SSAT <- Upper Level SSAT <- 2012 SSAT Practice Test - Quantitative (Math) Section 2012 SSAT Practice Test - Quantitative (Math) Section Share Quiz Get Embed Code Copy the code below to embed this quiz on your website: <iframe src="https://tutorone.ca/practice-test/?embed=true" width="100%" height="800" style="border: none; max-width: 100%;" data-source="tutorone" allowfullscreen></iframe> Copy Code 12345678910111213141516171819202122232425 2012 SSAT Practice Test - Quantitative (Math) Section 1 / 25 Directions: Any figures that accompany questions in this section may be assumed to be drawn as accurately as possible EXCEPT when it is stated that a particular figure is not drawn to scale. Letters such as t, y and n stand for real numbers. Each question consists of a word problem followed by four answer choices. You may write in your test booklet; however, you may be able to solve many of these problems in your head. The average of three numbers is 5. What is three times the sum of the three numbers? 6 15 30 45 90 If the average of three numbers is 5, then the SUM ÷ 3 = 5. Therefore, the SUM of the three numbers is 5 x 3 = 15. Three times the SUM of 15 is 45. 2 / 25 How many factors does the number 15 have? 2 3 4 6 \(15\) has factors that divide it evenly. These are: \(1, 3, 5,\) and \(15\), which gives a total of 4 factors. 3 / 25 John owns \(\frac{1}{3}\) of the CDs in the collection. If there are a total of 180 CDs, how many does John own? 20 40 60 120 To find how many CDs John owns, multiply the total number of CDs by \(frac{1}{3}\): \(frac{1}{3} times 180 = 60\). So, John owns 60 CDs. 4 / 25 What is the perimeter of an equilateral triangle, one side of which measures 6 inches? 18 inches 12 inches 6 inches 3 inches It cannot be determined. An equilateral triangle has three equal sides. The perimeter is the sum of all the sides: \(6 + 6 + 6 = 18\) inches. 5 / 25 Tyler, Sharice, and James want to put their money together in order to buy a $360 radio. If Sharice agrees to pay twice as much as James, and Tyler agrees to pay six times as much as Sharice, how much will Sharice contribute? $30 $48 $90 $150 $180 Let James's contribution be \(J\). Sharice pays twice as much as James: \(S = 2J\). Tyler pays six times as much as Sharice: \(T = 6S = 12J\). The total is \(J + S + T = 360\). Substituting: \(J + 2J + 12J = 360\), so \(15J = 360\), which gives \(J = 24\). Thus, Sharice pays \(2 times 24 = 48\) dollars. 6 / 25 The price of a jacket is reduced by half, and the resulting price is then reduced by 10%. The final price is what percentage of the original price? 10% 40% 45% 55% 60% Let the original price be \(x\). After a 50% reduction, the price becomes \(0.5x\). After a further 10% reduction, the price becomes \(0.5x - 0.1(0.5x) = 0.45x\), which is 45% of the original price. 7 / 25 In a jar of gumdrops, the ratio of green gumdrops to red gumdrops is 9:5. If only green and red gumdrops are in the jar and the total number of gumdrops is 56, how many green gumdrops are in the jar? 5 8 15 28 36 Let the number of green gumdrops be \(9x\) and the number of red gumdrops be \(5x\). The total is \(9x + 5x = 56\), so \(14x = 56\), which gives \(x = 4\). Therefore, the number of green gumdrops is \(9 times 4 = 36\). 8 / 25 A stop sign has eight equal sides and a perimeter of 96 inches. What is the length of each individual side? 2 4 8 12 It cannot be determined. The perimeter is the sum of all the sides. Since all sides are equal, divide the perimeter by the number of sides: \(96 div 8 = 12\) inches per side. 9 / 25 Two cardboard boxes have equal volume. The dimensions of one box are 6 × 6 × 10. If the length of the other box is 3 and the width is 10, what is the height of the second box? 2 5 10 12 16 Volume = length × width × height. The volume of the first box is \(6 times 6 times 10 = 360\). The volume of the second box is \(3 times 10 times text{height} = 360\). Solving for height gives \(text{height} = 12\). 10 / 25 At a fund-raiser, 500 people each donated y dollars. In terms of y, what was the total number of dollars donated? 500 500y 500/y 500 + y Since each of the 500 attendees donated the same dollar amount, the total amount donated is the product of 500 and y, \(500 times y\). 11 / 25 Using the formula \(A = p + prt\), find A when \(p = 500\), \(r = 0.08\), and \(t = 2.5\). 700 600 550 500 450 Substitute the values \(p = 500\), \(r = 0.08\), and \(t = 2.5\) into the formula: \(A = 500 + 500 times 0.08 times 2.5 = 600\). 12 / 25 Triangles ABE and ACD are similar. If CB = 6, BA = 4, and EA = 6, find the length of DE. 9 15 4 1 8 Corresponding parts of similar triangles are in proportion. Using the ratios: \(frac{4}{6} = frac{x}{6}\), solving gives \(x = 9\). 