Number Thinking (3)( Week 40 Evaluation) 1. When a certain number is decreased by 21, the result is the same as if it was divided by 4. What is the number? 2. The sum of two whole numbers A and B is 1013. The ones place value of number A is 1. If we delete the 1, then we get number B. What is number A? 3. The product of two whole numbers is 273 and their difference is 8. What is the sum of the two numbers? 4. There are three continuous natural numbers. The difference between the product of the last two numbers and the product of the first two numbers is 108. What is the average of the three numbers? 5. A five-digit number X22X2 is divisible by 9. Each of the Xs represents the same digit. What digit does X represent? 6. If n is an odd number, which of the following is evaluated as also an odd number? 7. What is the smallest positive integer n for which 22n + 1 is evaluated as a composite number? 8. If y = 5 − x2 and -4 ≤ x ≤ 2, what is the difference between the largest possible y value and smallest possible y value? 9. If a is a positive integer and b is a negative integer, which of the following statements must be true?
I. a2 + b2 + ab <0 II.a − b > 0 III. > 0 10. A 5-digit number 6X69Y, in which X and Y are digits, is divisible by 24. What is the smallest value that the number could be? |