Day 11 - Question Set

Aug 25, 2026

Uploaded by Aurora

This document contains a set of 28 questions related to mathematics, likely for exam preparation or practice. The questions cover a wide range of topics including algebra (equations, exponents, logarithms, sequences), geometry (circles, trapezoids, rectangles, areas), and functions (maximum values, composition). Some questions are accompanied by diagrams to illustrate the problem. The format suggests these are individual problems to be solved, with some possibly having multiple-choice options or requiring numerical answers. The questions are sequential and numbered from Q1 to Q28, indicating a structured assessment or review session. The document appears to be a compilation of challenging mathematical problems designed to test a student's understanding of various concepts and problem-solving skills, including simplification of expressions, solving equations, coordinate geometry, and geometric properties.

LanguageEnglish

CategoryExam

FormatPDF

Pages7

Reading Time18 min

AccessFree to download

Day 11 - Question Set

Q1. Find the value of n in the equation below:

Q2. Calculate ~~4! ~~−2!~~ 2!~~

Q3. How can (0 .25)0.25 be simplified?

Q4. Find the unknown side of the shape below:

Q5. What is the maximum value of f (x) = x2 − 4x + 5 ?

Q6. Find x:

Q7. Solve for x : log2 (x − 3) + log2 (x − 5) = 3

Q8. If x − y = 3 and x + y = 27 , then what's the value of √x2 − y 2 ?

Q9. If ~~a~~b = ~~2~~3 , find ~~5a~~2a~~3b~~b

Q10. The first term of a geometric sequence is 10 and the common ratio is-2 . Find the sixth term of the sequence .

Q11. If f (x) = x2 + 4x + 4 and g (x) = x + 1 , find f (g (2))

Q12. Find x:

Q13. Find the value of the real parameter a, for which the equation (a − 2) x = (a − 2)2 has infinitely solutions .

Q14. Find the maximum value of the function f (x) = ( ~~ 1~~2) x2 +6x+9

Q15. What is the value of x in the figure below?

Q16. Solve the following equation:

Q17. Determine the value of x:

0">Q18. Solve for x: 9x − 3x+1 + 2 > 0

Q19. Find the radius if the bigger circle:

Q20. What value does √x + √x + √x + ... converge to?

Q21. What is the equation of the circle concentric with the circle (x − 2)2 + (y + 1)2 = 5 that is tangent to the line 2x − y + 2 = 0?

Q22. Find all real solutions to the equation: log4 (2x2 + 3x + 1) ≤ log2 (2x + 2)

Q23. Find the area of the blue region, given that AB + AD = 10cm:

Q24. Find SS~~2~~1 : S2 S1

Q25. Find the area of the trapezoid:

Q26. Given a rectangle, where point M is the midpoint of BC and AM = 10 . Find the area of the pink triangle .

Q27. Find the area of the trapezoid in the figure below:

Q28. If the triangle circumscribed around the white circle with the area of 4 is equilateral, find the red circle's area .

FAQs

What mathematical topics are covered in this question set?

The question set covers a broad range of mathematical topics including algebra, geometry, functions, logarithms, sequences, and equation solving.

Are there any visual aids provided with the questions?

Yes, several questions are accompanied by diagrams to help illustrate the geometric or algebraic problems being presented.

What is the purpose of this document?

This document appears to be a set of practice problems or an exam preparation material designed to test students' knowledge and problem-solving skills in various areas of mathematics.

Aug 25, 2026

Uploaded by Aurora