
Skill  Sample Problem  Notes  Videos  Practice 

Preparing for a Math Test 





Taking a Math Test 





WHOLE NUMBERS





BA1 
Identifying the Place Value of a Digit 
Give the place value of the underlined digit: 12,034,567 



BA2 
Identifying the Value of a Digit 
Give the value of the underlined digit: 301,876,123 



BA3 
Writing Numerals Given Word Names 
Write the numeral corresponding to:
eight thousand one hundred sixty seven




BA4 
Writing Word Names Given Numerals 
Give the word name for 9,045. 



BA5 
Adding Whole Numbers 
Add: 3,056 + 32,005 



BA6 
Subtracting Whole Numbers 
Subtract: 10,874 – 7,968 



BA7 
Multiplying Whole Numbers
Multiplying Whole Numbers with Trailing Zeros

Multiply: 348 x 712 



BA8 
Raising Whole Numbers to Nonzero Whole Numbers 
Evaluate: 5^{3} 



BA9 
Dividing Whole Numbers 
Divide:56 ÷ 7 



BA10 
Performing Long Division on Whole Numbers 
Divide: 63,107 ÷ 28 



BA11 
Performing Combined Operations on Whole Numbers 
Evaluate: 2^{3} · 4 – 28 ÷ 7 · 3 (7–3)^{2}– 3 · 2 



BA12 
Rounding Whole Numbers 
Round 823,477 to the nearest ten thousand. 



BA13 
Estimating 
Estimate by first rounding each addend to the nearest hundred:
1208 + 681 + 10,450




BA14 
Determining the Divisibility of a Whole Number 
Determine if 201,120 is divisible by 2, by 3, and by 5. Explain why or why not. 



BA15 
Finding the Prime Factorization of a Whole Number 
Write the prime factorization of 480. 



BA16 
Finding the Greatest Common Factor (GCF) 
Use the method of prime factorization to find the GCF of 20, 28, and 52. 



BA17 
Finding the Least Common Multiple (LCM) 
Use the method of prime factorization to find the LCM of 12, 20, and 36. 



BA18 
Finding the GCF and LCM 
Use the method of prime factorization to find the GCF and LCM of 8, 12, 20, and 32. 




FRACTIONS





BA19 
Simplifying Fractions 
Simplify:
72 120




BA20 
Multiplying Fractions 
Multiply:
18 . 20 7 54




BA21 
Multiplying a Whole Number and a Fraction 
Multiply: 12 · ^{3}/_{4} 



BA22 
Multiplying Three or More Fractions 
Multiply: ^{5}/_{3} · ^{2}/_{7} · 14 · ^{9}/_{10} 



BA23 
Dividing Fractions 
Divide:
^{24}/_{60} ÷ ^{40}/_{15} 



BA24 
Adding Fractions with the Same Denominator 
Add:
^{7}/_{5} + ^{3}/_{25} + ^{9}/_{25} 



BA25 
Subtracting Fractions with the Same Denominator 
Subtract:
^{42}/_{17}  ^{8}/_{17}




BA26 
Writing Equivalent Fractions 
Write ^{3}/_{5} as a fraction with denominator of 60. 



BA27 
Finding the Least Common Denominator 
Find the LCD of ^{3}/_{8} , ^{1}/_{4 }, and ^{5}/12. 



BA28 
Adding/Subtracting Fractions with Different Denominators 
Evaluate:
^{4}/_{5} + ^{3}/_{10}  ^{2}/_{15}




BA29 
Raising Fractions to Nonzero Whole Numbers 
Evaluate:
(^{3}/_{4})^{2}




BA30 
Performing Combined Operations on Fractions I 
Evaluate:
^{1}/_{3} · ^{1}/_{4} + ^{3}/_{2} ÷ ^{1}/_{8}




BA31 
Performing Combined Operations on Fractions II 
Evaluate:
(^{2}/_{3}  ^{1}/_{2}) ÷ (^{5}/_{6} + ^{1}/_{4})




BA32 
Simplifying Complex Fractions 
Evaluate:
^{1}/_{2}  (^{1}/_{2})^{2} / (1  ^{1}/_{2})^{2}





MIXED NUMBERS





BA33 
Mixed Numbers and Improper Fractions 
Write ^{13}/_{4} as a mixed number.
Write 2 ^{4}/_{5} as an improper fraction.




