<p> SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>Contents SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>Place Value 1. What is the value of the underlined digit?</p><p> a) 1986 b) 8721986</p><p>2.</p><p>3. Fill in the empty spaces on the table</p><p>4. Standard 5. Expanded Form 6. In Words Form 9. Two thousand four 7. 2457 8. 2000 + 400 + 50 + 7 hundred fifty seven</p><p>12. One hundred sixty 11. 100000+60000+700 10. 167 089 seven thousand eighty nine 0+80+9</p><p>15. Three million two 14. 3000000 + 200000 + 13. 3 206 951 hundred six thousand nine 6000 + 900 + 50 + 1 hundred fifty-one 16.</p><p>17. Round the following numbers:</p><p> a) 384.58 to the nearest tenth c) 6562.41 to the nearest thousand b)</p><p>2) SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>Decimals 1. Colour the blocks to show the 7 7 7 7 7 7 7 7 8 8 indicated decimal numbers: 2 3 4 5 6 7 8 9 0 1 ...... a) 0.75</p><p>2 3 4 5 6 7 8 9 1 1 8 8 8 8 8 8 8 8 9 9 ...... 0 1 2 3 4 5 6 7 8 9 0 1 ...... </p><p>1 1 1 1 1 1 1 1 2 2 9 9 9 9 9 9 9 9 1 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 0 ...... 0 1 . . 2 2 2 2 2 2 2 2 3 3 2 3 4 5 6 7 8 9 0 1 102.</p><p>...... 103. What decimal would describe the shaded part of the diagram? 3 3 3 3 3 3 3 3 4 4 2 3 4 5 6 7 8 9 0 1 1 1 1 1 1 ...... 0 0 0 0 0 4 5 6 7 8 4 4 4 4 4 4 4 4 5 5 . . . . . 2 3 4 5 6 7 8 9 0 1 ...... 1 1 1 1 1 0 1 1 1 1 5 5 5 5 5 5 5 5 6 6 9 0 1 2 3 2 3 4 5 6 7 8 9 0 1 ...... 114. 6 6 6 6 6 6 6 6 7 7 2 3 4 5 6 7 8 9 0 1 115.</p><p>...... 116. Use <, >, or = to make the statements true: SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p> a) 0.6 __>__ 0.006 b) 42.18 _<__ 42.7</p><p>117. Fractions 1. What fraction would describe the 7 8 9 1 1 shaded part of the diagram? . . . 0 1 . . 2 3 4 5 6</p><p>. . . . . 12. Show in at least 3 different ways.</p><p>13.</p><p>14.</p><p>15. Order the following fractions from smallest to largest.</p><p> a) b)</p><p> c)</p><p> d)</p><p>16. Are the shaded fractions of the following diagrams equivalent? YES or NO a b c d e f g h i j k) ) ) ) ) ) ) ) ) ) ) l) m n o p q r s t u v) ) ) ) ) ) ) ) ) )</p><p> w)</p><p> x)</p><p> y)</p><p>17. Give an equivalent fraction for each of the following:</p><p> a) b) SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>18. Circle the bigger fraction. If both fractions are equal, circle both.</p><p> a) b) c)</p><p>19. Write a mixed number and an improper fraction to describe the shaded portion of the following diagram.</p><p>2 2 2 2 2 2 2 2 2 2 3 0 1 2 3 4 5 6 7 8 9 0 ...... </p><p>3 3 3 3 3 3 3 3 3 4 4 1 2 3 4 5 6 7 8 9 0 1 ...... </p><p>42.</p><p>43.</p><p>44. Change to a mixed number. </p><p>45.</p><p>46. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>47. Percent 1. Circle which test score is highest in percent.</p><p> a) 7 out of 10</p><p> b) 15 out of 25</p><p> c) 40 out of 50</p><p>48.</p><p>49.</p><p>50.</p><p>51.</p><p>2. What percent is shaded in the following diagram? </p><p>5 5 5 5 5 2 3 4 5 6 . . . . .</p><p>5 5 5 6 6 7 8 9 0 1 . . . . .</p><p>6 6 6 6 6 2 3 4 5 6 . . . . .</p><p>6 6 6 7 7 7 8 9 0 1 . . . . . SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>7 7 7 7 7 2 3 4 5 6 . . . . .</p><p>77.</p><p>78.</p><p>79.</p><p>80. Parts of a Whole 3. Fill in the other ways to represent each number:</p><p>81. Decim 82. Fracti 83. Perc 84. 