First SolveIT Math Olympiad

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1. What is the value of x in the equation 2x + 5 = 11?

Solution
Correct: B
To solve for x, we need to isolate the variable. We can do this by subtracting 5 from both sides of the equation, resulting in 2x = 11 - 5, which simplifies to 2x = 6. Then, we can divide both sides of the equation by 2, resulting in x = 6 / 2, which simplifies to x = 3.

2. If a bakery sells 250 loaves of bread per day, and each loaf costs $2, how much money does the bakery make in a day?

Solution
Correct: B
To find the total amount of money the bakery makes in a day, we need to multiply the number of loaves sold by the price per loaf. 250 loaves * $2 per loaf = $500.

3. A bookshelf has 5 shelves, and each shelf can hold 8 books. If the bookshelf is currently empty, how many books can be placed on it in total?

Solution
Correct: C
To find the total number of books the bookshelf can hold, we need to multiply the number of shelves by the number of books each shelf can hold. 5 shelves * 8 books per shelf = 40 books.

4. What is the value of y in the equation y - 3 = 7?

Solution
Correct: B
To solve for y, we need to isolate the variable. We can do this by adding 3 to both sides of the equation, resulting in y = 7 + 3, which simplifies to y = 10.

5. A group of friends want to share some candy equally. If they have 48 pieces of candy and there are 8 friends, how many pieces of candy will each friend get?

Solution
Correct: C
To find the number of pieces of candy each friend will get, we need to divide the total number of pieces of candy by the number of friends. 48 pieces / 8 friends = 6 pieces per friend.

6. A pencil is 15 cm long. If it is divided into 5 parts, how long is each part?

Solution
Correct: C
To find the length of each part, we need to divide the total length of the pencil by the number of parts. 15 cm / 5 parts = 3 cm per part.

7. What is the value of z in the equation z / 2 = 9?

Solution
Correct: B
To solve for z, we need to isolate the variable. We can do this by multiplying both sides of the equation by 2, resulting in z = 9 * 2, which simplifies to z = 18.

8. A water tank can hold 1200 liters of water. If 300 liters of water are already in the tank, what percentage of the tank is filled?

Solution
Correct: B
To find the percentage of the tank that is filled, we need to divide the amount of water in the tank by the total capacity of the tank and multiply by 100. (300 liters / 1200 liters) * 100 = 25%.

9. A toy car track is 12 meters long. If it is divided into 4 equal parts, how long is each part?

Solution
Correct: B
To find the length of each part, we need to divide the total length of the track by the number of parts. 12 meters / 4 parts = 3 meters per part.

10. What is the value of x in the equation x + 2 = 11?

Solution
Correct: B
To solve for x, we need to isolate the variable. We can do this by subtracting 2 from both sides of the equation, resulting in x = 11 - 2, which simplifies to x = 9.

11. A bakery sells 480 cupcakes per day. If they pack 12 cupcakes in a box, how many boxes do they need per day?

Solution
Correct: B
To find the number of boxes needed per day, we need to divide the total number of cupcakes sold by the number of cupcakes per box. 480 cupcakes / 12 cupcakes per box = 40 boxes.

12. A group of friends want to share some toys equally. If they have 18 toys and there are 3 friends, how many toys will each friend get?

Solution
Correct: C
To find the number of toys each friend will get, we need to divide the total number of toys by the number of friends. 18 toys / 3 friends = 6 toys per friend.

13. What is the value of y in the equation 4y = 28?

Solution
Correct: C
To solve for y, we need to isolate the variable. We can do this by dividing both sides of the equation by 4, resulting in y = 28 / 4, which simplifies to y = 7.

14. A pencil is 18 cm long. If it is divided into 6 parts, how long is each part?

Solution
Correct: B
To find the length of each part, we need to divide the total length of the pencil by the number of parts. 18 cm / 6 parts = 3 cm per part.

15. A book costs 15 dollars. If a 10% discount is applied, how much will the book cost after the discount?

Solution
Correct: A
To find the discount amount, we need to multiply the original price by the discount percentage. $15 * 0.10 = $1.50. Then, we subtract the discount amount from the original price. $15 - $1.50 = $13.50.

16. What is the value of x in the equation x - 4 = 9?

Solution
Correct: B
To solve for x, we need to isolate the variable. We can do this by adding 4 to both sides of the equation, resulting in x = 9 + 4, which simplifies to x = 13.

17. A water bottle can hold 2 liters of water. If 1.5 liters of water are already in the bottle, what percentage of the bottle is filled?

Solution
Correct: D
To find the percentage of the bottle that is filled, we need to divide the amount of water in the bottle by the total capacity of the bottle and multiply by 100. (1.5 liters / 2 liters) * 100 = 75%.

18. A toy car costs 12 dollars. If a 20% discount is applied, how much will the toy car cost after the discount?

Solution
Correct: C
To find the discount amount, we need to multiply the original price by the discount percentage. $12 * 0.20 = $2.40. Then, we subtract the discount amount from the original price. $12 - $2.40 = $9.60.

19. What is the value of z in the equation z / 3 = 8?

Solution
Correct: C
To solve for z, we need to isolate the variable. We can do this by multiplying both sides of the equation by 3, resulting in z = 8 * 3, which simplifies to z = 24.

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