Math review question database
Questions with hints & answers
Questioning is the basis of all learning.
Overview
Introduction
This page includes 105 questions to review the use of arithmetic to solve problems with its operations and many algorithms. Each problem includes hints that suggest different solutions and ways to remember and apply them to different problems.
I have used these questions and similar ones in many different ways. One of the most successful to maximize individual learners achievement is to put one question on a card, randomize them, and play a board race game with a pair of learners or slighly larger group. A card is drawn and all players solve the problem and get to role a die if they solve the problem and accurately explain their solution. Depending on the learners and their responses an appropriate mini lesson can be provided as necessary. The hints on the cards provide suggestions and references for the type of mini lesson to provide.
Playing suggestions
- You might want to reduce the number of cards and add additional ones depending on the needs of the learners with which you are working.
- While, I start with a randomized deck. If learners have a difficult time with a question, I might insert it a few cards below in the unused deck to review it sooner than later.
- If learners, struggle with a type of problem, you can have them write a similar problem on a blank card to use later in the game or in later games.
- Can let learners create their own cards and decks to challenge each other. If you need to add a bit of control to the kinds of problems they create, require them to include hints and solutions. Can use front and back of card.
- The problems included in Type of addition & subtraction problems are to review the syntac used for the different types of addition and subtraction problems. As learners fluent with them and the basic facts, they should be able to solve them with an initial reading and maybe a quick review of the numbers and a key word or two.
Enjoy!
Number values
Question 1
Display 4.809
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
four and eight hundred nine thousandths
Question 2
Display 4.3
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
four and three tenths
Question 3
Display 4.807
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
four and eight hundred seven thousandths
Question 4
Display 4.7
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
four and seven tenths
Question 5
Display. 4.54
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
four and fifty-four hundredths
Question 6
Say. four and eight hundred nine thousandths.
Ask. Write the number.
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
4.809
Question 7
Say. four and fifty-four hundredths.
Ask. Write the number.
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
4.54
Question 8
Say. four and three tenths.
Ask. Write the number.
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
4.3
Question 9
Say. four and eight hundred seven thousandths.
Ask. Write the number.
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- The only time to say and is between the whole numbers and the decimal numbers.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
4.807
Question 10
Say. four and seven tenths.
Ask. Write the number.
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
- The only time to say and is between the whole numbers and the decimal numbers.
Answer
four and seven tenths
Question 11
Display 3 1/2
Ask. What is the number?
Hints
- Saying, reading, & writing numbers plan & worksheets
- The only time to say and is between the whole numbers and the fractional number.
Answer
three and one half
Question 12
Display: 1/2, 1/4, 3/4
Say. This is a three part question need to get all three right.
What percent is one half? one fourth? and three fourths?
Hints
- Think of money
- A quarter is what part of a dollar?
- One dollar is how many pennies?
- A quarter is how many pennies?
- 1/2 of a dollar or 2 quarters is how many pennies?
- 3/4 of a dollar or 3 quarters is how many pennies?
Answer
50%, 25%, 75%
Question 13
Display. 4/6, 8/4, 19/5
Say. four sixths, eight fourths, nineteen fifths.
Ask. Reduce the fractions.
Hints
- Divide with factors of one.
- 4/6 ÷ 2/2
- Can be read from top to bottom as a division problem. 4/2 ... Read as Four divided by 2, which is equal to two.
- Fraction and decimal number values and equivalents.
Answer
4/6 = 2/3
8/4 = 2
19/5 = 3 4/5
Question 14
Display 2,628,506.407
Ask. What is this decimal number?
Hints
- Learn the place values.
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- The only time to say and is between the whole numbers and the decimal numbers.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
two million, six hundred twenty-eight thousand, five hundred six and four hundred seven thousandths
Question 15
Say. Someone copied and wrote 6,983. When they did, they wrote a nine instead of a six.
Ask. How big an error did they make?
Hints
- Think place value
- What is the difference between thenumbers?
- Identify the place value of the miss written number.
- Figure the value difference for that place.
