In 2004,1June was a Wednesday. 16 On what day will June 6th fall on 20 10?
2. In the Rubik's Cube, the sum of the numbers in each row, diagonal and column is equal. In this Rubik's cube, the value of x is:
3. If half of a number is 30, then three-quarters of this number is _ _ _ _.
4. The sum of the numbers of the following products
999×555
5. The sum of three positive integers is 28. The maximum possible product of these integers is _ _ _ _ _.
Jack is trying to mosaic the regular pentagon. He manages
As shown below.
The size of the angle is _ _ _ _ _.
7. If the area of the regular hexagonal shadow area in the figure
Below is 36 cm2, and the area of the whole hexagon is _ _ _ _ _ in cm2.
8. In the following, □ and △ are different numbers.
The remainder of 503 divided by □ is 20.
When 503 is divided by δ, the remainder is 20.
When 493 is divided by□ x δ, the remainder is _ _ _ _ _.
A lady, her brother, her son and daughter (all related by blood) play together.
Volleyball. The worst player's twin (one of the four players) and
The best player is the opposite sex.
The worst player and the best player are peers.
Who is not the worst player?
A) only brothers b) only daughters
C) sons and daughters only d) ladies and daughters only
E) for ladies only
10, if you continue the given number pattern, in which line and which line?
What is the position of the number 320 on that line?
1-Line 65438 +0
2 3-Second Row
4 5 6-Third Row
7 8 9 10-Line 4
The answers are given in line order; Location.
Reference answer:
1, Wednesday 2,123,454,27 (sum of digits) 5,28 = 9+9+10, so the answer is 810 6,36 degrees 7,100.
1, do you know? In the decimal number system (radix 10), ten different numbers from 0 to 9 are used to write all the numbers. In the binary number system (radix 2), two different numbers are used, namely 0 and 1.
Which of the following numbers is in
Octal number system (base 8)?
a) 128 B) 127 C) 126D) 125 E) 124
3. The number of diagonals that a regular polygon can draw.
Icosagon is _ _ _ _ _.
4. If both A and B are integers, 10? 3= 1, 152? 7=3, then 379? 6 equals _ _ _ _.
The ratio of the two numbers is 2: 3. When you add 4 to each number, the ratio becomes 5: 7.
The sum of the two original numbers is _ _ _ _.
6, the maximum number of 45 consecutive Mondays.
The number of days is _ _ _
7. Sol plays a video game. He scored 4 points when he hit a goal and lost 6 points when he missed a goal. After 20 rounds, his score was 30. The number of times he missed was _ _ _ _.
8. Three girls A, B and C participated in the 100 meter race. When a ends, b is 10 meter.
Behind A, when B finishes the game, C is 20 meters behind B. How far is it in meters?
When did C go from A finish?
Let's assume that all the athletes run at a constant speed.
9. The area of the face of a rectangular box is 84 square centimeters, 70 square centimeters and 30 square centimeters. The volume of this box is _ _ _ cubic centimeters.
10, you have three weights: 1 kg, 3 kg and 9 kg, and an equal arm balance, as shown in the figure. How many different weights can you weigh with these three things?
[Remember that heavy objects can be placed on either side]
Reference answer:
1, a Look at the simple decimal problem we have learned, it is obvious that there is no 8 in octal.
2. b use the exclusion method.
3, 170 to find the law, the formula is n×(n-3)÷2.
4. 1 defines a new operation, which is to find the remainder of 379÷6.
5, 40, 16 and 24
6、7
7、5
8, 28 meters, according to the distance ratio, the speed ratio of the three is1:9/10:18/25.
9,420 factorization prime factor
10, 13 species
An ant walked 90 meters in 3 hours. The average speed of ants in decimeter per minute is _ _ _ _.
2、
3. In a certain town, some people were affected by the "flu" epidemic. In the first month, 20% people were infected with the flu, while 80% people were healthy.
In the next month, 20% patients recovered and 20% healthy people were infected with the disease.
At the end of the second month, what is the proportion of healthy people?
Mpho, Barry, Sipho, Erica and Fatima are sitting on a park bench.
Mpho didn't sit on the far right. Barry didn't sit on the far left.
Seaver didn't sit at either end. Erica sits on Barry's right.
But not necessarily next to him. Fatima didn't sit next to Seaver.
Seaver didn't sit next to Barry.
Who sits on the far right?
Of the 28 T-shirts in the drawer, 6 are red, 5 are blue and the rest are blue.
White. If Bob randomly selects several T-shirts when packing holiday luggage, what is the minimum quantity he must take out of the drawer to ensure that he has three T-shirts of the same color?
In a foreign language, jalez borg farn means "good math skills". Nurf klar borg means "harmonious mathematics" and Darko klarborn means "good in gold".
What is "harmony gold" in this language?
Five children, Amelia, Bangani, Charles, Devine and edwina, are all here.
When one of them broke the window. The teacher asked each of them to make a statement about the incident, knowing that three of them always lie and two always tell the truth. Their statement is as follows:
Amelia: Charles didn't break it, and neither did Devine.
Bongani: "I didn't break it, and neither did Devine."
Charles: "I didn't break it, edwina did."
Devine: Amelia or edwina broke it.
Edwina: Charles broke it.
Who broke the window?
Do you know that?/You know what? Palindrome is a number that reads the same forward and backward, for example, 35453. Next year 2002 is an example of palindrome figures. What's the difference between 2002 and previous palindrome years?
9. if a? b = (2×a)？ (3×b) What about the value of 2? (3 ? 5) It is _ _ _ _.
10. Two ants start from point A and walk at the same pace. One ant walks around a 3 cm by 3 cm square, while the other ant walks around a 6 cm by 3 cm square.
Rectangular. What is the minimum distance anyone must walk?
Cover up before they meet again?
Reference answer:
1, unit conversion, pay attention to the words, 90× 10 ÷ (3× 60) = 5.
2、 46
3、 0.68
Erica
5. pigeonhole principle 7
6. Pay attention to one-to-one correspondence, Borg = mathematics, Farn = good, Jalez = skills. Klar = In, Nurf = harmony, Darko = gold. The answer is Nurvdako.
Charles
8、 100 1
9、 67
10、 108