5th Grade Math Packet

1
Woodward Academy’s
Rising 5th Grade
Math Packet
Please put the pages in order and staple before
turning in the packet to your math teacher.
The packet is due on the first Friday
after the beginning of school.
You will be given an evaluation over your knowledge
of the contents of this packet on the first Tuesday
after the packet is due.
An Answer Key will be placed on Haiku
prior to the evaluation.
Name______________________________
(first and last name)
5th Grade Homeroom______________________
2
1. Use the following vocabulary words to fill in the blanks.
improper fraction
mixed number
a) the 4 in
b)
c)
5
10
11
8
=
percent
denominator
equivalent fractions
greatest common factor (GCF)
3
is the _________________________________________
4
1
is an example of ___________________________________
2
is an example of an ____________________________________
d) For 12 and 18, the number 6 is the ___________________________
e) 3
1
3
is an example of a ____________________________________
f) .67 and 67/100 is the same as 67 ____________________________
2. Write the fraction that names each shaded part.
a.____________
b. ____________
3. Complete each fraction.
a. 10 = _
30 15
b. 5 = 20_
6
c. 3 = _
4 28
4. Find the simplest form for each fraction (reduce the fraction).
a)
8
28
= ______
b)
10
25
= ______
c)
9
12
= _____
3
5. Solve the equations. Simplify the answer if possible.
a)
7
+
10
c)
1
+
2
e)
4
-
2
g)
6
5
3
10
2
= ______
b)
5
-
= ________
d)
2
+
= ________
f)
1
+
1
= _______
3
b)
7
-
1
= _______
10
6
5
+
10
= ______
6. Solve the fraction number stories.
a) Mr. Brown had
4
6
5
8
9
6
2
5
8
9
= _______
= _______
1
tbsp. of the salt
5
5
while making cookie dough. How much salt was left? _____________
b) Jane had
7
tbsp. of salt. He used
4
of a bag of candy. She used
5
of what she had
8
8
to fill treat bags for her friends. How much candy was left? _____________
7. Circle the pairs of line segments below that are parallel.
8. Match the quadrangle with the correct name.
parallelogram__________
rhombus__________
rectangle__________
trapezoid__________
a.
b.
9. Match the name to the correct type of angle.
c.
d.
4
right angle
acute angle
straight angle
obtuse angle
10. Write a number that has a…..
4 in the millions place,
3 in the hundred-millions place,
8 in the thousands place,
5 in the ten-thousands place,
1 in the ten-millions place,
7 in the hundred-thousands place, and
0 in all other places.
_____ _____ _____, _____ _____ _____, _____ _____ _____
11. Write the following number in words: 197,804,325
_________________________________________________________
_________________________________________________________
12. In the number 6,892,
053
a) the 0 is in the ____________________________________________________ place.
b) the 6 is in the ____________________________________________________ place.
c) the 2 is in the ____________________________________________________ place.
d) the 8 is in the ____________________________________________________ place.
e) the 3 is in the ____________________________________________________ place.
f) the 9 is in the ____________________________________________________ place.
g) the 5 is in the ____________________________________________________ place.
5
13. Write the number given in words in standard form.
a) sixty-three million, eight thousand, five hundred
________________________________________________________
b) five hundred thirty-two million, seven hundred twelve thousand, two
hundred ninety-four
_________________________________________________________
c) forty-one million, fifteen thousand, twenty-six
_________________________________________________________
14. Add. Recopy the problems on a separate sheet of paper. Clearly label each problem with
the correct number and circle the answer. Also copy the answer in the blank provided.
STAPLE THE SEPARATE SHEET OF PAPER TO THE BACK OF THE PACKET.
a) 567 + 95 = _________________
b) 913 + 97 = __________________
c) 786 + 658 = ________________
d) 4, 867 + 956 = _______________
e) 35.6 + 45.23 = ______________
f) 159.4 + 23 = _________________
g) 6.785 + 47.9 = _______________
h) 581 + 5.67 = _________________
i) 4,562 + 347.59 = _______________
j) 374.67 + 12.734 = _____________
15. Subtract. Recopy the problems on a separate sheet of paper. Clearly label each problem
with the correct number and circle the answer. Also copy the answer in the blank
6
provided. STAPLE THE SEPARATE SHEET OF PAPER TO THE BACK OF THE PACKET.
a) 698 – 59 = ___________________
b) 902 – 78 = __________________
c) 769 – 539 = __________________
d) 718 – 693 = _________________
e) 7,308 – 319 = ________________
f) 3,316 – 759 = ________________
g) 8,124 – 4,965 = _______________
h) 6,001 – 3,579 = _______________
i) 25.784 – 12.6 = _______________
j) 100.5 – 75.25 = _______________
k) 7,345.28 – 469.7 = _______________
l) 350 – 126.85 = ______________
16. Solve each open sentence.
a) 62 = n + 31
n = ________
b) r – 430 = 300
r = ________
c) 45 – x = 9
x = ________
d) p + 249 = 389
p = ________
e) y – 35 = 15
y = ________
f) b = 54/9
b = ________
g) 8 = z/5
z = ________
h) 40 = f ÷ 3
f = ________
17. Write each of the following in decimal notation.
a) 8 tenths_________________
b) 4 and 7 tenths_______________
c) 53 hundredths____________
d) 8 and 32 hundredths__________
e) 9 hundredths_____________
f) 40 and 18 hundredths__________
18. Write the following numbers in words.
a) 56.4________________________________________________
7
b) 4.21________________________________________________
c) .08_________________________________________________
d) 11.67_______________________________________________
19. Round 4,568,037 to the nearest……
a) thousand__________________________________________________________
b) million____________________________________________________________
c) hundred___________________________________________________________
d) hundred-thousand___________________________________________________
e) ten-thousand_______________________________________________________
20. Solve the extended multiplication facts.
a) 50 x 60 = _______________________________________________________
b) 80 x 400 = ______________________________________________________
c) 70 x ______________________________________________________ = 490
d) _______________________________________________________ x 8 = 6400
e) 90 x _______________________________________________________ = 360
f) _____________________________________________________ x 60 = 5,400
21. Multiply. Recopy the problems on a separate sheet of paper. Clearly label each problem
with the correct number and circle the answer. Also copy the answer in the blank
8
provided. STAPLE THE SEPARATE SHEET OF PAPER TO THE BACK OF THE PACKET.
a) 54 x 78 = _______________
b) 75 x 39 = _______________
c) 895 x 63 = ___________
d) 876 x 52 = ____________
e) 567 x .18 = ____________
f) .789 x 84 = ____________
g) 7.56 x 3.5 = ____________
h) 67.3 x .124 = ____________
22. Divide. Recopy the problems on a separate sheet of paper. Clearly label each problem
with the correct number and circle the answer. Also copy the answer in the blank
provided. STAPLE THE SEPARATE SHEET OF PAPER TO THE BACK OF THE PACKET.
Note: Some problems will have a remainder.
a) 168 ÷ 8 = __________________
b) 675 ÷ 5 = __________________
c) 292 ÷ 9 = __________________
d) 905 ÷ 7 = __________________
e) 306 ÷ 4 = __________________
f) 489 ÷ 3 = ___________________
g) 48.86 ÷ 5 = _________________
g) 7.854 ÷ 6 = _________________