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
300
Question 16
Display. 1/2, 1/4, 3/4
Say. one half, one fourth, three fourths.
Ask. Change the fractions to decimal numbers.
Hints
- Think of the fraction as tenths
- Think of the fraction as hundredths
- Consider the fraction as a division problem. Numerator divided by the denominator. 2|1.0 = .5
- Fraction and decimal number values and equivalents.
- Saying, reading, & writing numbers plan & worksheets
Answer
1/2 = .5
1/4 = .25
3/4 = .75
Question 17
Say. One million, six hundred twenty-five thousand, seven hundred thirty-four and thirty-five hundredths.
Ask. Write the number.
Hints
- Learn the place values.See worksheets on Saying, reading, & writing numbers and lesson plan with worksheets
- Remember there is only one ones (units).
- The decimal point is a marker, NOT a place.
- The only time to say and is between the whole numbers and the decimal numbers.
Answer
1,625,734.35
Question 18
Display & Say. 8 Orange rods, 2 white cubes, 4 Orange squares, and 3 Orange cubes.
Ask. What is the total number of white cubes represented in this collection?
Hints
- Learn the place values. See worksheets on Saying, reading, & writing numbers and lesson plan with worksheets
Answer
3,482
Question 19
Display 8 Orange rods, 2 white cubes, 4 Orange squares, and 3 Orange cubes.
Ask. What is the total value in this collection if the Orange cube, represents one?
Hints
- Learn the place values. See worksheets on Saying, reading, & writing numbers and lesson plan with worksheets
Answer
3.482
Addition & subtraction
Question 1
Display 5 + 5 = ?
Ask. What is the sum?
Hints
- Think of one hand + one hand = two hands
- For smaller basic facts use dot plates.
- For memorizing basic facts review this page
- Connecting addition and subtraction to number value
Answer
5 + 5 = 10
Question 2
Ask. What are the addends (positive integers) that sum to 5?
Hints
- Think of two addends with a sum of five.
- Say 1 + 4.
- Then add one to one and subtract one from the other. 2 + 3.
- Then continue till use all integers from 0 to the number (sum). 0+5, 1+4, 2+3, 3+2, 4+1, 5+0.
- For smaller basic facts use dot plates.
- For memorizing basic facts review this page
- Connecting addition and subtraction to number value
Answer
0 + 5; 1 + 4; 2 + 3; 3 + 2; 4 + 1; 5 + 0.
Question 3
Display 7/8 - 3/8 =
Ask. What is the difference between 7/8 and 3/8?
Hints
- Think of eights as apples or oranges what is the diffrerence between 7 apples and 3 apples?
- 4 apples
- Four out of a group of 8 is 1/2
- Development of fractions
Answer
4/8 or four eights
Or 1/2
Question 4
Ask. What are the addends (positive integers) that sum to 3?
Hints
- Think of two addends with a sum of three.
- Say 1 + 2.
- Then add one to one and subtract one from the other. 2 + 1.
- Then continue till use all integersf from 0 to the number (sum). (3) 0+3, 1+2, 2+1, 3+0.
- For smaller basic facts use dot plates.
- For memorizing basic facts review this page
- Connecting addition and subtraction to number value
Answer
0 + 5; 1 + 4; 2 + 3; 3 + 2; 4 + 1; 5 + 0.
Question 5
Display 78. - 67.5 =
Ask. What is the difference between seventy-eight and eight tenths and sixty-seven and five tenths?
Hints
- Could also think of as Chris has a free throw average of 78.8 percent and Brett has 67.5. WHat is the difference?
- Break the problem into ones and tenths.
- Ask whatis the difference between 78 and 67?
- Ask what is the difference between five tenths and eight tenths?
- Combine the two.
- Strategies for multidigit addition and subtraction.
- Development of decimals
Answer
11.3 or eleven and three tenths
Question 6
Display 1/3 + 3/5 + 1/2 =
Say. What is the sum of 1/3 + 3/5 + 1/2.
Hints
- Can't add different fractional denominators (downstairs number).
