General Educational Development Mathematical Reasoning

1.A night clerk bundles timecards in groups of 25. There are 8 full bundles and no extras. How many timecards is that?

2.A painter has 3/4 of a gallon of porch paint and uses 2/5 of that amount on the steps. What fraction of a gallon is used on the steps?

3.A cook starts with 4.60 kg of rice and scoops out 1.75 kg for a community meal. How many kilograms remain?

4.A hall owns 80 folding chairs. 15 percent of them have torn seats and are set aside. How many chairs are set aside?

5.Bolts and nuts are packed in the ratio 7 to 2. A bin holds 36 fasteners in that ratio. How many are bolts?

6.A plumber charges a $40 visit fee plus $25 per hour. The bill is $140 and there is no tax. How many hours were billed?

7.A rectangular patio is 12 feet long and 9 feet wide. What is its area?

8.A shipping crate is a rectangular prism 8 feet long, 5 feet wide, and 4 feet high. What is its volume?

9.Four toolboxes weigh 12, 15, 18, and 11 pounds. What is the mean weight?

10.A bar graph of library visits shows Monday 12, Tuesday 9, Wednesday 15, and Thursday 6. How many more visits were there on Wednesday than on Thursday?

11.A delivery fee is $3 plus $4 for each box. A stop has 5 boxes. Which amount is the fee?

12.At dawn the loading dock thermometer reads -8 degrees Fahrenheit. By noon it has risen 15 degrees. What is the noon temperature?

13.A volunteer has 100 flyers and makes stacks of 12. How many flyers are left over after as many full stacks as possible?

14.A rice recipe uses 2 cups of water for every 3 cups of rice. How many cups of water are needed for 12 cups of rice?

15.On a road map, 1 inch represents 5 miles. The drive from the warehouse to the clinic measures 3 1/2 inches. How many miles is that drive?

16.A work jacket is priced at $40.00. It is discounted 25 percent, and then a 10 percent sales tax is added to the discounted price. What is the final cost?

17.A triangular banner has a base of 10 feet and a height of 6 feet. What is its area?

18.A cylindrical planter has radius 3 feet and height 4 feet. Using π, what is the volume?

19.Three quiz scores are 78, 84, and 90. A fourth quiz will make the mean of all four scores equal 84. What score is needed on the fourth quiz?

20.A line graph of crates shipped shows week 1 at 20, week 2 at 28, and week 3 at 22. By how many crates did shipments rise from week 1 to week 2?

21.A delivery van travels 168 miles on 6 gallons of fuel. What is the unit rate in miles per gallon?

22.18 apprentices are 30 percent of the crew. How many people are in the whole crew?

23.A phone plan costs $30 plus $5 for each gigabyte over the limit. The bill is $55, with no tax. How many gigabytes over the limit were used?

24.An L-shaped workroom is made of a 10-foot by 6-foot rectangle joined to a 4-foot by 3-foot rectangle, with no overlap. What is the total floor area?

25.A rectangular fish tank is 6 feet long, 3 feet wide, and 2 feet deep. What is its volume?

26.A monthly transit pass costs $80. The price will rise by 15 percent. What will the new price be?

27.A caretaker planned to spend 5/6 of an hour on a hallway and has already worked 1/2 of an hour. What fraction of an hour is left?

28.Bulk nails cost $0.75 per ounce. A maintenance worker buys 12 ounces. What is the cost before tax?

29.A stack of copy paper had 64 reams. The office used 25 percent of them. How many reams are left?

30.Solve for x: 4x + 3 = 2x + 15.

31.A circular rug has a radius of 6 feet. Using π, what is the area of the rug?

32.A storage cube has edges of 5 feet each. What is its volume?

33.A part-time clerk worked 6, 7, 5, 8, and 4 hours on five days. What is the mean number of hours per day?

34.A bar graph of how 40 staff members commute shows bus 14, walk 9, bike 11, and car 6. Which commute method is used by the most staff?

35.Six coworkers split a $84.00 supply receipt equally, with no tax added afterward. How much does each person pay?

