# 4 What are and 31,100-19,876? (Two-part answer)

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1 1 What is 14+22? 2 What is 68-37? 3 What is ? 4 What are and 31,100-19,876? (Two-part answer) 5 What are 4 6, 7 8, and 12 5? (Three-part answer) 6 How many inches are in 4 feet? 7 How many centimeters are in 3 meters? 8 How many grams are in 10 kilograms? 9 What fractions are equal to 8/12, 6/12, and 9/15 in lowest terms? (Threepart answer) 10 Write the number (in digits) that is the answer to "fifty million minus two hundred thousand." 11 What are the names for polygons with five, six, and eight sides? (Threepart answer) 12 Write < or > over each to correctly complete each inequality: 3 5, 11 6, 11 20, 4 10, 8 6 (Five-part answer)

2 13 What are the names for the answers to multiplication, division, and subtraction problems? (Three-part answer) 14 What is 63 7? 15 What is ? 16 What is the name for an angle measuring more than 90 degrees, but less than 180 degrees? 17 What is the answer (including the remainder) when 2,461 is divided by 7? 18 What is ? 19 Of the whole numbers from 2 to 10, which ones divide evenly into 1,302? 20 What is ? 21 What is the name for a triangle with three different side lengths? 22 What is ? 23 What is ? 24 Convert the fractions 3/5, 5/1000, and 7/8 into decimal form. (Three-part answer)

3 25 What is divided by 1.7? 26 What decimal number equals seven one-thousandths minus two tenthousandths? 27 List the prime numbers between 20 and What fraction has a decimal form of 1.5 with a line above the 5? 29 A sweater sold for \$34.20, which was 25% off its original price. What was the original price of the sweater? 30 What whole numbers are closest to the square roots of 27, 48, 77, and 103? (Four-part answer) 31 What is ? 32 What is the area of a square whose perimeter is 36 inches? 33 What are the mean, median, and mode of 2, 1, 4, 6, 5, 2, 8, 9, 7, and 2? (Three-part answer) 34 What probabilities mean "impossible" and "certain?" (Two-part answer) 35 Add 5/6 and 7/8 and express the result as an improper fraction in lowest terms. 36 What is / 4

4 37 A pizza maker has three types of crust, five toppings, and four types of cheese. If a pizza consists of one crust, one topping, and one cheese, how many pizzas are possible? 38 What is the probability that a single roll of a standard six-sided die is not a 4? 39 What is the probability of flipping a coin and getting the same side three times in a row? 40 If Speedy Sue runs at 12 miles per hour for two hours and 25 minutes, how far will she go? 41 What is 3/4 divided by 9/2? 42 How many ways can five students line up in a single-file line for movie tickets? 43 What number is 20% less than the number that is 20% more than 600? 44 Write the number 567,000,000 in scientific notation. 45 What decimal number equals to ? 46 To the nearest cm, what is the radius of a circle whose circumference is 44 cm? 47 A person invests \$3600 in a savings account for one year and ends up with a balance of \$3762. What was the interest rate on the account? 48 What is the surface area of a rectangular brick that is inches?

5 49 If y = 3x 2 + 5x - 7 and x = -2, what is y? 50 If you flip a coin, draw a card, and roll a die, what is the probability that you flipped "heads," drew a club, and rolled and odd number? 51 Find all solutions of x + 3 = One leg of a right triangle is 15 cm, and the hypotenuse is 17 cm. How long is the other leg? 53 A circle has an area of 154 sq. cm. What is its diameter (to the nearest whole cm)? 54 What is the slope of a line that includes the points (2,3) and (6,5)? 55 If 3m + 4n = 18 and 4m + 3n = 59, what is m? 56 Simplify: (8) + (50) - (18) 57 Simplify: (50) (27) (6) 58 Find all solutions of x 2 + 8x -20 = 0 59 Simplify: (75) / (27) 60 What is the equation of the line that has an x-intercept of (3,0) and is perpendicular to the line y = 2x-5? Write the answer in the form y = mx + b.

6 36 Be sure to emphasize the importance of working neatly and lining up the digts. 31 Go over "regrouping" (we used to say "carrying") with your students. 211 Both of the previous comments apply here. 622 and 11,224 Talk about the importance of doing neat work and the technique of "regrouping" (formerly "borrowing") in the context of subtraction. 24, 56, and 60 If these are not automatic, it may be time for flashcard work inches in a foot, 3 feet (36 inches) in a yard meter = 100 centimeters (cm) or 1,000 millimeters (mm). A kilometer (km) equals 1,000 meters. 10,000 A kilogram is 1,000 grams, and is about 2.2 lbs. For that matter, a kilo-whatever is 1,000 whatevers. 2/3, 1/2, and 3/5 Look for common factors in the numerator and denominator, and then divide them out. 49,800,000 If your student struggles with this, review place value, especially thousand, million, billion, trillion (in that order). pentagon, hexagon, octagon Polygons: triangle (3), quadrilateral (4), pentagon (5), hexagon (6), heptagon (7), octagon (8), nonagon (9), decagon (10), undecagaon (11), dodecagon (12) <, >, <, <, > The smaller end of the symbol points to the smaller number (and vice versa). For example, 9 > 1.

