(1) The circle that is inscribed in the square below has a radius of 2. What is the length of diagonal of the square ?

(A) 2 (B) 4 (C) 16 (D) 4√2 (E) 2√2

(2) What is the absolute value of the difference between the number of integers between 0 and 5 inclusive and the number of integers between 1 and 6 exclusive ?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 5

(3) Corey is walking on a path. Every three steps he take, he makes a 30 degree rotation to counterclockwise, if he took 18 steps in total, how many full revolutions was he able to make altogether ?

(A) 0.25 (B) 0.5 (C) 1 (D) 2 (E) 5

(4) What is 20% of 20% of 20 ?

(A) 0.2 (B) 0.8 (C) 2 (D) 8 (E) 8000.

(5) What is the difference between the largest and lowest integer in the sequence of consecutive odd integers whose sum is 15 ?

(A) 2 (B) 4 (C) 5 (D) 9 (E) 12

(6) The half life of a substance is the time it takes for a substance to decrease to half its initial amount. If John initially had 100 pounds of goo and ten days later, he only had 25 pounds of goo, what is the half life of the goo ?

(A) 10 days (B) 5 days (C) 7.5 days

(D) 20 days (E) 25 days

(7) What is the value of (9^{4} - 8^{4})/(9^{2} + 8^{2}) ?

(A) 1 (B) 16 (C) 17 (D) 18 (E) 155

(8) Jack fills a jug with water continuously. It takes him 2 minutes to fill up 50% of the empty space in the jug with water. After every 2 minutes, he puts a penny into a jar to celebrate. How many pennies will he have in the jar at the instant the jug has less tan 30% empty space left ?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

(9)

In the figure above, there are two balance beams that have triangles, circles and squares on them. Both beams are fully balanced. How many circles are needed to balance 70 squares ?

(A) 10 (B) 12 (C) 35 (D) 70 (E) 140

(10) 0.7 bar + (2/9) = 0.6 bar + ____

(A) 1/2 (B) 1/3 (C) 2/9 (D) 4/9 (E) 1

(11) The distinct prime factors of 232 are

(A) 2, 2, 2, 29 (B) 116, 2 (C) 2, 29

(D) 2, 2, 58 (E) 2, 58

(12) If the pattern continues, what will be the 438th symbol ?

(13) Find the value of t.

t/32 = x/p

(A) 32p/x (B) xp/32 (C) 32/px (D) 32x/p (E) 32px

(14) What is the largest integer greater than 52/3 ?

(A) 16 (B) 17 (C) 18 (D) 19 (E) 20

(15) If 5^{5} + 5^{5} + 5^{5} + 5^{5 }+ 5^{5 }= 5^{a + 1}, what is a ?

(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

(16) If (x + y)^{2} = x^{2} + y^{2}, then what condition must be true?

(A) x = y = 0 (B) x + y = 0 (C) 2x = 0

(D) 2y = 0 (E) xy = 0

(17) What is the maximum number of points that two distinct circles intersect at ?

(A) 1 (B) 2 (C) 3 (D) 4 (E) Undefined

(18) A cumulative product of a set {a, b, c, ............} is the sequence a, ab, abc,.............. What is the mean of the terms in cumulative product of {1, 2, 3, 0} ?

(A) 0 (B) 2 (C) 2.25 (D) 3.5 (E) 6

(19) How many integers are in the set of non positive, non negative integers?

(A) 0 (B) 1 (C) 2 (D) 3 (E) Undefined

(20) How many chords are in the circle below ?

(A) 0 (B) 1 (C) 2 (D) 3 (E) 7

If you would like to have more questions on PSAT math, please click on the links given below.

**PSAT online practice test math - Paper 1**

**PSAT online practice test math - Paper 2**

**PSAT online practice test math - Paper 3**

**PSAT online practice test math - Paper 4**

**PSAT online practice test math - Paper 5**

**PSAT online practice test math - Paper 6**

**PSAT online practice test math - Paper 7**

**PSAT online practice test math - Paper 8**

**PSAT online practice test math - Paper 9**

**PSAT online practice test math - Paper 10**

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**