**SHSAT Math Practice Test for 9th Graders :**

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.

SHSAT Math Practice Test for 9th Graders

(1) Thirty of the fifty students who took an exam received a grade of 90% or greater. What percentage of those fifty students received a grade of less than 90%?

(A) 70 (B) 35 (C) 40 (D) 30 (E) 10

(2) Let n be a number from -3 to 4 inclusive. What is the range of values of n^{2}?

(A) -9 ≤ n^{2} ≤ 16 (B) 9 ≤ n^{2} ≤ 16 (C) 3 ≤ n^{2} ≤ 4

(D) 0 ≤ n^{2} ≤ 2 (E) 0 ≤ n^{2} ≤ 16

(3) A is 3 times C. B is 8 less than C. For what value of C does A = B?

(A) -4 (B) 0 (C) 1 (D) 2 (E) 5/2

(4) In a class of 28 students, everyone likes math, English, or both. If 17 like math and 19 like English, how many like both?

(A) 2 (B) 8 (C) 16 (D) 20 (E) 28

(5) Let x = 3^{2}·5^{3}·7^{4} and y = 2^{3}·3·5^{2}. What is the greatest common factor of and y?

(A) 2· 3 · 5 · 7 (B) 2^{3 }· 3^{2 }· 5^{3 }· 7^{4 }(C) 3 · 5

(D) 3 · 5^{2} (E) 3^{2}·5^{3}

(6) The equation 2(3x + 8) = 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.

(7) In the formula V = s^{2}h, if s is doubled and h is tripled, then V is multiplied by

(A) 5 (B) 6 (C) 12 (D) 18 (E) 36

(8) You have 10 large boxes that can each hold 8 soccer balls, and 10 small boxes that can each hold 5 of the same soccer balls. If you have 99 soccer balls, what is the greatest number of boxes you can completely fill?

(A) 13 (B) 14 (C) 15 (D) 16 (E) 19

(9)

The straight line graph shows the relationship between number of hours worked and amount earned. How much would be earned for 50 hours of work?

(A) $50 (B) $83 (C) $120 (D) $150 (E) $300

(10) The perimeter of a triangle, all of whose sides have integer length, is 19. A possible length for the largest side is

(A) 6 (B) 8 (C) 10 (D) 15 (E) 17

(11) A value of x that satisfies the inequality 2x – 10 > 3x is

(A) -11 (B) -10 (C) -1 (D) 0 (E) 12

(12)

The midpoints
of the four sides of square ABCD are joined to form square WXYZ as shown. The area of square WXYZ is 16. The area of triangle YCX is

(A) 4 (B) 2 (C) 1.5 (D) 1 (E) none of these

(13) The mean of 3 numbers is 7. The mean of 4 other numbers is 8. The mean of 5 other numbers is 11. What is the mean of all 12 numbers?

(A) 4 (B) 4(2/13) (C) 8(2/3) (D) 9 (E) 36

(14) There were 20 socks in a drawer. Of these, 8 were blue, 10 were black, and 2 were white. Someone then removed 4 blue socks. If one sock is now drawn at random, what is the probability that it is not white?

(A) 1/10 (B) 9/10 (C) 1/8 (D) 7/8

(E) None of these

(15) Two sides of a right triangle are 3 and 4. The third side is

(A) 1 (B) 3 (C) 5 (D) 7 (E) not uniquely determined

(16) A cube 3 by 3 by 3 is painted red on all six faces and then cut into 27 smaller 1 by 1 by 1 cubes. How many of these new smaller cubes have exactly two faces that are painted red?

(A) 6 (B) 8 (C) 12 (D) 21 (E) 27

(17) If 2 blobs = 3 glops and 3 blobs = 2 chunks, then 1 chunk =

(A) 1 glop (B) 2/3 glop (C) 3/2 glops

(D) 4/9 glop (E) 9/4 glops

(18) and (19) The two pie charts show the ice cream flavor preferences of the students at two high schools.

(18) The ratio of Montague students who prefer vanilla to Montague students who prefer chocolate is

(A) 10:9 (B) 4:3 (C) 3:10 (D) 3:4 (E) 2:5

(19) If the number of Montague students who prefer vanilla is M and the number of Capulet students who prefer vanilla is C, then

(A) M > 2C (B) M = 2C (C) M = C (D) M < C

(E) The relationship cannot be determined from the given information

(20) If x is an integer, which one of the following must be odd?

(A) 3x + 1 (B) 3x + 2 (C) 4x - 1

(D) 4x - 2 (E) 5x – 2x

After having gone through the stuff given above, we hope that the students would have understood, "SHSAT Math Practice Test for 9th Graders".

Apart from the stuff given in this section "SHSAT Math Practice Test for 9th Graders", 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**