Pearl S. Buck Math Problems Grade 6 Based on PSSA Samples & PA Academic Standards for Math (Students should not use calculator for problems #1 and #2) 2.2.6 Computation and Estimation Numerical Estimation D. Estimate solutions of problems involving whole numbers and decimals and check the reasonableness of those estimates. 1. Tom wanted to buy some books written by Pearl Buck. The Good Earth cost $23.50 and The Big Wave cost $11.23. If he had $70.00 to spend, what is the closest estimate of how much money he will have left? A. B. C. D. $10 $20 $30 $40 $11.23 rounded to $10.00 $23.50 rounded to $20.00 $23.50 and $11.23 rounded to $30.00 correct 2.2.6 Computation and Estimation Numerical Estimation D. Estimate solutions of problems involving whole numbers and decimals and check the reasonableness of those estimates. 2. In 1928, Pearl Buck had $79.80 to spend on supplies in order to write The Good Earth. She had to buy the following supplies: Typewriter Paper Stapler Pencils Typewriter ribbons $23.88 $ 8.14 $ 4.59 $ 3.30 $16.20 What is the closest estimate of how much money she had left over after buying the items? A. B. C. D. $20.00 $21.00 $24.00 $26.00 rounded each to the nearest 5 rounded all numbers up correct rounded all numbers down 520 Dublin Road, Perkasie, PA 18944-3000 · 215-249-0100 · 215-249-9657 (fax) · www.pearlsbuck.org Welcome House® · Opportunity House · Pearl S. Buck House Pearl S. Buck Math Problems Grade 6 Based on PSSA Samples & PA Academic Standards for Math 2.1.6 Numbers, Number Systems and Number Relationships Place Value D. Apply place value concepts to order and compare decimals; use the number line to order and compare decimals, fractions, and mixed numbers. 3. When Pearl Buck was a child she liked to do calligraphy. She used several calligraphy brushes that weighed different amounts. Brush Brush Brush Brush 1 weighed 2 weighed 3 weighed 4 weighed 3.511 ounces 2.998 ounces 3.091 ounces 3.089 ounces Which brush has the greatest weight? A. B. C. D. Brush 1 Brush 2 Brush 3 Brush 4 correct 2.1.6 Numbers, Number Systems and Number Relationships Number Theory E. Apply number theory concepts to calculate the Greatest Common Factor and/or Least Common Multiple of two numbers. 4. A librarian is making a display of books written by Pearl Buck by placing the books on shelves. • The librarian has more than 20 books. • The librarian can put 8 books on each shelf with no books left over. • The librarian could also put 20 books on each shelf with no books left over. Which is the least number of books that the librarian could display? A. B. C. D. 28 books 40 books 80 books 160 books numbers from stem correct multiple of 8 and 20 multiple of 8 and 20 520 Dublin Road, Perkasie, PA 18944-3000 · 215-249-0100 · 215-249-9657 (fax) · www.pearlsbuck.org Welcome House® · Opportunity House · Pearl S. Buck House Pearl S. Buck Math Problems Grade 6 Based on PSSA Samples & PA Academic Standards for Math 2.3.6 Measurement and Estimation Calculations C. Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days. 5. Pearl Buck would sometimes need to travel from Green Hills Farm to her apartment in New York City in order to attend meetings about publishing her books. If she arrived at the New York City apartment at 8:30AM on May 18th and left the apartment on May 20th at 1:00 PM, how long did she stay in the apartment? A. B. C. D. 5 hours, 3 minutes 7 hours, 3 minutes 28 hours, 57 minutes 52 hours, 57 minutes 8:00 to 1:00 + 3 minutes 8:03 – 1 hour 8:03 to 1:00 + 1 day correct 2.3.6 Measurement and Estimation Calculations C. Use given measurements to calculate a missing length, perimeter, area, and/or volume; Calculate elapsed time across am/pm and across days. 6. Normally Pearl Buck would write for several hours every morning in her office. However on one day she began writing at 9:15 A.M. and finished at 10:08. She did not take any breaks during this time. How many minutes did she write on that day? A. B. C. D. 53 minutes 57 minutes 67 minutes 93 minutes correct 15-8=7; 50+7=57 10-9=1; 15-8=7; 1 hr 7 min = 67 min 10.08 – 9.15= 0.93 as 93 minutes 2.3.6 Measurement and Estimation Concept of Measurement A. Use models to illustrate the meaning of perimeter, area, and volume. 7. One of the Chinese Oriental rugs in Pearl Buck’s living room is 12 feet long and 10 feet wide. What is the perimeter of this carpet? A. B. C. D. 22 feet 44 feet 88 feet 120 feet 12 + 10 correct 22 x 4 sides 12 x 10 520 Dublin Road, Perkasie, PA 18944-3000 · 215-249-0100 · 215-249-9657 (fax) · www.pearlsbuck.org Welcome House® · Opportunity House · Pearl S. Buck House Pearl S. Buck Math Problems Grade 6 Based on PSSA Samples & PA Academic Standards for Math 2.9.6 Geometry Definitions, Properties, and Relations A. Identify, define, label and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties. 8. Mrs. Loris was a house keeper for Pearl Buck. She would sometimes call the many children to dinner by ringing an outside triangle that had angles of 90 degrees, 45 degrees and 45 degrees. What type of triangle would this be? A. B. C. D. 9. Acute Obtuse Scalene Isosceles correct There are many different shapes in the in the patterns of the Oriental Carpets in Pearl Buck’s house. Which shape has the greatest number of sides? A. B. C. D. Decagon Pentagon Heptagon Quadrilateral correct 5 sides 7 sides 4 sides 2.9.6 Geometry Definitions, Properties, and Relations A. Identify, define, label and/or describe properties of 1-, 2-, and 3- dimensional shapes and their related parts, and classify and compare 2- and 3- dimensional shapes on the basis of their properties. 10. One of Pearl Buck’s sons was trying to figure out her age. He wrote an equation to help him answer this question. Her age is represented by “m”. m – 12 = 35 Which operation solves the equation for “m”? A. B. C. D. Add 12 to both sides correct Subtract 12 from both sides Multiply both sides by 12 Divide both sides by 12 520 Dublin Road, Perkasie, PA 18944-3000 · 215-249-0100 · 215-249-9657 (fax) · www.pearlsbuck.org Welcome House® · Opportunity House · Pearl S. Buck House