PRACTICE TEST #1
Name: ______Class: ______Parent Signature: ______
SHOW ALL WORK! CORRECT ANSWERS WILL NOT BE EXCEPTED UNLESS WORK IS SHOWN!
A6: ______Develop and apply divisibility rules for 3, 4, 6, 9Divisibility Rules:
- If you add the digits of a number divisible by three the sum must be divisible by three.
- If a number is divisible by 4 the last two digits are divisible by 4.
- If a number is divisible by 6 it must be divisible by both 2 and 3.
- If you add the digits of a number divisible by 9 then the sum of the numbers must be divisible by 9.
For the following questions you must use the divisibility rule Final Answer
1. Is the number 823 divisible by 3?2. Is the number 9472 divisible by 4?
3. Is the number 72396 divisible by 6?
4. Is the number 6024 divisible by 9?
A1: ______Model and use power, base and exponent to represent repeated multiplication
5. Find the missing number – Don’t forget to show your work!
a)2__ = 16 ______
b) 54 = _____ ______/ c) __2= 81 = ______
d) 46 = = ______
6. Write the following in exponential notation:
a) 4 x 4 x 4 x 4 x 4 x 4 =
b) 6 x 6 x 6 x 6 =
d) 2 x 2 x 2 x 2 x 2 =
e)13 x 13 x 13 x 13 x 13 x 13 x 13 x 13 x 13 =
A2: ______Rename numbers among exponential, standard and expanded forms
7. Write the following numbers in expanded form
a)692 = ______
b)98720 = ______
c)4 209 356 = ______
8. Write the following numbers in expanded form
a)(6 x 100) + (9 x 10) + (2 x 1) = ______
b)(5 x 10 000) + (4 x 100) + (9 x 10) + (3 x 1) = ______
c)(3 x 103) + (8 x 102) + (3 x 101) + (1 x 100) = ______
A4: ______Solve and create problems using common factors and greatest common factors
Final Answer
9. Find the GCF of 12 and 18 by using prime factorization.10. Find the GCF of 25 and 50 by listing the factors.
A5: ______Solve and create problems using common multiples and least common multiples
11. Find the LCM of 10 and 15 using prime factorization.
12. Find the LCM of 5 and 7 by listing the multiples.
A3: ______Re-write large numbers from standard from to scientific notation and vice versa
13. Write each number in scientific notation
a)87 000 = ______
b)7 090 000 = ______/ c)65.7 x 102 = ______
d)986 854 = ______
14. Write each number in standard form
a)2.4 x 103 = ______
b)7.45 x 102= ______/ c)7.5 x 106 = ______
d)6.29 x 101 = ______
ANSWERS
SHOW ALL WORK! CORRECT ANSWERS WILL NOT BE EXCEPTED UNLESS WORK IS SHOWN!
A6: ______Develop and apply divisibility rules for 3, 4, 6, 9Divisibility Rules:
- If you add the digits of a number divisible by three the sum must be divisible by three.
- If a number is divisible by 4 the last two digits are divisible by 4.
- If a number is divisible by 6 it must be divisible by both 2 and 3.
- If you add the digits of a number divisible by 9 then the sum of the numbers must be divisible by 9.
For the following questions you must use the divisibility rule Final Answer
1. Is the number 823 divisible by 3?8+2+3 = 13
13÷3 = 4.3333 13 is not divisible by 3 / NO
2. Is the number 9472 divisible by 4?
72÷4 = 18 because the last two digits are divisible by 4 the number 9472 is also divisible by 4 / yes
3. Is the number 72396 divisible by 6?
The number is even so it is divisible by 2
7+2+3+9+6=27
2+7=9
9÷3=3 so 72396 is divisible by 3
Because the number is divisible by both 2 and 3 then it must be divisible by 6 / yes
4. Is the number 6024 divisible by 9?
6+0+2+4=12
12÷9=1.3333 so 6024 is not divisible by 9 / no
A1: ______Model and use power, base and exponent to represent repeated multiplication
5. Find the missing number – Don’t forget to show your work!
b)2__ = 16 _____4____
2 x 2 x 2 x 2 = 16 so the exponent is 4 because there are 4 2’s being multiplied together
b) 54 = _____ ___625______
5x5x5x5= / c) __2 = 81 = __9______
9x9=81
d) 46 = = __4096______
4x4x4x4x4x4
6. Write the following in exponential notation:
a) 4 x 4 x 4 x 4 x 4 x 4 = 46
b) 6 x 6 x 6 x 6 = 64
d) 2 x 2 x 2 x 2 x 2 = 25
e)13 x 13 x 13 x 13 x 13 x 13 x 13 x 13 x 13 = 139
A2: ______Rename numbers among exponential, standard and expanded forms
7. Write the following numbers in expanded form
d)692 = (6 x 100) + (9 x 10) + (2 x 1) or (6 x 102) + (9 x 101) + (2 x 100)
e)98720 = (9 x 10 000) + (8 x 1000) + (7 x 100) + (2 x 10)
f)4 209 356 = (4 x 1 000 000) + (2 x 100 000) + (9 x 1000) + (3 x 100) + (5 x 10) + (6 x 1)
8. Write the following numbers in expanded form
d)(6 x 100) + (9 x 10) + (2 x 1) = 692
e)(5 x 10 000) + (4 x 100) + (9 x 10) + (3 x 1) = 50493
f)(3 x 103) + (8 x 102) + (3 x 101) + (1 x 100) = 3831
A4: ______Solve and create problems using common factors and greatest common factors
Final Answer
9. Find the GCF of 12 and 18 by using prime factorization.I can’t type factor trees on the computer…see textbook for example
If you make a factor tree for 12 you will find the prime factors are 2, 2, 3
If you make a factor tree for 18 you will find the prime factors are 2, 3, 3
Then…
12 = 2 x 2 x 3
18 = 2 x 3 x 3
Look at what the two have in common (generally we circle what is in common)….in this case a 2 and a 3
So GCF = 2 x 3 = 6 / GCF = 6
10. Find the GCF of 25 and 50 by listing the factors.
25 1, 5, 25
50 1, 2, 5, 10, 25, 50
The two numbers have 1, 5 and 25 in common but we are looking for the greatest common factor so…
GCF = 25 / GCF = 25
A5: ______Solve and create problems using common multiples and least common multiples
11. Find the LCM of 10 and 15 using prime factorization.
Again cannot type factor trees
Prime factors of 10 are 2, 5
Prime factors of 15 are 3, 5
So…
10 = 2 x 5
15 = 5 x 3
Circle the factors in common in this case 5. But because we are finding the LCM we use the common factor and the leftovers. So…
LCM = 2 x 5 x 3 = 30 / LCM = 30
12. Find the LCM of 5 and 7 by listing the multiples.
5 5, 10, 15, 20, 25, 30, 35, 40, 45, …..
7 7, 14, 21, 28, 35
We found the first common multiple…
LCM = 35 / LCM = 35
A3: ______Re-write large numbers from standard from to scientific notation and vice versa
13. Write each number in scientific notation
e)87 000 = 8.7 x 104
f)7 090 000 = 7.09 x 106 / 65.7 x 102 = 6.57 x 103
g)986854 = 9.87 x 105
14. Write each number in standard form
e)2.4 x 103 = 2400
f)7.45 x 102= 745 / g)7.5 x 106 = 7500000
h)6.29 x 101 = 62.9
GOOD LUCK STUDYING!!
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