Section 1: Decimal Numbers

Transcription

1 Name Date Section 1: Decimal Numbers 1) Write the place value of the underlined digit in the number 13,456. ) Write in words. 3) Write one hundred three and fifteen hundredths. 4) Use >, <, or = to compare: ) Use >, <, or = to compare: ) Order the numbers from least to greatest: 3.1; 0.31; 3.1; 0.3;.31 8) Round to the nearest tenth. _ 9) Round to the nearest hundredth. _ 10) Find the sum: ) Find the sum: ) Find the difference: ) Find the difference: _ 7) Round to the nearest whole number. 14) Find the difference: Pre-Course 7 th Grade Packet Problems Edited Spring 13 3

2 15) Find the product: 5.3 x 8 18) Find the quotient: ) Find the product: 1.7 x ) Find the quotient: ) Find the product: 3.4 x.7 x 5 Section : Integers and Order of Operations 0 3; Simplify. 7) 7( 11) 0) 5 + ( 3) 8) ) ) 8 + ( 4) 9) ) 5 (10 + ) 4 3) ) 3 ( 5) 31) ( 8) 4 5) 17 ( 16) 3) ( )(6 4) 6) 6 ( 8) Pre-Course 7 th Grade Packet Problems Edited Spring 13 4

3 Write answers in simplest form. Section 3: Fractions 36) Find the sum: Simplest form?? Could you think through the steps necessary to reduce a fraction to its simplest form? Yup! Here goes! Just find the largest number (the GCF) that can divide into both the numerator and denominator, and then divide. So, to reduce 6 18, divide the numerator and denominator by 6, like this: _ 37) Find the sum: ) Find the sum: _ 33) Write 7 1 in simplest form. 39) Find the difference: ) Write 68 1 as a mixed number. 40) Find the sum: _ 35) Write as an improper fraction. 41) Find the difference: The key to... changing a mixed number into an improper fraction is easy! Just multiply the denominator by the whole number. Then add that product to the numerator, and write that sum over the original denominator. Pre-Course 7 th Grade Packet Problems Spring 13 5

4 4) Find the product: ) Find the unit rate for 40 calories in 6 servings. 43) Find the product: ) Find the unit rate for $19.50 for 3 T- shirts. _ 44) Find the quotient: ) Find the quotient: ) Do the ratios form a proportion? 5, ) Do the ratios form a proportion? 8 5, ) Complete the chart. Section 4: Percent Fraction Decimal Percent % Pre-Course 7 th Grade Packet Problems Spring 13 6

5 Section 5: Data Interpretation and Probability 51) Find the mean, the median, the mode, and the range for the following data. Round answers to the nearest tenth. 16.5; 8.43; ; 18.1; 19.05; 3.70; 7; 1.49; ; 17.4; 5 mean: median: mode: range: 5) A jar contains 4 red marbles, 3 yellow marbles, black marbles, and 1 green marble. You select a marble without looking. Find each probability: c) P(green) d) P(yellow or green) e) P(orange) 53) You toss a coin two times. Find the theoretical probability of getting heads on both tosses. Jason, what an excellent question! To find experimental probability, just divide the number of times an event occurs by the number of times the experiment is done. To find the theoretical probability, just divide the number of favorable outcomes by the number of possible outcomes. a) P(red) b) P(black) Section 6: Geometry 54 74; Draw and label the geometric figures with a straightedge or ruler. 54) Segment BC 58) Three non-collinear points M, N, and P 55) Ray DE 59) Parallel lines QR and ST 56) Line GH 60) Acute angle ABC 57) Three collinear points I, J, and K 61) Obtuse angle NOP Pre-Course 7 th Grade Packet Problems Spring 13 7

6 6) Right angle QRS 70) Regular hexagon ABCDEF 63) Straight angle TUV 71) Irregular pentagon BCDEF 64) Equilateral triangle DEF 7) Trapezoid STUV 65) Isosceles triangle FGH 73) Rhombus KLMN 66) Scalene triangle LMN 74) Parallelogram DEFG 67) Acute triangle XYZ 68) Obtuse triangle HIJ 75 80; Use sometimes, always, or never to complete each sentence. 75) Four points are collinear. 76) A ray has two endpoints. 69) Right triangle WXY 77) A segment has two endpoints. Pre-Course 7 th Grade Packet Problems Spring 13 8

7 78) Parallel lines intersect. 79) Skew lines intersect. 83) Find the circumference of a circle with a diameter of 1m. Use the π button your calculator. Round to the nearest hundredth. 80) A line contains an infinite number of points. 81) Find the area of a parallelogram with a base of cm and a height of 8.1 cm. _ 84) Find the area of a circle with a radius of 8 mm. Use the π button on your calculator. Round to the nearest hundredth. _ 8) Find the area of a triangle with a height of 5 inches and a base of 16 inches. Section 7: Unit Conversions 85) 55 mi = ft 89) 7.5 cm = mm 86) 6 gal = fluid ounces 90) 6,800 ml = L 87) 5,648 lb = T 88) 3,070 mm = m Pre-Course 7 th Grade Packet Problems Spring 13 9