THE ANCIENT WIZARD ALBUS OWNS 3 ANCIENT CLOCKS OFPERPETUAL MOTION....

14. The Ancient Wizard Albus owns 3 ancient Clocks ofPerpetual Motion. Every day, Clock #1 runs 20 minutes fast;Clock #2 runs 30 minutes fast, and Clock #3 runs 40 minutesfast. He sets all three clocks to the correct time and leaves tovisit his friend. After many days, he returns home and, to hissurprise, finds all 3 clocks showing the correct time again! What is the fewest possible number of days Albus could havespent away from home?

Grade 5

© Russian School of Mathematics, 2019

Answers

Question No. Answer 1 The smallest four digit number that Emily can make is 1029 or 1026 or 1,029 or 1,026. 2 6 3 The area of the rectangular piece of paper is 360 cm2. 4 x = 18 5 Anna the Ant spun around the bicycle wheel 48 times. 6 The covered number is 2038 or 2,038. 7 The elves made 14 cakes. 8 45 chocolate rabbits. 9 There are 62 cabins. 10 Blinken is 5 years old. 11 The smallest possible height is 144 centimeters. 12 The smallest possible number of unicorns is 77. 13 Mary paints 68 striped triangles. 14 The fewest possible number of days is 72.

Grade 5

IMC 2018