Number Sense
What is the positive difference between 2³ and 3²?
1
Find the perfect cube of the first prime number.
8
The ratio of boys to girls in a classroom is 7:5. If there are 60 girls in the classroom, how many boys are there?
84 boys
What is the product of the first 5 natural numbers?
120
How many quarters are needed to pay for a $6.75 toll?
27 quarters
Which of the following numbers is divisible by 8? 25,412
34,612
78,512
56,388
49,122
78,512
John has three more than half of the number of pencils that James has. If James has 10 pencils, how many pencils does John have?
8 pencils
If the first term of an arithmetic sequence is 0, the second term is 5 and the third term is 10, what is the product of the first term and the 2013th term?
0
Find the sum: 1 + 2 + 3 + ... + 9 + 10 + 11.
66
How many prime numbers are between 1 and 50?
15
Laura and Lucy live 540 miles apart. They both leave their house at the same time and drive toward each other. If Laura is driving at 45 miles per hour and Lucy is driving at 15 miles per hour, how many hours will it take for them to meet?
9 hours
The set {a, b, c} is given such that a < b < c. The sums (a + b), (a + c), and (b + c) are equal to 10, 11, and 15, respectively. What is the value of (c - a)?
5
Using only pennies and quarters, what is the least number of coins necessary to make 68 cents?
20 coins
What is the Least Common Multiple (LCM) of 65 and 91?
455
The President of a given planet gets paid $400,000 a year. If this planet has 20 months per year, 25 days per month and 32 hours per day, how much does the President get paid per hour?
$25 per hour
What is the value of 32² - 28²?
240
Let n! = n × (n - 1) × (n - 2) × ... × 3 × 2 × 1. For example, 4! = 4 × 3 × 2 × 1 = 24. What is the tens digit of 7!?
4
Each school bus has 23 passenger seats. If 1,000 students go on a field trip and ride the school bus, what is the least number of buses needed?
44 buses