13 / 25 The expression \((3K^3)^2\) is equivalent to 9K^6 27K^6 27K^5 9K^5 3K^5 \((3K^3)^2 = (3^2)(K^3)^2 = 9K^6\). 14 / 25 Find the value of y in the proportion \(\frac{30}{48} = \frac{5}{y}\). 3/8 3 15 8 8 1/3 Cross-multiply: \(30y = 48 times 5\). Solving for y gives \(y = 8\). 15 / 25 If \(\frac{5}{x}\) is subtracted from \(\frac{3}{x}\), the result is 2 8/x -2/x 2/x 2/x^2 \(frac{3}{x} - frac{5}{x} = frac{-2}{x}\). 16 / 25 The markdown price of a computer game was $22.97, which represented 50% of the original selling price. What was the original selling price? $27.56 $42.35 $45.94 $49.00 $45.35 If 50% of the original price is $22.97, then the original price is \(frac{22.97}{0.5} = 45.94\). 17 / 25 Use this chart to answer the question: Freddie's weekly net income is $480. He spends 50% on food, 25% on rent and utilities, 7% on entertainment, and 5.3% on clothing. How much money does Freddie spend on miscellaneous items each week? $43.05 $19.05 $130.95 $18.55 $60.96 The total percentage for food, rent, utilities, entertainment, and clothing is 87.3%. Miscellaneous expenses make up the remaining 12.7%. Therefore, the amount spent on miscellaneous is \(0.127 times 480 = 60.96\). 18 / 25 What is the x-intercept of the line described by the equation \(y = 4x + 5\)? 5 -5 -5/4 -4/5 0 The x-intercept occurs when \(y = 0\). Setting the equation equal to 0: \(0 = 4x + 5\). Solving for x gives \(x = -frac{5}{4}\). 19 / 25 What is 60 expressed as the product of its prime factors? (5) (13) (5) (12) (5) (3) (2) (2) (4) (4) (3) (15) (6) To break a number into its prime factors, break it into factors, and break those factors into factors, until you cannot go any further. It doesn't matter what factors you begin with. You will reach the same prime factors. \(60 = 5 times 2 times 3 times 2\). 20 / 25 If \(|6a - 2| = 3\), what is a possible value of \(a\)? 7 -3 29 -1/3 5/6 There are two cases to solve:Case 1: \(6a - 2 = 3\) leads to \(6a = 5\), so \(a = frac{5}{6}\).Case 2: \(6a - 2 = -3\) leads to \(6a = -1\), so \(a = -frac{1}{6}\). The correct solution is \(frac{5}{6}\). 21 / 25 Dinner (plus tax and tip) cost $145.60. The tax rate is 10% and Mr. Simmons left a 20% tip. Both tax and tip are calculated on the base amount of the check. What was the base amount of Mr. Simmons's bill? $78.00 $113.32 $77.41 $112.00 $81.30 The total of $145.60 represents 130% of the base amount (100% base + 30% tax and tip). Therefore, divide $145.60 by 1.3 to get the base amount: \(frac{145.60}{1.3} = 112.00\). 22 / 25 What is the area of a square whose diagonal is 8? 32 24 18 12 6\sqrt{2} If the diagonal of a square is 8, by the Pythagorean Theorem, the side length of the square is \(frac{8}{sqrt{2}} = 4sqrt{2}\). The area of the square is then \((4sqrt{2})^2 = 32\). 23 / 25 Which fraction lies between \(\frac{2}{3}\) and \(\frac{4}{5}\)? \(\frac{5}{6}\) \(\frac{17}{20}\) \(\frac{7}{10}\) \(\frac{13}{15}\) \(\frac{9}{10}\) Converting the fractions to decimals: \(frac{2}{3} approx 0.666\) and \(frac{4}{5} = 0.8\). The fraction \(frac{7}{10}\) equals 0.7, which lies between 0.666 and 0.8. 24 / 25 The circumference of a circle whose diameter is 9 inches is approximately: 2 inches 28 inches 38 inches 154 inches 14 inches Use the formula for the circumference of a circle: \(C = pi d\), where \(d = 9\). So, \(C approx 3.14 times 9 = 28.26\) inches. 25 / 25 Josie bought 10 shares of Zariche Toy Co. stock at $180 per share on Monday and sold them at $240 per share on Friday. What was Josie's profit on this investment? $60 $96 $600 $960 None of the above. First, calculate the cost of buying the shares: \(10 times 180 = 1,800\). Then calculate the amount she received from selling them: \(10 times 240 = 2,400\). Finally, subtract the two: \(2,400 - 1,800 = 600\). Josie's profit was $600. Your score is Follow us on socials! LinkedIn Facebook Twitter 0% Restart quiz Send feedback More Quizzes SSAT Verbal Diagnostic Test 1 - Free SSAT Practice Test Take Quiz Free SSAT Upper Level Math Practice Test 1 - 2011 - Math Achievement Take Quiz 2014 SSAT Free Practice Test - Quantitative Section Questions with Answers + Explanations Take Quiz 2012 SSAT Practice Test - Mathematics Achievement (Quantitative Reasoning 2) Take Quiz 2013 SSAT Verbal Section Practice Questions with Answers Take Quiz 2015 SSAT Practice Test - Reading Comprehension with Answers and Explanations Take Quiz SSAT 2015 Quantitative Practice Test Take Quiz 2013 SSAT Reading Comprehension Practice Test Questions with Answers Take Quiz
