1, find a rule to fill in the numbers. 2、6、 12、20、( )、42。
2, with 2, 0, 0, 5 can form () different four digits.
3. Fill in the appropriate numbers in the box. 1 ×2 7=5 166
4.If () ÷ 8 = 32 ... (). Then, the maximum dividend is ().
5. Given that A×B=2005, the maximum sum of a and b is ().
6. Divide the rope with a length of 1m into two sections, so that the length of the second section is twice that of the first section, and the first section is () meters long.
There are 50 people in class one. 20 people participated in the math interest group, 15 people participated in the Chinese interest group, and 24 people only participated in other interest groups other than math and Chinese. There are () people interested in math and Chinese.
8. The school bought three basketballs and five volleyballs, each basketball has more 48 yuan 18 yuan than each volleyball, and it costs () yuan to buy two kinds of balls.
9. Different Chinese characters in the following formula represent different numbers. Please change the Chinese character formula into a numerical formula. The formula of this number is ().
Math × Love Math = I love Math
10, a three-digit number is written on the card. If you look at the card upside down, this
The size of the three digits remains the same, and the three digits on the card are (or).
Fill in the blanks (6 points for each small question, 60 points for * * *)
1、30; 2、6; 3、 18×287=5 166; 4、263;
5、2006; 6、 ; 7、9; 8、294;
9、25× 125=3 125; 10,888 808111etc.
Second, the answer: (each small question 10, ***40)
1. Please fill in the six different numbers 1, 2, 3, 4, 5 and 6 in the box below to make the equation hold.
Answer: 54× 3 =162;
2. How many Sundays are there in a month at most? At least a few sundays. Can you find the answer? Write down your thoughts or analysis process briefly.
Answer: 5 at most and 4 at least. You can list or divide by remainder.
3. Divide 88 by the sum of 6 numbers, so that each number contains the number 8. How many ways do you divide it? Write down your opinion below.
Answer: 2 points each, with the highest score of 10.
Xiao Ming's family has two new square tablecloths, both of which are 10 decimeter long. Recently, Xiao Ming's family bought a new table with a square side length of 12 decimeter. Neither tablecloth is suitable. Please try to put two tablecloths together to make a square tablecloth (there is no cloth left). Can you do it? Show your method in numbers or words.
Answer: This is an open question, and the answer is not unique. As long as you do a method, you will get full marks.
Method 1: Divide a square diagonally into four equal parts, and then place each part above the four sides of another square.
Method 2: Divide two squares into four equal parts diagonally, and then make a big square.
Other methods are omitted.
88=8+8+8+8+8+48 88=8+8+8+8+ 18+38
88=8+8+8+ 18+ 18+28 88=8+8+ 18+ 18+ 18+ 18
88=8+8+8+8+28+28
Mathematical Olympiad Examination Questions for Grade Six (2)
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Proposer: Qin Chuanzhi
(Time: 90 minutes, full mark: 100)
1. Write different six digits with three zeros and three eights as needed. (10)
(1) Don't read any zeros;
(2) Read only a zero;
(3) Read only two zeros.
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2. Teacher Li wrote a number on the blackboard: 28704 160 and asked the students: Do you know the composition of this number? Therefore, Zhang Qian and Xia Xue have two different answers. Please write these two answers. (10)
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When a three-digit number is divided by 15, the quotient and the remainder are the same. What is the maximum number of this three-digit number? What's the minimum? (10)
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4. Rewrite 350082000 into a number in hundreds of millions, and then keep two decimal places. (10)
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5.0.9 magnification 1000 times. In which direction has the decimal point of this number moved? How much bigger than the original figure? If you move the decimal point 0.9 to the left, how many times is this number smaller than before? (10)
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6. Fill in the appropriate natural number in the following □ to make the following formula hold. How many numbers can you fill in? (10)
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7. If 16 is added to the numerator of, how much should the denominator be added to keep the size of the fraction unchanged? (10)
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8. decompose the following numbers into prime factors, and then find the divisor. (10)
( 1) 189; (2)324; (3)992; (4)6 174。
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9. Decomposition of natural numbers A and B into prime factors results in a = 2× 5× 7× m and B = 3× 5× m. If the minimum common multiple of A and B is 2730, then m = _ _ _ _ _ _ _ _ _ (10).
[answer]
10、 1+3+5+7+……+99,