SPS Math Diagnostic – Pre Grade 5 Answer Key Contents Place Value ............................................................................................................ 2 Decimals ................................................................................................................ 3 Fractions ................................................................................................................ 3 Parts of a Whole .................................................................................................... 4 Finding Numbers on a Number Line ....................................................................... 4 Addition ................................................................................................................. 5 Subtraction ............................................................................................................ 5 Multiplication ........................................................................................................ 6 Division .................................................................................................................. 6 Patterns ................................................................................................................. 7 1 SPS Math Diagnostic – Pre Grade 5 Answer Key Place Value 1. What number is shown by the blocks? 420 2. What is the value of the underlined digit? a) 986 b) 1986 c) 21986 80 900 1000 3. Fill in the empty spaces on the table Standard Form Expanded Form In Words 23 20 + 3 Twenty three 2457 2000 + 400 + 50 + 7 Two thousand four hundred fifty seven 9802 9000+800+2 Nine thousand eight hundred two 2 SPS Math Diagnostic – Pre Grade 5 Answer Key Decimals 1. What decimal would describe the shaded part of the diagram? b) 0.75 0.5 2. Colour the blocks to show the indicated decimal numbers: a) 0.4 3. Use <, >, or = to make the statements true: a) 0.6 __>__ 0.06 b) 42.18 __<__ 42.7 Fractions 1. What fraction would describe the part of the diagram that is black? 2. Draw a picture to show 3 5 in at least 3 different ways. 5 10 3. Order the following fractions from smallest to largest. a) 7 4 3 8 10 10 10 10 3/10, 4/10, 7/10, 8/10 4. Circle the bigger fraction. a) 3 5 𝑜𝑟 4 5 b) 1 2 𝑜𝑟 1 3 3 SPS Math Diagnostic – Pre Grade 5 Answer Key Parts of a Whole Fill in the other ways to represent each number: Decimal Fraction Decimal Fraction 0.25 25 100 0.4 4 10 0.04 4 100 0.03 3 100 0.8 8 10 0.53 53 100 Finding Numbers on a Number Line 1 1 1. Estimate where these fractions would be placed on a number line: , 2 3 1/3 ½ 0 1 2. Estimate where these decimals would be placed on a number line: 0.75. 0.2 0.2 0 0.75 1 4 SPS Math Diagnostic – Pre Grade 5 Answer Key Addition 1. 12 + 9 = 21 5. 623 + 4207 = 4830 2. 27 + 32 = 59 3. 52 +78 130 6. 2453 + 729 + 144 = 3326 4. 63 + 295 = 358 Subtraction 1. 27 - 3 = 24 5. 607 – 32 = 575 2. 13 – 5 = 8 3. 64 – 7 = 57 6. 1465 – 348 = 1117 4. 83 – 47 = 36 5 SPS Math Diagnostic – Pre Grade 5 Answer Key Multiplication 1. What multiplication fact is shown by the following array? 3X4 2. 4 x 1 = 4 6. 8 x 2 = 16 3. 6 x 0 = 0 7. 4 x 10 = 40 4. 5 x 9 = 45 8. 3 x 16 = 48 5. 7 x 6 = 42 Division 1. 9 ÷ 3 = 3 6. 8 40 = 5 2. 28 ÷ 7 = 4 3. 18 ÷ 2 = 9 7. 60 ÷ 10 = 6 4. 2 ÷ 1 = 2 5. 2 8 = 4 8. 20 4 =5 6 SPS Math Diagnostic – Pre Grade 5 Answer Key Patterns 1. What are the next two symbols to the right of the pattern? 2. If the pattern continues, what are the next 3 numbers? 1, 3, 5, 7, 9, 11, 13, 15 3. How many steps will Cindy take in 5 seconds? Seconds 1 2 3 4 5 Steps 4 8 12 16 20 4. What is the value of the box? 8 5. What is the value of the box? 34 = + 9 25 7