WIUT Pro Mock test #1 - Exam practice

Aug 25, 2026

Uploaded by Noah

WIUT Pro Mock test #1 is a timed, no-cheats practice assessment designed to train step-by-step solution discipline and sustained focus. The rules require a strict 90-minute timer, prohibit notes, calculators, and external help, and instruct careful review only after completion. The questions cover a mix of trigonometric equations, graphing (domain, range, monotonic intervals, asymptotes), geometry with a cylinder and intersecting plane area, robotics/production rate word problems, quadratic analysis and area computation, logarithmic inequality solving, interest calculations, and multistep probability for draws without replacement.

LanguageEnglish

CategoryExam

FormatPDF

Pages5

Reading Time13 min

AccessFree to download

Instructions

Test rules

Tips for performance

Practice Questions

Trigonometric equation

Graphing and asymptotes

Cylinder and intersecting plane

Robots production word problem

Quadratic curve and area

Logarithmic inequality

Compound vs simple interest

Probability with colored balls

Z WIUT Pro Mock test ℹ️ RULES: 1. Explain every step of your solution. 2. Set a timer for 90 minutes. Follow the timer; stop writing when the timer ends. 3. Do not use any additional notes / cheat sheets / Google / calculator. 4. Check your work only after the test. 5. Give your 100% focus to the mock test while solving it. 6. Do not rush to checking. TIPS: 1. Do not stick to one problem. Move to the next one if it’s taking you too much time, as you can find a problem which is less timeconsuming. 2. Control your emotions. If you are struggling do not start to worry about it, since you can gain that score with 9 more problems. 3. Do not get too confident, and do not lose your hope. Find the golden standard of your emotions. a. If you are too confident, you may start losing your focus on little details. b. Hope dies last; Do your best and get as many points as you can get. 4. Good luck! 1. Solve sin 4􀝔 + sin2 2􀝔 = 0. 2. Find AB: 3. 􀝕 = 􀯫~~ ~~3~~ ~~+2 Draw a graph of the function. Find: domain; range; increasing points; asymptote. Mark everything in the graph. 4. A cylinder has a diameter of 10 units and a volume of 250π cubic units. A vertical plane intersects the cylinder parallel to its center axis at a distance of 3 units from the center. Find the area of the plane that is inside the cylinder. Draw the cylinder. 5. A factory has 20 robots that were initially assembling 1000 products in 5 hours. After an upgrade the speed of each robot increased by 50 percent and 10 more robots were added to the factory. Calculate the total number of products the robots are now producing in 5 hours. Calculate the total number of products produced in a month if the robots work 9 hours a day for 30 days. 6. The curve C has equation y = x 2 – 5x + 4. It cuts the x-axis at the points L and M as shown in the diagram above. (a) Find the coordinates of the point L and the point M. (b) Find the exact value of the area of R. 7. Solve the following logarithmic inequality for x: 8. John invested a total of $10,000 in two different accounts. The first account offers an annual interest rate of 5% compounded annually, and the second account offers an annual interest rate of 7% with simple interest. At the end of 1 year, the total amount in both accounts combined is $10,635. How much money did John invest in each account? 9. 10. A box contains 5 red balls, 4 blue balls, and 3 green balls. Three balls are drawn one after the other without replacement. Calculate: (a) the probability that the first ball drawn is red. (b) Given that the first ball drawn is red, the probability that the second ball drawn is blue. (c) The overall probability that the first ball is red, the second ball is blue, and the third ball is green?

FAQs

What are the main rules for completing the WIUT Pro mock test #1?

The test must be completed with a 90-minute timer, without additional notes, cheat sheets, Google, or a calculator. Work can be checked only after finishing.

What strategy tips are given to handle time-consuming questions?

Move to the next problem if one is taking too long, control emotions to avoid panic, and avoid excessive confidence that may reduce attention to details.

What types of questions are included in the mock test?

It includes trigonometric and logarithmic problems, graph-based tasks such as domain/range and asymptotes, geometry involving a cylinder and intersecting plane area, word problems on production rates and interest, and multi-step probability with balls drawn without replacement.

Aug 25, 2026

Uploaded by Noah