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1.1 The areas of two circles are 256pi and 225pi square units. How many units are in the sum of the circumferences of the two circles? Leave pi in your answer 1.1 answer 62pi 1.2 What is the one’s digit in the sum 3+ 2 3 3+ 5 5 ? 1.2 Answer 0 1.3 If 3(2x – 5) = 4 – x, what is the value of x written as a mixed number? 1.3 answer 5 2 7 1.4 Zaki borrowed 15 quarters from Lars. The next day Zaki gave Lars 53 nickels. If Zaki pays the remainder in dimes, how many dimes does he owe Lars? 1.4 answer 11 1.5 If a b 3ab a , find 4 5. 3 2 1.5 answer 1484 2.1 If a side of the square is 8 units and the hypotenuse of the right triangle is 17 units, how many units are in the perimeter of the trapezoid shown in the figure? 2.1 answer 56 2.2 Evaluate 5 2 (5 2) 3 3 2.2 answer 1040 2.3 Solve for x. x 9 16 4 9 16 2.3 answer 56 2.4 The lengths of three sides of a square total 66 cm. If a circle is inscribed in the square, find the area of the circle in square cm. Leave pi in your answer. 2.4 answer 121 2.5 Evaluate 1 + 2 – 3 + 4 + 5 – 6 + … + 13 + 14 - 15 2.5 answer 30 3.1 What is the sum of the terms in the sequence of numbers -32, -30, -28, …, 36, 38 ,40 3.1 answer 148 (There are 17 pairs with sum of 8 so 17*8 = 136. Then 6, 4, 2 remain making + 12. 136+12 = 148) 3.2 • How many positive multiples of three that are not even integers are less than 100? 3.2 answer 17 (count # of odd mults of 3 from 3 to 99) 3.3 What time will it be 4860 seconds after 8:40 p.m.? 3.3 answer 10:01 p.m. (4860 div by 60 = 81 minutes = 1 hr 21 mins 8:40 + 1:21 = 10:01) 3.4 How many positive integers factors does 5400 have? 3.4 answer 48 Prime factor: 5400 = 33 x 23 x 52 Exponents + 1 each = 4, 4, 3 Multiply: 4x4x3 = 48 3.5 How many diagonals are in a 24-gon? 3.5 answer 252 24(23) div by 2 = 276 276 – 24 = 252 4.1 The area of a triangle is 75 square inches. What is the length of the base in inches if the height is 12 inches? 4.1 answer 1 25 12.5 or 12 or 2 2 4.2 Meghana flips a coin four times. If order does not matter, what is the probability that she gets two heads and two tails? 4.2 answer 3 8 4.3 What is the sum of the mode and the median of the numbers listed below? 88, 85, 81, 75, 78, 81, 88, 95, 93, 81, 90 4.3 answer 166 4.4 If 11a + 4b = 99 and 6a + 13 b = 37, what is the value of a+b? 4.4 answer 8 4.5 The circumference of a circle is 12pi cm. Find the radius of the circle rounded to the nearest square cm. 4.5 answer 6 Extra #1 The length of a side of a regular octagon is what percent of its perimeter? Extra 1 - answer 12.5% Extra #2 What is the sum of the number of all edges and vertices for a square-based pyramid? Extra #2 - answer 13