Signed Numbers Goal 4
MATH 070
Module 1Goal 1.11
WORD PROBLEMS
SIMPLE WORDPROBLEMS / RATES / AVERAGES / DIFFICULT WORDPROBLEMSThe weight of four lorries is 4.512 ton, 6.443 ton, 6.448 ton and 6.643 ton. What is the weight of the four lorries altogether?
Answer:4.512+6.443+6.448+6.643=24.046 ton / A lorry takes 5 hours to travel 295 km. What is the average speed of the lorry?
Answer:295/5=59 km/h / The weight of four lorries is 4.512 ton, 6.443 ton, 6.448 ton and 6.643 ton. What is the average weight of the lorries?
Answer:4.512+6.443+6.448+6.643=24.04624.046/4=6.0115 ton / The weight of four lorries loaded with tiles is 7.512 ton, 8.443 ton, 6.448 ton and 7.643 ton. Each empty lorry weighs 5.345 ton. What is the total weight of the tiles?
Answer:7.512+8.443+6.448+7.643=30.046 ton4 x 5.345 = 21.38 ton30.046-21.38 = 8.666 ton
A copper pipe is 8.87 m long. 2.3 m is cut off. How long is the rest of the pipe?
Answer:8.87-2.3=6.57 m / An empty water-tank is filled at a rate of 2 liters per second. How many liters will there be in the tank after 60 seconds?
Answer:2 x 60 = 120 seconds / A copper pipe is cut into three sections. The length of each section is 235 cm, 321 cm and 198 cm. What is the average length of a section?
Answer:235+321+198=754 cm754/3=251.3 cm / A copper pipe is 8.87 m long. 2.3 m, 1.2m and 2.6 m are cut off. How much is left of the pipe?
Answer:8.87-2.3-1.2-2.6=2.77 m
Each day Adam walks 3.2 km. How many kilometers does he walk in a week?
Answer:3.2 x 7 = 22.4 km / An empty water-tank is filled at a rate of 2 liters per second. How many liters will there be in the tank after 4 minutes?
Answer:4 min = 4 x 60 sec = 240 seconds2 x 240 = 480 liters / Adam runs the following distances:
Saturday 400 m
Sunday 550 m
Monday 450 m
Tuesday 400 m
Wednesday 200 m
Thursday 700 m
What is the average distance Adam runs per day?
Answer:400+550+450+400+200+700 = 2700 m2700/6 = 450 m / Leila owes AED 3450 on her credit card. She makes payments of AED 200, AED 1500 and AED 450. Interest of AED 69 is charged. How much does she still owe?
Answer:3450-200-1500-450+69 = AED 1369
A construction company buys 500 tiles for AED 2000. What is the cost of one tile?
Answer:2000/500 = Dh 4 / A water-tank can hold 6000 liters. The empty water-tank is filled at a rate of 2 liters per second. How many seconds will it take to fill the tank up completely?
Answer:6000/2 = 3000 seconds / In six months construction company X buys 750, 840, 640, 900, 1070 and 740 tiles.
Company Y buys 830, 760, 650, 850, 920 and 1260 tiles. Which company has the highest monthly average and how much is this monthly average?
Answer:X: 750 + 840 +640 + 900 + 1070 + 740 = 4940 tilesMonthly average of X: 4940/6 = 823.3Y: 830 + 760 + 650 + 850 + 920 + 1260 = 5270 tilesMonthly average of Y:878.3Company Y has the highest monthly averageThe monthly average of Y is 878.3 / Ben works from 8 am until 5 pm, five days per week. His lunch-break is one hour daily. How many hours does he work per week?
Answer:Ben works 9 - 1 = 8 hours per dayHe works 5 x 8 = 40 hours per week
George buys a TV for AED 1100. He pays a deposit of AED 400. How much does he still owe?
Answer:1100 - 400 = AED 700 / A water-tank can hold 18 000 liters. The empty water-tank is filled at a rate of 2 liters per second. How many hours and minutes will it take to fill the tank up completely?
Answer:18 000 / 2 = 9000 seconds9000 / 60 = 150 minutes150 / 60 = 2.5 hours2.5 hours = 2 hours and 30 minutes / The average price of six plants is AED 34. What is the total price of the plants?
Answer:6 x 34 = AED 204 / Brian puts AED 10 000 down on a new car. He pays AED 1600 a month for two years. What is the total cost of the car?
Answer:Two years is 2 x 12 = 24 months24 x 1600 = AED 3840038 400 + 10 000 = AED 48 400
Each day 8 ships unload their containers into a port. How many ships unload in 32 days?
Answer:8 x 32 = 256 ships / Adam takes 2.5 minutes to walk 200 m. What is his speed in m/min?
Answer:200 / 2.5 = 80 m/min / The average of three numbers is 7.4. Two of the numbers are 7.1 and 6.3. What is the other number?
Answer:3 x 7.4 = 22.222.2 - 7.1 - 6.3 = 8.8 m / Jeff buys a villa for AED 300 000. He makes a down payment of AED 100 000 and pays the balance in equal yearly payments for ten years. What is the amount of each yearly payment?
Answer:300 000 - 100 000 = AED 200 000200 000 / 10 = AED 20 000
A bank has 402 customers on Saturday, 312 on Sunday, 367 on Monday, 398 on Tuesday and 295 on Wednesday. How many customers does the bank have in these five days?
Answer:402 + 312 + 367 + 398 + 295 = 1774 customers / A lorry uses diesel at a rate of 6 liters per hour. How much diesel is used on a journey of 5 hours?
Answer:6 x 5 = 30 liters of diesel / The average width of three cars is 1.8 m. The average width of four other cars is 1.9 m. What is the average width of the seven cars to 2 d.p.?
Answer:3 x 1.8 = 5.4 m4 x 1.9 = 7.6 m5.4 + 7.6 = 13 m13 / 7 = 1.86 m / The total number of babies born in the world is 2.7 per second. How many babies are born in a year?
Answer:per minute: 2.7 x 60 = 162 babiesper hour: 162 x 60 = 9720 babiesper day: 9720 x 24 = 233 280per year: 233 280 x 365 = 85 147 200 babies
Claire was paid AED 1258 for working 37 hours. How much was she paid per hour?
Answer:1258 / 37 = AED 34 / Bethan is paid AED 45 per hour. She works 5 hours daily, 6 days per week. How much does she earn in a week?
Answer:per day: 45 x 5 = AED 225per week: 225 x 6 = AED 1350 / The average length of four sections of copper pipe is 2.7 m. Three sections of the pipe measure 2.3 m, 3.1 m and 2.8 m. What is the length of the other section?
Answer:Total length: 4 x 2.7 = 10.8 m10.8 - 2.3 - 3.1 - 2.8 = 2.6 m / Liz pays with two AED 500 notes. She has bought one dress for AED 232, two bracelets at AED 75 each and four books at AED 56 each. How much change does she get?
Answer:Liz pays with: 2 x 500 = AED 1000Liz must pay: 232 + 2 x 75 + 4 x 56 = AED 606Change: 1000 - 606 = AED 394
M070 FWC lv 1.11