DAY 9 - WIUT PREP - Question Set

Q: What types of problems are included in this Day 9 question set?

It includes simplification of radicals, solving absolute value inequalities and equations, sequence-based calculations, geometry area/perimeter problems, trigonometry equations, and probability/conditional probability questions.

Q: Does the set include right-triangle identification?

Yes. One question asks which options form a right triangle, including cases with side lengths and angles.

Q: Are there circle-related geometry questions in Day 9?

Yes. The set includes problems asking for circle radius and the area of a square circumscribed around a circle, plus triangle and shaded-region area questions connected to given figures or equations.

Aug 25, 2026

Uploaded by Aurora

A structured Day 9 question set focused on core mathematics problem solving. Topics include simplifying radical expressions, solving absolute value inequalities, calculating areas from geometric conditions, working with sequences and functional maxima, and applying probability and conditional probability. Additional questions cover right-triangle identification using trigonometric values, solving exponential and radical equations, trigonometric equations involving sine and cosine, and equation solving through transformations. Geometry tasks address shaded regions, triangle and circle-related areas, and circumscribed-square area.

LanguageEnglish

CategoryExam

FormatPDF

Pages7

Reading Time18 min

AccessFree to download

Question Set

Algebra and Equations

Geometry and Area

Trigonometry and Functions

Probability and Sequences

Day 9 . Question set. Q1 . Simplify the following expression:−2 √16y + 10 √y Q2 . Solve for x: 2 ∣4x − 10∣ + 3 ≥ 17 Q3 . Given a square plot of land with distance between two opposite vertexes of 2√ 2 km. Calculate the area of the plot. Q4 . The sum of three consecutive even numbers is 126 . Find the largest number in this series . Q5 . At sunset, a tree projects a shade that is 2 .5 meters of length. The distance from the tree top to the most distant end of the shade is 4 meters . What is height of the tree? Q6 . Express y in terms of t in given the equation below: 2y + t = 4 y − t Q7 . Find the maximum value of the function f (x) = x − 5 in the range x ∈ [−5, −3] Q8 . Which of the following is a right triangle? (Select all that apply ) . (I) a = 0 .3 , b = 0 .4 , c = 0 .5 (II) A = 23o , B = 80o (III) C = 34o , B = 56o (IV ) a = 2 , b = 4 , c = 5 Q9 . Solve: 9 + 9x = 10 ⋅ 3x Q10 . If in a certain sequence xn = ~~2~~4~~n + 8~~n , calculate x2 . Q11 . In a group of kids, the probability a randomly selected child likes oranges is 0 .6 . The probability they like both oranges and apples is 0 .3 . If a child who likes oranges is selected, what's the probability they also like apples? Q12 . Calculate the height of the triangle: Q13 . If 7 times the square of a positive number is reduced by 3 and the result is greater than 60 , what can the number be? Q14 . Two cyclists leave at the same time from the same place on a circle . The first does a lap in 3 minutes and the other in 4 minutes . After how much time will they meet again at the starting point? Q15 . Find the solutions to the equation: 6x2 +5 = 64x~~ 1 ~~36x Q16 . Find the radius of the circle: Q17 . Find all sets of solutions to the equation: cos 2x − 7 sin x − 4 = 0 Q18 . Compute the sum of the solutions to the equation:∣x2 − 5x∣ = 6 Q19 . Find the ratio of the colored triangle's area to the total area of the square in the figure below: Q20 . If x ∈ (0, 2π) , solve 1~~ ~~ossi~~x~~n2x < 0 Q21 . Find the area of the shaded region: Q22 . Joe and John are planning to paint a house together. John thinks that if he worked alone, it would take him 3 times more than if he worked with Joe to paint the whole house . Working together, they complete the job in 24 hours . How long would it take Joe, working alone, to finish the job? Q23 . Solve the equation: 2~~ ~~~~ ~~x + ~~x~~x~~ ~~~~ 5~~2 + ~~3x~~x2~~ ~~~~8~~4 = 0 Q24 . Find the blue triangle's area: Q25 . Find the area of the square circumscribed around a circle with the equation 2x2 + 2y2 + 2x + 24y + 16 = 0 . Q26 . Find the area of the triangle: Q27 .Find the area of the rectangle . Q28 . Solve the following reciprocal equation: x4 − 3x3 + 4x2 − 3x + 1 = 0

FAQs

What types of problems are included in this Day 9 question set?

It includes simplification of radicals, solving absolute value inequalities and equations, sequence-based calculations, geometry area/perimeter problems, trigonometry equations, and probability/conditional probability questions.

Does the set include right-triangle identification?

Yes. One question asks which options form a right triangle, including cases with side lengths and angles.

Are there circle-related geometry questions in Day 9?

Yes. The set includes problems asking for circle radius and the area of a square circumscribed around a circle, plus triangle and shaded-region area questions connected to given figures or equations.

Aug 25, 2026

Uploaded by Aurora