Number Thinking (3)( Week 40 Evaluation) 1. When a certain number is decreased by 56, the result is the same as if it was divided by 9. What is the number? 2. The sum of two whole numbers A and B is 894. The ones place value of number A is 3. If we delete the 3, then we get number B. What is number A? 3. The product of two whole numbers is 133 and their difference is 12. 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 102. What is the average of the three numbers? 5. A five-digit number X11X2 is divisible by 9. Each of the Xs represents the same digit. What digit does X represent? 6. If n is an even number, which of the following is evaluated as also an even number? 7. What is the smallest positive integer n for which 22n + 1 is evaluated as a composite number? 8. If y = 2 − x2 and -6 ≤ x ≤ 2, what is the difference between the largest possible y value and smallest possible y value? 9. If a is a negative integer and b is a positive 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 9X68Y, in which X and Y are digits, is divisible by 24. What is the smallest value that the number could be? |