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fff The difference between the obtuse angle and the larger one of the acute angles of a triangle is 20°. The difference between the acute angles is 41°. Find the angles.
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| fff Two integers are in the ratio 4 : 5. If each number is increased by 6, the new ratio becomes 2 : 3. Find the original numbers. fff |
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fff The sum of the three consecutive natural numbers lies between 48 and 63. Find the smallest and largest possible numbers.
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| fff Two angles in a triangle are equal and the third angle is 81o more than the two equal angles. Find the three angles. fff |
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| fff Tickets for cushioned seats in the main hall at the school play cost $8.00 each and the tickets for the benches in the gallery cost $4.00 for each seat. What is the least possible number of tickets of each type sold if the total receipts for 324 tickets amounted to more than 2296? fff |
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| fff Twice a number diminished by 3 is at least 36. Choose an equation or inequality as a mathematical model for the problem. fff |
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| fff The sum of two numbers is at most 50. The larger number is 4 more than the smaller. Find the maximum possible values for the numbers. fff |
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| fff Divide 289 into two parts such that seven times the greater part will be equal to 10 times the smaller one. fff |
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fff Two angles of a triangle are in the ratio 9 : 11 . If the measure of the third angle is the average of the two angles, find the angles.
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| fff 2 years ago, Lauren was twice Nathan's age. 2 years later, their ages will be in the ratio 4 : 3. Find their present ages. fff |
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| fff 6 years ago, Sam was twice as old as Mike. The sum of their present ages is 95. Choose an equation or an inequality to find their present ages. Let z represent present age of Sam in years. fff |
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| fff Choose an equation or inequality to find two consecutive integers whose product exceeds the square of the smaller integer by 3. fff |
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| fff The length of a rectangle is 6cm more than its width. If each side were increased by 6 cm the area would increase by 108 cm2. Choose an equation or inequality to find the dimensions of the original rectangle. Take c as the width of the rectangle in cm. fff |
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| fff The sum of two consecutive even numbers is less than 154. Choose an equation or inequality to find the maximum possible values of the numbers. fff |
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fff 8 times a number is equal to 3 times the number increased by 25. Choose an equation or inequality to find the number.
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| fff Write an equation or an inequality to find a number if it is the mean of 14, 16, 18 and the number itself. fff |
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| fff A square and a rectangle have the same perimeter. If the area of the square is 36 cm² and the length of the rectangle is thrice the width, find the dimensions of the square and the rectangle. fff |
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fff 6 times the width of a room exceeds the length by 8 ft. If the length and the width are each increased by 1 ft, then the area is increased by 119 ft², find the dimensions of the room.
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| fff The average age of a group of friends is 23 years. The ages of four of them is 29, 20, 19 and 25 each. Find the age of the fifth friend. fff |
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fff Laura's school holds a series of six tests and gives a merit certificate to all those who score an average of 130 points. She scored 112, 100, 125,179 and 130 points each in the first five tests. What must she score in the sixth test to receive a merit certificate?
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| fff Robert and Dick had some marbles each. If Robert gave 5 marbles to Dick, then Dick will have twice as many as Robert. Instead, if Dick gave 5 marbles to Robert, they will both have the same number of marbles. How many marbles did each have? fff |
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| fff The average age of a group of friends is 22 years. The ages of four of them is 20, 20, 17 and 25 each. Find the age of the fifth friend. fff |
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| fff A wire of length less than 106 ft is cut into two pieces. 1736th of the longer part equals the shorter part. Find the maximum possible lengths (integers) of each part. fff |
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fff 5 times the width of a room exceeds the length by 7 ft. If the length and the width are each increased by 1 ft, then the area is increased by 54 ft², find the dimensions of the room.
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fff The difference between the obtuse angle and the larger one of the acute angles of a triangle is 30°. The difference between the acute angles is 54°. Find the angles.
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| fff Twice a number diminished by 7 is at least 16. Choose an equation or inequality as a mathematical model for the problem. fff |
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| fff Write an equation or an inequality to find a number if it is the mean of 10, 12, 14 and the number itself. fff |
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fff The difference between two - thirds of a number and one - fourth of it is at most 50. Choose an equation or inequality as a mathematical model for the problem.
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| fff The circumference of a circle is 24 cm. Find its diameter. fff |
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| fff 24 years ago, Arthur was thrice as old as William. The sum of their present ages is 65. Choose an equation or an inequality to find their present ages. Let z represent present age of Arthur in years. fff |
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| fff Choose an equation or inequality to find two consecutive integers whose product exceeds the square of the smaller integer by 7. fff |
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| fff The length of a rectangle is 5cm more than its width. If each side were increased by 5 cm the area would increase by 90 cm2. Choose an equation or inequality to find the dimensions of the original rectangle. Take y as the width of the rectangle in cm. fff |
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| fff The sum of two consecutive even numbers is less than 146. Choose an equation or inequality to find the maximum possible values of the numbers. fff |
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fff 6 times a number is equal to 3 times the number increased by 12. Choose an equation or inequality to find the number.
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| fff The sum of two numbers is at most 90. The larger number is 16 more than the smaller. Find the maximum possible values for the numbers. fff |
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| ee Divide 121 into two parts such that three times the greater part will be equal to 8 times the smaller one. ee |
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ee Two angles of a triangle are in the ratio 3 : 5 . If the measure of the third angle is the average of the two angles, find the angles.
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| ee A square and a rectangle have the same perimeter. If the area of the square is 576 cm² and the length of the rectangle is thrice the width, find the dimensions of the square and the rectangle. ee |
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| ee A wire of length less than 58 ft is cut into two pieces. 920th of the longer part equals the shorter part. Find the maximum possible lengths (integers) of each part. ee |
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ee Emily's school holds a series of six tests and gives a merit certificate to all those who score an average of 110 points. She scored 112, 100, 125,79 and 130 points each in the first five tests. What must she score in the sixth test to receive a merit certificate?
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| ee Tickets for cushioned seats in the main hall at the school play cost $6.00 each and the tickets for the benches in the gallery cost $3.00 for each seat. What is the least possible number of tickets of each type sold if the total receipts for 310 tickets amounted to more than 1620? ee |
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ee The sum of the digits in a two digit number is 10. If the digits are reversed, then the value of the number is reduced by 36. Find the number.
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| ee Two integers are in the ratio 18 : 19. If each number is increased by 20, the new ratio becomes 16 : 17. Find the original numbers. ee |
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ee The sum of the three consecutive natural numbers lies between 120 and 135. Find the smallest and largest possible numbers.
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| ee 5 years ago, Katie was twice Matt's age. 5 years later, their ages will be in the ratio 7 : 6. Find their present ages. ee |
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| ee Two angles in a triangle are equal and the third angle is 42o more than the two equal angles. Find the three angles. ee |
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ee The numerator of a fraction is 2 less than the denominator. The sum of the numerator and denominator is 8. what is the fraction?
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| ee Two natural numbers differ by 25. The larger is greater than or equal to 5 times the smaller number decreased by 8. Find the greatest possible value of the smaller number. ee |
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| ee 600 people attended a charity show. Some of them donated $20, and some donated $10. The total collection was $7000. Find the number of people who donated $10. ee |
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ee Tony borrows $2000 from a bank for a period of 1 year. He finds that he has to repay $2120. Find the bank's rate of interest.
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ee Chang's average on five math tests is between 91 and 95. He scored equally in first and third tests; 5 fewer points in the second test , 11 points more than the second test in the fourth test and 90 in the 5th test. Which of the following are possible scores in the first four tests.
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| ee The circumference of a circle is 12 cm. Find its diameter. ee |
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