H. Salvo
Table of Contents
Unit 7: Addition Adding Near Multiples........................................................................................... 42 Adding Money........................................................................................................ 44 Adding Decimals.................................................................................................... 46
Unit 1: Numbers Place Value........................................................................................................... 4 Rounding Numbers............................................................................................... 5 Common Factors.................................................................................................. 6 Least Common Multiple....................................................................................... 7 Ordering Numbers................................................................................................ 8 Comparing Numbers............................................................................................ 9
Unit 2: Number Recognition Number Sequences............................................................................................ 10 Odd and Even Numbers.................................................................................... 11 Estimating Numbers............................................................................................ 13 Prime Numbers.................................................................................................... 14
Unit 8: Subtraction Subtracting Near Multiples.................................................................................... 48 Subtracting Money................................................................................................. 50 Positive and Negative Integers............................................................................. 51 Subtracting Decimals............................................................................................. 52
Unit 9: Multiplication Multiplying Whole Numbers.................................................................................. 54 Multiplying Decimals.............................................................................................. 55 Multiplying Pairs of Multiples of 10........................................................................ 56 Multiplying Near Multiples of 10............................................................................ 57 Number Facts.......................................................................................................... 58 Multiplying up to 4-Digit Numbers......................................................................... 59
Unit 3: Fractions and Decimals Comparing Fractions.......................................................................................... 16 Reducing and Converting Fractions................................................................ 17 Counting On and Back...................................................................................... 18 Ordering Mixed Numbers................................................................................... 19 Percentages........................................................................................................ 20 Ratios and Proportions........................................................................................ 21
Unit 4: Geometry 2D Shapes............................................................................................................ 22 Properties of 3D Shapes..................................................................................... 23 Quadrilaterals..................................................................................................... 24 2D Representations of 3D Shapes.................................................................... 25 Perimeter and Area of Shapes......................................................................... 26
Unit 10: Division Dividing Whole Numbers....................................................................................... 60 Dividing Decimals................................................................................................... 61 Dividing Three-Digit Numbers................................................................................ 62 Mixed Numbers and Decimal Answers................................................................ 64
Unit 11: Time Units of Time............................................................................................................ 66 24-Hour Clocks........................................................................................................ 67 Time Intervals.......................................................................................................... 69
Unit 12: Mental Maths Number Puzzles....................................................................................................... 72 Single-Step Word Problems................................................................................... 74 Multi-Step Word Problems..................................................................................... 75 Ratios and Direct Proportions............................................................................... 76 Percentages........................................................................................................... 77
Unit 5: Positioning and Data Plotting Coordinates.......................................................................................... Ordered Pairs...................................................................................................... Data Problems.................................................................................................... Mode and Range.............................................................................................. Median and Mean............................................................................................
28 29 30 32 33
Unit 6: Measuring
Review 2 Review 2.................................................................................................................. 78
Units of Measurement........................................................................................ 34 Converting Units of Measurement.................................................................... 35 Reading Measuring Instruments........................................................................ 37 Line Measuring.................................................................................................... 39
Review 1 Review 1.............................................................................................................. 40
2
3
Place Value
Rounding Numbers TIPS!
Decimal Point
Example: Millions
Hundred Thousands
9
3
Ten Thousands Hundreds Tens Ones Thousands
5
7
8
6
4
Tenths Hundredths
.
7
5
1. Write the place value of the underlined digits. a. 565,325 _______________________
b. 1,536,964 ____________________
1. If the number you’re rounding to is followed by a 5, 6, 7, 8 or 9, round up. 2. If the number you’re rounding to is followed by a 0, 1, 2, 3 or 4, round down.
2. Round to the nearest 10. 75
626
492
2,659
9,319
31
443
5,635
856
3. Round to the nearest 100. c. 1,986,436 _____________________ e. 965,312 _______________________
d. 750,550 _____________________ f. 596,501 _____________________
6,491
7,360
9,785
55,629
99,938
5,678
8,987
2,379
46,239
4. Round to the nearest 1,000. g. 548,365 _______________________
i.
