Download After Christmas Review

After Christmas Review
Part A
1. Write each number in words:
a. 2 867:
b. 5 000 349:
2. Write each number in expanded form.
a. 538 :
b. 205 603 :
3. Write each number in standard form.
a. (4 x 100 000) + (5 x 10 000) + (3 x 1000) + (8 x 100) :
b. (3 x 100 000) + (3 x 100) + (5 x 1) :
4. Use  or  to compare these numbers.
a. 6 543 ____ 5 643
b. 74 369 ____ 79 421
5. Organize these numbers from least to greatest.
a. 817, 718, 187, 178
b. 45 903, 49 503, 43 903, 49 530
6. Round these numbers as indicated.
a. 746 nearest ten :
b. 14 563 nearest thousand :
c. 963 nearest thousand :
d. 1 540 681 nearest hundred thousand :
7. Select the appropriate operation and find the following answers.
a. sum :
77
54
c. product : 77
8
Part B
6 866
507
356
53
b. difference : 94
41
d. quotient : 84
12
8 048
179
360
18
1. Use the order of operations (BEDMAS) to complete these questions. Remember,
when you only have D & M in an equation or A & S in an equation, you must work
from left to right!
a. 29 + 13 – 5 + 10
b. 13 – 5 – 4 – 2 + 4
c. 23 + 34 – 8 – 9 – 7
d. 3 + 8 + 17 – 2
e. 19 + 36 – 15  3
f. 23 + 15 – 9  3
g. 36  2 – 15  4
h. 5 + 3  23 – 5
i. 7  8 - 5 + 6
j. 48  6 - 4 - 8
k. 27  3  6 + 51
l. 3  2 + 7 - 3
m. 18 + 9  3 + 15
27 – 28  4
n. 21 - 9  15 - 13
8 - 5  27 - 23
2. Use substitution AND the order of operations to complete the following
questions.
a. x + 5 + x, if x = 4
b. 2x + 5 - x, if x = 3
c. 3 + b  12 - b, if b = 9
d. p - p  3, if p = 3
e. x + 2z - 2x + z, if x = 2
f. 23c – 4n, if c = 2 and n = 1
Part C
1. List all of the factors of each number. Tell whether each number is prime or
composite, by circling either P (prime) or C (composite).
a. P C 14 -
b. P C 29 –
c. P C 40 -
d. P C 45 –
e. P C 19 -
f. P C 51 –
2. List the prime numbers less than 20.
3. List the first 8 multiples of each number.
a. 3 -
b. 10 –
c. 4 -
d. 25 –
e. 5 -
f. 12 –
4. Using the divisibility rules for 2, 3, 4, 5, & 10, write either yes or no beside each
question. Show your work to prove your answer!
a. Is 31 324 divisible by 4? _______
b. Is 4950 divisible by 5? _______
c. Is 327 divisible by 6?
_______
d. Is 10 005 divisible by 10? _______
e. Is 4950 divisible by 2?
_______
f. Is 327 divisible by 3? _______
5. Using prime factors you have found using the factor tree or repeated division,
please find the GCF (greatest common factor) AND the LCM (Lowest Common
Multiple) for the following numbers.
a. 36 and 40
b. 12, 15, and 18
36 –
40 –
______________________
GCF –
LCM –
12 –
15 –
18 –
_________________________
GCF LCM -
c. 25 and 45
d. 15, 20, and 30
25 –
45 ______________________
GCF LCM -
15 20 30 _________________________
GCF LCM -
Part D
1. Find the factors for these two numbers, then circle the GCF (greatest common
factor).
16:
20:
2. Write each fraction in lowest terms.
a. 16/20
b. 75/100
c. 3/12
3. Write 2 equivalent fractions for 24/9.
4. Find the multiples of these two numbers, then circle their LCM (lowest common
multiple).