36.Each loaf uses 2 1/2 cups of flour. A baker makes 4 loaves. How many cups of flour are used?

37.A courier drives at a steady 45 miles per hour for 3 hours. How far does the courier drive?

38.On a scale drawing, 1 centimeter represents 9 meters. A loading dock is 4 centimeters long on the drawing. What is the actual length?

39.Solve for x: 2(x − 4) = 18.

40.A parallelogram sign has a base of 11 inches and a height of 7 inches. What is its area?

41.Two crates are shipped together. One is 2 feet by 3 feet by 4 feet. The other is 5 feet by 2 feet by 2 feet. What is their combined volume?

42.A bar graph shows tickets sold: Friday 8, Saturday 12, Sunday 10, and Monday 14. What is the mean number of tickets sold per day?

43.A $48 tip is split between a lead and a helper in the ratio 3 to 1. How much does the lead receive?

44.One shuttle leaves the depot every 12 minutes. Another leaves every 18 minutes. They leave together at noon. In how many minutes will they next leave together?

45.A soup pot holds 3/2 cups of broth. A serving is 1/4 cup. How many servings are in the pot?

46.A shop buys a lamp for $50 and marks the price up by 40 percent of that cost. What is the selling price before tax?

47.Solve for x: 5x − 7 = 18.

48.A rectangular sandbox is 9 feet long, 4 feet wide, and 2 feet deep. How many cubic feet of sand fill it to the top?

49.A table of packages scanned shows 27 in the morning row and 35 in the afternoon row. How many packages were scanned in both rows together?

50.A floor cleaner is mixed as 1 part soap to 5 parts water. A bucket holds 18 liters of the mixture. How many liters are soap?

51.A petty-cash box holds $50.25. A clerk spends $18.75 on stamps. How much money remains?

52.Overtime is paid at 1 1/2 times the regular hourly rate. The regular rate is $18.00. How much is earned for 6 overtime hours, before tax?

53.A number increased by 9 equals 4 times the number. What is the number?

54.A bar graph of voters at two practice-registration tables shows North table 46 and South table 31. How many more people used the North table?

55.A community garden sets out 96 tomato starts with 8 starts in each row. How many rows are used?

56.A volunteer mixes 1/3 cup of orange juice with 1/4 cup of pineapple juice. How many cups of juice are in the mix?

57.Floor tiles for a laundry closet cost $2.40 each. A custodian buys 15 tiles. What is the cost before tax?

58.A community theater holds 250 seats. Eight percent of the seats are given away as comps. How many seats are comps?

59.Fiction and nonfiction books are shelved in the ratio 4 to 5. A cart has 45 books in that ratio. How many are nonfiction?

60.Solve for x: x/3 + 4 = 10.

61.A trapezoidal desk insert has bases of 6 inches and 10 inches and a height of 4 inches. What is its area?

62.A storage room is 15 feet long, 8 feet wide, and 9 feet high. What is the volume of the room?

63.Five morning temperatures, in degrees Fahrenheit, are 61, 64, 70, 73, and 62. What is the mean temperature?

64.A bar graph of lunches served shows Monday 22, Tuesday 18, and Wednesday 25. How many lunches were served over those three days?

65.A small repair account shows $120 owed. The customer pays $45. How much is still owed?

66.A shelf holds 20 boxes. A clerk removes 3 groups of 4 boxes. How many boxes stay on the shelf?

67.Printer paper is priced at $1.50 a ream at a neighborhood shop. An office buys 8 reams. What is the cost before tax?

68.A pad has 90 forms. Staff use 20 percent of them during a clinic. How many forms remain?

69.On a work roster of 48 people, 12 arrive late. What percent of the roster arrives late?

70.A fence order is 3 rails for each section plus 2 spare rails. The order is 20 rails. How many sections is that?

71.A 20-foot by 8-foot deck has a 4-foot by 3-foot stair opening cut out of it. What is the remaining deck area?

72.A cylindrical water cooler has a radius of 5 inches and a height of 2 inches. This is a model, not a full cooler. Using π, what is the volume of the model?

