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E 4-3 NAME EUCLIDEAN DIVISION MEET 3 JANUARY 6, 2022 GRADE 4 30 MINUTES ANSWER COLUMN Directions: Place your answer to each question below in the answer column. 1) Together, Robert, Albert and Richard have $4.80. If Albert has as much money as Robert and Richard have together, then Albert has $ . . 1) ___________ 2) a ª b = (a × b) - (a + a - b). For example, 4 ª 2 = (4 × 2) - (4 + 4 - 2) = 8 - 6 2) ___________ = 2. Express 7 ª 5 in simplest form. 3) In the number 912, the value of the product of the digits is ________ more than the value of the sum of the digits. 3) ____________ 4) In a photo album, there are 3 pictures on each page arranged horizontally; 1 2 3 . Which one of the following is a middle picture on a page in the album? a) 20th b) 24th c) 25th d) 34th e) 36th 4) ____________ 5) Two bananas and 3 pears cost $1.46. Four bananas and 2 pears cost $1.48. How much does 1 pear cost? 5) ____________ 6) The 5 stacks of money on a table contain a total of $180. The 1st and 2nd stacks contain a total of $73. The 2nd and 3rd stacks contain a total of $90. The 3rd and 4th stacks contain a total of $76, and the 4th and 5th stacks contain a total of $58. How much money is in the 2nd stack? 6) ____________ E 4-3 EUCLIDEAN DIVISION MEET 3 JANUARY 6, 2022 SOLUTIONS GRADE 4 The answer to each question is in parentheses at the beginning of each solution. 1) ($2.40) Albert must have half the money. Half of $4.80 is $2.40. 2) (26) 7 ª 5 = (7 × 5) - (7 + 7 - 5) = 35 - 9 = 26. 3) (6) Product = 9 × 1 × 2 = 18. Sum = 9 + 1 + 2 = 12. 18 - 12 = 6. 4) (a or 20th) Every 3rd picture is on the far right. The middle picture must be one less than a multiple of 3. Twenty is one less than 21. 5) (36 or 36¢) Since 2B + 3P = $1.46, then, 4B + 6P = $2.92. Since 4B + 2P = $1.48, 4P = $2.92 $1.48 = $1.44. Then, 1 pear = $1.44 ÷ 4 = $.36. 6) ($41) There is a total of $180. The 2nd and 3rd stacks contain $90 and the 4th and 5th stacks contain $58. $90 + $58 = $148 in stacks 2, 3, 4 and 5. That leaves $180 - $148 = $32 in the 1st stack. Since the 1st and 2nd stacks contain a total of $73, the 2nd stack contains $73 - $32 = $41.