Podcast
Questions and Answers
What is the next number in the pattern: 2, 5, 8, 11, 14?
17
What is the value of 5 dimes?
50 cents
What is the missing number in the sequence: 2, 4, 6, 8, __?
10
If Sally has 12 pencils and she gives 4 to her friend, how many pencils does Sally have left?
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What is the shape of a circle?
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What is the time if the hour hand is on the 5 and the minute hand is on the 12?
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If I have 5 groups of 3 blocks, how many blocks do I have in total?
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What is the length of a pencil that is 5 inches longer than a pencil that is 7 inches?
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What is the pattern of the days of the week?
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What is the percentage of 3/4 when converted to a percentage?
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A shirt is on sale for 15% off. What percentage of the original price will you pay if you buy it?
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What is the equivalent ratio of 2:5?
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A recipe calls for a 2:3 ratio of flour to sugar. If you need 4 cups of flour, how many cups of sugar do you need?
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What is the simplified form of the fraction 9/12?
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What is the result of multiplying 1/2 by 3/4?
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What is the result of dividing 2/3 by 3/4?
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What is the percentage increase if a number increases from 50 to 60?
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What is the mixed fraction form of the improper fraction 7/4?
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Study Notes
Numbers and Operations

Number sense:
 Counting numbers up to 1000
 Identifying even and odd numbers
 Comparing numbers using greater than, less than, and equal to

Addition and subtraction:
 Basic facts within 20 (e.g. 2+2, 53)
 Adding and subtracting multiples of 10 (e.g. 10+20, 5030)
 Solving simple word problems using addition and subtraction

Multiplication and division:
 Introducing basic multiplication facts (e.g. 2 x 3, 5 x 2)
 Understanding basic division concepts (e.g. sharing, grouping)
Shapes and Measurement

Geometry:
 Identifying and naming basic shapes (e.g. square, rectangle, triangle, circle)
 Recognizing shapes in realworld objects
 Understanding basic shape properties (e.g. number of sides, number of corners)

Measurement:
 Measuring lengths using units (e.g. inches, centimeters)
 Comparing lengths using longer/shorter and equal
 Introducing basic time concepts (e.g. days of the week, months)
Data and Patterns

Data:
 Collecting and organizing data
 Creating simple bar graphs and picture graphs
 Answering basic questions using data

Patterns:
 Identifying and extending patterns using shapes, colors, and numbers
 Creating simple patterns using everyday objects
Money and Time

Money:
 Identifying and counting coins (e.g. pennies, nickels, dimes)
 Understanding basic money concepts (e.g. value, equivalent amounts)

Time:
 Telling time to the hour and half hour
 Understanding basic time concepts (e.g. AM/PM, morning/afternoon)
Numbers and Operations
 Counting numbers up to 1000
 Identifying even and odd numbers
 Comparing numbers using greater than, less than, and equal to
 Basic addition and subtraction facts within 20
 Adding and subtracting multiples of 10
 Solving simple word problems using addition and subtraction
 Introducing basic multiplication facts
 Understanding basic division concepts
Shapes and Measurement
 Identifying and naming basic shapes: square, rectangle, triangle, circle
 Recognizing shapes in realworld objects
 Understanding basic shape properties: number of sides, number of corners
 Measuring lengths using units: inches, centimeters
 Comparing lengths using longer/shorter and equal
 Introducing basic time concepts: days of the week, months
Data and Patterns
 Collecting and organizing data
 Creating simple bar graphs and picture graphs
 Answering basic questions using data
 Identifying and extending patterns using shapes, colors, and numbers
 Creating simple patterns using everyday objects
Money and Time
 Identifying and counting coins: pennies, nickels, dimes
 Understanding basic money concepts: value, equivalent amounts
 Telling time to the hour and half hour
 Understanding basic time concepts: AM/PM, morning/afternoon
Percentage
 A percentage is a way to express a value as a fraction of 100
 To convert a fraction to a percentage, multiply by 100
 To convert a percentage to a fraction, divide by 100
 Percentage can be used to express increase or decrease in value
 It can also be used to find a percentage of a quantity
 Common applications of percentage include discounts and sales, interest rates, and grades and marks
Ratios
 A ratio is a comparison of two quantities
 There are two types of ratios: parttopart ratio and parttowhole ratio
 Parttopart ratio compares two parts of a whole
 Parttowhole ratio compares one part to the entire whole
 Equivalent ratios have the same value
 Example: 2:3 is equivalent to 4:6
 Ratios are used in reallife situations such as recipes and cooking, mixing and blending, and scaling and proportions
Fractions
 A fraction is a way to represent a part of a whole
 There are three types of fractions: proper, improper, and mixed fractions
 Proper fraction has a numerator less than the denominator
 Improper fraction has a numerator greater than or equal to the denominator
 Mixed fraction is a combination of a whole number and a proper fraction
 To add or subtract fractions, they must have the same denominator
 To multiply fractions, multiply the numerator and denominator separately
 To divide fractions, invert and multiply
 Fractions can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD)
 Example: 6/8 can be simplified to 3/4
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Description
Test your understanding of basic math operations, including number sense, addition, subtraction, multiplication, and division. Practice counting, comparing, and solving simple word problems.