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Sample Test Item 6 (2005)

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This problem is testing to see if we can simplify this
expression using the correct order of operations.
Given expression:

14 – 4 * [2 + 3 * (8 – 5)] step 0

14 – 4 * [2 + 3 * 3] step 1, simplify (8 – 5)

14 – 4 * [2 + 9] step 2, simplify 3 * 3

14 – 4 * [11] step 3, simplify 2 + 9

14 – 44 step 4, simplify 4 * 11

-30 step 5, simplify 14 - 44

Correctly done, you simplify your expression to Choice C.

Sample Test Item 5 (2005)

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This test item is checking if we understand the definitions
of different types of triangles.

Choices B and C are both not true. A triangle that has
exactly two congruent sides is called an isosceles triangle.

Scalene triangles have no congruent sides. Equilateral
triangles have exactly three congruent sides (all sides are
equal).

Thus, Choice D is also not true.

Choice A is the only true statement since a scalene
triangle has no congruent sides.

Sample Test Item 4 (2005)

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Let’s look at this sequence:
1st: 2
2nd: 2 + 1 -> 3
2rd: 3 + 3 -> 6
4th: 6 + 5 -> 11
5th: 11 + 7 -> 18
6th: 18 + 9 -> 27
7th: 27 + 11 -> 38
Choice A is the correct answer.

Sample Test Item 3 (2005)

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This problem tests our understanding of figure definitions.

Choice A is not true. A parallelogram is a quadrilateral
with opposite sides parallel. A kite is a quadrilateral with
equal adjacent sides.

Choice B is not true. A quadrilateral is a four-sided
polygon. A trapezoid is a quadrilateral with two sides
parallel.

Choice C is not true. A rectangle is a quadrilateral with
opposite equal sides with four right angles. A square is a
rectangle with four equal sides.

Choice D is TRUE. A rhombus is an equilateral
parallelogram. A square is a rhombus with four right
angles.

Sample Test Item 2 (2005)

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In this problem, we need to substitute the numbers for the
variables and simplify the expression:

x + 4y

x = 4

y = -5

4 + 4 * -5 = 4 – 20 = -16
The correct answer is Choice C.

Sample Test Item 1 (2005)

2005-item1.png

This is a classic business situation: buying items wholesale
and selling them for a retail price.
The Math Club buys the calendars wholesale for $2.00 and
retails them for $5.00. This is a profit of $3.00 per calendar.

If they sell all 150 calendars, then they will have:

Total Profit = $3.00 per calendar * 150 calendars = $450.00.

The correct answer is Choice B.

Studying for the AIMS Test

I am not going to bore you with details on how to study for the AIMS math test. Just remember 5 study tips and you should be fine.

Studying for high-stakes test requires only common sense:

  1. give yourself plenty of time to study areas of weakness
  2. regularly take timed tests to simulate taking the exam
  3. constantly drill yourself on basic problem-solving mechanics
  4. get plenty of exercise and rest in the days leading up to the exam
  5. study in a place that gives you calm (whether in a library or in a machine shop)

Sample Test Item 58 (2003)

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This question is testing your ability to calculate permutations.

They are asking for the number of permutations of n things taken n at a time.

Specifically, the are asking for number of ways you can arrange 6 students in EVERY order.

Mathematician use factorial notation to represent the number of possible permutations for situations like this.

There are 6 seats and 6 students. Six seats taken at six students at a time.

6P6 = 6!

6! = (6)(5)(4)(3)(2)(1)

As you can see by multiplying the first 3 factors, the only possible answer is Choice A.

Sample Test Item 57 (2003)

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Choice D is wrong. The points on this graph are not random, so there appears to be a relationship between te test scores and the days absent.

Choice A is also wrong. This makes no sense.

There are only two choices left: Choice B and Choice C.

We see there is a downward (negative) slope that shows a trend of test scores as they are related to days absent.

It is safe to say that as students missed more days of school, their test score decreased.

Choice C is the correct answer.

Sample Test Item 65 (2003)

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3 days. 3 times. 2 gyms…

possible outcomes?

3 x 3 x 2 = 18

18 different outcomes are possible

choice C is the answer.

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