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