85. Deci 86. Fracti 87. Perc al on ent mal on ent 90. 4% 92. 0.30 94. 30% 88. 0.04 89. 91. 93. 97. 62% 99. 0.09 101. 9 95. 0.62 98. 100. 96. % 102. 0.0 104. 3 105. 106. 0. 108. 4 103. 107. 3 % 40 0% 4.</p><p>5. Give an example of a fraction larger than 0.5. </p><p>6.</p><p>7. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>8. Integers 1. Order the following sets of integers from smallest to largest -5, +9, 0, -1, -8, -6</p><p>9. </p><p>10. __-8___, __-6___, __-5___, __-1___, __0___, __+9___</p><p>11. Finding Numbers on a Number Line 12. Place the numbers where they belong on the number line: 2, -1, , 40%, 0.9</p><p>13. -1 40% 0.9 2 </p><p>14. Addition 1. 12 + 9 = 21 3. 63 + 295 = 358</p><p>2. 4. 2453 + 729 + 144 = 3326</p><p>5. Subtraction 1. 27 – 3 = 24 4. 607 – 32 = 575</p><p>2. 5.</p><p>3. 64 – 7 = 57 6. 1465 – 348 = 1117</p><p>7. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>Multiplication 1. 5 x 9 = 45 4. 3826 x 6 = 22956</p><p>2. 3 x 16 = 48 5. 25 x 48 = 1200</p><p>3. 1000 x 81 = 81000</p><p>6. Division 1. = 4 4. 8= 50</p><p>2. 10= 4 5. 3= 134</p><p>3. 9= 9 6.</p><p>7. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>Factors and Multiples 1. What are the prime factors of 80? 6. What is the greatest common You may use a factor tree if you factor of 12, 15? choose. 7. 2. 8.</p><p>3. 9.</p><p>10. What is the lowest common 4. What are the factors of 12? multiple of 12, 15?</p><p>11. 5. 12.</p><p>13.</p><p>14. 15. 16. 17. 18. 1 2 3 4 5 19. 20. 21. 22. 23. 6 7 8 9 10 24. 25. 26. 27. 28. 11 12 13 14 15 29. 30. 31. 32. 33. 16 17 18 19 20 34. 35. 36. 37. 38. 21 22 23 24 25 39. 40. 41. 42. 43. 26 27 28 29 30 44. 5. Using the number grid below, use a  to mark the factors of 6 and a  to mark the multiples of 6.</p><p>45.</p><p>46. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>47. Order of Operations 1. 3 + 7 x 4 = 31 4. 2 – 3 (4)  6 – 2 = -2</p><p>2. 24 – 8 x 3 = 0 5. 5 + 7 (9 – 4 + 3) = 61</p><p>3. 4 x 8 + 8  4 – 3 = 31 6. 5 + 2 (8 – 4)  4 + 4 = 11</p><p>7. Cartesian Plane 1. Write the (x,y) coordinates for each point:</p><p>8. A (2, 8) B (5,3)</p><p>2. Which point is described by the coordinates: </p><p>9.</p><p>10. (3,1) D (6, 1) C</p><p>11. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>12.</p><p>13.</p><p>14.</p><p>15.</p><p>16.</p><p>17.</p><p>18.</p><p>19.</p><p>20.</p><p>21.</p><p>22.</p><p>23.</p><p>24. Patterns 1. How many kilometers will Cindy 16. I 17. O jog in 5 hours? nput utput 18. 2 19. 4 2. Hou 3. Kilome 3 6 rs ters 20. 2 21. 5 4. 1 5. 4 5 0 6. 2 7. 8 23. 1 22. 9 8. 3 9. 12 8 10. 4 11. 16 24. 4 25. 9 12. 5 13. 20 7 4 14. 26. 2x</p><p>15. What is the pattern rule? 27. SPS Math Diagnostic – Pre Grade 7 Answer Key</p><p>28. Fill in the table for y = 2x + 1 42. What is the expression for three times a number minus five? 29. x 30. y 31. 1 32. 3 43. 3t-5 33. 2 34. 5 35. 3 36. 7 44. 37. 4 38. 9 45. What is the equation for the 39. following statement: one more 40. Which of the following is an than double a number is 11? example of an expression? 46. 2t+1=11 a. 2x + 4 47. b. 5x + 4 = 29 48. Ray earns money cleaning c. A = L x W windows. For each house he charges $5 plus $2 for every d. 12 + 6 = window cleaned. What is an 41. expression that represents his total earnings? 2w+5</p><p>49. Solving Equations 1. 34 =  + 9 3.</p><p>2. 4.</p>