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Mathematics Preparing for Higher Math explained

Alex has enough money to buy 30 bricks. If the bricks each cost 20 cents less, Grace could buy 10 more bricks. How much money does Grace have to spend on bricks?

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Mathematics Preparing for Higher Math explained

The sum of k consecutive integers is 51. If the least integer is -50, then k =

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Mathematics Preparing for Higher Math explained

ABC company pays an average of $120 per vehicle each month in outdoor parking fees for three of its eight vehicles. The company pays garage parking fees for the remaining five vehicles. If ABC pays an average of $240 per vehicle overall each month for parking, how much does ABC pay per month in garage parking fees for its vehicles?

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Mathematics Preparing for Higher Math explained

The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cubic meters. Find the breadth of the wall.

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Mathematics Preparing for Higher Math explained

If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2 centimeters, then the length of the rectangle, in centimeters, is

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Mathematics Preparing for Higher Math explained

A man wants to eat fruit for breakfast and vegetable for dinner. He has 6 different types of fruit and 8 different types of vegetables. He can only eat one type at a time. In how many ways can he eat breakfast and dinner.

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Mathematics Preparing for Higher Math explained

A sink contains exactly 11 liters of water. If water is drained from the sink until it holds exactly 5 liters of water less than the quantity drained away, how many liters of water were drained away?

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Mathematics Preparing for Higher Math explained

In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?

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Mathematics Preparing for Higher Math explained

The cross-section of a canal is shaped like a trapezium. If the canal is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 square meters, the depth of cannel is?

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Mathematics Preparing for Higher Math explained

There are two friends A and B. A starts with his car at the speed 40 kmph. B starts one hour later from the same place, in the same direction on his bike at the speed of 50 kmph. After how many hours will they meet ?

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Mathematics Preparing for Higher Math explained

There are ten lime soda bottles on a table in a restaurant. They are to be served among two different groups of customers consisting of 5 members each. How many ways are there to create these 2 groups?

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Mathematics Preparing for Higher Math explained

Alex and Jacob works at a toy shop that make toys. Alex takes 7 hours to make a toy, and Jacob takes 9 hours to make a toy. During a month, both of them makes 35 toys in total. If both of them have worked for almost similar number of hours how many toys have been prepared by Jacob?

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Mathematics Preparing for Higher Math explained

How many hand shakes will be there, if 8 people shake hands with every other person in the room?

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Mathematics Preparing for Higher Math explained

I have an amazing bath tub having both hot and cold water taps.

The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approximately 4 hours.

I turned them on simultaneously but forgot to close the lid which removes the water out of tub.

The lid can empty the tub in exact 13 hours.

Since both taps are open along with the lib, can you estimate the time needed to fill the bath tub?

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Mathematics Preparing for Higher Math explained

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 12 pieces. He cut at the rate of 40 cuts a minute. How many rolls would be cut in 30 minutes ?

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Mathematics Preparing for Higher Math explained

Mark told John "If you give me half your money I will have Rs.75. John said, "if you give me one third of your money, I will have Rs.75/-. How much money did John have ?

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Mathematics Preparing for Higher Math explained

The value of log2 4 is:

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Mathematics Preparing for Higher Math explained

900 + 5 × 12 = ?

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Mathematics Preparing for Higher Math explained

A rectangular parking space is marked out by painting three of its sides. If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

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Mathematics Preparing for Higher Math explained

Peter piper picked a pack of pickled peppers according to the function Y=(1/X)*X^3-7. If X=3 how many pickled peppers did he pick?

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Mathematics Preparing for Higher Math explained

After measuring 200 meters of a rope. It was discovered that the measuring meter rod was three centimeters longer. The true length of the rope measured is

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Mathematics Preparing for Higher Math explained

A wire is cut into three equal parts. The resulting segments are then cut into 6, 8, and 10 equal parts, respectively. If each of the resulting segments has an integer length, what is the minimum length of the wire?

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Mathematics Preparing for Higher Math explained

Machine A puts out a yo-yo every 6 minutes. Machine B puts out a yo-yo every 9 minutes. After how many minutes will they have produced 10 yo-yos?

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Mathematics Preparing for Higher Math explained

By himself, Jack can clean a yacht in 12 hours. On a particular day, he happens to finish two-thirds of the work. The remaining portion of the work is done by Jill, whose rate of cleaning is just 5% of what Jack can do. How long does it take Jill to finish the remaining work?

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Mathematics Preparing for Higher Math explained

Sharon works for 5 hours to earn enough tips to buy an ice cream cake, while Karen works for 4. After how many hours will they be able to buy the cake together?

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