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Washington State Math Olympiad
Hints and Solutions
2016 Grade 6 Algebra
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| Problem |
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1) Charlie's class has 28 students in it (including himself). Of the 28 students, 15 have dogs, 12 have cats, and 6 have both. How many students have neither a cat nor a dog? |
2) Evaluate the following equation: If x = 4.7, y = 6.2, z = 8.3;
(Express to the nearest hundredth.)
3xy - 4y + 2 (z - 1.9) = ? |
3) Mira's friend is having a birthday this month, but Mira always forgets the exact birthday. Mira's
friend reminds her that 1/3 of the birth date plus 52 equals two times as much as the birth date. What
is her friend's birthday? |
4) 3x2 + 7 = 199. Evaluate for x.
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5) Jill likes insects and wants to be an entomologist when she grows up. For now, she keeps a collection of ants and spiders. Ants have 6 legs and spiders have 8, and together there are 380 legs in her collection. If she has 59 total ants and spiders, how many of each, ants and spiders, does
she have?
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