2. There are ( ) approximate numbers of 24, and decomposing 24 into prime factors is ( )
3. The largest true fraction with a unit of fraction 1/8 is ( ), and the smallest false fraction is ( ).
4. The numerator of a simplest fraction is the smallest prime number and the denominator is a composite number.
5. A rectangle whose length, width, and height are 5 decimeters, 3 decimeters, and 2 decimeters, respectively, is truncated into two smaller rectangles, and the sum of the surface areas of these two smaller rectangles is a maximum of (___) decimeters squared.
6. A rectangular frame is welded together with a 52-centimeter-long piece of wire. The frame is 6 centimeters long, 4 centimeters wide and ( ) centimeters high.
7. A = 2 x 3 x 5 and B = 3 x 5 x 5. The greatest common divisor of A and B is ( ) and the least common multiple is ( ).
8. The prism length of a square is enlarged by a factor of 3, its surface area is enlarged by a factor of ( ), and its volume is enlarged by a factor of ( ).
9. When comparing 4/9 with 5/11, ( ) has a larger fraction unit and ( ) has a larger fraction value.
10. The greatest common divisor of two numbers is 8 and the least common multiple is 48, where one number is 16 and the other is ( ).
Two , multiple choice questions (put the number of the correct answer in parentheses): 20%
1. In the following equation, the one that is a whole division is ( )
① 4 ÷ 8 = 0.5 ② 39 ÷ 3 = 13 ③ 5. 2 ÷ 2. 6 = 2
2. Among 2/3, 3/20 and 7/28, the number of fractions that can be reduced to finite decimals is ( )
2.
1) 3 ② 2 ③ 1
3. The product of two prime numbers multiplied together must be ( )
1) Odd ② Even ③ Combined
4 . A=5B (A and B are non-zero natural numbers) The following statements are incorrect ( )
1) The greatest common divisor of A and B is A ② The least common multiple of A and B is A
3) A is divisible by B. A contains an approximate number of 5
5. 10 grams of salt is added to 100 grams of water. 1/11
6. a>b, then 2/a and 2/b are compared ( )
① 2/a> 2/b ② 2/a < 2/b ③ can not compare the size of
7. The greatest common divisor of the two numbers is 12, and the number of common divisors of the two numbers is ( )
① 2 ② 4 ③ 6
8. A rectangle is cut off a small piece (as shown in the figure). The following statements are completely correct ( )
① Volume decreases, surface area decreases
② Volume decreases, surface area increases
③ Volume decreases, surface area stays the same
9. Rectangles of paper of equal sizes are used, each 12 centimeters long and 8 centimeters wide. The minimum number of such rectangles required to make a square is ( ).
① 4 sheets ② 6 sheets ③ 8 sheets
10. A rope of 6 meters long is cut off 1/2 and then 1/2 meter, then there is still ( ) left
① 5 meters ② 5/2 meters ③ 0 meters
Three calculation problems: 28%
1. Find the surface area and volume of the rectangle in decimetres4%
a=8 b =5 c=4
2. Calculate out of the equation (simplify if you can) 12%
6/7 + 2/15 + 1/7 + 13/15 19/21 + 5/7-3/14
2/3 + 5/9-2/3 + 5/9
8/9 -(1/4-1/9) - 3/4
3. Find the greatest common divisor and least common multiple of each of the following groups of numbers 4%
24 and 36
18, 24, and 40 (least common multiple only)
4. Word problems 6%
5
What is the sum of 5/9 and 7/18, minus 1/2?
What is a number that subtracts the difference between 7/15 and 7/30 and results in 2/3? (Solve with an equation.)
IV. Graphing Questions 4%
Please represent 1/2 by drawing shades (at least 5)
V. Application Questions: 30%
1. A plot of land of which 1/5 is planted with corn, 1/6 is planted with greens, and the rest is planted with watermelon. What fraction of the plot is planted with watermelon?
2. There are 24 boys and 20 girls in a class. What fraction of the number of girls is the number of boys?
3. Students take part in environmental action. The fifth grade removes 3/5 tons of garbage, which is 1/8 ton less than the sixth grade. How many tons of garbage were removed in grades 5 and 6***?
4. A rectangular iron plate 40 cm long and 30 cm wide is cut off at each of its four corners to make a square with a side length of 4 cm and welded into a box without a lid. What is its volume in liters?
5. A car, which travels 192 km in the first 3 hours*** and 58 km per hour in the second 2 hours, what is the average speed of the car in kilometers?
1. Lili and Jiajia went to the bookstore to buy a book, they liked a book at the same time, and finally Lili used three-fifths of her own money, and Jiajia used two-thirds of her own money to buy one book each, and Lili's leftover money was five dollars more than Jiajia's leftover money. How much money did each of the two people originally have? How much is the book?
