Mathematics learning in primary schools has always been a weakness of some children. Xiaoyou suggested that parents can find some typical test papers for their children to do. Doing problems can best reflect the real learning situation of children, and then according to the situation of children doing problems, it is convenient to find out the weak points of children's knowledge and do targeted exercises.
This issue of Xiaoyou provides you with a set of math test papers for grades 4-6. The questions in it are all classic easy-to-test and easy-to-mistake questions. Students can take it seriously and how many points they can get in the exam. At the end of the article, I sorted out the reference answers for you.
Grade?Four
Fill in the blanks
1, and the two adjacent numbers with the smallest eight digits are (? ) and (? )。
2. 10 eggs weigh 50 grams, and 1 10,000 eggs weigh about (? ) tons.
3. Enclose a rectangle and a square with two lines of equal length. ) the area is very large.
4. 100 sheets of paper 1 cm thick, 1 100 million sheets of paper (? ) kilometers
5. Write the approximate values of the following figures in "ten thousand":
945000≈( ? ) 305 100≈ (? ) ten thousand
996043≈( ? ) ten thousand
6. Write the approximate values of the following figures in "hundreds of millions":
420000000≈( ? ) one billion? 650000000≈( ? ) billion
6990000000≈( ? ) billion
7. Write the number in □
□□□÷27=7......6 ? 298÷□□=9...... 1
□□□÷35=8......3 197÷□□=5......2
8. Combine each of the following formulas into a comprehensive formula.
73+27= 100 ? 100÷25=4
( ? )
52-36= 16 ? 45x 16=720
( ? )
9. Write the following numbers with 5 3s and 3 0s as needed.
(1) Don't read a "zero";
(2) only one "zero" is read;
(3) reading two zeros;
(4) read three zeros.
10, □ What is the maximum number (fill in whole numbers)?
□÷35 & lt； 8□÷27 & lt； five
1 1, each column is a group, and the 32nd group is (? )
12, fill in the appropriate operation symbols.
4○5○6=26 ? 4○5○6= 14 ? 4○5○6=34
13, from 1 to 50, the number 0 to * * * is written (? ), written by the number 2 * * * (? ) one.
14, the mantissa of a * * * number after omitting the "billion" bit is about 800 million, and the maximum number of this number is (? ), the lowest is (? ), they are different (? )。
15, find a rule to fill in the numbers.
( 1)30600、32600、34600、( ? )、( ? )
(2) 100000、99900、99800、( ? )、( ? )
16, put two squares with a side length of 5 cm into a * * * rectangle, and the circumference of the rectangle is (? ) cm, with an area of (? ) square centimeters.
17. If there is a number, the number to the left of one million digits, the number to the right of one hundred digits and the number to the left are all "8", and all other digits are "0", then this number is (? ) Numbers, write (? ), pronunciation (? ), this number is rounded to ten thousand places, which is (? )。
18, count (? ) angle
19, Wan Li Great Wall 6700 (? )。
20, 100 paper is about 1 cm thick, so 1 100 million paper is about (? ) kilometers.
2 1, Cixi population 1 10,000, is a (? ) number. (a. approximate? Cixi has the largest population, and it is likely that (? ) people, at least possible (? ) people.
22. Starting from one point, you can draw (? ) rays, in which every two rays can form a (? )。
23, the size of the Angle with (? ) has nothing to do with (? ) related.
24. The number of A is five times that of B, so the quotient of A divided by B is (? ), if the number b is reduced by 3 times, to keep the quotient unchanged, the number a should be (? )。
25. Write the following numbers according to 1260÷45=28.
630÷45= ? 45x28=？ 2520÷90=
At 26 o'clock and 3 o'clock, the hour hand and the minute hand are called (? ) angle, the angle is (? ) 。 At 9: 30, the minute hand is called (? ) angle, the angle is (? ) 。
27, a pot can put three cakes, each cake fried on both sides, each side needs 2 minutes, at least five cakes fried (? ) minutes.
28, a pot can put three cakes, each cake is fried on both sides, and it takes 2 minutes to fry one, at least 5 cakes (? ) minutes.
