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Find all values of for which the system of equations has one solution:{  \n2. Fully factorize: ( ) ( )  \n3. Solve:  \n1 | P a g e  \n4. 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.  \n5. 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?  \n6. Solve:  \n2 | P a g e  \n7. The area of a square is 25 . Find its perimeter.  \n8. 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.  \n9. ( )  \n3 | P a g e  \n10. 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.  \n11. 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?  \n12. 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.  \n4 | P a g e  \n13.  \n14. Find the range of the function: ( ) √~~ ~~  \n15. Find the sum of the first 10 prime numbers.  \n16. Find the circumference of a circle if the diameter is 4 .  \n17. The first week you collected , the second week , the third week and soon. How much money was collected in 13 weeks?  \n5 | P a g e  \n18. The function is equal to . Find a parallel function passing through the point ( ).  \n19. 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?  \n20. The mean of two numbers is 50 , and their ratio is equal to . Find both numbers.  \n21. The perimeter of the rectangle is 90 , and the length is half the width. Find the width.  \n6 | P a g e  \n22. Find the area of a parallelogram if the bases are 12 and they are tangent to acircle whose area is .  \n23. Find the perimeter of the shape if is a diameter of the semicircle.  \n7 | P a g e  \n24. Find the ratio ~~ ~~ if the area of the larger square is two times more than the area of the smaller square.  \n25. If find .  \n26. Find the value of , if the area of the trapezoid is 45 .  \n8 | P a g e  \n27. The side of a regular hexagon is 5 . It is inscribed in another hexagon  \n, whose side is 3 times larger. Find the area of the shaded part.  \n28. The straight line passes through the points ( ) and (4; -5 ). Find the coefficient .  \n9 | P a g e  \n29. 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 .  \n30. If an integer is divided by 4 , the result is ~~ ~~. What is the integer?  \n31. 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?  \n32. 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?  \n33. 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 distributed between the students.  \n10 | P a g e","cbCaiafsVophyiVE","https://ap.wps.com/l/cbCaiafsVophyiVE","pdf",558587,"English","# Exam Questions\n## Algebra and Equations\n## Geometry and Measurements\n## Functions and Graph-Related Problems\n## Rates, Mixtures, and Word Problems\n## Sequences, Counting, and Number Theory","[{\"question\":\"What topics are included in the WIUT real exam question set?\",\"answer\":\"The questions cover systems of equations, factorization, solving equations, function range problems, geometry (area/perimeter/circumference), and applied word problems such as speed, mixtures, and investment growth.\"},{\"question\":\"Are the exam questions mainly algebra or mainly geometry?\",\"answer\":\"Both are heavily represented. There are multiple algebra and equation-solving items alongside many geometry and measurement tasks.\"},{\"question\":\"How are function questions presented in this document?\",\"answer\":\"Function-related items ask for a parallel function through a point and for the range of a given function, including expressions involving square roots.\"}]","WIUT real exam questions - 6-May-2025 | PDF",25]