- Like Can't add thirds & fifths.
- Can't add apples and oranges.
- Need to change to fruits.
- Need to find a common denominator. (3&5 15? or 5&2. 10? or 3&10 30?
- Add the numerators to find the total number or 30ths.
- 43/30 ths. Which is more than one 30/30ths. Can think of it as a unfinished division problem 43 divided by 30, which is 1 and 13/30ths.
- Development of fractions
Answer
10/30 + 18/30 + 15/30 = 43/30 or 1 13/30
Question 7
Display 2/3 + 4/5 + 1/2 =
Say. What is the sum of 2/3 + 4/5 + 1/2.
Hints
- Can't add different fractional denominators (downstairs number).
- Like Can't add thirds & fifths.
- Can't add apples and oranges.
- Need to change to fruits.
- Need to find a common denominator. (3&5 15? or 5&2. 10? or 3&10 30?
- Add the numerators to find the total number or 30ths.
- 59/30 ths. Which is more than one 30/30ths. Can think of it as a unfinished division problem 59 divided by 30, which is 1 and 29/30ths.
- Development of fractions
Answer
20/30 + 24/30 + 15/30 = 59/30 or 1 29/30
Question 8
Display 82,314 - 4,526
Say. What is the difference between eighty two thousand, three hundred fourteen and four thousand, five hundred twenty-six?
Answer
77,788
Question 9
Display. 12 for 5¢ ; 3 for 25¢
$2.00
Say. At a flea market you buy 12 Legos for 5 cents and three others for a quarter. You pay with two dollars. How much change should you get?
Hints
- Strategies for multidigit addition and subtraction.
- Add 60 and 75
Answer
65 ¢
Question 10
Display 5/6 - 4/6 = ?
Say. What is the difference between five sixths and four sixths?
Hints
- Can add similar fractional denominators (downstairs number).
- Like thirds & thirds.
- Like apples and apples.
- Add the numerators to find the total number of sixths.
- Development of fractions
Answer
1/6
Question 9
Display. quarter + .45 + 1.85 + .49
Say. At a flea market you buy four things. One for a quarter, another for forty-five cents another for one dollar and eighty-five cents and another for forty-nine cents. How much are they together?
Hints
- Write each as money.
- Think of as pennies or hundredths of dollars.
- Make all fives and tens by adding .01 to .49 and get .50, then add all four and subtract .01
- Add the appropriate place values.
- Don't forget the decimal.
- Strategies for multidigit addition and subtraction.
- Strategies for decimal operations.
Answer
$3.04
Question 10
Display. 6,000 − 23
Say. What is six thousand minus twenty-three?
Hints
- Break the problem into two steps.
- Use nice numbers.
- Think 6,000 - 20
- Then count back three.
- Strategies for multidigit addition and subtraction.
Answer
5,977
Question 11
Display 85.06 − 49.97 =
Ask. What is the difference between eighty-five and six hundredths and forty-nine and ninety-seven humdredths?
Hints
- Could also think of the values as dollars and cents.
- Break the problem into wholes and hundredths.
- WHen try to subtract ninety-seven hundredths and there is only six hundredths, then change 85.06 to 84.00 and 1.06.
- Subtract .97 from 1.06.
- Subtract 49 from 84.
- Combine the two.
- Strategies for multidigit addition and subtraction.
- Development of decimals
Answer
35.09
Question 12
Display 1,076,924 − 987,135
Say. What is the difference between one million seventy-six thousand, nine hundred twenty-four And nine hundred eighty-seven thousand, one hundred thirty-five?
Answer
77,788
Question 13
Display 31.4 − 18.66 =
Ask. What is the difference between thirty-one and four tenths and eighteen and sixty-six hundredths?
Hints
- Could think of the values as dollars and cents.
- Break the problem into wholes and hundredths.
- When try to subtract sixty-six hundredths and there is only forty hundredths, change 31.4 to 30.0 and 1.4.
- Subtract .66 from 1.40.
- Subtract 18 from 30.
- Combine the two.
- Strategies for multidigit addition and subtraction.