29. Can you draw between two parallel lines? ) vertical lines, these vertical lines are mutual (? ), and the length (? )。
30. A number is first expanded by 1000 times, and then reduced by1000 times, which is 1200. This number is (? )。
3 1, □÷□ = 17 ...8. What is the minimum dividend? )。
32, in the division formula without remainder, dividend-divisor x quotient = (? )
33, and ten million adjacent two counting units are (? ) and (? )。
34、? ÷△ = 15 ...24. What is the minimum value of δ? ), this time? Is it (? )。
35. In the same plane, line A is perpendicular to line B and line B is perpendicular to line C, so the relationship between A and C is mutual (? )。
36, electronic calculator, the role of the CE key is (? )。
37. If you want to reflect the number of participants in each interest group in grade four, you can use (? ) statistical chart. To reflect the boys in all interest groups in grade four, you can use the number of girls (? ) statistical chart.
38, in the multiplication, one factor multiplied by 10, another factor divided by 2, the product is the original (? ) times.
39. Buy a teapot with 6 teacups ***48 yuan, and then buy 5 teapots with 30 teacups * * * (? ) yuan.
40. When Ma Xiaohu calculated the division, he mistakenly wrote the divisor 63 as 36, and the quotient was 8. The correct quotient of this question should be (? ) or surplus (? )。
4 1. Ma Xiaohu forgot the brackets when calculating (□+ 15)x4, and the final result was 90. The correct answer should be (? )。
Second, the judgment question
1, the length of a straight line 1 0m, 100, the length of such a straight line1km. ( ? )
These two acute angles must be obtuse. ( ? )
3. Two disjoint lines are called parallel lines. ( ? )
4. Two completely equal triangles can definitely form a triangle. ( ? )
5. Two completely equal triangles can definitely form a parallelogram. ( ? )
6. Of course, two trapezoid with equal height can form a parallelogram. ( ? )
7. Lines and rays have no endpoints, so it is impossible to measure the length. ( ? )
8. A quadrilateral whose four corners are right angles must be a square. ( ? )
9. Units, ten, hundred, thousand and ten thousand are all counting units. ( ? )
10. Draw a perpendicular to the known straight line at a point outside the straight line, and only one can be drawn. ( ? )
Third, the application problem.
1, a book *** 156 pages, read 25 pages every day, read for 3 days, which page should I read on the fourth day?
2. In the activities of donating money to help the disabled, three classes in senior three donated money to 75 yuan on average, and the total amount of donations in senior four was twice that of senior three, less than that of 48 yuan. How much is the donation for the fourth grade?
This classroom covers an area of 48 square meters. If it is paved with square bricks with a side length of 4 mm, how many pieces do you need?
4. Xiaohong 135 stick and Xiaofang 3 1 stick. Xiaohong hopes that Xiao Fang has as many sticks as herself. How many times does she need to take out 13 from the pencil case and give it to Xiao Fang?
5. The toy cupboard in the shopping center bought 75 soccer balls, each 20 yuan. After selling it all, I earned 600 yuan. What is the purchase price of each football?
6. The leather shoes factory produced 420 pairs of leather shoes in April, the average number of pairs per day.
In the first quarter of July 20th 1 6, 258 computers were sold in Su Guo1month, 339 in February and 222 in March. How many units were sold every day in the first quarter?
8. The construction team repaired 450 meters of road on the first day, 530 meters on the second day, leaving 98 meters unaddressed. What is the length after repair?
9. The Wangs are going to lay floor tiles in a room 9 meters long and 5 meters wide. You need 16 tiles per square meter. How many floor tiles does Wang Shu want to buy?
10, six identical trucks transport 864 tons of coal for the power plant, and each truck can stun 12 tons at a time. How long does it take to transport coal? (Answer in more than two ways)
1 1, meeting room length 12m, width 8m. Now we are going to lay a floor tile with a side length of 8 decimeters. How many floor tiles should this conference room be paved? (Answer in more than two ways)
12, a rectangular green space with a width of 8m and an area of 560m2. If the width is to be increased to 24 meters and the length remains the same, what is the green area after expansion?
13. unit price of desk is 56 yuan, and unit price of chair is 14 yuan. Lao Zhang bought such a desk with 900 yuan. How many sets can he buy at most?
14, Mr. Li started to go to the riding club from school. When he went there, his speed was only 60 kilometers per hour. It took him four hours to get to the riding club and three hours to return. How many kilometers per hour does he return?
15, a 288-page story book, which Ding Ding finished reading in 12 days. A science and technology tree with 162 pages, read 18 pages every day in winter and winter. What is the difference between the average number of pages read by Ding Ding and Dong Dong every day?
16. There are 8040 fruit trees in the orchard, including apple trees 14 rows with 420 trees in each row, and the rest are peach trees. There are 18 rows of peach trees known. How many trees are there in each row?
Grade?Five
Fill in the blanks
1, 1.25x0.8 means.