2. A car uses 4/5 kilograms of gasoline for every 8 kilometers of travel, how many kilometers per kilogram of gasoline on average. How many kilograms of gasoline does it take to travel 1 kilometer?
3. A motorcycle travels 30 kilometers in 1/2 hour, how many kilometers does he travel per hour? How many hours does it take him to travel 1 kilometer ?
4. The reading room of the students, male students accounted for four-sevenths, from the reading room out of five male students, reading students, female students accounted for twenty-three-twelfths, the original reading room a **** how many students in the reading?
5. There are 62 red, yellow and blue balloons***, of which three-fifths of the red balloons are equal to two-thirds of the yellow balloons, and there are 24 blue balloons, how many of each are red and yellow balloons?
Answer:
Solve the following application problems using equations
1. The grain store brought in 30 bags of rice and 40 bags of flour, a *** is 2500 kg and rice is 50 kg per bag. How many kilograms of flour per bag?
2. An airplane travels 860 kilometers per hour, which is 20 kilometers more than six times as much as a train travels per hour. How many kilometers per hour does the train travel?
3. Two cars, A and B, are traveling at the same time from two places 480 kilometers apart, and they meet after 3.2 hours. Car B is known to travel 72 kilometers per hour, how many kilometers per hour car A
4. A and B two ships at the same time from Shanghai to Wuhan, ship A travel 24 kilometers per hour, after 8.5 hours ship A exceeded ship B 5 1 kilometers. How many kilometers per hour does ship B travel?
5. There are 126 cypress and poplar trees in the school, and the number of cypress trees is 6 times that of poplar trees. How many cypresses and poplars are there?
6. An air conditioner price of a TV set 3 times, the school bought an air conditioner and 4 TV sets a *** with 8,400 yuan. How much is an air conditioner and a TV set?
7. 8 baskets of apples than 8 baskets of pears weighs 40 kilograms, a basket of pears is known to weigh 20 kilograms, a basket of apples weighs how many kilograms?
8. repair a road of 1960 meters long, first repair 80 meters per day, repair 8 days later in order to complete as soon as possible, and later intended to repair 120 meters per day, how many days to finish?
9. This year, the father is 36 years older than Xiaofang, known that the father's age this year is four times the age of Xiaofang, the father and Xiaofang this year, how many years old is each?
10. A and B two cars at the same time from the distance of 420 kilometers to the two places relative to each other to drive, car A's speed is 1.5 times that of car B, after 2.4 hours to meet. How many kilometers per hour do car A and car B travel each way?
Fifth Grade Application Problems Practice (2)
Select the appropriate method to answer the following application problems
1. A cow weighs 850 kilograms, and an elephant weighs 500 kilograms more than five times as much as the cow. How many kilograms does the elephant weigh?
2. There are 1,260 fewer students in Sunbeam Elementary School than in Hong Yang Middle School, and it is known that there are 2.5 times as many students in Hong Yang Middle School as in Sunbeam Elementary School. How many students are there in Hongyang Middle School and Xinguang Elementary School?
3. Xiaolan and Xiaofang walk in opposite directions from a point on a circular track at the same time. Xiaolan walks 65 meters per minute, and Xiaofang walks 75 meters per minute, and they meet after 2.5 minutes. What is the total length of the track?
4. Arbor Day students planted 12 rows of poplar trees and 8 rows of fir trees, a *** is 300, fir trees have 15 trees per row, poplar trees have how many trees per row?
5. The perimeter of a rectangle is 64 centimeters, and it is known that the length is three times as long as the width, how many centimeters are the length and width of this rectangle?
6. A triangular piece of land, which has an area of 60 square meters, is known to have a base of 15 meters. How many meters is the height?
7. A clothing factory is to produce 6500 suits, and has been producing them for 15 days, with an average of 200 suits per day . How many days are left to produce 50 more suits per day for the rest?
8. A and B two cars at the same time from the distance of 665 kilometers between the two places relative to each other, car A average hourly line 82 kilometers, car B average hourly line 73 kilometers, after a few hours of the two cars are still 45 kilometers apart?
9. Pioneers to pick apples in the orchard, the morning picked 14 baskets, each basket contains 25 kg; afternoon picked 18 baskets, this day a **** picked 890 kg. How many kilograms of apples per basket were picked in the afternoon?
10. A pen and a ballpoint pen a *** is 8.3 yuan, a pen price than a ballpoint pen twice more than 0.8 yuan. How much is a fountain pen and a ballpoint pen each