Number Thinking2( Week 45 Evaluation) 1. Find the sum of the natural numbers from 1 to 44 inclusively. i.e. find the sum of 1+2+3+ ... +42+43+44. 2. Larry opens a book and the sum of the two page numbers in front of him is 73. What is the product of the two page numbers? 3. If m and n are positive integers and 4m + 5n = 31, what is the sum of all possible values of n? 4. Some toys are distributed to children. If each child is given 5 toys, 5 toys are left. If each child is given 6 toys, 5 more toys are needed. How many toys are there? 6. A 12-hour digital clock shows time in digits with accuracy to minutes. What is the largest possible sum of all the digits? 7. The product of two whole numbers is 1000. If neither of the numbers contains the digit zero, what is the larger number? 8. When a two-digit number AB is divided by 2, the result is the same as the sum of two digits A and B. Can you find the smallest two-digit number that satisfies this condition? 9. Helen is doing a subtraction operation. The tens place digit of the minuend (number being subtracted) was not printed clearly. She incorrectly put a 8 in the tens place where the digit should be 3. She got an incorrect answer of 415 even though the calculation was correct. What should be the correct answer with the right digit in the tens place? 10. M is the product of 11 consecutive odd numbers. What is the ones digit of M? |