2, remove the decimal point of 0.25, is to expand the number (? ); Put 50.4
Move the decimal point two places to the left, that is, restore it to the original ().
3. When two factors are multiplied, one factor is enlarged by 10 times and the other factor is enlarged by 3 times, and the product will be (? )。
4, a number that is not 0 times 0.8, its product ratio is this number (? )。 A natural number multiplied by 0.0 1 is a natural number (? )。
5. Expand 0.03 in "2.58x0.03" to 3, and keep the product unchanged. The decimal point of another factor of 2.58 should be (? ), the product of two decimal places is (? )。
6, 56÷ 1 1 business cycle decimal representation is (? ) accurate to the percentile is ().
7,3 ÷11,the simple writing of the business cycle decimal is (? ) business reservation.
The quotient of 8.9.97÷4.2 1 has two decimal places (? ) The reserved integer is (? )。
9, the largest of the following cycle number is (? ), the smallest is (? )。
10, the product of two factors is 3.4. If two factors are simultaneously expanded by 10 times, the product is (? )。
1 1 and the product of three 2.5 multiplications is (? )。
12、3x=6.9，x=(？ )
13, the fruit shop shipped x kilograms of bananas, and the peaches shipped were 2.5 times that of bananas. Bananas and peaches were shipped (? ) kg. If x=5, there are more peaches than bananas. ) kg.
14、35dm？ =( ? )cm 7.4m？ =( ? )dm？
2350m？ =( ? ) hectares? 3 hours 15 minutes = (? ) hours
1.8 hours (? ) when (? ) points
15, draw the parallelogram wooden frame into a rectangle, and the perimeter (? ), its height and area will be (? )
16, pull a rectangular wooden frame into a parallelogram, and the perimeter (? ), its height and area will be (? )
17, cut into parallelogram along the height, and reassembled into * * * rectangle. What is its height? ), the area is (? ), the circumference is (? )。
18, a piece of square paper with a side length of 20 cm, connect a line segment from the midpoint of two adjacent sides (as shown below), cut off a corner along this line segment, and the remaining shadow area is (? )cm？ .
19, the equal product of triangle and parallelogram is also equal. The height of parallelogram is 10cm, and the height of triangle is (? )。
20. When the upper bottom of the trapezoid is increased by 3 cm, it becomes a square with a side length of 6 cm (as shown below). What is the area of this trapezoid? ) square centimeters.
2 1. Move the decimal point of a decimal to the right by two places to get a new number, which is 44.55 different from the original number. The original number is (? )。
22. The three sides of a right triangle are 3 cm, 4 cm and 5 cm respectively. What is the area of this triangle? ), the height on the hypotenuse is (? )。
23. A decimal has two decimal places, and one decimal place is reserved. Its approximate value is 10.0, and the maximum number is (? ), the lowest is (? )。
24, three consecutive natural numbers, the middle number is n, and the other two numbers are (? ) and (? )。
25, 125 reduced to its (? ) is 0.125; ( ? ) to its 100 times is 0.3.
26, a two-digit number, its digit is B, and the digit on the tenth digit is A, then this two-digit number can be written as (? )。
27. The base of an isosceles triangle is 16cm, the waist is a cm, and the height is b cm. What is the circumference of this triangle? ) cm, with an area of (? )cm？ .
28. The circumference of an isosceles triangle is 16cm, the waist is 5cm, the height on the bottom is 4cm, and the area is (? )cm？ .
29. What is the area after cutting a square with a side length of 8 cm into a parallelogram? )。
30,0.25 divided by 0. 15, when the quotient is 1.6, the remainder is (? ); 0.79÷0.04, the quotient is 19 and the remainder is (? )。
3 1, the upper bottom, lower bottom and height of a trapezoid are 5cm, 9cm and 6cm respectively, and the area is (? ) Square decimeter.
32. Xiao Ming cut out a parallelogram from a trapezoid with a bottom of 15cm, a bottom of 10cm and a height of 6cm (as shown below). What is the area of this parallelogram? )cm？ .
33, a pile of logs, five above, below 14, every two adjacent layers of a log, this pile of logs a * * * (? ) root.
34. Triangle and parallelogram are equal in area and height. If the base of a triangle is 25 cm, the base of a parallelogram is (? ) Deutschmark.
35, a right-angled trapezoid, if the base is reduced by 3cm, this trapezoid becomes a square with a side length of 7cm. What is the area of this trapezoid? )cm？ .
