1. The sum of two numbers is 25 and their difference is 13. Find the bigger number.
2. 3 less of 4 times a number is 25. Find the number.
3. Sum of two numbers is 90. If the bigger one is twice of the smaller one, find the
bigger number.
4. Sum of consecutive three odd numbers is 123. Find the smallest one.
5. Arda’s age is 3 less than 3 times her daughter’s age. If sum of their ages is 37, find
her daughters age.
6. Hamdi takes 30 minutes to carry the bags, Elif takes 70 minutes. How long would it
take if they work together?
7. A toy whose cost is 525 euro is sold after 20% discount. Find the sale price of the
toy.
8. Two cars with speeds 50km/h and 60km/h move towards each other from the cities
A and B. They meet after 6 hours. Find the distance between A and B?
9. In a shcool of 520 students, if there are 280 girls, then find the ratio of number of
boys to the number of girls.
10. A car travels 48 km with 4 liters of gasoline. How many liters of gasoline are needed
to drive 180 km?
11. a varies directly with b. a=8, when b=4. Then find the value of b when a=12.
12. If 6 workers fulfill a task in 14 days, then how many days does it take for 7 workers
to finish the work?
13. If 10 workers finish a work in 12 hours, then how long does the same work take for
15 workers.
14. The sum of two numbers is 96. The bigger number is twice as large as the smaller
number. Find the numbers.
15. The sum of two numbers is 126. The bigger number is ten more than three times the
smaller number. Find the numbers.
16. The sum of three consecutive integers is 132. Find the numbers.
17. The sum of four even consecutive integers is 140. Find the numbers.
18. The sum of four odd consecutive integers is 144. Find the numbers.
19. A mother is 42 years old and her daughter is 15 years old. In how many years will
the mother be twice as old as her daughter?
20. Ulan and his father are 15 and 40 years old, respectively. When will be his father’s
age twice of the Ulan’s age, how old will be his father?
21. Andis takes 6 hours to paint a wall, shend takes 12 hours. How long would it take if
they work together?
22. It takes Shend 10 hours to clean an attic. Andis can clean the same attic in 15 hours.
Find how long it would take them if they worked together.
23. Ryan can dig a hole in 24 hours. Hagi can dig the same hole in 8 hours. How long
would it take them if they worked together?
24. Sukur can paint a fence in 10 hours. Unsal can paint the same fence in 8 hours. If
they worked together how long would it take them?
25. A toy whose cost is 1200 cent is sold after 25% discount. Find the sale price of the
toy.
26. A machine whose cost is 140 euro is sold after 10% mark-up. Find the sale price of
the machine.
27. A toy whose cost is 160 euro is sold for 136 euro. What is the percentage of
discount?
28. A toy whose cost is 150 euro is sold for 162 euro. What is the percentage of markup?
29. Two cars drive same direction with the rates 120km/h and 100km/h.If faster reaches
to slower in 7 hours, find the distance between them?
30. The distance between two cars 420 km. If they drive opposite direction with the rates
respectively 60km/h and 80km/h.
31. A bus leaves a city travelling at a speed of 80 km/h. 2 hours later, a second bus
leaves from the same place, and drives along the same road at 90 km/h. How long
will it take for the second bus to catch up with the first bus?
32. Four people can prepair 60 dresses in one day. How many people can prepair 105
dresses in one day?
33. A machine produces 1250 pencils in five hours. How many pencils can the machine
produce in 12 hours?
34. Twelve men can repair a car in ten hours. How long would it take eight men to repair
the car?
35. If four men can do a job in 15 days, how many men can do the same job in five
days?
36. 12 workers can build 5 houses in 30 days. How long will it take 15 workers to build
ten houses?
37. 9 men can paint 72 walls in 8 days. How many walls can 8 men paint in 10 days?
38. If today is friday, what is the day after 261 days?
39. If today is thursday, what is the day after 723 days?
40. 3 15  23  x  mod 7 
41. 5 13  17  x  mod 6 
42. An operation  is defined on the set A = {0, 1, 2, 3, 4, 5} such that for x, y ∈ A,
x  y ≡ 2x + 4y (mod 6). A) 1  2 b) 5  (-7) c) 5  3
43.
5) (a  c)  d = ? , 6) (e  b)  b = ? , 7) (d  b)  (b  c) = ? , 8) (a  c)  (b 
e) = ?