73.Four attendance counts are 8, 9, 7, and 12. A fifth count will make the mean of the five counts equal 10. What must the fifth count be?

74.A line graph of bus riders shows 42 riders at the early stop and 27 at the late stop. How many fewer riders are at the late stop?

75.A driver covers 120 miles in 2 1/2 hours at a steady speed. What is the speed in miles per hour?

76.Apples cost $4 for 5 pounds at a market stall. At the same rate, what is the cost of 15 pounds?

77.Solve for x: 8 + 3x = 35.

78.A triangular sail has a base of 14 feet and a height of 8 feet. What is its area?

79.A recycling bin is a cube with edges of 4 feet. What is its volume?

80.A trainee scores 80 on a safety quiz and 100 on a tool quiz. What is the mean of the two scores?

81.A workshop table shows 54 locks inspected and 47 locks that passed. How many inspected locks did not pass?

82.A concrete mix uses sand, gravel, and cement in the ratio 2 to 3 to 1. A wheelbarrow holds 24 liters of the mix. How many liters are gravel?

83.A worker sets aside 2/5 of a $40 cash bonus for bus fare. How many dollars are set aside?

84.A clerk has a 9.6-meter ribbon and cuts it into 0.8-meter pieces with no waste. How many pieces are there?

85.A night crew has 40 workers. The crew grows by 10 percent. How many workers are on the crew after the growth?

86.Solve for x: x/4 − 1 = 5.

87.A circular window has a radius of 10 inches. Using π, what is the area of the glass?

88.A rectangular practice pool is 20 meters long, 10 meters wide, and 2 meters deep. What is its volume?

89.A tally shows three shifts of 5 deliveries and one shift of 9 deliveries. What is the mean number of deliveries per shift?

90.A line graph of hours studied and pages read is flat between two plotted points: at 2 hours the graph shows 6 pages, and at 5 hours it also shows 6 pages. How many pages does the graph show at 5 hours?

91.Two neighbors split a $64 painting job in proportion to hours worked. One worked 2 hours and the other worked 6 hours. How much does the person who worked 6 hours receive?

92.Bus A stops at a corner every 8 minutes. Bus B stops there every 12 minutes. They stop together at 9:00. After how many minutes do they next stop together?

93.A bottle holds 5/4 cups of lamp oil. Each refill uses 1/8 cup. How many refills does the bottle contain?

94.A person deposits $200 in an account that pays 5 percent simple interest for one year. How much interest is earned in that year?

95.Sam's age plus 6 equals twice the age Sam was 4 years ago. How old is Sam now?

96.A wooden crate is a cube with edges of 3 feet. What is the surface area of the crate?

97.A bar graph of people at a park gate shows 33 adults and 19 teens. How many people do those two bars represent together?

98.A household ledger shows a balance of −$30. A deposit of $12 is recorded and nothing else changes. What is the new balance?

99.A shop receives 200 mugs. Ten percent are chipped and set aside. Half of the remaining mugs are shipped the same day. How many mugs are shipped that day?

100.A muffin recipe uses 2 eggs to make 12 muffins. How many eggs are needed to make 36 muffins at the same rate?

101.Quote A is $20 plus $2 per hour. Quote B is $8 plus $4 per hour. For how many hours are the two quotes equal?

102.A corner garden is a quarter circle with radius 4 meters. Using π, what is the area of the garden?

103.A rectangular carton has a volume of 120 cubic inches, a length of 6 inches, and a width of 4 inches. What is its height?

104.A line graph of miles walked shows 3, 5, 4, 6, and 7 for five days. What is the mean number of miles per day?

105.One lamp priced at $30 is discounted 10 percent. Another priced at $50 is discounted 20 percent. What is the combined savings on the two lamps?

106.A 3/4-yard piece of rope is cut into 1/8-yard ties with no rope left over. How many ties are made?

107.A household pays a $24.00 restaurant bill and leaves a 15 percent tip. What is the total paid, including the tip?

108.A crew lead computes a supply count as (12 + 8) × 3 − 10. What is the value of that expression?