MB3 Advanced Week 5

How many of the first 100 positive integers are neither perfect squares nor perfect cubes?

A palindrome is a number that reads the same forwards and backwards.  How many palindromes are between 1000 and 10,000?

Tags

CCSS.4.OA.C.5

The surface of a 4” x 5” x 6” block is painted yellow.  If the block is separated into one-inch cubes, what is the number of cubes with exactly one yellow face? 

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CCSS.6.G.A.4

The lengths of two sides of a right triangle are 2√11 meters and 6√3 meters.  The number of meters in the length of the third side is a whole number.  How many meters are in the third side of the triangle?

Tags

CCSS.8.G.B.8

A bag contains yellow and blue marbles.  The probability of selecting a yellow marble from the bag is     8/17.  If there are 27 blue marbles in the bag, what is the number of yellow marbles?

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CCSS.6.RP.A.3B

A uniform piece of lumber is
12 ft long and weighs 30 lb.  If a 5 ft length is removed, what is the number of pounds in the remaining piece?  Express your answer as a mixed number.

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CCSS.7.EE.B.3

Compute: (26² - 24²)²

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CCSS.6.EE.A.1

What number is (11 1/9)% of 13,239

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CCSS.6.RP.A.3C

For what whole number n is 10ⁿ < 695000 < 10ⁿ ⁺ ¹

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CCSS.5.NBT.A.2

What is the ratio of 0.16 to 0.80?  Express your answer as a common fraction.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2