SPS Math Diagnostic – Pre Grade 5

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

Place Value

1.  What number is shown by the blocks?

2.  What is the value of the underlined digit?

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SPS Math Diagnostic – Pre Grade 5

a)  986

b)  1986

c)  21986

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SPS Math Diagnostic – Pre Grade 5

3.  Fill in the empty spaces on the table

Standard Form / Expanded Form / In Words
23
2457 / Two thousand four hundred fifty seven
9000+800+2

Decimals

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SPS Math Diagnostic – Pre Grade 5

1.  What decimal would describe the shaded part of the diagram?

2.  Colour the blocks to show the indicated decimal numbers:

a)  0.4

b)  0.75

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SPS Math Diagnostic – Pre Grade 5

3.  Use <, >, or = to make the statements true:

a)  0.6 ____ 0.06

b)  42.18 ____ 42.7

Fractions

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SPS Math Diagnostic – Pre Grade 5

1.  What fraction would describe the part of the diagram that is black?

2.  Draw a picture to show 35 in at least 3 different ways.

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SPS Math Diagnostic – Pre Grade 5

3.  Order the following fractions from smallest to largest.

a)  710 410 310 810 _____, _____, _____, _____

4.  Circle the bigger fraction.

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SPS Math Diagnostic – Pre Grade 5

a)  35 or 45

b)  12 or 13

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SPS Math Diagnostic – Pre Grade 5

Parts of a Whole

Fill in the other ways to represent each number:

Decimal / Fraction / Decimal / Fraction
0.25 / 410
0.04 / 3100
0.8 / 53100

Finding Numbers on a Number Line

1.  Estimate where these fractions would be placed on a number line: 12, 13

2. Estimate where these decimals would be placed on a number line: 0.75. 0.2

Addition

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SPS Math Diagnostic – Pre Grade 5

1.  12 + 9

2.  27 + 32

3. 

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