Can You Pass A Middle School Math Quiz?

1. There are 180 pages in the book Diana is reading. Diana has read 90 pages. What percent of the book has she read?

Two percent

Five percent

Twenty percent

Twenty-five percent

Fifty percent

Diana has read 90 pages out of a total of 180 pages in the book. To find the percentage, we divide the number of pages she has read (90) by the total number of pages (180) and multiply by 100. This gives us (90/180) * 100 = 50%. Therefore, Diana has read 50% of the book.

Explanation

Diana has read 90 pages out of a total of 180 pages in the book. To find the percentage, we divide the number of pages she has read (90) by the total number of pages (180) and multiply by 100. This gives us (90/180) * 100 = 50%. Therefore, Diana has read 50% of the book.

2. Ms. Hanson invests $500 in the stock market. After ten years, if her investment is worth 300% of its original cost, how much will it then be worth?

1000

5000

1500

5500

After ten years, Ms. Hanson's investment will be worth 300% of its original cost, which means it will be worth 3 times its original value. If her original investment was $500, then 3 times that amount is $1500. Therefore, her investment will be worth $1500 after ten years.

Explanation

After ten years, Ms. Hanson's investment will be worth 300% of its original cost, which means it will be worth 3 times its original value. If her original investment was $500, then 3 times that amount is $1500. Therefore, her investment will be worth $1500 after ten years.

3. Austin tried to remember his friend's house number. He knew that there were three digits: a 5, another 5 and a 7. He could not remember the order. How many different house numbers could it be?

3

6

17

27

There are three possible combinations for the house number: 557, 575, and 755. Each digit can only be used once, so there are no other possible combinations. Therefore, the number of different house numbers it could be is 3.

Explanation

There are three possible combinations for the house number: 557, 575, and 755. Each digit can only be used once, so there are no other possible combinations. Therefore, the number of different house numbers it could be is 3.

4. At a factory, a baseball is put in a box that has a volume of 512 cubic inches. Each boxed baseball is then put in a larger box for shipment. The shipping box holds 24 boxed baseballs in each layer and contains a total of 96 boxed baseballs. What is the volume of the shipping box?

12,288 cubic inches

49,152 cubic inches

61,440 cubic inches

The volume of the shipping box can be calculated by multiplying the volume of each boxed baseball by the number of boxed baseballs in the shipping box. Since each boxed baseball has a volume of 512 cubic inches and there are 96 boxed baseballs in the shipping box, the volume of the shipping box is 512 cubic inches multiplied by 96, which equals 49,152 cubic inches.

Explanation

The volume of the shipping box can be calculated by multiplying the volume of each boxed baseball by the number of boxed baseballs in the shipping box. Since each boxed baseball has a volume of 512 cubic inches and there are 96 boxed baseballs in the shipping box, the volume of the shipping box is 512 cubic inches multiplied by 96, which equals 49,152 cubic inches.

5. The area of a rectangle is 36 square centimeters; its perimeter is 30 centimeters. What are the dimensions of the rectangle?

2 cm by 18 cm

3 cm by 12 cm

4 cm by 9 cm

6 cm by 6 cm

The area of a rectangle is calculated by multiplying its length and width. In this case, we are given that the area is 36 square centimeters. To find the dimensions, we need to determine two numbers that multiply to give 36. The only pair that satisfies this condition is 3 and 12, as 3 multiplied by 12 equals 36. Additionally, the perimeter of a rectangle is calculated by adding twice the length and twice the width. In this case, we are given that the perimeter is 30 centimeters. By substituting the dimensions into the perimeter formula, we can verify that the dimensions 3 cm by 12 cm indeed result in a perimeter of 30 centimeters.

Explanation

The area of a rectangle is calculated by multiplying its length and width. In this case, we are given that the area is 36 square centimeters. To find the dimensions, we need to determine two numbers that multiply to give 36. The only pair that satisfies this condition is 3 and 12, as 3 multiplied by 12 equals 36. Additionally, the perimeter of a rectangle is calculated by adding twice the length and twice the width. In this case, we are given that the perimeter is 30 centimeters. By substituting the dimensions into the perimeter formula, we can verify that the dimensions 3 cm by 12 cm indeed result in a perimeter of 30 centimeters.

6. At a clearance sale, the price of a TV was discounted 40%. The discount price was $375. What was the original price?

615

525

625

635

645

The original price of the TV can be calculated by dividing the discount price by (100% - discount percentage) and then multiplying by 100. In this case, the discount percentage is 40%, so (100% - 40%) = 60%. Dividing the discount price of $375 by 60% gives us $625, which is the original price of the TV.

Explanation

The original price of the TV can be calculated by dividing the discount price by (100% - discount percentage) and then multiplying by 100. In this case, the discount percentage is 40%, so (100% - 40%) = 60%. Dividing the discount price of $375 by 60% gives us $625, which is the original price of the TV.