China Primary Mathematical Olympiad

Description: This quiz consists of 15 questions from the China Primary Mathematical Olympiad, designed to challenge students' mathematical abilities and problem-solving skills.
Number of Questions: 15
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Tags: mathematical olympiad china primary school mathematics
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A farmer has 12 sheep, 18 cows, and 24 pigs. How many animals does the farmer have in total?

  1. 54

  2. 60

  3. 66

  4. 72


Correct Option: C
Explanation:

To find the total number of animals, we can add the number of sheep, cows, and pigs: 12 + 18 + 24 = 66.

A rectangular garden has a length of 10 meters and a width of 8 meters. What is the area of the garden?

  1. 60 square meters

  2. 80 square meters

  3. 100 square meters

  4. 120 square meters


Correct Option: B
Explanation:

The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the garden is 10 meters * 8 meters = 80 square meters.

A train travels 200 kilometers in 4 hours. What is the average speed of the train in kilometers per hour?

  1. 40 km/h

  2. 50 km/h

  3. 60 km/h

  4. 70 km/h


Correct Option: B
Explanation:

To find the average speed, we divide the total distance traveled by the time taken: 200 kilometers / 4 hours = 50 kilometers per hour.

A shop sells a shirt for $10 and a pair of pants for $15. If a customer buys 2 shirts and 3 pairs of pants, how much money does the customer spend in total?

  1. $60

  2. $70

  3. $80

  4. $90


Correct Option: C
Explanation:

To find the total amount spent, we can multiply the price of each item by the quantity purchased and then add the results: (2 shirts * $10 per shirt) + (3 pairs of pants * $15 per pair) = $20 + $45 = $80.

A box contains 12 red balls, 8 blue balls, and 6 green balls. If a ball is randomly selected from the box, what is the probability of selecting a red ball?

  1. 1/2

  2. 1/3

  3. 2/5

  4. 3/8


Correct Option: A
Explanation:

To find the probability of selecting a red ball, we divide the number of red balls by the total number of balls: 12 red balls / (12 red balls + 8 blue balls + 6 green balls) = 12/26 = 1/2.

A farmer has 100 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does the farmer plant wheat on?

  1. 20 acres

  2. 30 acres

  3. 40 acres

  4. 50 acres


Correct Option: B
Explanation:

To find the number of acres planted with wheat, we can subtract the acres planted with corn and soybeans from the total acres: 100 acres - (40% of 100 acres + 30% of 100 acres) = 100 acres - (40 acres + 30 acres) = 30 acres.

A rectangular room has a length of 6 meters and a width of 4 meters. What is the perimeter of the room?

  1. 16 meters

  2. 20 meters

  3. 24 meters

  4. 28 meters


Correct Option: B
Explanation:

The perimeter of a rectangle is the sum of the lengths of all four sides. Therefore, the perimeter of the room is 2 * (length + width) = 2 * (6 meters + 4 meters) = 20 meters.

A store sells apples for $1 each, oranges for $0.75 each, and bananas for $0.50 each. If a customer buys 3 apples, 2 oranges, and 4 bananas, how much money does the customer spend in total?

  1. $6.25

  2. $7.00

  3. $7.75

  4. $8.50


Correct Option: C
Explanation:

To find the total amount spent, we can multiply the price of each item by the quantity purchased and then add the results: (3 apples * $1 per apple) + (2 oranges * $0.75 per orange) + (4 bananas * $0.50 per banana) = $3 + $1.50 + $2 = $7.75.

A train leaves a station at 10:00 AM and travels at a speed of 60 kilometers per hour. Another train leaves the same station at 11:00 AM and travels in the same direction at a speed of 70 kilometers per hour. At what time will the second train overtake the first train?

  1. 12:00 PM

  2. 12:30 PM

  3. 1:00 PM

  4. 1:30 PM


Correct Option: C
Explanation:

To find the time when the second train overtakes the first train, we can calculate the time it takes for the second train to cover the distance between the two trains. The distance between the two trains is equal to the speed of the first train multiplied by the time difference between the two trains. Once we know the distance, we can divide it by the speed of the second train to find the time it takes for the second train to cover that distance.

A farmer has 100 chickens. If each chicken lays 1 egg every day, how many eggs do the chickens lay in a week?

  1. 700 eggs

  2. 800 eggs

  3. 900 eggs

  4. 1000 eggs


Correct Option: A
Explanation:

To find the total number of eggs laid in a week, we can multiply the number of chickens by the number of eggs laid by each chicken per day and then multiply by the number of days in a week: 100 chickens * 1 egg per chicken per day * 7 days = 700 eggs.

A rectangular garden has a length of 12 meters and a width of 8 meters. What is the area of the garden in square meters?

  1. 96 square meters

  2. 104 square meters

  3. 112 square meters

  4. 120 square meters


Correct Option: A
Explanation:

The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the garden is 12 meters * 8 meters = 96 square meters.

A train travels 300 kilometers in 5 hours. What is the average speed of the train in kilometers per hour?

  1. 50 km/h

  2. 60 km/h

  3. 70 km/h

  4. 80 km/h


Correct Option: B
Explanation:

To find the average speed, we divide the total distance traveled by the time taken: 300 kilometers / 5 hours = 60 kilometers per hour.

A shop sells a shirt for $10 and a pair of pants for $15. If a customer buys 3 shirts and 2 pairs of pants, how much money does the customer spend in total?

  1. $50

  2. $60

  3. $70

  4. $80


Correct Option: C
Explanation:

To find the total amount spent, we can multiply the price of each item by the quantity purchased and then add the results: (3 shirts * $10 per shirt) + (2 pairs of pants * $15 per pair) = $30 + $30 = $70.

A box contains 15 red balls, 10 blue balls, and 5 green balls. If a ball is randomly selected from the box, what is the probability of selecting a blue ball?

  1. 1/3

  2. 1/4

  3. 1/5

  4. 1/6


Correct Option: A
Explanation:

To find the probability of selecting a blue ball, we divide the number of blue balls by the total number of balls: 10 blue balls / (15 red balls + 10 blue balls + 5 green balls) = 10/30 = 1/3.

A farmer has 120 acres of land. He plants corn on 40% of the land, soybeans on 30% of the land, and wheat on the rest of the land. How many acres of land does the farmer plant wheat on?

  1. 36 acres

  2. 48 acres

  3. 60 acres

  4. 72 acres


Correct Option: B
Explanation:

To find the number of acres planted with wheat, we can subtract the acres planted with corn and soybeans from the total acres: 120 acres - (40% of 120 acres + 30% of 120 acres) = 120 acres - (48 acres + 36 acres) = 48 acres.

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