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Mathematics Preparing for Higher Math explained

A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day would one tractor plough then?

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Mathematics Preparing for Higher Math explained

A 5 liter mixture of water and sugar is 50% sugar. If 1 liter of water is added, approximately what is the % of the new mixture of sugar?

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Mathematics Preparing for Higher Math explained

Five dozen toys are packed in a box and 98 boxes are kept in a tempo. How many tempos can lift 29400 toys in one round ?

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Mathematics Preparing for Higher Math explained

6 pigs cost the same as 9 sheep. 27 sheep cost the same as 30 goats. 50 goats cost the same as 3 elephants. If two elephants cost $4800, then the cost of one pig in dollar is

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Mathematics Preparing for Higher Math explained

Every day a cyclist meets a train at a particular crossing. The road is straight before the crossing and both are travelling in the same direction. The cyclist travels with a speed of 10 kmph. One day the cyclist comes late by 25 min and meets the train 5km before the crossing. What is the speed of the train?

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Mathematics Preparing for Higher Math explained

You are buying pumpkins at a local farmer's market and are paying for the pumpkins by weight. Your container weighs 30 pounds. The pumpkins plus the container weighs 90 pounds. If you bought 10 pumpkins, how much was the average weight of your pumpkins?

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Mathematics Preparing for Higher Math explained

A loan was repaid in two annual instalments of Rs.112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was :

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Mathematics Preparing for Higher Math explained

A farmer is trying to grow the largest pumpkin for the county fair. He estimates that in one month he will grow his current largest pumpkin by 35 percent. A traveling salesman offers him a plant fertilizer that is guaranteed to help grow the pumpkin an additional 5 percent. If the salesman's product works, what is the total percentage increases the farmer will achieve with his pumpkin in one month.

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Mathematics Preparing for Higher Math explained

When I was 2 years old, my brother was half my age. Now I am 60 years old, how old is my brother?

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Mathematics Preparing for Higher Math explained

If an electricity bill is paid before due date, one gets a reduction of 4 % on the amount of the bill. By paying the bill before due date, a person got a reduction of 13 . The amount of his electricity bill was

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Mathematics Preparing for Higher Math explained

Two cars are travelling from the same starting point in the same direction, having started their commute at the same time. The first car travels at a steady rate of 55 mph, while the second travels at a steady rate of 52 mph. How much time will pass before the cars are 15 miles away from each other?

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Mathematics Preparing for Higher Math explained

During a 10-week period, a doughnut store conducted a promotion by giving away one free doughnut with every doughnut purchased. If the store sold and gave away a total of K doughnuts per week, and each doughnut was sold for $0.25, how many dollars worth of doughnuts did the store give away?

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Mathematics Preparing for Higher Math explained

What is the units digit of 9^3-7?

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Mathematics Preparing for Higher Math explained

Preston's Health Foods makes a mixed nut blend that contains 26% cashews. Simon, one of the workers at the plant, has 9 kilograms of nuts that are 30% cashews. He also has a large supply of mixed nuts that contain 22% cashews. How many kilograms of the 22% cashew mix does Simon need to add to the 30% cashew mix to obtain a mix that is 26% cashews?

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Mathematics Preparing for Higher Math explained

ASB is a quarter circle. PQRS is a rectangle with sides PQ = 8 and PS = 6. What is the length of the arc AQB ?

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Mathematics Preparing for Higher Math explained

The average (arithmetic mean) of the weight of 10 vehicles is 12.2 tons. The average weight of the group of vehicles increased by 2.6 tons after a new heavy duty truck was added to the group? What is the weight in tons of the heavy duty truck?

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Mathematics Preparing for Higher Math explained

A two digit number exceeds the sum of the digits of that number by 18. If the digit at the unit's place is double the digit in the ten's place, what is the number?

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Mathematics Preparing for Higher Math explained

A coin made of alloy of aluminum and silver measures 2 x 15 mm (it is 2 mm thick and its diameter is 15 mm). If the weight of the coin is 30 grams and the volume of aluminum in the alloy equals that of silver, what will be the weight of a coin measuring 1 x 30 mm made of pure aluminum if silver is twice as heavy as aluminum?

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Mathematics Preparing for Higher Math explained

Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is:

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Mathematics Preparing for Higher Math explained

A car travels at a speed of x kilometers per p hours. How many meters will it travel in s seconds, in terms of s, p and x. (xps ≠ 0; 1 kilometer = 1000 meters)?

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Mathematics Preparing for Higher Math explained

Alice wants to put up fencing around three sides of her rectangular yard and leave one side of 10 meters unfenced. If the yard has an area of 240 square meters, how many meters of fencing does she need?

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Mathematics Preparing for Higher Math explained

The prices of a scooter and a television set are in the ratio 3:2 . If a scooter costs Rs.6000 more than the television set, the price of the scooter is :

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Mathematics Preparing for Higher Math explained

A pen company produces very fine quality of writing pens. Company knows that on average 10% of the produced pens are always defective so are rejected before packing. Company promises to deliver 7200 pens to its wholesaler at Rs. 10 each. It estimates the overall profit on all the manufactured pens to be 25%. What is the manufactured cost of each pen?

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Mathematics Preparing for Higher Math explained

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years. What is definitely the difference between R and Q's age?

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Mathematics Preparing for Higher Math explained

A fisherman's day is rated as good if he catches 9 fishes, fair if he catches 7 fishes and poor if he catches 5 fishes. The fisherman catches 53 fishes in a week that includes good, fair and poor days. How many good days the fisherman had during the week?

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