GKT101: General Knowledge for Teachers – Math

1. When five is added to three more than a certain number, the result is 19. What is the number?

3. When 18 is subtracted from six times a certain number, the result is − 42. What is the number?

5. A number plus itself, plus twice itself, plus 4 times itself, is equal to − 104. What is the number?

7. Eleven less than seven times a number is five more than six times the number. Find the number.

9. The sum of three consecutive integers is 108. What are the integers?

11. Find three consecutive integers such that the sum of the first, twice the second, and three times the third is − 76.

13. The sum of three consecutive odd integers is 189. What are the integers?

15. Find three consecutive odd integers such that the sum of the first, two times the second, and three times the third is 70.

17. Two angles of a triangle are the same size. The third angle is 12 degrees smaller than the first angle. Find the measure the angles.

19. The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of the angles.

21. The second angle of a triangle is twice as large as the first. The measure of the third angle is 20 degrees greater than the first. How large are the angles?

23. The second angle of a triangle is five times as large as the first. The measure of the third angle is 12 degrees greater than that of the first angle. How large are the angles?

25. The second angle of a triangle is four times the first and the third is 5 degrees more than twice the first. Find the measures of the angles.

27. The perimeter of a rectangle is 304 cm. The length is 40 cm longer than the width. Find the length and width.

29. The perimeter of a rectangle is 280 meters. The width is 26 meters less than the length. Find the length and width.

31. A mountain cabin on 1 acre of land costs S30,000. If the land cost 4 times as much as the cabin, what was the cost of each?

33. A bicycle and a bicycle helmet cost S240. How much did each cost, if the bicycle cost 5 times as much as the helmet?

35. If Mr. Brown and his son together had S220, and Mr. Brown had 10 times as much as his son, how much money had each?

37. Aaron had 7 times as many sheep as Beth, and both together had 608. How many sheep had each?

39. Jamal and Moshe began a business with a capital of S7500. If Jamal furnished half as much capital as Moshe, how much did each furnish?

41. A 6 ft board is cut into two pieces, one twice as long as the other. How long are the pieces?

43. An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft longer than the other. How long are the pieces?

45. The cost of a private pilot course is S1,275. The flight portion costs S625 more than the groung school portion. What is the cost of each?

Source: Tyler Wallace, http://www.wallace.ccfaculty.org/book/1.8%20Number%20and%20Geometry%20Practce.pdf
This work is licensed under a Creative Commons Attribution 3.0 License.