Math Benchmark Test - Study Notes

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Questions and Answers

Ned counted 82 cars and trucks in a parking lot. If there were 25 trucks, how many cars did he count?

  • 67 cars (correct)
  • 107 cars
  • 57 cars
  • 63 cars

Tyler has 86 marbles and buys a bag with 25 more. Which equation shows how many marbles he has now?

  • 86 - â–¡ = 25
  • â–¡ + 25 = 86
  • 86 + 25 = â–¡ (correct)
  • 86 - 25 = â–¡

Caroline has 31 students and already baked 10 cupcakes. How many more cupcakes must she bake?

  • 31
  • 21 (correct)
  • 22
  • 10

There were 143 cars in a parking lot, and 10 more arrived. How many cars are in the lot now?

<p>153 cars (C)</p> Signup and view all the answers

Josh had 300 crayons and lost 10. How many does he have left?

<p>290 (A)</p> Signup and view all the answers

Reed has 5 hundreds blocks, 3 tens blocks, and 7 ones blocks. Which total shows the number of base-ten blocks Reed has now?

<p>807 (B)</p> Signup and view all the answers

There are 315 boys at Jo’s school and 100 fewer girls. How many girls are there?

<p>215 (A)</p> Signup and view all the answers

A student said 10 more than 639 is 739. What did they do wrong?

<p>The student found the number that is 100 more than 639. (C)</p> Signup and view all the answers

Jamar has 3 bags of pennies. The first bag has 47 pennies and the second bag has 48 pennies. The third bag has 10 fewer pennies than the first bag. Which shows how Jamar can find how many pennies he has in all?

<p>47 + 48 + 37 = 132 (B)</p> Signup and view all the answers

After Kip adds 231 + 109, he writes the sum on the place value chart below. What number does the sum have in the tens place?

HUNDREDS TENS ONES

<p>4 (A)</p> Signup and view all the answers

Reed has 8 hundreds blocks, 3 tens blocks, and 5 ones blocks. If he adds 4 hundreds blocks, 3 tens blocks, and 5 ones blocks, what will his total be?

<p>1385 (D)</p> Signup and view all the answers

Cory used base-ten blocks to show the number 978. He wants to make a new number by subtracting 4 hundreds and 9 ones. Which picture shows Cory’s new number?

<p>C (A)</p> Signup and view all the answers

Pedro's Collections

Rocks 23 Feathers 16 Shells 38

Look at the table and determine how many rocks, feathers, and shells Pedro collected.

<p>77 (A)</p> Signup and view all the answers

Which base ten blocks below show the answer to 29 + 26? Choose ALL that are correct.

<p>B (A), A (C)</p> Signup and view all the answers

If a bag of marbles contains 25 marbles, how many marbles are in 3 bags?

<p>75 (B)</p> Signup and view all the answers

A bakery made 125 cookies on Monday and 138 cookies on Tuesday. How many cookies did the bakery make in total?

<p>263 (C)</p> Signup and view all the answers

What is the sum of 14 and 17?

<p>31 (C)</p> Signup and view all the answers

If Charlotte and Philip give 14 crayons away, how many crayons do they have left in total?

<p>68 crayons (D)</p> Signup and view all the answers

Which of these numbers is in the same fact family as 18 - 8 = 10?

<p>10 + 8 = 18 (B)</p> Signup and view all the answers

What is the difference between 18 and 8?

<p>10 (D)</p> Signup and view all the answers

If Ned counts 12 cars and 5 trucks, how many vehicles does he count in total?

<p>17 (C)</p> Signup and view all the answers

What is the missing number in the equation 10 + __ = 18?

<p>8 (D)</p> Signup and view all the answers

If Amy gives away 5 of her cats, how many cats does she have left?

<p>9 (B)</p> Signup and view all the answers

Which number sentence shows how many crayons Charlotte had after giving some away?

<p>29 - 14 = 15 (D)</p> Signup and view all the answers

In which addition problem will regrouping be necessary from the tens place to the hundreds place?

<p>163 + 281 (B)</p> Signup and view all the answers

Jim adds 178 + 97. What is true about the sum?

<p>The digit 5 is in the tens place. (A)</p> Signup and view all the answers

Which shows the correct answer for 762 - 337?

<p>325 (B)</p> Signup and view all the answers

What is required to perform the subtraction 83 - 59?

<p>Ramiro will have to regroup 1 ten to 10 ones because you can't subtract 9 from 3. (D)</p> Signup and view all the answers

Which addition sentence can be used to solve 218 + 169?

<p>The addition sentence 200 + 100 + 10 + 60 + 8 + 9 =? can also be used to solve the problem above. (A), The addition sentence 169 + 218 =? can also be used to solve the problem above. (D)</p> Signup and view all the answers

Pete is solving the number sentence 45 + 87 + 22. Rachel says she will get the same answer by solving 87 + 22 + 45. Is Rachel correct?