- Development of decimals
Answer
12.74
Question 14
Display 70,482 − 42,854
Say. What is the difference between seventy thousand, four hundred eight-two and forty-two thousand eight hundred fifty-four?
Answer
27,628
Question 15
Display. Ninety minus eight-four hundredths.
Say. What is ninety minus eight-four hundredths.
Hints
- Consider each as money.
- Break 90 into 89. + 1.00
- Think of the one as pennies or hundredths of dollars.
- Count up from .84 to 1.00 to find the difference.
- Add the left over to the 89.
- Or. Add the appropriate place values.
- Don't forget the decimal.
- Strategies for multidigit addition and subtraction.
- Strategies for decimal operations.
Answer
$3.04
Question 16
Display. forty minus nineteen hundredths.
Say. What is forty minus nineteen hundredths.
Hints
- Consider each as money.
- Break 40 into 39. + 1.00
- Think of the one as pennies or hundredths of dollars.
- Count up from .19 to 1.00 to find the difference.
- Add the left over to the 39.
- Or. Add the appropriate place values.
- Don't forget the decimal.
- Strategies for multidigit addition and subtraction.
- Strategies for decimal operations.
Answer
39.81
Question 17
Display 2/3 − 1/4 =
Say. What is the difference between 2/3 and 1/4?
Hints
- Can't subtract different fractional denominators (downstairs number).
- Like Can't subtract thirds & fourths.
- Can't subtract apples and oranges.
- Need to change to fruits.
- Need to find a common denominator.
- 3&4 is 12 and 4&3 is 12
- Subtract the numerators to find the difference in 12ths.
- Development of fractions
Answer
2/3 - 1/4 = 5/12
Multiplication & division
Question 1
Display 206,703 × 201
Ask. What is the product?
Hints
- Multiply by 200 by doubling 206,703 and then multiply by 100.
- Then add 206, 703 to that product
- Strategies for multiplication and division
Answer
41,547,303
Question 2
Display 3 ÷ 6 =
Ask. What is 3 divided by 6?
Hints
- Visualize having three (cookies, pizzas, carrots) and six people to share it. WHat size piece would each person get.
- Division practice with fractions
Answer
1/2
Or 1/2 piece of the three ... pizzas.
Question 3
Display 2/3 × 3/4 =
Ask. What is 2/3 of 3/4?
Hints
- Visualize 3/4 of a pizza.
- Imagine how to divide it (3/4) among three people. SO that two would eat it now and one piece they would save for another person who is arriving later.
- should see there are three pieces that are 1/3 of the 3/4.
- The same pieces are 1/4 of the roiginal whole pizza (1)
- The trick with fractions is the whole or part you are using to solve the problem is very important to consider.
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
1/2
1/2 of the original pizza is 2/3 of the 3/4.
Question 4
Display 3/4 × 3/4 =
Say. What is 3/4 of 3/4? or 3/4 times 3/4?
Hints
- Visualize 3/4ths of one.
- Take 3/4ths of it.
- What is it of the original one?
- Or use a square and grid
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
9/16, nine sixteenths
Question 5
Display 6/6 × 1/2 =
Say. What is 6/6 of 1/2? or 6/6 times 1/2?
Hints
- Visualize 6/6ths and take 1/2 of it.
- Or Visualize 6/6ths as one.
- Take 1/2 of 1.
- One times anything is anything.
- One times 4 is 4. One times x is x. One times an orange is an orange.
- What is it of the original one?
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
3/6 or 1/2, one half
Question 6
Display 66,090,327 ÷ 3
Ask. What is sixty six million, ninety thousand, three hundred twenty-seven divided by three?
Hints
- Think of dividing each number by three.
- Zero divided by three is zero.
- If a number won't divide nicely, try combining it with the next.
- Strategies for multiplication and division
Answer
22,030,109
Question 7
Display 4.89 × 906
Ask. What is the product of four and eighty-nine hundredths and nine hundred six?
Hints
- Multiply as if they are two whole numbers.
- Then think 1 × one hundredth is one hundredth or two decimal places.
