SPS Math Diagnostic Pre Grade 7 Answer Key
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SPS Math Diagnostic – Pre Grade 7 Answer Key
Contents SPS Math Diagnostic – Pre Grade 7 Answer Key
Place Value 1. What is the value of the underlined digit?
a) 1986 b) 8721986
2.
3. Fill in the empty spaces on the table
4. Standard 5. Expanded Form 6. In Words Form 9. Two thousand four 7. 2457 8. 2000 + 400 + 50 + 7 hundred fifty seven
12. One hundred sixty 11. 100000+60000+700 10. 167 089 seven thousand eighty nine 0+80+9
15. Three million two 14. 3000000 + 200000 + 13. 3 206 951 hundred six thousand nine 6000 + 900 + 50 + 1 hundred fifty-one 16.
17. Round the following numbers:
a) 384.58 to the nearest tenth c) 6562.41 to the nearest thousand b)
2) SPS Math Diagnostic – Pre Grade 7 Answer Key
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
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 ......
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.
...... 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.
...... 116. Use <, >, or = to make the statements true: SPS Math Diagnostic – Pre Grade 7 Answer Key
a) 0.6 __>__ 0.006 b) 42.18 _<__ 42.7
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
. . . . . 12. Show in at least 3 different ways.
13.
14.
15. Order the following fractions from smallest to largest.
a) b)
c)
d)
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) ) ) ) ) ) ) ) ) )
w)
x)
y)
17. Give an equivalent fraction for each of the following:
a) b) SPS Math Diagnostic – Pre Grade 7 Answer Key
18. Circle the bigger fraction. If both fractions are equal, circle both.
a) b) c)
19. Write a mixed number and an improper fraction to describe the shaded portion of the following diagram.
2 2 2 2 2 2 2 2 2 2 3 0 1 2 3 4 5 6 7 8 9 0 ......
3 3 3 3 3 3 3 3 3 4 4 1 2 3 4 5 6 7 8 9 0 1 ......
42.
43.
44. Change to a mixed number.
45.
46. SPS Math Diagnostic – Pre Grade 7 Answer Key
47. Percent 1. Circle which test score is highest in percent.
a) 7 out of 10
b) 15 out of 25
c) 40 out of 50
48.
49.
50.
51.
2. What percent is shaded in the following diagram?
5 5 5 5 5 2 3 4 5 6 . . . . .
5 5 5 6 6 7 8 9 0 1 . . . . .
6 6 6 6 6 2 3 4 5 6 . . . . .
6 6 6 7 7 7 8 9 0 1 . . . . . SPS Math Diagnostic – Pre Grade 7 Answer Key
7 7 7 7 7 2 3 4 5 6 . . . . .
77.
78.
79.
80. Parts of a Whole 3. Fill in the other ways to represent each number:
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.
5. Give an example of a fraction larger than 0.5.
6.
7. SPS Math Diagnostic – Pre Grade 7 Answer Key
8. Integers 1. Order the following sets of integers from smallest to largest -5, +9, 0, -1, -8, -6
9.
10. __-8___, __-6___, __-5___, __-1___, __0___, __+9___
11. Finding Numbers on a Number Line 12. Place the numbers where they belong on the number line: 2, -1, , 40%, 0.9
13. -1 40% 0.9 2
14. Addition 1. 12 + 9 = 21 3. 63 + 295 = 358
2. 4. 2453 + 729 + 144 = 3326
5. Subtraction 1. 27 – 3 = 24 4. 607 – 32 = 575
2. 5.
3. 64 – 7 = 57 6. 1465 – 348 = 1117
7. SPS Math Diagnostic – Pre Grade 7 Answer Key
Multiplication 1. 5 x 9 = 45 4. 3826 x 6 = 22956
2. 3 x 16 = 48 5. 25 x 48 = 1200
3. 1000 x 81 = 81000
6. Division 1. = 4 4. 8= 50
2. 10= 4 5. 3= 134
3. 9= 9 6.
7. SPS Math Diagnostic – Pre Grade 7 Answer Key
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.
3. 9.
10. What is the lowest common 4. What are the factors of 12? multiple of 12, 15?
11. 5. 12.
13.
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.
45.
46. SPS Math Diagnostic – Pre Grade 7 Answer Key
47. Order of Operations 1. 3 + 7 x 4 = 31 4. 2 – 3 (4) 6 – 2 = -2
2. 24 – 8 x 3 = 0 5. 5 + 7 (9 – 4 + 3) = 61
3. 4 x 8 + 8 4 – 3 = 31 6. 5 + 2 (8 – 4) 4 + 4 = 11
7. Cartesian Plane 1. Write the (x,y) coordinates for each point:
8. A (2, 8) B (5,3)
2. Which point is described by the coordinates:
9.
10. (3,1) D (6, 1) C
11. SPS Math Diagnostic – Pre Grade 7 Answer Key
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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
15. What is the pattern rule? 27. SPS Math Diagnostic – Pre Grade 7 Answer Key
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
49. Solving Equations 1. 34 = + 9 3.
2. 4.