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This is a demo for contest for 7th grade but the questions are not necessarily suitable for you. Your practice questions after login will be specially tailored for you as the system learns from your feedback!
[1] Some roses are put into vases. If each vase holds 5 roses, 5 roses are left. If each vase holds 6 roses, 7 more roses are needed. How many roses are there? Please give your answer: | [2] The students lined up in rows to do some exercises. If 24 students are in each row, 4 students are left; if 20 students are in each row, 4 students are left; if 27 students are in each row, there are still 4 students left. At least how many students are there? Please give your answer: | [3] There are 4 cards with numbers 7, 7, 8, and 9 on them. These 4 cards were put in a box. You are asked to randomly pick up two cards each time to form a two-digit number. How many different two-digit numbers can you form? Please give your answer: | [4] Find the sum of all digits in the first 84 natural numbers: 1, 2, 3, 4, ..., 82, 83, and 84. Please give your answer: | [5] Richard walked at 35 meters per minute, Ed walked at 37 meters per minute, and Ben walked at 45 meters per minute. Richard and Ed started out from place B together, and Ben started out from place A (behind B) at the same time in same direction as Richard and Ed. Some time later, he caught up with Richard, and then 4 more minutes later, he caught up with Ed. Find the distance (in meters) between place A and place B. Please give your answer: | [6] There are a total of 34 ducks and rabbits, with a total of 102 feet. How many ducks are there? . How many rabbits are there? . | [7] There are 4 cards with numbers 0, 2, 3, and 4 on them. These 4 cards were put in a box. You are asked to form a three-digit number by: a) Randomly pick up a card. If the card has number 0, then put it back and re-pick one until the number on the card is not zero. Write down the number as the 1st digit and put the card back in the box; b) Randomly pick up the 2nd card. Write down the number as the 2nd digit and put the card back in the box. c) Randomly pick up the 3rd card. Write down the number as the 3rd digit and put the card back in the box. If you keep doing this, how many different three-digit numbers can you form? Please give your answer: | [8] The distance between place A and place B is 30 miles, and the two locations are connected by a hilly road. One part of the road is uphill, the remaining part is downhill. It took Josh 4.8 hours to bicycle from place A to place B. When he went back from place B to place A on the same road, it took him 3.2 hours. Assume that he kept one speed for uphill ride and another speed for downhill ride. If the speed for the uphill ride was 6 mph, what was the speed of the downhill ride(in mph)? Please give your answer: | [9] A turtle and a rabbit were running a 3000 meter race. The speed of the rabbit was 5 times of the speed of the turtle. During the race, the rabbit stopped and took a nap. When he woke up, the turtle was ahead of him. He started to catch up with the turtle with the same speed as before. However when the turtle got the destination, the rabbit still had 1400 meters more to go. How many meters did the turtle run during the time the rabbit was taking a nap? Please give your answer: | [10] From the natural numbers 1 to 85, pick any two numbers whose sum is less than 86. How many ways are there to pick? Please give your answer: |
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