- Tenths times any whole number is tenths
- Hundredths times any whole number is hundredths
- Strategies for multiplication and division
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
4430.34
Question 9
Display 1/9 × 1/5 =
Say. What is 1/9 times 1/5? or 1/9 of 1/5?
Hints
- Visualize 1/5th of one.
- Visualize 1/9 of it. Pretty small piece of the original one!
- Maybe 1/45?
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
1/45, one forty-fifth
Question 10
Display 1/3 × 99 =
Say. What is 1/3 of 99? or 1/3 times 99?
Hints
- Visualize 99.
- Visualize 1/3 of it.
- How much?
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
33, thirty-three
Bonus what is 2/3 of 99?
Question 11
Display 1/2 × 64 =
Say. What is 1/2 of 64? or 1/2 times 64?
Hints
- Visualize 64.
- Visualize 1/2 of it.
- How much?
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
32, thirty-two
Bonus what is 3/4 of 64?
Question 12
Display 60.9 × 15
Ask. What is the product of sixty and nine tenths and fifteen?
Hints
- Multiply as if they are two whole numbers.
- Then think 1 × one tenth is one tenth or one decimal place.
- Tenths times any whole number is tenths
- Hundredths times any whole number is hundredths
- Strategies for multiplication and division
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
913.5
Question 13
Display 8.1 ×.79
Ask. What is the product of eight and one tenth and seventy-nine hundredths?
Hints
- Multiply as if they are two whole numbers.
- Then think 1 × one tenth is one tenth or one decimal place.
- Tenths times any whole number is tenths
- Hundredths times any whole number is hundredths
- Tenths time hundredths is thousandths
- Strategies for multiplication and division
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
6.399
Question 14
Display $5.25 for 5 weeks
Say You save five dollars and twenty-five cents for five weeks.
Ask. How much can you save in five weeks?
Hints
- Multiply as if they are two whole numbers.
- $5 × 5 is 25
- 5 quarters is $1.25
- Think 1 × one tenth is one tenth or one decimal place.
- Hundredths times any whole number is hundredths
- Think of dollars and cents as wholes and hundredths.
- Strategies for multiplication and division
- Review - Worksheet on -
- Saying, reading, & writing numbers plan & worksheets
Answer
$26.25
Question 15
Display You are one third of the way through reading a book. If you are on page 99, how many more pages do you have to read.
Say. You are one third of the way through reading a book. If you are on page 99,
Ask How many more pages do you have to read.
Hints
- 1/3 of the book is 99 pages.
- 2/3 of the books is 2 × 99 (or 99+99) (or (100 + 100) -2)
- 3/3 of the books is 3 × 99 (or 99+99+99)
- Have read 99 ∴ 297 - 99
- Sequence of multiplication of fractions
Answer
198
Question 16
Display 214 × 1 = 214
n × 1 = ?
Say. Two hundred fourteen times one is Two hundred fourteen.
Ask. What is n times 1?
Hints
- Visualize 214 as one.
- Take a group of 214 once.
- One times anything is anything.
- One times 4 is 4. One times x is x. One times an orange is an orange.
- Math properties of numbers and operations
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
n
Question 17
Display 7 × 7 × 264 × 0 = ?
Ask. What is seven times seven times two hundred sixty-four times zero?
Hints
- Zero
- Anything multiplied by is zero.
- Properties of numbers and operations
- Strategies for multiplication and division
Answer
0
Question 18
Display 2/3 × 99 =
Say. What is 1/3 of 99? or 1/3 times 99?
Hints
- Visualize 99.
- Visualize 1/3 of it.
- How much?
- Double it.
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
66, sixty-six
Question 19
Display 869 × 300
Ask. What is the product of eight hundred sixty-nine and three hundred?
Hints
- Multiply by 869 by 3 and then multiply by 100.
- Strategies for multiplication and division
Answer
260,700
Question 20
Display 2/3 × 1 1/3=
Say. What is 2/3 of one and one third?