<p>Yes, Rachel is correct because the order in which you add numbers does not matter, so both Pete and Rachel will get the same answer. (B)</p> Signup and view all the answers

What is the sum of 178 + 97?

<p>275 (B)</p> Signup and view all the answers

What is the difference between 762 and 337?

<p>325 (B)</p> Signup and view all the answers

Flashcards

Total numbers in parking lot

Ned counts 82 cars and trucks total, with 25 trucks.

Josh's crayon count

Josh lost 10 crayons from 300.

Marbles calculation

Tyler started with 86 marbles and bought 25 more.

Cupcakes needed

Caroline bakes for 31 students, having made 10 cupcakes.

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Girls at Jo's school

There are 315 boys and 100 fewer girls.

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Cars added to parking lot

143 cars initially, 10 more come in.

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Mistake in addition

Student claims 10 more than 639 equals 739.

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Base-ten blocks summary

Reed adds 4 hundreds, 3 tens, and 5 ones.

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Regrouping in Addition

Switching numbers between place values to add correctly.

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Hundreds Place in Sum

The digit in the hundreds place represents the value in the hundreds in a number.

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Finding Differences in Subtraction

The process of determining how much more one number is than another.

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Regrouping in Subtraction

Borrowing from the next highest place value to perform subtraction.

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Commutative Property of Addition

The order of numbers in addition does not change the sum.

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Decomposing Numbers in Addition

Breaking numbers into parts to make adding easier.

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Addition Sentence Interpretation

Understanding the meaning behind the numbers in an addition problem.

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Number Sentence Order

Changing the order of numbers in an addition or subtraction sentence affects the process but not the sum.

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Fact Family

A group of related math sentences that use the same numbers.

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18 - 8 = 10

This is one part of the fact family including addition and subtraction.

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Total Cats

The sum of the number of cats that Amy and Craig have.

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14 cats + 17 cats

Calculation to find the total number of cats owned by Amy and Craig.

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Crayon Sharing Problem

A situation where Charlotte and Philip share their crayons and give some away.

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Total Crayons Left

The remaining number of crayons after sharing.

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Parking Lot Count

The act of counting cars and trucks in a parking lot.

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Benchmark Test Instructions

Guidelines to follow while answering questions on the test.

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Total number of blocks Reed has

The total showing how many base-ten blocks Reed currently possesses.

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Jamar's bags of pennies

Jamar has 3 bags, with the third bag holding 10 fewer pennies than the first.

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Determining tens place in sum

The number that appears in the tens place of the sum from adding 231 and 109.

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Base-ten representation of 978

Cory used blocks to represent the number 978, then he subtracts 4 hundreds and 9 ones.

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Pedro's collections total

Calculate the total number of rocks, feathers, and shells collected by Pedro.

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Base-ten blocks for addition

Base ten blocks showing the sum of 29 + 26.

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Finding Jamar's total pennies

The expression to calculate the total number of pennies in Jamar's bags.

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Place value chart

A chart used to organize numbers by their thousands, hundreds, tens, and ones place.

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Study Notes

Math Benchmark Test - Study Notes

  • Test Format: The test contains various question types, covering math concepts learned. Some problems might have multiple correct answers.
  • Test Instructions: Read questions and answer choices carefully. Use available tools effectively. Save your work after each question, and review your answers before submitting.
  • Fact Family Examples: Fact families emphasize relationships between addition and subtraction facts. For example, 18 - 8 = 10; 10 + 8 = 18; 8 + 10 = 18; 18 - 10 = 8.
  • Multi-Step Problems: Some problems require multiple steps to reach the answer.
  • Word Problems: Many questions are word problem-based, demanding reading and comprehension skills to solve problems.
  • Math Tools: The test will have tools to help with the problems. Use the tools effectively.
  • Regrouping (Carrying/Borrowing): Some problems necessitate regrouping (carrying/borrowing) in the addition and subtraction processes.
  • Base-Ten Blocks: The test may use diagrams representing base-ten blocks to illustrate mathematical concepts and problem-solving strategies.
  • Number Sentences: Problem-solving includes using correct number sentences (equations) to show the calculations performed.
  • Order of Operations: The order in which calculations are performed and number placement within numerical expressions are important to the problems.
  • Problem Solving Strategies: The student should use appropriate problem-solving strategies to determine correct answers.
  • Checking for Accuracy: Students should review answers for accuracy prior to submitting their responses.
  • Important Concepts: The materials cover addition, subtraction, finding total amounts, working with multi-step problems, identifying numerical relationships, and base-ten block analysis.

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