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Mid-Year Review

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    7th & 8th grade Math: Mid-Year Review
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  • Rebbeca & her friend ate out two nights in a row. They sat in groups of 12 the 1st night and groups of 10 the 2nd night. What is the smallest possible number for the group?
    60 12=2x6 & 10=2x5 so 2x6x5=60
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  • Jude wanted the Red race car to win and noticed that its number is divisible by both 8 & 12. What is the smallest possible number for the Red race car?
    24 8=4x2 & 12=4x3 so 4x2x3=24
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  • Jacob has two cats that go out exploring before coming home to eat. His grey cat returns every 9 hours and his black cat returns every 11 hours. When is the next time that both cats will be back home to eat at the same time?
    99 hours from now 9x11=99 (4 days and 3 hours)
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  • Mr. C has 10 wire puzzles & 20 block puzzles that he wants to group into sets for his students who finish early. He wants to make as many sets as possible that are made up of the same combination. How many sets can he make?
    10 (1 wire and 2 block puzzles per set)
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  • Idayla has 20 green tangerines & 12 kiwis. She wants to make as many fruit bowls as possible that have the same combination of whole fruit. How many fruit bowls can Idayla make?
    4 20=4x5 & 12=4x3 GCF=4 (5 tangerines & 3 kiwis per bowl)
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  • Caleb has 15 blue frosted cupcakes and enough decorations for 10 of them. He wants to make as many cupcake plates as possible that have the same combination of decorated & undecorated cupcakes. How make cupcake plates can Caleb make?
    5 15=5x3 & 10=5x2 GCF=5 (2 decorated & 1 undecorated per plate)
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  • Marcus has 16 gold & 12 silver stars to use for his thank you cards. He wants to make as many cards as possible that have the same combination of stars. How many thank you cards can Marcus make?
    4 16=4x4 & 12=4x3 GCF=4 (4 gold & 3 silver stars per thank you card!)
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  • Tirian wants to taste test an = number of donuts from 2 bakeries without spending too much. The 1st bakery sells donuts in 2 packs, & the 2nd bakery sell them in 5 packs. What’s the least # of donuts Tirian will have to buy from each?
    10 2x5=10
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  • Adrian’s mom helped make muffins and cookies for a local fundraiser. She made just enough for an equal number of packs to sell. The muffins were sold in 9 packs and the cookies in 12 packs. How many of each did she make?
    36 LCM
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  • Jude’s friend Tomi will fly from Grand Rapids to Chicago to visit his grandparents. Tomi allows 35 mins to get ready + 55 min for the drive. Also, check-in is 1 & ½ hr before departure at 8:15 am. Tomi’s wake-up alarm should be set for?
    55+35+90=180 8:15 - 3 hrs = 5:15 am
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  • Jude’s friend Tomi will fly from Grand Rapids to Chicago to visit his grandparents. His flight departs at 8:15 am and takes 55 min. Grand Rapids is 1 hr ahead of Chicago. Tomi’s grandparents arrive at the airport lobby ½ hr early - when?
    8:15+55-60=8:10 8:10-30=7:40 am
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  • Jude’s friend Tomi lives in Grand Rapids which is 3 hrs ahead of Calif. Jude calls his friend right after Tomi finishes dinner at 6:30 pm in Grand Rapids. What time is it in Calif when Jude calls?
    6:30-3=3:30 pm in Calif.
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  • Where in the world is it midnight when it is noon in Alaska?
    -9+12=+3 or -9-12+24=+3 Moscow, Turkey, Saudi Arabia, Ethiopia, Madagascar, etc.
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  • Sam thinks the time of sunset is earlier in San Bernadino, California than Los Angeles, California. Will thinks both cities have the same sunset time. Who is right?
    Sam is right because San Bernadino is East of Los Angeles, and both cities are in the same (-8) Pacific Time Zone
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  • Sam thinks the time of sunset is earlier in Denver, Colorado than in Los Angeles, California. Will thinks both cities have the same sunset time. Who is right?
    Both: Sunsets change by season. Winter=shorter days & longer nights. Their sunset times match on Oct 21, 22 because Time Zones account for longitude.
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  • Sam thinks the time of sunrise is earlier in Denver, Colorado than in Los Angeles, California. Will thinks both cities have the same sunrise time. Who is right?
    Both: Sunrises change by season. Winter=shorter days & longer nights. Their sunrise times match on Aug 15, 22 because Time Zones account for longitude.
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