Hints
- Use the distributive property. 2/3(1 + 1/3)
- Visualize 2/3 of 1 and 2/3 of 1/3.
- 2/3 + 2/9
- 6/9 + 2/9 = 8/9
- Or. Using the multiplication algorithm.
- 2/3 × 4/3 = 8/9
- Multiplication of fractions with Cuisenaire rods
- Sequence of multiplication of fractions
- Practice sequence of multiplicationof fractions
Answer
66, sixty-six
Measurement
Question 1
Ask. How many hours from 10:15 to 2:45?
Display. 10:15 and 2:45.
Hints
- Picture a clock and visualize the hours passing by and then minutes.
- Like. 10:15 + 1 hour = 11:15.
- Plus another hour is 12:15.
- Plus another hour is 1:15.
- Plus another hour is 2:15.
- Almost there need some more minutes or part of an hour.
- Now add up all the hours and part of one.
Answer
4 1/2 hours
Question 2
Ask. What is the difference between 14 degrees above zero and 22 degress below 0?
Display. 14 and 22
Hints
- Picture a thermometer and approximately visualize 14 below and 22 above.
- Think of how far from 14 below to 0.
- Think of how far from 0 to 22.
- Add the two together.
Answer
36 degrees
Question 3
Display Want to arrive at 11:45. Takes 45 minutes to get ready. Sixty minutes to get there. Ten minutes to park and walk. Latest to get up?
Say. Going to (shop, eat, visit) and need to be there to meet up or arrive on time at 11:45 A.M. If it takes 45 minutes to get ready, 60 to travel there, and 10 minutes to park and walk, then what time is the latest I can get up?
Hints
- Work backwards.
- Visualize a clock at 11:45.
- GO back 45 minutes, then 60, and finally 10.
- Arrive at time to get up.
Answer
9:50 A.M.
Algebra
Question 1
Display. N/25 = 80/100
Ask. What is the value N in the equation: N/25 = 80/100 ?
Hints
- Contemplate 80/100 as a percentage or fraction.
- How does 25 compare to 100?
- 25 is one fourth of 100.
- Four quarters make 100 pennies or $1.
- N is 1/4 of 80.
- 20 × 4 is 80
Answer
20
Question 2
Display. n - 9 = 8
Say. If n - 9 = 8, then what is the value of n
Hints
- Use a guess and check strategy.
- Try different numbers for n and see.
- Like if try n=10, then 10-9 = 1.
- Need to go bigger.
- Or. Think. If I add nine to each side, The -9 is gone and n would equal 17.
Answer
17
Question 3
Display. What is the average of 8 and 10?
Say. What is the average of 8 and 10?
Hints
- What is between 8 and 10?
- Visualize if move one from ten to eight, then have two nines.
- Add all the data and divide by the number of data items.
Answer
9
Question 4
Display. If x > 1; then x ÷ x = ?
Say. For x greater than one. What is x divided by x?
Hints
- One divided by one is one.
- Two divided by two is one.
- Seven divided by seven is one.
- An elephant divided by an elephant is one.
- Anything divided by anything is one.
Answer
1
Data analysis
Question 1
Display. What is the average of 8 and 10?
Say. What is the average of 8 and 10?
Hints
- What is between 8 and 10?
- Visualize if move one from ten to eight, then have two nines.
- Add all the data and divide by the number of data items.
Answer
9
Problem solving
Question 1
Display. You have 24 people and are going to transport then four to a car. How many cars do you need?
Ask. You have 24 people and are going to transport then four to a car. How many cars do you need?
Hints
- Skip count by fours.
- Guess and check.
Answer
6 cars
Question 2
Display. There are 120 kids coming to school and there are 5 teachers.
Say. Is it possible for each teacher to be responsible for the same number of students?
Ask. If so, how many will each have?
Hints
- Guess and check.
- 20 times 5 is 100. Not enough kids.
- 25 times 5 is 125. Too many kids.
- Five less is 24.
- Or 100 ÷5 + 20 ÷5
- 20 + 4
Answer
24
Question 3
Display Admission
$1.35 under 12.
