#1
Samantha has 24 apples. She gives 1/4 of them to her friend. How many apples does Samantha give to her friend?
6
Explanation1/4 of 24 is 6.
#2
A train travels 250 miles in 5 hours. What is its average speed in miles per hour?
50 mph
ExplanationAverage speed = Total distance / Total time = 250 miles / 5 hours = 50 mph.
#3
A bakery sells 3 types of cakes: chocolate, vanilla, and strawberry. If 1/4 of the cakes sold are chocolate, and the rest are evenly split between vanilla and strawberry, what fraction of the cakes are vanilla?
3/8
Explanation3/4 of the cakes are vanilla and strawberry combined. Since they're evenly split, half of that (3/8) are vanilla.
#4
A garden has a square shape with a side length of 12 meters. What is the area of the garden?
144 square meters
ExplanationArea = side length * side length = 12 * 12 = 144 square meters.
#5
A train travels 150 miles in 2.5 hours. What is its speed in miles per hour?
60 mph
ExplanationSpeed = distance / time = 150 miles / 2.5 hours = 60 mph.
#6
If a shirt costs $20 and is on sale for 30% off, what is the discounted price of the shirt?
$16
Explanation30% off $20 is $6, so the discounted price is $20 - $6 = $16.
#7
A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden?
120 square meters
ExplanationArea = length * width = 15 * 8 = 120 square meters.
#8
If a recipe calls for 3/4 cup of sugar and you want to make half of the recipe, how much sugar should you use?
3/8 cup
ExplanationHalf of 3/4 cup is 3/8 cup.
#9
The sum of two consecutive integers is 35. What are the integers?
18, 17
ExplanationLet x be the first integer, then x + 1 is the next consecutive integer. Therefore, x + (x + 1) = 35; solving, x = 17, so the integers are 17 and 18.
#10
The sum of two consecutive odd numbers is 44. What are the numbers?
21, 23
ExplanationLet x be the first odd number, then x + 2 is the next consecutive odd number. Therefore, x + (x + 2) = 44; solving, x = 21, so the odd numbers are 21 and 23.
#11
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. What is the volume of the prism?
400 cm³
ExplanationVolume = length * width * height = 10 * 5 * 8 = 400 cm³.
#12
John invested $500 in a bank account that earns 5% interest annually. How much money will he have after one year?
$525
ExplanationAfter one year, he'll have $500 + (5% of $500) = $525.
#13
If the perimeter of a rectangle is 36 meters, and its length is 12 meters, what is the width of the rectangle?
6 meters
ExplanationPerimeter = 2 * (length + width), so width = (Perimeter / 2) - length = (36 / 2) - 12 = 6 meters.
#14
A store is offering a 20% discount on a $120 item. What is the final price after the discount?
$108
Explanation20% of $120 is $24, so the final price is $120 - $24 = $108.
#15
If the average of five numbers is 15, and four of the numbers are 12, 18, 15, and 20, what is the fifth number?
10
ExplanationThe sum of the five numbers is 15 * 5 = 75. Subtracting the sum of the known numbers (12 + 18 + 15 + 20 = 65) gives the fifth number: 75 - 65 = 10.
#16
If a car travels at a speed of 60 miles per hour, how far will it travel in 3.5 hours?
210 miles
ExplanationDistance = speed * time = 60 mph * 3.5 hours = 210 miles.
#17
The average of three numbers is 25. If two of the numbers are 20 and 30, what is the third number?
25
ExplanationThe sum of the three numbers is 25 * 3 = 75. Subtracting the sum of the known numbers (20 + 30 = 50) gives the third number: 75 - 50 = 25.