36. After Xiao Zhang turned the top and bottom of a trapezoid into a point, the trapezoid became (? ) shape.
Second, the judgment question
1, decimal multiplication has exactly the same meaning as integer multiplication. ( ? )
2, a number multiplied by 0.8, the product is less than the original number. ( ? )
3. Approximations 7.0 and 7 are equal in size, but different in accuracy. ( ? )
8.4x0.5 is the general number of 8.4. ( ? )
When a number is divided by a decimal, the quotient may be a decimal. ( ? )
6. When a decimal is divided by a decimal, the quotient must be a decimal. ( ? )
7. In division, the quotient must be less than the dividend. ( ? )
8. If a nonzero number is divided by a decimal less than 1, the quotient obtained must be greater than the dividend. ( ? )
9. If the divisor is less than 1, the quotient is greater than the dividend (except 0). ( ? )
10 ,( 0. 1-0. 1x 0. 1)÷0. 1 = 0.9。 ( ? )
1 1、x？ Cannot be equal to 2x. ( ? )
12、a？ & gt2a .( ? )
13, the unknown value is called the solution of the equation. ( ? )
14, decimals are divided into finite decimals, infinite decimals and cyclic decimals. ( ? )
15, the median and average in a set of data may be equal. ( ? )
16. Cyclic decimal is not necessarily infinite decimal. ( ? )
17, the left and right sides of the equation are multiplied by the same number, and the left and right sides are still equal. ( ? )
18, the parallelogram wooden frame is drawn into a rectangle, and the perimeter and area are enlarged. ( ? )
19. If two figures can be combined into a parallelogram, they must be exactly the same. ( ? )
20. A square with a side length of 4 decimeters has the same circumference and area. ( ? )
Multiply 2 1 with two numbers (except 0) both less than 1, and the product must be less than one of the factors. ( ? )
22. The solution of equation 5+2x= 16.2 is 5.6. ( ? )
23、6x+6=6(x+ 1)。 ( ? )
24. Enlarge the upper bottom, lower bottom and height of a trapezoid by 2 times, and its area will be enlarged by 2 times. ( ? )
Third, multiple choice questions
1, a is 2.5 times different from it (? )。
a、a-2.5？ b、2.5-a？ c、 1.5a
2. The following two formulas are equal (? )。
A, a+a and 2a? B, ax2 and a C, a+a and A?
3. The same formula as 3.75÷ 12.5 is (? )。
a、3750÷ 12.5？ b、37.5÷ 125？ c、3750÷ 125
4. You can use (? ) 4.7x99+4.7 simple operation.
I. Law of Multiplication and Exchange
B. laws of multiplication and combination
C. laws of multiplication and distribution
5. The product of two factors is 3.5 times that of one factor and 4.2 times that of the other. The product of these two factors is (? )。
a、8.7？ b、 14.7？ c、 1.2
6. What is the smallest product in the millet formula? )。
a、320x0.24？ b、2.4x0.32？ c、24x0.32
Four, column equation or formula
The equivalent relationship between 1 and "3.2 divided by x is 0.8" is (? )。
2. Three and a half times a number is equal to 80.5. Find this number.
Solution: Let this number be x, then the equation is: (? )
The difference between a number's 5 times and its 3.6 times is 5.6. Find this number.
Solution: Let this number be x, then the equation is: (? )
4. "What is the sum of 7 and 0.38 minus 4.6? ( ? )
Verb (abbreviation of verb) application problem
1. There are 55 fifth-grade students in a primary school, and the number of boys is 0.2 times that of 65438+ girls. How many boys and girls are there?
2. The children's clothing factory originally made a children's clothing, each piece of cloth was 2.2 meters. Now the cutting method has been improved, and each set saves 0.2 meters. How many sets of cloth can be made from the original 1800 sets of such clothes?
The circumference of a rectangle is 45cm, and its length is twice its width. How many square centimeters is the area of this rectangle?
There are two baskets of apples in A and B, and the number of apples in A basket is 2.4 times that in B basket. If you take 35 apples from one basket and put them in basket B, the number of apples in the two baskets is equal. How many apples are there in each basket? (column equation solution)
5. Mom packed some milk candy and fruit candy in a small bag, and each bag contained 0.25 kg milk candy and 0. 15 kg fruit candy. I used 4.5 Jin of fruit candy, and how many Jin of milk candy?
6. My sister travels at a speed of18km by battery car, and my brother travels at a speed of 54km by car. They walked in opposite directions at the same time from two places 247 kilometers apart. Two and a half hours later, how many kilometers are they still apart?
