WIUT real EXAM questions 06-05-2025 - Solutions 21-33

Aug 25, 2026

Uploaded by Patrick

Collection of WIUT real exam questions dated 06.05.2025, focusing on mathematics problem solving. The set includes algebraic equation solving and factoring, linear and functional relationships, geometry tasks involving perimeter, area, triangles, circles, semicircles, and polygons, as well as word problems on mixtures, rates, and investments. It also covers sequences and series, arithmetic reasoning, and number theory questions such as sums of prime numbers, coefficient determination, and constraints that lead to a single correct solution approach.

LanguageEnglish

CategoryExam

FormatPDF

Pages10

Reading Time25 min

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WIUT real EXAM questions 06.05.2025

Algebra, functions, and equations

Geometry and word problems

WIUT real EXAM questions 06.05.2025 1. Find all values of for which the system of equations has one solution:{ 2. Fully factorize: ( ) ( ) 3. Solve: 1 | P a g e 4. A car is passing 210 km in time, and at the same amount of time truck is passing 180 km . If the car's speed is more than the truck's speed, find both velocities. 5. There are two types of coffee. Type one costs 10 pounds per gallon, and type two costs 8 pounds per gallon. A person mixed ~~ ~~ of a gallon of type one with ~~ ~~ gallons of type two. How much will the mix cost per gallon? 6. Solve: 2 | P a g e 7. The area of a square is 25 . Find its perimeter. 8. In an isosceles triangle, one side is , and two other sides are . The perimeter of the triangle is 49 . Find one of two equal sides. 9. ( ) 3 | P a g e 10. If the world population is 7 billion people, and each year it increases by , find the world population after 10 years. The formula for this equation is ( ) , where is the world population now and represents the number of years. 11. How many gallons of milk containing butterfat must be mixed with 90 gallons of milk with butterfat to obtain a mixture of milk with butterfat? 12. There are two equilateral triangles. If the ratio of their areas is 4 , and the perimeter of the smaller one equals 12, find the side of the large triangle. 4 | P a g e 13. 14. Find the range of the function: ( ) √~~ ~~ 15. Find the sum of the first 10 prime numbers. 16. Find the circumference of a circle if the diameter is 4 . 17. The first week you collected , the second week , the third week and soon. How much money was collected in 13 weeks? 5 | P a g e 18. The function is equal to . Find a parallel function passing through the point ( ). 19. A girl 160 cm tall stands 360 cm from a lamppost at night. Her shadow from the light is 90 cm long. How high is the lamppost? 20. The mean of two numbers is 50 , and their ratio is equal to . Find both numbers. 21. The perimeter of the rectangle is 90 , and the length is half the width. Find the width. 23. Find the perimeter of the shape if is a diameter of the semicircle. 7 | P a g e 24. Find the ratio ~~ ~~ if the area of the larger square is two times more than the area of the smaller square. 25. If find 26. Find the value of , if the area of the trapezoid is 45 . 8 | P a g e 27. The side of a regular hexagon is 5 . It is inscribed in another hexagon , whose side is 3 times larger. Find the area of the shaded part. 28. The straight line Find the coefficient passes through the points ( ) and (4; -5 ).. 9 | P a g e 29. Find the number of rows in the hall if the first row has 12 seats and each subsequent row has 4 more seats than the row in front. The total number of seats is 300 . 30. If an integer is divided by 4 , the result is ~~ ~~. What is the integer? 31. A car was driving in a fog for 3 hours; it then increased its speed by and drove at this speed for 6 hours. Overall, the car drove 540 km . What was the speed in the fog? 32. A man invested in a company with a increase each year and invested twice the same amount in another company with a increase each year. The total profit was . How much did he invest in each company? 33. There are 20 students in a competition and three medals: gold, silver, and bronze. Find the number of possible variations of how the medals can be 10 | P a g e

FAQs

Which types of math topics are included in the WIUT real EXAM questions dated 06.05.2025?

The questions cover algebraic equations and factoring, functional relationships and parallel lines, geometry (perimeter, area, triangles, circles, semicircles, polygons), and application word problems involving mixtures and rates.

How are mixture and pricing problems typically structured in this set?

They describe two types or sources with different quantities and costs (or concentrations), then ask for the resulting per-unit cost or mixture properties, requiring an equation based on total amount and weighted averaging.

What geometry concepts appear in the questions?

Common concepts include perimeter and area of squares and rectangles, properties of isosceles and equilateral triangles, circumference of circles, semicircle perimeter, and inscribed polygons with shaded-area calculations.

Aug 25, 2026

Uploaded by Patrick