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Neshaminy School DistrictMATHEMATICSSummer Review Packet for Students Entering 6th gradeDear Parent/Guardian,This packet is meant to provide your child with a review of the material your child learned in his/her 5th grade math course. Your child should work through the following pages and SHOW ALL work. Please do not allow them to use a calculator. Encourage your child to work through the problems on their own and to do their best. At the start of the school year, your child should turn this completed packet in to the sixth grade math teacher.Packet Entering 6th gradeRevised May 2015 Place Value System Whole NumbersWrite the value of the underlined digit37,462,117 2) 815,392,005_________________________________________________Write the number using words3) 45, 872 _______________________________________________________________ 4) 102, 056 _____________________________________________________________Use < > to compare5) 104, 430 _____ 104, 2926) 56, 329 _____ 51, 8457) Order the numbers from least to greatest 4,801 4,299 4,086 493_______________________________________________________________________Round each number to the nearest tens8) 72 _____9) 157________10) 3246 _______Round each number to the nearest hundreds11) 723 _______12) 3,782 __________13) 12, 619 __________Round each number to the nearest thousand14) 7, 382 __________15) 106, 974__________16) 5,372, 029_____________Pg 1Operations with Whole NumbersFind the product of each problem. 326 x 52. 18 x 12 1,420 x 254. 410 x 215Find the quotient for each problem 8346 ÷ 36. 1,287 ÷ 97. 420 ÷ 128. 5,345 ÷ 109. 4,328 ÷ 810. 2,304 ÷ 24Pg2Decimals Write in order from least to greatest 8.71 8.352 8.09 8.6_________________________________________________________________________ Identify the place value of the underlined digit 4.723 _____________________ Identify the place value of the underlined digit 12. 064 Perform the following operations involving decimals. 1.637 + 2.55. 25.08 + 4.2566. 75.4 x 57. 1.63 x 2.48. 0.005 x 809. 0.6 x 1.7310. 6.18 ÷ 611. 34.65 ÷ 912. 20.72 ÷ 813. 2.16 ÷ 3pg3FractionsWrite each fraction in simplest form 6102. 515 3. 8124. 33121Write each mixed number as an improper fraction 1 186. 2 347. 5 238. 4 47Write each improper fraction as a mixed number 9. 12710. 21411. 30712. 236Add or subtract. Write you answer in simplest form.13. 47 + 2714. 38 + 3815. 910 - 5 10Hint don’t forget the common denominator for the following problems.16. 25 + 31017. 14 + 5818. 317 + 2 1219. 79 - 1320. 910 - 2521. 6 45 - 2310Pg4Fractions Part IIFind the product or quotient. Write your answer in simplest form.22. 56 x 1523. 49 x 91024. 1 13 x 234Hint ….when you divide fractions you must find the reciprocal (flip the 2nd fraction)25. 710 ÷ 15 26. 1112 ÷ 2927. 312 ÷ 118Number Theory List all factors of 48 ____________________________________________________List the first five multiples of 6 ____________________________________________Find the GCF (greatest common factor) of 16 and 24 _________________________Find the LCM (least common multiple) of 8 and 10___________________________ Which of the following numbers is prime? 6, 10, 13, 18 __________________Write the rule for the pattern 6, 16 , 26, 36 , ……_________________________________________________________________________Write the rule for the pattern 5, 21, 85, 341,….._________________________________________________________________________pg5PreAlgebra ConceptsWrite the following word phrases using numbers and mathematical symbols Twenty added to twelve_________________2. The difference of eight and four___________3. The product of nine and four_____________ 4. The quotient of ten and five_____________Simplify the following. 5. 3 + 2 x 8 ÷ 4 6. 48 ÷ (10 – 4) + 2Unit Conversion7. 10 days = __________ hours8. 420 min = _______ hours9. 7 feet = _________ inches10. 12 yards = ________feet11. 200 cm = ______m12. 3 Liters = ________ml13. 5 lb = ______oz14. 8 cups = _________ptPg6GeometryIdentify the following shapes or three dimensional figures.5829300213360294322581915006572256286500 2. 3.__________________________________________________657225207645 5. 6. 55149751987553257550113030___________________________________________________________3209925673100059531256731000895350274955 7. 8. 9. ______________________________________________________________48291751847850031432540386000272415040767000Find the Perimeter of each shape. 10.11. 12. Pg 7 Geometry Part II426720051435024765005619756134100323850Formulas20002529210Rectangle A = lwSquare A = lwParallelogram A =bh Triangle A = b x h249530023749000Find the Area of Each Figure46374051727200023145753937000 2. 3. 32950152489200061214037274500 6. 5267325183515003810000698500All angles in a triangle add to 180°Find the unknown angle measure in each triangle.GEOMETRY Part IIIVolume Formula Rectangular Prism V = lwh38576252286000069532532385000Volume =______________Volume= ________________1905057023000Complementary Angles add to 90°. Find the missing angle measure in each drawing below.Pg 9 ................
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