Math Word Problems Quiz: Test Your Problem-solving Skills

To determine the average speed of the train, we utilize the fundamental formula: speed = distance / time. In this scenario, the train covers a distance of 200 miles over a period of 4 hours. By dividing the distance (200 miles) by the time (4 hours), we arrive at 200 miles / 4 hours = 50 miles per hour (mph). This signifies that the train maintains an average speed of 50 mph throughout its journey.

The pizza has been sliced into 8 equal pieces, and you consumed 3 of these slices. To represent the portion of pizza you ate as a fraction, we use the number of slices eaten (3) as the numerator and the total number of slices (8) as the denominator. This results in the fraction 3/8, indicating that you consumed 3 out of 8 slices of the pizza.

Initially, you possessed 20 marbles, and you decided to give 5 of them to your friend. To determine the proportion of marbles given away in terms of percentage, we divide the number of marbles given away by the total number of marbles and then multiply the result by 100%: (5 marbles / 20 marbles) * 100% = 25%. This indicates that you gave away 25% of your marbles.

The recipe you are following specifies that 2 eggs are required for every 1 cup of flour used. Since you intend to use 3 cups of flour, it's necessary to adjust the number of eggs proportionally. This is done by multiplying the number of eggs needed per cup of flour by the total number of cups used: 2 eggs/cup * 3 cups = 6 eggs. Therefore, you will need 6 eggs for your recipe.

The baker's recipe necessitates 3 cups of flour for every cake she intends to bake. As she plans to bake 5 cakes, we need to determine the total quantity of flour required. This is achieved by multiplying the amount of flour per cake by the number of cakes: 3 cups/cake * 5 cakes = 15 cups. Consequently, the baker needs a total of 15 cups of flour to bake all 5 cakes.

The area of a rectangular shape, such as the garden in this problem, is determined by multiplying its length by its width. Given that the garden measures 12 meters in length and 8 meters in width, we calculate its area as follows: 12 meters * 8 meters = 96 square meters. Therefore, the garden covers an area of 96 square meters.

To ascertain the distance covered by the car, we employ the formula: distance = speed * time. The car travels at a speed of 60 kilometers per hour (km/h) for a duration of 3 hours. Multiplying the speed by the time gives us: 60 km/h * 3 hours = 180 km. Consequently, the car will have traveled a distance of 180 kilometers.

The shirt, originally priced at $25, is currently on sale with a 20% discount. To compute the amount of money saved due to this discount, we multiply the original price by the discount percentage expressed as a decimal: $25 * 0.20 = $5. Hence, the discount allows you to save $5 on the purchase of the shirt.

During a buy-one-get-one-free sale, the customer essentially pays for only one item while receiving a second item of equal or lesser value for free. In this instance, a pair of shoes is priced at $40. As the sale allows you to acquire two pairs for the price of one, the total cost remains the same as the price of a single pair, which is $40.

The perimeter of a rectangle is defined as the total length of all its sides combined. This particular rectangle has a length of 10 cm and a width of 5 cm. To calculate the perimeter, we add the lengths of all four sides: 10 cm + 5 cm + 10 cm + 5 cm = 30 cm. Therefore, the perimeter of the rectangle is 30 cm.