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The following graph describes the progress of a rabbit and a squirrel on a 13 miles long racetrack. The rabbit and the squirrel started up at the same spot in the same time.
1. Who won the race?
The best answer is A.
We can see that the dotted line, which represents the rabbit, ended up first at the time 17:00 o’clock while the squirrel finished the track in 17:30.
Therefore the rabbit won the race.
2. How many times did the squirrel by-pass the rabbit? (Meaning that he was behind and then moved in front of the rabbit)
The best answer is B.
The only time where the squirrel by-passed the rabbit was around 10:30, after that the two met around 13:00 but afterwards the rabbit by-passed the squirrel to the finish line.
3. At a certain time and place, the squirrel decided to stop for a little snack, at what time did the squirrel stop?
The best answer is C.
Look at the graph, find the place where the line becomes horizontal for a while, meaning that the squirrel stopped. You can easily see that it happens around 12:00.
4. Which of the following has the highest speed?
The best answer is B.
The speed is actually the gradient of the lines, the more vertical, the higher the speed is. Calculate the speed for each of the points. Speed = Distance/Time
You can see that the top speed was at point B.
Another way is to look and see which line has the highest gradient.
5. If the squirrel started out one hour prior to his original time (at 7:00) and did the exact same course only in different times, what would be the distance between the rabbit and the squirrel at 15:00?
The best answer is B.
I you were to move the path of the squirrel one spot to the right, you’ll see that the squirrel passed 10 miles and not 9.5 as the original path.
The rabbit passed 11 miles until 15:00 and so the distance between them is 1 mile.
Timmy has a very nice and generous grandmother. Every month, she gave little Timmy candies and allowance. The following chart describes the distribution of grandmother’s gifts to Timmy for a period of 4 months.
The chart should be attached here.
1. What is the average amount of candies that Timmy got each month?
The best answer is D.
Familiar you’re self with the chart.
You can see that the right bars are those of candies, add them up and divide by the number of months. The sum of the candies is 600 and therefore the average is 150 candies per month.
2. What is the average amount of money that Timmy got each month?
The best answer is B.
Familiar you’re self with the chart.
You can see that the left bars are those of allowance in dollars, add them up and divide by the number of months. The sum of the money is 400 and therefore the average is 100 dollars per month.
3. On the first month that the number of candies increased relative to the previous month, what was the ratio between the candies and the money?
The best answer D.
You can easily see that on the first two months the number of candies stayed the same and on March it increased and thus the question is about March.
The ratio between the number of candies to the amount of money that month is 175:175 or 1:1.
4. On the month with the largest amount of money given to Timmy, what percent of the total are the candies?
The best answer is B.
The month with the biggest allowance is March. That month Timmy received 175 candies out of 350 in total, which is 50%.
5. How many strawberry candies did Timmy receive over the 4 months period?
The best answer is B.
We know that Timmy received 600 candies during the 4-month period (adding the bars). We also know that 40% of the candies during that period were strawberry candies and therefore 40% of 600 are 240 candies.
6. If up to March (inclusive), Timmy got 160 Tim-Tums’s candies, how much did he get on April?
The best answer is C.
During the 4 months period Timmy got 600 candies. 30% of those candies were Tim-Tums’s, which are 180 candies. If in the first three months he received 160 Tim-Tums’s then on the fourth month (April) he must have gotten 20.
7. If in the first two month Timmy received 120 Lollipops, how many did he receive in April?
The best answer is A.
During the 4 months period Timmy got 600 candies. 20% of those candies were Lollipops, which is 120 candies. By the data in the question we can conclude that he received all of his Lollipops in the first two month and therefore he received none on March and April. The answer must be zero candies.
8. How many Jelly Candies did Timmy receive during February?
The best answer is E.
We know that Timmy received (600 x 10% = 60) Jelly candies during the entire 4 months period but we don’t know how they divide among the months.
There isn’t enough data to determine the answer.
9. What percent are the Jelly candies out of the total amount of gifts that Timmy received during the entire period?
The best answer is B.
We know that Timmy received (600 x 10% = 60) Jelly candies during the entire 4 months period. Sum up the entire gifts, there are 600 candies and 400 dollars, 1000 altogether. 60 out of 1000 are 6%.
10. If Timmy didn’t receive any Lollipops on the last two months, how many Lollipops did he receive on January?
The best answer is E.
During the 4 months period Timmy got 600 candies. 20% of those candies were Lollipops, which is 120 candies. Therefore he received all of them during January and February, but we don’t know how many he received on January alone.
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