7.
If the annual interest rates for âš8000 in the first and second years are 9% and 10% respectively, then the amount after 2 years including interest will be â
Q8.
00 āĻāĻžāĻāĻžā§ āĻāĻāĻāĻŋ āĻĻā§āĻ°āĻŦā§āĻ¯ āĻŦāĻŋāĻā§āĻ°ā§ āĻāĻ°āĻ˛ā§ 20% āĻ˛āĻžāĻ āĻšā§āĨ¤ āĻĻā§āĻ°āĻŦā§āĻ¯āĻāĻŋ 10% āĻā§āĻˇāĻ¤āĻŋāĻ¤ā§ āĻŦāĻŋāĻā§āĻ°āĻŋ āĻāĻ°āĻ¤ā§ āĻšāĻ˛ā§ āĻāĻ¤ āĻāĻžāĻāĻžā§ āĻŦāĻŋāĻā§āĻ°āĻŋ āĻāĻ°āĻ¤ā§ āĻšāĻŦā§ ? - translate in english
Q9.
If the compound interest rate is 6% for the first year and 4% for the second year, what will be the amount after 2 years on âš22,000?
Q10.
From vertex A of triangle \(\triangle ABC\), a perpendicular AD is drawn to the base BC, intersecting BC at point D. If \(AD^2 = BD \cdot CD\), prove that triangle ABC is a right-angled triangle and that \(\angle A = 90^\circ\).