575. Find the LCD (lowest common denominator) for these two fractions : ¼, 2/3.
6. Add.
a. 3/5 + 1/5
b. 4/7 + 1/2
7. Subtract.
a. 8/9 – 4/9
b. 3/5 – 1/2
Part E
1. Write the following as fractions.
a. 5 ½
b. 9 3/8
c. 13
2. Write the following as mixed numbers.
a. 23/4
b. 35/20
c. 31/10
3. Find the sum of the following in lowest terms:
a. 7/3 + 4/3
b. 4/5 + 3/10
c. 7/9 + 2/5
4. Find the difference of the following in lowest terms:
a. 7/5 – 2/5
5. Find the answer.
b. 5/2 – 7/8
c. 6/3 – 5/4
a. 3 1/3 + 4 2/5
b. 2 1/3 – 1/6
c. 2 – 2/3
Part F
1. Write the following as fractions.
a. 9 2/5
b. 4 2/3
c. 23
2. Write the following as mixed numbers.
a. 7/5
b. 19/8
c. 35/12
3. Find the product of the following and express in lowest terms:
a. 3/4 x 1/30
b. 7/12 of 9/14
c. 8/12 x 3/4
d. 3 x 2 2/5
e. 3 1/5 x 1 7/8
f. 1/2 x 2 3/4
4. Find the quotient of the following and express in lowest terms:
a. 4/9 ÷ 2/3
b. 3/7 ÷ 2/9
c. 3/10 ÷ 1/20
d. 2 ÷ 3 4/7
e. 1 5/13 ÷ 3 1/2
f. 2 3/4 ÷ 7/10
Part G
1. Write in standard form (product) :
a. 2x2x2x2
b. 4x4
2. Write as a power (exponent) :
a. 5x5x5x5x5x5x5
b. 3x3x3
3. Write as repeated multiplication :
a. 6 cubed
b. 9 squared
4. Find the answer.
a. 32 + 42
b. 24 - 42
c. 22 x 32
d. 42
----
22
5. Write the answer as a power.
a. 49 x 43
b. 53 x 5
c. 36
---34
d. 118
---117
c. 100
d. 10-4
c. 0.1
d. 0.000 01
c. 3.006 x 104
d. 5.64 x 10-1
c. 96.2
d. 3 691
c. 0.014
d. 0.9
Part H
1. Write in standard form.
a. 103
b. 10-2
2. Write as a power of 10.
a. 1/10 000
b. 1/1
3. Write in standard form.
a. 1.12 x 102
b. 6.791 x 10-3
4. Write in scientific notation.
a. 9 870 486
b. 823.5
5. Write in scientific notation.
a. 0.0000000493
b. 0.00306
Part I
1. Find the square root.
a. 3x3x7x7
b. 2x2x11x11
c. 2x2x3x3x5x5
d. 5x5x7x7x11x11
e. 3x3x2x2x3x3
f. 13x13x2x2
g. 5x2x5x2
h. 5x5
2. Find the square root.
a. 4
b. 225
c.  81
d. 16
e. 121
f. 542
g.  400
h. 169
i.  0
k. 232
3. Find the square root.
a. 4900
b. 3600
c. 10 000
d. 90 000
e. 14 400
f. 40 000
g. 2 250 000
h. 900
Part J
1. Find the answers.
a. 49
b. 1
c. 144
d. 169
e. 2 500
d. 0.81
e. 0.01
2. Find the answers.
a. 16 + 9
b. 36 + 64 c. 25 – 9
3. Write the list of prime numbers (factors) to 20.
________________________________________________________________________
4. Using the prime numbers (factors) above to divide with, find the square root of
each. Show the multiplication under the symbol!
a. 484
b. 1089
c. 625
d. 324
5. Between which two consecutive whole numbers is each answer found ?
a. 30
b. 82
c. 59
d. 11
e. 138
6. Redo question 5 finding more specific estimated answers to the nearest tenth.
a. 30
b. 82
c. 59
d. 11
e. 138