**SHSAT Practice Test Math :**

Here we are going to see some practice questions questions for SHSAT exams. Each question paper consists of 20 question. For each questions, you can find solution with detailed explanation.

(1) If 3x + 2y = 19 and 2x + 3y = 91, what is the value of x + y ?

(A) 8 (B) 9 (C) 21 (D) 22 (E) 72

(2) Kenny buys candy bars at 9 for $1 and sells them at 3 for $1. How many candy bars must he sell in order to make a profit of exactly $10 ?

(A) 27 (B) 30 (C) 45 (D) 60 (E) 90

(3) Juan travels at the rate of 30 miles per hour for 4 hours. He then returns over the same route in hours. What was his average rate for the return trip, in mile per hour ?

(A) 22 1/2 (B) 34 2/7 (C) 35 (D) 36 (E) 40

(4) The value of 3^{5} + 3^{5 }+ 3^{5} is

(A) 3^{6 } (B) 3^{15} (C) 9^{5} (D) 9^{125} (E) 4^{5}

(5) Lindsay has P dollars and mark has $9 less than Lindsay. If mark receives an additional $11, how many dollars will mark now have, in terms of P ?

(A) P - 20 (B) 20 - P (C) P + 2 (D) 2 - P (E) P + 11

(6) R = 2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 11 and S = 3 ⋅ 7 ⋅ 13 ⋅ 17, what is the greatest common factor of R and S ?

(A) 2 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 11 ⋅ 11 ⋅ 13 ⋅ 17

(B) 2 ⋅ 3 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 13 ⋅ 17

(C) 3 ⋅ 7 (D) 3 ⋅ 3 ⋅ 7 ⋅ 7 (D) 3 ⋅ 3 ⋅ 3 ⋅ 7 ⋅ 7

(7) The counting numbers are placed in order in the chart, as shown. Assuming the pattern continues, in which column will the 200 appear ?

(A) Q (B) S (C) T (D) U (E) V

(8) The equation 2(3x + 6) = 3(2x + 4) is satisfied by

(A) No value of x (B) Only negative values of x

(C) Only x = 0

(D) only positive values of x (E) all values of x

(9) Wai ling averaged 84 on her first three exams and 82 on her next 2 exams. What grade must she obtain on her sixth test in order to average 85 for all six exams ?

(A) 96 (B) 94 (C) 90 (D) 89 (E) 86

(10) How many prime numbers between 8 and 60 leave a remainder of 2 when divided by 6 ?

(A) 0 (B) 1 (C) 4 (D) 6 (E) 7

(11) In a diagram, each small box is a square whose side is 3. What is the area of the shaded figure ?

(A) 108 (B) 54 (C) 36 (D) 18 (E) 6

(12) When expressed in scientific notation, the number 1,230,000,000 is 1.23 x 10^{B}. The value of B is

(A) 2 (B) 7 (C) 8 (D) 9 (E) 10

(13) In a diagram, lines m and n are parallel. What is the value of x ?

(A) 20 (B) 40 (C) 45 (D) 60 (E) 70

(14) If p = √(2 + √10), Q = √(10 + √2) and R = √(5 + √5)

(A) P < Q < R (B) P < R < Q (C) Q < R < P

(D) R < Q < P (E) P = Q

(15) The sides of a triangle all have integer lengths. Two side have lengths 7 and 10. If the largest and smallest possible perimeters for the triangle are L and S, the value of L + S.

(A) is 20 (B) is 51 (C) is 52 (D) is 54

(E) cannot be determined from the information given

(16) Evaluate (1/2) + (1/3) - (1/4) =

(A) 1/20 (B) 7/12 (C) 3/4 (D) 1 (E) 13/12

(17) In the diagram, AC = BD = 17 and BC = 3. The length of segment AD is

(A) 20 (B) 24 (C) 28 (D) 31 (E) 34

(18) What is the value of |x - y| + |y - x| if x = -3 and y = -7 ?

(A) -14 (B) -6 (C) 0 (D) 8 (E) 20

(19) The sum 2^{10} + 1^{10} + (1/2)^{10} + (1/3)^{10} + (1/4)^{10 }is closest to

(A) 21 (B) 32 (C) 513 (D) 1025 (E) 2000

(20) 4^{3} + 4^{3} + 4^{3} + 4^{3}^{ }=

(A) 4^{4 }(B) 4^{9 }(C) 4^{12 }(D) 16^{3 }(E) 16^{12}

**More Practice Test Papers**

SHSAT math practice test - Paper 1

SHSAT math practice test - Paper 2

SHSAT math practice test - Paper 3

SHSAT math practice test - Paper 4

SHSAT math practice test - Paper 5

SHSAT math practice test - Paper 6

SHSAT math practice test - Paper 7

SHSAT math practice test - Paper 8

SHSAT math practice test - Paper 9

SHSAT math practice test - Paper 10

SHSAT math practice test - Paper 11

After having gone through the stuff given above, we hope that the students would have understood, how to solve problems in SHSAT exams.

Apart from the stuff given in this section , 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**