Download SPS Math Diagnostic * Post Grade 5 Answer Key

SPS Math Diagnostic – Post Grade 5 Answer Key
Contents
Place Value .................................................................................................................................................... 2
Decimals ........................................................................................................................................................ 3
Fractions........................................................................................................................................................ 3
Parts of a Whole............................................................................................................................................ 4
Finding Numbers on a Number Line .............................................................. Error! Bookmark not defined.
Addition.......................................................................................................... Error! Bookmark not defined.
Subtraction..................................................................................................... Error! Bookmark not defined.
Multiplication ................................................................................................................................................ 6
Division.......................................................................................................................................................... 6
Patterns ......................................................................................................................................................... 7
Solving Equations .......................................................................................................................................... 7
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SPS Math Diagnostic – Post 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
8
b) 1986
8
c) 21986
8
d) 8721986
8
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
703270
700000+3000+200+70
Seven hundred three thousand
two hundred seventy
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SPS Math Diagnostic – Post 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) 0.5 __>__ 0.005
c) 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
b)
5
1
1
2
6
3
2
3
1/3, 1/2, 2/3, 5/6
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SPS Math Diagnostic – Post Grade 5 Answer Key
4. Are the shaded fractions of the following diagrams equivalent? YES or NO
5. Give an equivalent fraction for each of the following:
a)
6
b)
varied
12
60
varied
90
6. Circle the bigger fraction. If fractions are equal, circle both.
a)
3
5
𝑜𝑟
4
b)
5
2
6
𝑜𝑟
4
c)
9
4
8
𝑜𝑟
1
2
Parts of a Whole
1. 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
2. Give an example of a fraction larger than 0.5. varied
Finding Numbers on a Number Line
1 1
1. Estimate where these fractions would be placed on a number line: ,
2 3
1/3
0
½
1
4
SPS Math Diagnostic – Post Grade 5 Answer Key
2. Estimate where these decimals would be placed on a number line: 0.75. 0.2
0.2
0.75
0
Addition
1. 12 + 9 = 21
1
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
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SPS Math Diagnostic – Post Grade 5 Answer Key
Multiplication
1. What multiplication fact is shown by the following array?
3X6
2. 4 x 1 = 4
9. 1000 x 81 = 81000
3. 6 x 0 = 0
4. 5 x 9 = 45
10.3826 x 6 = 22956
5. 7 x 6 = 42
6. 8 x 2 = 16
7. 4 x 10 = 40
11.25 x 48 = 1200
8. 3 x 16 = 48
Division
1. 9 ÷ 3 = 3
7. 60 ÷ 10 = 6
2. 28 ÷ 7 = 4
8.
3. 18 ÷ 2 = 9
20
4
=5
9. 3
402 = 134
4. 2 ÷ 1 = 2
5. 2 8 = 4
6. 8 40 = 5
10.
383
6
= 63 𝑅5
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SPS Math Diagnostic – Post 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. If the pattern continues, what number comes next?
9, 13, 17, 21, 25
4. How many steps will Cindy take in 5 seconds?
Seconds
1
2
3
4
5
Solving Equations
1. What is the value of the box?
a.
Steps
4
8
12
16
20
b. 34 =  + 9
= 25
=8
2. What is the value of 𝑥?
a. 𝑥 + 5 = 11
𝑋 = 6
b. 3𝑥 = 12
𝑋 = 4
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