937,691 _______________________
h. 9,978,630 ____________________ j. 7,353,790 ____________________
100,678
567,124
792,564
997,872
252,325
357,197
489,666
645,197
837,852
5. Round to the nearest tenth. k. 36.355 ________________________ m. 1.298 _________________________
l. 995.366 _____________________ n. 5.315 ________________________
1.25
67.34
89.43
5.32
26.14
33.33
97.16
4.55
75.45
6. Round to the nearest whole number. o. 6.943 _________________________ q. 0.987 _________________________ 4
p. 3.331 ________________________ r. 7.890 ________________________
7.47
9.87
6.35
25.67
37.12
59.49
39.75
19.51
23.36 5
Common Factors
1
2
3
4
Least Common Multiple
7. Find the greatest common factor for each pair of numbers. a. 36, 48
b. 21, 63
factors of 36 = ______________ factors of 48 = ______________ GCF (36, 48) = _____________
c. 15, 60
d. 27, 54
e. 24, 42 factors of 24 = ______________ factors of 42 = ______________ GCF (24, 42) = _____________
g. 72, 96 factors of 72 = ______________ factors of 96 = ______________ GCF (72, 96) = _____________
a.
44, 99 factors of 44 = ______________ factors of 99 = ______________ GCF (44, 99) = _____________
h. 56, 84 factors of 56 = ______________ factors of 84 = ______________ GCF (56, 84) = _____________
2, 3
b. 4, 5
multiples of 2= _____________ multiples of 3= _____________ LCM (2, 3) = ________________
c.
factors of 27 = ______________ factors of 54 = ______________ GCF (27, 54) = _____________
f.
2 3
Remember, the least common multiple is the smallest number that is a multiple of two or more numbers.
8. Find the least common multiple for each pair of numbers.
factors of 21 = ______________ factors of 63 = ______________ GCF (21, 63) = _____________
factors of 15 = ______________ factors of 60 = ______________ GCF (15, 60) = _____________
6
1
Remember, the greatest common factor is the highest number that divides exactly into two or more numbers evenly.
3, 5
multiples of 4= ______________ multiples of 5= ______________ LCM (4, 5) = _________________
d.
multiples of 3= _____________ multiples of 5= _____________ LCM (3, 5) = ________________
e.
2, 15
multiples of 5= _____________ multiples of 7= _____________ LCM (5, 7) = ________________
f.
multiples of 2= _____________ multiples of 15= ____________ LCM (2, 15) = _______________
g. 3, 24 multiples of 3 = _____________ multiples of 24 = ____________ LCM (3, 24) = _______________
5, 7
5, 8 multiples of 5= _____________ multiples of 8= _____________ LCM (5, 8) = ________________
h.
6, 16 multiples of 6= _____________ multiples of 16= ____________ LCM (6, 16) = _______________ 7
Ordering Numbers 3
1
4 2
6
Comparing Numbers 11. Compare the numbers using > and <.
Pay close attention to the negative numbers!
5
-853
-560
61,235
16,235
9. Write each set of numbers from least to greatest. 978,568 _________ -378 _________
653,984 _________ -751 _________
759,124 _________ -163 _________
861,123 _________ -493 _________
5,670
1,365
8,637
997
_________
_________
_________
_________
d.
167,936
35,159
9,873
97,639
e.
_________ -1,050 _________
_________ -6,914 _________
_________ -3,215 _________
_________ -8,765 _________
a. b. c.
-57
-35
67,165
97,125
-165
903,125
903,251
3,875
-3,875
2,652
987,135
785,915
63,153
79,159
-566
1,965
2,971
-3,103
-32
42,652
-783
2,153
79,156
69,156
753,251
13,313
-15,363
10. Write each set of numbers from greatest to least. 743,597
286,148
436,987
_________ -378
_________ -182
_________
b.
_________ -506
c.
_________ 4,369
_________ 7,972
_________ 1,087
_________ 9,365
d.
_________ 21,364
_________ 47,698
_________ 39,592
_________ 55,679
_________ -6,349 _________
_________ 0 _________
_________ -814 _________
_________ -5,369 _________
e. 8
-960
125,632
65,198
16,654
781,321
7,324
-169
563
961
er at
-235
-820
187
-1,000
-187
Than an
123,597
G re
a.
L
Th s es
9