Grade?Six
Fill in the blanks
1, the salt content of a brine is 20%, and the ratio of salt to water is (? )。
It took Xiao Zhang 4 hours and Xiao Li 6 hours to produce the same number of parts. What is the simplest work efficiency ratio between Xiao Zhang and Xiao Li? )。
3. From A to B, the bus takes 4 hours and the truck takes 5 hours. What is the speed ratio between bus and truck? ), the speed of the truck is more full than that of the bus (? )%。
4. When 100g sugar is dissolved in water, the sugar content of syrup is 12.5%. If you add 200 grams of water, the ratio of sugar to syrup is (? )。
5. If the class size is adjusted from110 in Grade 6 to 2 classes, the number of students in the two classes is equal. The ratio of the number of students in the sixth grade 1 class to the number of students in the second class was originally (? )。
6. Transfer 1/4 of the number of team A to team B. At this time, the number of the two teams is equal, and the original number ratio between team A and team B is (? )。
Class 7.6 (1) has 40 students in school today, and 5 people are on leave. What is the attendance rate of this class? )。
8. After a circle with a radius of 10cm is spliced into an approximate rectangle, the circumference of the rectangle is (? ), the area is (? )。
9. The difference between two numbers is equivalent to 40% of the minuend, and the ratio of the minuend to the difference is (? )。
10、
() meters are 40% more than 9 meters.
9 meters (? ) reduced by 55%
200 kg is greater than 160 kg (? )%
160 kg less than 200 kg (? )%
16m ratio (? ) Rice is 60% more than it.
() 30% less than 32 years old.
1 1, the length of the hour hand on the clock face is 1dm, and the area swept by the hour hand day and night is (? )。
12, a water pipe, cut off the full length of 1/4 for the first time, the remaining 2/3 for the second time, and the full length (? )。
13, the price of a leather coat is 1650 yuan. If it is sold at the original price, the profit can be 10%. ) yuan.
14, the side length of a square increases 10%, and the area increases (? )%。
Second, the judgment question
1, the price of a commodity increases by 5% first, and then decreases by 5%. The original price of this commodity is equal to the current price. ( ? )
2. After adding the same amount of salt and water to the salt water with a salt content of 20%, the salt content of the salt water remains unchanged. ( ? )
3. If A is 25% more than B, then B is 25% less than A ... )
A circle with a radius of 2 cm has the same circumference and area. ( ? )
5. The areas of two circles with equal diameters are not necessarily equal. ( )
6. Both the former and the latter items of the ratio are multiplied or divided by the same number, and the ratio remains unchanged. ( ? )
Third, multiple choice questions
1, there are 20 students in the math group * *, so the ratio of male to female is impossible (? )
a、5: 1？ b、4: 1？ c、3: 1？ d、 1: 1
2. As shown in the figure, the area of the shaded part is equivalent to 1/6 of the area of circle A and 1/5 of the area of circle B, so the area ratio of two circles B and A is (? )。 、
a、6: 1？ b、5: 1？ c、5:6？ Chapter VI Section 5
3. For a glass of milk, the ratio of milk to water is 1: 4. After drinking half of it, the ratio of milk to water is (? )。
a、 1:4？ b、 1:2？ c、 1:8？ D, unable to determine
4. The ratio of interest to principal (? )。
First, the interest is greater than the principal
B, the interest is less than the principal
C, interest is not necessarily less than the principal.
Fourth, the application questions
1, a and b are 408km apart. The bus and truck leave from A and B at the same time and meet in three hours. As we all know, the speed ratio of bus to truck is 9: 8. How many kilometers is the bus faster than the truck per hour?
2. A primary school organizes students to collect tree species. The fifth grade accounts for 40%, and the sixth grade accounts for 50%. The fifth grade is 20 kilograms less than the sixth grade. How many kilograms are there in the fifth and sixth grades?
3. A commodity is priced at a profit of 20%, and then sold at a 20% discount. As a result, 64 yuan was lost. What is the cost of this commodity?
4. Weld a 384cm wire into a cuboid model with the aspect ratio of 3:2: 1. What is the length, width and height of this model? How many square centimeters is the surface area?
5. A rectangular piece of land with a perimeter of160m and an aspect ratio of 5: 3. What is the area of this rectangular land?
6. Zhang Hua from Li Minghe took part in the race. When Li Ming ran to the finish line, Zhang Hua ran 40% of the whole course. At this time, they are 80 meters apart. How many meters did the race run?
7. When reading a book, the ratio of read pages to unread pages on the first day is 1: 3, and on the second day it is 120. This is the ratio of read pages to unread pages is 2: 3. How many pages are there in this book?
Here are the answers.