BA34 
Simplifying Mixed Numbers 
Simplify: 12 ^{8}/_{20}
Simplify: 5 ^{10}/_{7}




BA35 
Multiplying Mixed Numbers 
Multiply: 2 ^{2}/_{3} · 2 ^{1}/_{4} 



BA36 
Dividing Mixed Numbers 
Divide: 3 ^{1}/_{8} ÷ 3 ^{3}/_{4} 



BA37 
Adding Mixed Numbers: Same Denominator 
Add: 4 ^{5}/_{7} + 2 ^{3}/_{7} 



BA38 
Adding Mixed Numbers: Different Denominators 
Add: 3 ^{1}/_{2} + 4 ^{1}/_{3} + 1 ^{5}/_{6} 



BA39 
Subtracting Mixed Numbers I 
Subtract: 16 ^{3}/_{4}  9 ^{1}/_{4} 



BA40 
Subtracting Mixed Numbers II 
Subtract: 7 ^{3}/_{8}  2 ^{3}/_{4} 



BA41 
Subtracting a Mixed Number from a Whole Number 
Subtract: 11  3 ^{2}/_{5} 



BA42 
More on Adding/Subtracting Mixed Numbers 
Evaluate:
3 ^{1}/_{3} + 2 ^{1}/_{2} + 4 ^{1}/_{4}




BA43 
Raising Mixed Numbers to Nonzero Whole Numbers 
Evaluate:
(1 ^{1}/_{2})^{3}




BA44 
Performing Combined Operations on Mixed Numbers 
Evaluate:
4 ^{1}/_{4} ÷ (4 ^{1}/_{2} + 2 ^{1}/_{4})




BA45 
Simplifying Complex Fractions Involving Mixed Numbers 
Evaluate:
1 ^{1}/_{5} + 2 ^{3}/_{10 } / 4  1 ^{7}/_{10}





DECIMAL NUMBERS





BA46 
Naming the Place Value of a Digit 
Give the place value of the underlined digit:
612.06783




BA47 
Identifying the Value of a Digit 
Give the value of the underlined digit:
12,354.103591




BA48 
Writing Word Names Given the Decimal Numbers 
Write the word name for 72.00452 



BA49 
Writing Decimal Numbers Given the Word Names 
Write the decimal number for:
Thirty four and two hundred twelve hundred millionths




BA50 
More on Word Names and Decimal Numbers 




BA51 
Comparing Decimal Numbers 
Arrange from smallest to largest:
30.304, 303.04, 0.30304, 0.0030404




BA52 
Rounding Decimal Numbers 
Round 321.078456 to the nearest ten thousandth 



BA53 
Adding/Subtracting Decimal Numbers 
Evaluate: 10.556 + 201.0678 + 32  160.047 



BA54 
Multiplying Decimal Numbers 
Multiply: 0.02 x 0.003 x 1.2 



BA55 
Dividing Decimal Numbers 
Divide: 153.056 ÷ 0.12 



BA56 
Raising Decimal Numbers to Nonzero Whole Numbers 
Evaluate: (0.1)^{8} 



BA57 
Performing Combined Operations on Decimal Numbers 
Evaluate: (0.2)^{2}  (0.02)^{3} 




FRACTIONS AND DECIMALS





BA58 
Writing a Terminating Decimal as a Fraction 




BA59 
Writing a Fraction as a Decimal 





RATIOS, RATES, PROPORTIONS





BA60 
Writing Ratios as Fractions in Lowest Terms 




BA61 
Finding Rates/Unit Rates 




BA62 
Understanding What Proportions Are 




BA63 
Solving Proportions 




BA64 
Solving Word Problems Involving Proportions 





PERCENTS, FRACTIONS, DECIMALS





BA65 
Understanding Percent 




BA66 
Writing a Fraction as a Percent 




BA67 
Writing a Percent as a Fraction 




BA68 
Writing a Decimal as a Percent 




BA69 
Writing a Percent as a Decimal 




BA70 
Converting PercentFractionDecimal 





PERCENT APPLICATIONS





BA71 
Solving Simple Percent Problems 




BA72 
Solving Word Problems Involving Percent 





GEOMETRY APPLICATIONS





BA73 
Finding the Perimeter of a Square/Rectangle 




BA74 
Finding the Area of a Square/Rectangle 




BA75 
Finding the Circumference of a Circle 




BA76 
Finding the Area of a Circle 




BA77 
Finding the Volume of a Rectangular Prism 





OTHER TOPICS





BA78 
Using Correct Vocabulary 




BA79 
Translating and Evaluating Verbal Expressions 



