SPS Math Diagnostic – Post Grade 7 Answer Key
Contents
Place Value
Decimals
Fractions
Percent
Parts of a Whole
Integers
Finding Numbers on a Number Line
Addition
Subtraction
Multiplication
Division
Factors and Multiples
Order of Operations
Cartesian Plane
Patterns
Solving Equations
Place Value
- What is the value of the underlined digit?
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SPS Math Diagnostic – Post Grade 7 Answer Key
a)1986
b)8721986
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Fill in the empty spaces on the table
Standard Form / Expanded Form / In Words
2457 / 2000 + 400 + 50 + 7 / Two thousand four hundred fifty seven
167 089 / 100000+60000+7000+80+9 / One hundred sixty seven thousand eighty nine
3 206 951 / 3000000 + 200000 + 6000 + 900 + 50 + 1 / Three million two hundred six thousand nine hundred fifty-one
- Round the following numbers:
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SPS Math Diagnostic – Post Grade 7 Answer Key
a)384.58to the nearest tenth
b)6562.41 to the nearest thousand
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SPS Math Diagnostic – Post Grade 7 Answer Key
Decimals
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Colour the blocks to show the indicated decimal numbers:
a) 0.75
- What decimal would describe the shaded part of the diagram?
- Use <, >, or = to make the statements true:
a)0.6 ____ 0.006
b)42.18 ____ 42.7
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SPS Math Diagnostic – Post Grade 7 Answer Key
Fractions
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SPS Math Diagnostic – Post Grade 7 Answer Key
- What fraction would describe the shaded part of the diagram?
- Show in at least 3 different ways.
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Order the following fractions from smallest to largest.
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SPS Math Diagnostic – Post Grade 7 Answer Key
a)
b)
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Are the shaded fractions of the following diagrams equivalent? YES or NO
- Give an equivalent fraction for each of the following:
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SPS Math Diagnostic – Post Grade 7 Answer Key
a)
b)
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Circle the bigger fraction. If both fractions are equal, circle both.
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SPS Math Diagnostic – Post Grade 7 Answer Key
a)
b)
c)
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Write a mixed number and an improper fraction to describe the shaded portion of the following diagram.
- Change to a mixed number.
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SPS Math Diagnostic – Post Grade 7 Answer Key
Percent
- Circle which test score is highest in percent.
a)7 out of 10
b)15 out of 25
c)40 out of 50
- What percent is shaded in the following diagram?
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SPS Math Diagnostic – Post Grade 7 Answer Key
Parts of a Whole
- Fill in the other ways to represent each number:
Decimal / Fraction / Percent / Decimal / Fraction / Percent
0.04 / / 4% / 0.30 / / 30%
0.62 / / 62% / 0.09 / / 9%
0.03 / / 3% / 0.40 / / 40%
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SPS Math Diagnostic – Post Grade 7 Answer Key
- Give an example of a fraction larger than 0.5.
Integers
- Order the following sets of integers from smallest to largest -5, +9, 0, -1, -8, -6
__-8___, __-6___, __-5___, __-1___, __0___, __+9___
Finding Numbers on a Number Line
Place the numbers where they belong on the number line: 2, -1, , 40%, 0.9
-140% 0.9 2
Addition
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SPS Math Diagnostic – Post Grade 7 Answer Key
- 12 + 9 =21
- 63 + 295 =358
- 2453 + 729 + 144 =3326
- 3.0 + 2.0 = 5.0
- 3.1 + 2.6 = 5.7
- 7.1 + 2 = 9.1
- $17.88 + $2.90 = $20.78
- 4.301 + 2.89 = 7.191
- (-8) + (+12)= +4
- (+5) + (-10)= -5
- (-6) + (-9)= -15
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SPS Math Diagnostic – Post Grade 7 Answer Key
Subtraction
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SPS Math Diagnostic – Post Grade 7 Answer Key
- 27 - 3 = 24
- 64 – 7 = 57
- 607 – 32 = 575
- 1465 – 348 = 1117
- 6.0 – 5.0 = 1.0
- 8.5 – 2.4 = 6.1
- 7.1 – 3 = 4.1
- 76.3 – 14.209 = 62.091
- − 122.4= 4877.6
- 15 = -15
- 3 – 10 = -7
- (+8) – (+6)= +14
- (+2) – (-6)= +8
- (-8) – 9 = -17
- (-4) – (-4) = 0
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SPS Math Diagnostic – Post Grade 7 Answer Key
Multiplication
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SPS Math Diagnostic – Post Grade 7 Answer Key
- 5 x 9 = 45
- 3 x 16 = 48
- 1000 x 81 = 81000
- 3826 x 6 = 22956
- 25 x 48 = 1200
- 86.9 x 7 = 608.3
- 6 x 0.1 = 0.6
- 0.01 x 5.88 = 0.0588
- 5 x 0.02= 0.1
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SPS Math Diagnostic – Post Grade 7 Answer Key
Division
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SPS Math Diagnostic – Post Grade 7 Answer Key
- = 4
- 10= 4
- 9= 9
- 8= 50
- 3= 134
- = 1.8
- 241.08 6 = 40.18
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SPS Math Diagnostic – Post Grade 7 Answer Key
Factors and Multiples
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SPS Math Diagnostic – Post Grade 7 Answer Key
- What are the prime factors of 80? You may use a factor tree if you choose.
- What are the factors of 12?
- What is the greatest common factor of 12, 15?
- What is the lowest common multiple of 12, 15?
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SPS Math Diagnostic – Post Grade 7 Answer Key
1 / 2 / 3 / 4 / 56 / 7 / 8 / 9 / 10
11 / 12 / 13 / 14 / 15
16 / 17 / 18 / 19 / 20
21 / 22 / 23 / 24 / 25
26 / 27 / 28 / 29 / 30
5. Using the number grid below, use a to mark the factors of 6 and a to mark the multiples of 6.
Order of Operations
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SPS Math Diagnostic – Post Grade 7 Answer Key
- 3 + 7 x 4 = 31
- 24 – 8 x 3= 0
- 4 x 8 + 8 4 – 3 = 31
- 2 – 3 (4) 6 – 2 = -2
- 5 + 7 (9 – 4 + 3) = 61
- 5 + 2 (8 – 4) 4 + 4 = 11
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SPS Math Diagnostic – Post Grade 7 Answer Key
Cartesian Plane
- Write the (x,y) coordinates for each point:
A(-5, 6)B (6,5)
- Which point is described by the coordinates:
(3, -1) G(-6, -1) D
Patterns
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SPS Math Diagnostic – Post Grade 7 Answer Key
- How many kilometers will Cindy jog in 5 hours?
Hours / Kilometers
1 / 4
2 / 8
3 / 12
4 / 16
5 / 20
- What is the pattern rule?
Input / Output
23 / 46
25 / 50
9 / 18
47 / 94
- Fill in the table for y = 2x + 1
x / y
1 / 3
2 / 5
3 / 7
4 / 9
- Which of the following is an example of an expression?
- 2x + 4
- 5x + 4 = 29
- A = L x W
- 12 + 6 =
- What is the expression for three times a number minus five?
- What is the equation for the following statement: one more than double a number is 11?
- Ray earns money cleaning windows. For each house he charges $5 plus $2 for every window cleaned. What is an expression that represents his total earnings?
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SPS Math Diagnostic – Post Grade 7 Answer Key
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SPS Math Diagnostic – Post Grade 7 Answer Key
Solving Equations
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SPS Math Diagnostic – Post Grade 7 Answer Key
- 34 = + 9
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