Student Name: _______________________________________________ Incoming 6th Grade Math Summer Work June 9-13 Complete the multiplication Table June 23-27 Find the Sum. 1) 95 + 37 3) 406.67 + 95.43 2) 44 + 87 4) 614.1 + 196.35 Find the Difference. 5) 95 – 37 6) 82 – 49 7) 406.79 – 95.36 8) 500.00 – 315.75 Find the Product or Quotient. 9) 29 x 31 10) 140 x 15 11) 74.4 ÷ 6 12) 418 ÷ 0.2 Study Multiplication Tables: two’s through twelve’s. Complete Multiplication and Division Practice pages attached. For each question that has a box around it, you need to write out an explanation on how you solved the problem. This explanation must be a detailed description of how to solve the problem. June 16-20 Identify the place value of the bold digit. 1) 27 5) 3460 2) 56 6) 9601 3) 197 7) 23,711 4) 813 8) 10,872 Round the number to the place value of the bold digit. 9) 16 10) 31 11) 257 12) 1909 Describe the pattern. Then find the next two numbers. 13) 1, 4, 7, 10, ___, ___ 14) 55, 50, 45, 40, ___, ___ 15) 3, 6, 12, 24, ___, ___ June 30 - July 4 Estimate the sum or difference. 1) 27 + 64 2) 180 + 914 3) 91 – 49 4) 612 – 83 Estimate the product or quotient. 5) 879 x 31 6) 193 x 4 7) 970 ÷ 4 8) 213 ÷ 68 Write the product as a power. 9) 8 x 8 x 8 10) 6 x 6 x 6 x 6 11) 20 x 20 12) 7 x 7 x 7 x 7 x 7 Write the power as a product. 13) 112 14) 54 15) 6 squared Student Name: _______________________________________________ July 7-11 Evaluate the expression using order of operations. 1) 9 – 7 + 3 2) 8 + 4 x 3 3) 24 – 8 x 2 + 9 4) 21 - 42 5) 12 ÷ (4 – 1) 6) 4 x (6 – 1) 2+18 7) 6 + 1 x 52 8) 9−4 Evaluate the expression. 9) s + 9, when s = 7 10) x – 3, when x = 8 11) 6n, when n = 11 12) m ÷ 4, when m = 32 July 14-18 Graph the points on the graph paper below. 1) A (2, 3) 4) D (5, 0) 2) B (-4, -5) 5) E (0, 7) 3) C (3, -6) 6) F (-1, 2) July 21-25 Find the Greatest Common Factor of the numbers. 1) 14, 35 2) 12, 20, 30 3) 24, 48, 72 4) 12, 54, 5) 32, 40 6) 12, 21, 30 Find the Least Common Multiple of the numbers. 7) 2, 3 8) 3, 5 9) 8, 10 10) 2, 3, 5 9) 4, 9, 24 10) 3, 6, 9 Tell whether the number is prime or composite. 11) 11 12) 13 13) 14 14) 35 15) 29 16) 16 List all the factors of the number. 17) 4 18) 10 19) 27 20) 36 21) 100 July 28- August 1 Define the following vocabulary words: Sum Product Factors Difference Quotient Dividend Divisor Prime Number Composite Number Greatest Common Factor Least Common Multiple List the Order of Operations Power (exponent) Numerator Denominator Student Name: _______________________________________________ Multiplication Practice 3x1= 3x6= 3x5= 3x9= 3x2= 3x0= 3x7= 3x4= 3x8= 3x9= 3x2= 3 x 10 = 3x9= 3x0= 3x6= 3x5= 3x1= 3x3= 3x2= 3 x 4= 3x3= 3x1= 3x8= 4x4= 6 x 11 = 3x0= 4x6= 6x4= 3x7= 4x5= 6x9= 3x5= 4x2= 6 x 10 = 3x9= 4x8= 6x1= 3x6= 4 x 11 = 6 x 11 = 3 x 10 = 4x8= 6x7= 3x2= 4x6= 6x9= 4x2= 4x5= 6x3= 4x4= 4x3= 6x5= 4x6= 4 x 12 = 6x2= 4x8= 4x4= 6x6= 4 x 10 = 4x7= 6x8= 4 x 12 = 4x9= 6x0= 4 x 11 = 4 x 10 = 6 x 12 = 4x9= 6x3= 6x4= 4x7= 6x2= 6x2= 4x5= 6x5= 6x3= 4x3= 6x8= 6x5= 4x1= 6 x 12 = 6x8= 4 x 12 = 6 x 10 = 6x6= 4x9= 6x0= 6x9= 4x7= 6x4= 6x7= Student Name: _______________________________________________ 7x1= 7x5= 8x7= 12 x 3 = 7x4= 7x2= 8x9= 12 x 7 = 7x9= 7 x 10 = 8 x 12 = 12 x 10 = 7x6= 7x8= 8x6= 12 x 10 = 7 x 11 = 7x4= 8x3= 12 x 7 = 7x2= 7x0= 8 x 11 = 12 x 6 = 7x5= 8x3= 8x9= 12 x 5 = 7x7= 8x8= 8 x 10 = 12 x 0 = 7 x 12 = 8x1= 8x1= 12 x 8 = 7x3= 8x6= 12 x 1= 12 x 4 = 7x5= 8x7= 12 x 3 = 12 x 9 = 7x8= 8 x 10 = 12 x 12 = 12 x 11 = 7x6= 8x4= 12 x 7 = 5x3= 7x0= 8x5= 12 x 8 = 10 x 6 = 7x3= 8x9= 12 x 10 = 10 x 9 = 7x9= 8x5= 12 x 2 = 5x9= 7 x 12 = 8x0= 12 x 0 = 10 x 0 = 7 x 11 = 8x9= 12 x 5 = 10 x 10 = 7x4= 8 x 11 = 12 x 6 = 5x5= 7x1= 8x4= 12 x 9 = 10 x 7 = 7x7= 8x8= 12 x 11 = 5x2= 7x3= 8x3= 12 x 4 = 5x8= 7x6= 8x7= 12 x 5 = 10 x 5 = 7x9= 8 x 12 = 12 x 12 = Student Name: _______________________________________________ Know the Division Steps 1) Divide the divisor into dividend Quotient (answer) 15 3045 Divisor Dividend 2) Multiply the answer in the quotient and the divisor, place it under the dividend 2 15 3045 -30 3) Subtract the number place under the dividend 203 15 3045 -30 004 -000 4) Bring down the next number in the dividend 0045 - 0045 0000 5) Repeat the steps until solved 2 x 15 = 30 0 x 15 = 0 3 x 15 = 45 Example of Division with Remainder: 203 15 3046 -30 004 -000 46 - 45 1 1 15 Remainder is written as a fraction: 2 x 15 = 30 0 x 15 = 0 3 x 15 = 45 𝑟𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟 𝑑𝑖𝑣𝑖𝑠𝑜𝑟 Student Name: _______________________________________________ Division Review 1) 17 3 4 0 11) 9 8 1 1 1 2) 25 1 5 5 12) 5 1 2 5 3) 34 2 0 6 13) 6 3 6 0 4) 20 1 6 0 14) 10 1 5 0 5) 8 3 2 4 5 15) 25 1 5 0 6) 8 3 2 4 0 16) 4 1 6 8 7) 12 1 4 4 17) 2 1 2 0 8) 12 1 4 9 18) 7 3 5 0 9) 16 3 2 19) 8 4 8 2 10) 9 8 1 9 20) 5 9 6 2