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Senior one mathematics Olympic examination questions
Grade one: 1, Xiaolin has 19 pieces of candy, Xiaoping has 5 pieces of candy, Xiaolin gives Xiaoping a few pieces of candy, and Xiaoping has 2 pieces less than Xiaolin?

Xiaoming is 6 years old and Xiao Qiang is 4 years old. How old is Xiaoming two years later?

3. Students line up to do exercises. There are four people in front of Xiaoming and four people behind him. How many people are there in this team?

Grade two: 1. It takes 94 bricks to repair the flower bed, 36 for the first time and 38 for the second time. How many more bricks do you need to move? (calculated in two ways)

2. Miss Wang bought a rope, 20 meters long, and cut it off for 5 meters to repair the net. How many meters are left?

I bought 60 cabbages in the canteen, ate 56 cabbages and bought 30 cabbages. How many people are there now?

4. Xiaohong has 4 1 yuan. She bought three pens at the stationery store, each with 6 yuan money. How much is left?

Grade three: 1. There is a *** 163 marker and pencil in the shop. If you take away 19 watercolor pens, the number of watercolor pens is exactly five times that of pencils. How many original watercolor pens and pencils are there?

Clever calculation of 2.5869-457-243

3. The sum of the ages of A, B and C is 94 years old. A is twice as old as C, five years old, and B is twice as old as C 19 years old. Q: How old are A, B and C?

4. A, B, C and D won the top four in a competition. It is known that D is not the highest ranking, but it is higher than both B and C, and C is not higher than B. Q: Where are they?

There are four athletes whose numbers are 1, 2, 3, 4. They won the top four in a competition. It is known that: ① the number of each athlete does not match its ranking; The ranking of an athlete is the number of the fourth athlete, and this person's number is the ranking of the second athlete. ③ If the third athlete is not the first, how many players will get 1, how many will get the second place, how many will get the third place and how many will get the fourth place.

Level 4: 1, calculation 12345× 2345+2469× 38275 =

Answer: at first glance, it is the sum of two multiplications, and you should think of extracting the common factor; We need to calculate these figures separately.

Common factor, observe 12345,2469, think of1234:

Original formula = (12340+5) × 2345+(2468+1) × 38275.

= 1234×23450+ 1 1725+2× 1234×38275+38275

= 1234×(23450+76550)+50000

= 123400000+50000

= 123450000

2. A group of ultramen defeated a group of little monsters. It is known that Altman has a head and two legs, and small monsters have a head and five legs. A * * * has 10 head and 4 1 leg on the battlefield, so how many Altmen are there? How many little monsters are there?

Answer:

Assuming that the head of 10 is Altman's, there should be 2× 10=20 legs on the battlefield, so the little monster * * has (4 1-20) ÷ (5-2) = 7 (1), and Altman * * has.

Three years later, the sum of the two sisters' ages is 27 years old, and the younger sister's age is exactly half that of the older sister. How old are the sisters?

Answer: My sister is 7 years old. Sister 14 years old.

The elephant asked his mother, "Mom, how old were you when I grew up to your present age?" Mom replied, "I'm 28 years old." The elephant asked again, "How old was I when you were my age?" Mom replied, "You are only 1 year old." How old is mother elephant?

Answer: elephant 10 years old, mother 19 years old.

The giant panda is three times as old as the little panda. In four years, the sum of the ages of the giant panda and the red panda will be 28 years old. How old are pandas and pandas?

Answer: giant panda 15 years old, red panda 5 years old.

(28-4×2)÷(3+ 1)=5 (years).

6. Before15, the father's age was seven times that of his son, and after 10, the father's age was twice that of his son. Ask father and son how old they are.

Answer: My father is 50 years old and my son is 20 years old.

(15+10) ÷ (7-2)+15 = 20 (years old)

Grade 5: 1. A car, from place A to place B, will arrive in 0.5 hour if it travels 45 kilometers per hour; If you drive 50 kilometers per hour, you can arrive 0.5 hour earlier. Ask about the distance between Party A and Party B and plan the driving time.

Xiaohong and Xiao Qiao bought the same problem set and used the summer vacation to do exercises. Xiaohong did 364 questions, Xiao Qiao did 228 questions, and the rest were exactly twice as many as Xiaohong. How many exercises are there in this book?

Father is 47 years old and son is 20 years old. How many years ago, my father was four times as old as my son?

A tree planting team will plant trees. If each person plants 5 trees, there are still 14 seedlings left. If everyone plants seven trees, there will be a shortage of four seedlings. How many people are there in this group? A * *, how many seedlings?

5. Each 0.3 yuan for Class A pencils, each 0.6 yuan for Class B pencils, and 20 pencils with 9 yuan money. How many pencils did you each buy?

6. The trapezoidal bottom is 2 cm more than the upper bottom, 5 cm higher and 40 cm in area. What is a sole?

7. It takes 2 hours for a ship to travel downstream from Pier A to Pier B, and 2.5 hours for a ship to return to Pier A from Pier B and travel upstream. Given the water speed of 3 km/h, what is the speed of the ship in still water?