7 product, quotient, and difference The answer to an addition problem is a "sum" or "total." Other good terms to know: remainder, divisor, and dividend. 9 Students who struggle here often benefit from additional multiplication flashcard work. 17,954 Review the standard multiplication procedure, and always work neatly and in columns. obtuse angle Acute: Between 0 and 90 Right: Exactly 90, Obtuse: Between 90 and 180 Straight: Exactly 180, Reflex: Between 180 and Rem. 4 Review the standard long division procedure. 30 Remember the "order of operations." Parentheses, Exponents, Multiplication/Division/, Addition/Subtraction. This problem becomes , 3, 6, and 7 See math.about.com/library/bldivide.htm for a refresher on divisibility rules Simply move the decimal point one place to the right for each 0 in scalene triangle Equilateral triangle: all sides equal; all angles 60. Isosceles triangle: two sides (and two angles) equal. Scalene triangle: no sides or angles equal Be sure to line up the numbers on the decimal point and fill in blank spaces with 0 as necessary. Then proceed as usual Same advice as for previous problem. 0.6, 0.005, Divide the bottom number (denominator) into the top number (numerator).

8 27.2 Change the 1.7 to 17 by multiplying both numbers by 10. Then divide as usual Review place value for decimal: tenth, hundredth, thousandth, ten-thousandth, hundred-thousandth, millionth, ten-millionth, hundred-millionth, billionth. 23, 29, 31, and 37 Prime numbers: Whole numbers with just two different factors: 1 and themselves. Composit numbers: product of two or more prime numbers. 14/9 Recall that a line over a number means "repeating," so this is describing , or 1 5 / 9, which is 14/9. \$45.60 If we took 25% off, the price we paid is 3/4 of the original price. Therefore, the original price is 4/3 of what we paid, and 4/3 times \$34.20 is \$ , 7, 9, and 10 These numbers are close to 25, 49, 81, and 100, respectively. All of those are perfect squares (of 5, 7, 9, and 10). 105 See for a good tutorial on exponents. 81 sq. in. The perimeter is the sum of the side lengths, so each side of the square must be 9 in. The area of a square is the side length times itself, and 9 times 9 is 81. mean = 4.6, median = 4.5, and mode = 2 impossible = 0, and certain = 1 Mean: add 'em up and divide by number of numbers. Median: Middle number when list is sorted (averaged for an even number of numbers). Mode: most common number. See for a basic probability tutorial. 41/24 See for a review of the "common denominator" technique Remember "order of operations." Review negative numbers at

9 60 This is the "counting principle." Simply multiply 3, 5, and 4 together. 5/6 See for a basic probability tutorial. 1/4, or 0.25 It doesn't matter how the first flip lands. The probability that the second matches is 1/2, and the probability that the third matches is 1/2. Finally 1/2 times 1/2 is 1/4. 29 miles Multiply 12 by 2 25 / 60 or 2 5 / 12. 1/6 Division is the opposite of multiplication, so flip the second fraction and multiply across. For details, see: There are 5 ways to pick the first student. Then there are 4 ways to pick the second, 3 ways to pick the third, and 2 ways for the fourth. Simply multiply 5, 4, 3, and 2 to get Multiply 600 by 1.2 and the result by See for a tutorial on scientific notation See for a tutorial on scientific notation. 7 cm Area of a circle = πr 2, and π is approximately 22/7 or % The investment earned \$162 in interest, and \$162 divided by \$3600 is 0.045, or 4.5%. 164 sq. in. Two sides are 3 by 4, two are 3 by 10, and two are 4 by 10. Multiply and add to get the total.

10 -5 Simply plug in the value -5 for x and evaluate. The problem reduces to , which is -5. 1/16 The respective probabilities are 1/2, 1/4, and 1/2. Multiply to get the answer, 1/16. x = 15 and x = -21 There are two possibilities: either x + 3 = 18 or x + 3 = -18. To review absolute value, go to 8 cm The Pythagorean Theorem: a = This then becomes a = 289. Therefore, a 2 = 64, and a = cm Area of a circle = πr 2, and π is approximately 22/7 or The diameter is twice the radius. 1/2 The slope is the change in Y divided by the change in X: (5-3)/(6-2) = 1/2 26 Adding the two equations gives 7m + 7n = 77, so m+n = 11. Therefore, 3m + 3n = 33. Since 4m + 3n = 59, the extra m must be 59-33, or (2) Begin by noting that this reduces to 2 (2) + 5 (2) - 3 (2). Go to and scroll down to Simplifying Square-Root Terms for details. 90 Multiply to obtain (8100). This equals 90, because 90 times itself is x = 2 and x = -10 See for information on factoring quadratics. 5/3 Begin by noting that this reduces to 5 (3) + 3 (3). Go to and scroll down to Simplifying Square-Root Terms for details. y = (-1/2)x Perpendicular lines have slopes that are negative reciprocals of each other. For more information, see

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