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Set 15

Log Equation Becomes Quadratic

October 30, 2016 at 6:47am by huggins.5@osu.edu

For what values of x is the following statement true?
log42x2 = 1 – log422x – 1
  1. -2, 4
  2. 2, -4
  3. -1, -3
  4. 1, 3
  5. 1,-3

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Posted in Pre-Calculus, Set 15 Tagged Rich Math Problems Leave a comment

Batting Average Improvement

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Mike enters the Vermilion game with a batting average of .274. After going 3-for-4 in the game, his average has gone up to .289. How many hits did he have for the season before the game started?

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Posted in Pre-Calculus, Quantitative Reasoning, Set 15 Tagged Rich Math Problems Leave a comment

Three Equations, Three Unknowns

October 30, 2016 at 6:47am by huggins.5@osu.edu
nx  +  y      =  1
    ny + z  =  1
x  +      nz  =  1

If n is a real number, then the simultaneous system to the right has no solution if and only if n is equal to:

  1. -1
  2. 0
  3. 1
  4. 0 or 1
  5. ½

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Posted in Algebra II / Trigonometry, Set 15 Tagged Rich Math Problems Leave a comment

Miller, Pounds and Kilos

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

A Dutch miller keeps 1/10 of the grain he grinds as his fee. How many pounds of grain must Henk de Bruyn take to the miller so that he will come home with exactly 100 kilos of ground grain?

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Posted in Geometry, Geometry, Quantitative Reasoning, Set 15 Tagged Rich Math Problems Leave a comment

Difference of Squares

October 30, 2016 at 6:47am by huggins.5@osu.edu

Show that x4 – 1 is divisible by 16 whenever x is an odd integer.

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Posted in Pre-Calculus, Set 15 Tagged Rich Math Problems Leave a comment

Factoring by Grouping

October 30, 2016 at 6:47am by huggins.5@osu.edu

Factor completely: ac + a + bc – bd – ad + b.

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Posted in Algebra I, Set 15 Tagged Rich Math Problems Leave a comment

Factoring Backwards (a – b)2

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Find the value of this expression without using a calculator and without doing a lot of work. (Use your algebra eyes to see what’s going on.)

(1379)2 – (2) · (1379) · (379) + (379)2

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Posted in Algebra I, Quantitative Reasoning, Set 15 Tagged Rich Math Problems Leave a comment

Visible Cubes in Big Cube

October 30, 2016 at 6:47am by huggins.5@osu.edu

Suppose n3 little cubes have been assembled into one large cube. Find a formula for the maximum number of little cubes that can be seen from a single location.

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Posted in Algebra II / Trigonometry, Set 15 Tagged Rich Math Problems Leave a comment

Maximum Product, Use All Digits

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Using each of the 10 digits once, find two 5-digit numbers with the largest possible product.

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Posted in Pre-Algebra, Puzzles, Riddles, and Systematic Thinking, Quantitative Reasoning, Set 15 Tagged Rich Math Problems Leave a comment

Three Integers, Product is Prime

October 30, 2016 at 6:47amAugust 18, 2019 by huggins.5@osu.edu

Find three integers in arithmetic progression whose product is prime.

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Posted in Algebra II / Trigonometry, Puzzles, Riddles, and Systematic Thinking, Set 15 Tagged Rich Math Problems Leave a comment

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