An Algebra Problem for TJ Test/HSPT/SHSAT Prep. (Medium). Target Time. 10-35 seconds.

X = SQRT (a) - SQRT (b) and Y = SQRT (a) + SQRT (b). What is the value of XY if a = 137 and b = 136 ?

Note. SQRT = square root.

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An Arithmetic Problem for TJ/SSAT/HSPT Prep. (Easy). Target Time. 15-25 seconds.

If M = 4031 and N = 9015, How many digits are there in the product of MN?

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A Simple Math Problem for SSAT/HSPT/TJ Test Prep. (Easy). Target Time. 15-30 seconds.

The figure below shows a pentagon EFGHI with sides lengths as shown. If the perimeter of the pentagon is 62, what is the value of m + n?

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An Arithmetic Problem for TJ Test/HSPT/Montogomery Blair/SAT Prep. (Medium). Targret Time. 15-30 seconds.

If t and u and p are positive integers. If (t^2) (u) = 54 and (t^2)(u)(p) is a perfect square. What is the smallest value of p?

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A Geometry Problem for TJ Test/HSPT/SSAT/SAT Prep. (Medium). Target Time. 25-40 seconds.

The figure below shows two triangles PQR and RST with dimensions as marked. Find a, b and c.

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A Geometry Problem for TJ Test/HSPT/SSAT/SHSAT Prep. (Medium). Target Time. 10-25 seconds.

The Figure below shows two parallel rays and two intersecting line segments. What is the measure of angle PUT?

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An Algebra Problem for TJ/Blair/SHSAT Prep (Medium). Target Time. 15-30 seconds.

The figure below shows an algebraic fraction.. Please find the value of the fraction.

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An Algebra Problem for TJ Test/HSPT/SSAT Prep. (Hard). Target Time. 20-30 seconds.

If 9^(X+Y) = 81^(X-Y), what is X in terms of Y?

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A % Problem for TJ Test/HSPT/SHSAT/SSAT Prep. (Medium), Target Time. 25-30 seconds.

A is a positive number. A increased by 20% equals B. A decreased by 20% equals C.

1) C  is what % less than B?

2) B is what % more than C?

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A Ratio Problem for TJ Test/SSAT/HSPT Prep. (Medium). Target Time. 25-35 seconds for each part.

A container contains 225 lemons and limes. If 5/9 are lemons and if 2/15 of the lemons and limes are showing signs of decay,

1. What is the maximum possible number of good lemons in the container?

2. What is the maximum possible number of bad limes in the container?

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A Rate Problem for TJHSST/SSAT/HSPT Test Prep. (Medium). Target Timer. 25-40 seconds.

An 1800 L tank is filled with 600 L water and another smaller tank is filled with 1200 L water. If water is transferred at a rate of 30 L/minute from the tank containing 1200 L water to the tank with 6000 L, in how many minutes, both tanks will have equal amount of water?

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A Percent Problem for TJ/SHSAT/SSAT Test Prep. Medium). Target Time. 20-30 seconds.

After 20% discount and 8% sales tax, a physics book sold for $108.00. What was the list (sticker/barcode) price of the book?

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A Word Problem for SSAT/HSPT/TJHSST Test Prep. (Easy). Target Time. 15-20 seconds.

Nick has 96 apples and Joe has 68 apples. Nick should give Joe how many apples so that

1. Nick has 10 more apples that Joe has, and

2. Nick and Joe have equal number of apples?

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A Geometry Problem for THomas Jefferson Test Prep. (Medium). Target Time. 15-35 seconds.

A circle is inscribed inside a quarter circle. What is the ratio of the area outside the circle (but inside the quarter circle) to the area of the circle?

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An Arithmetic Problem for TJHSST/Admission Test/SSAT/HSPT/Montgomery Blair/Poolesville Admission Test Prep. (Hard). Target Time. 20-45 seconds. Prep

M  = 2 N, P = 3/2 M and T = 1/4 P. What is the average of M, N, P and T in terms of M?

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An Arithmetic Problem for TJ/Poolesville Admission Test Prep (Hard). Target Time. 20-40 seconds.

P and Q are integers such that when P is divided by 231 the remainder is 91 and when Q is divided by 231 the remainder is 191. What will be the remainder when P + Q is divided by 231?

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A Proportion Problem for TJ/HSPT/Blair/SAT/SHSAT Prep. (Hard). Target Time. 15-30 seconds.

M, N, O and P are integers. If 7 M = 3 N, 9 N = 7 O and 5 O = 3 P, what is the ratio of M:P?

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A Proportion Problem for TJ/AOS/Blair/SSAT/HSPT/SAT Prep. (Medium) Target Time. 20-35 seconds.

A increased by 60% equals B. B decreased by 50% equals C. C increased by what % will equal A?

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A Logic Problem for TJ/Montogomery Blair/Poolesville Prep. (Medium). Target Time. 30-40 seconds.

If An Apple falls from a tree it will hit a physicist on her head. Assuming only the preceding statement, which of the following conclusions must be true?

1. An apple fell from the tree but it missed the physicist's head.
2. If two apples fall from a tree, only one will hit the physicist in her head.
3. If an apple fell from a tree, strong wind must be lowing.
4. If the physicist was not hit on the head, the apple did not fall.
5. If an falls it will break in two pieces.

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A Percent Problem for TJ/AOS/HSPT/SHSAT/SAT Prep. (Hard). Target Time. 25-40 seconds.

A part time stock trader wants his capital (money he is investing) to be 30% higher at the end of two years. He wants the annual increase each year to be equal. What annual % increase he should achieve so that he will have 30% total gain at the end of two years?

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