$2.85 over 12
Say. How much will the admission be for 6 children and 2 adults?
Hints
- Use the distributive property.
- 6(1.00) + 6(.35)
- 2($2.00) + 2(.85)
- 6.00 + 2.10 + 4.00 + 1.70
- Math properties of numbers and operations
Answer
$13.80
Question 4
Display How many cuts does it take to saw a log into three pieces?
Ask. How many cuts does it take to saw a log into three pieces?
Hints
Draw a picture of a log. Mark where you would cut it to make three pieces. Howmany marks?
Answer
two cuts
Addition and subtraction four types questions
Question 1
Display and read aloud
Pete had 3 apples. Ann gave Pete 5 more apples, How many apples does Pete have now?
Hints
Addition and subtraction four problem types
Count three apples for Pete. Count Five apples for Ann. Put Ann's apples with Petes. How many?
Start with Pete's three apples and count up how many Ann gives him.
Count up five starting with three.
Answer
eight apples
Question 2
Display and read aloud
Sandi had 7 dimes. Mike gave her 4 more. How many dimes does Sandi have altogether?
Hints
Addition and subtraction four problem types
Count seven dimes. Count four dimes. Put them together. How many?
Sandi's 7 dimes + what Mike shares.
Count up four starting with seven dimes.
Answer
eleven dimes
Question 3
Display and read aloud
Kathy had 5 pencils. How many more pencils does she have to put with them so she has 7 pencils altogether?
Hints
Addition and subtraction four problem types
Sart with five pencils and count how many it takes to get to seven.
Count five pencils and seven pencils. Compare the difference.
Answer
two pencils
Question 4
Display and read aloud
Sandi has 7 dimes. Mike gave her some more. Now Sandi has 11 dimes. How many did Mike give her?
Hints
Addition and subtraction four problem types
Sart with seven dimes and count how many to get to eleven.
Start with eleven dimes and count back to seven dimes.
Answer
four dimes
Question 5
Display and read aloud.
Bob got 2 cookies. Now he has 5 cookies. How many cookies did Bob have in the beginning?
Hints
Addition and subtraction four problem types
Start with five cookies, notice the two Bob got and the rest are the ones he had at the start.
Start with two cookies and count up to five.
Start with five cookies and count back to two. The ones counted are the ones he had at the beginning.
Answer
Three cookies
Question 6
Display and read aloud
Sandi has some dimes. Mike gave her 4 more. Now Sandi has 11 dimes. How many dimes did Sandi have to begin with?
Hints
Addition and subtraction four problem types
Start with eleven dimes, count the ones Mike gave her (4) and the other ones are the ones she had to start.
Start with four dimes and count up to eleven.
Answer
Seven dimes
Question 7
Display and read aloud
Sandi has 11 dimes. She gave 4 dimes to Mike. How many dimes does Sandi have now?
Hints
Addition and subtraction four problem types
Count eleven dimes for Sandi. Move four dimes from them for Mike. How many dimes does Sandi have left?
Count back four from eleven.
Answer
Seven dimes
Question 8
Display and read
Joe had 8 marbles. Then he gave 5 marbles to Tom. How many marbles does Joe have now?
Hints
Addition and subtraction four problem types
Count eight marbles for Joe and move five for Tom. How many does Joe have now?
Start eith eight marbles. Count back five from eight to see how many Joe had to start.
Answer
Three marbles.
Question 9
Display and read aloud
Sandi had 11 dimes. She gave some to Mike. Now she has 7 dimes. How many did she give to Mike?
Hints
Addition and subtraction four problem types
Start with eleven dimes. Identify seven and separate them from the others. How many others?
Start with seven dimes and count up to eleven to see how many she gave to Mike.
Answer
Four dimes
Question 10
Display and read aloud
Fred had 11 pieces of candy. He lost some of the pieces. Now he has 4 pieces of candy. How many pieces of candy did Fred lose?
Hints
Addition and subtraction four problem types
Start with eleven counters (candy). Identify four. How many others?
What is the difference between eleven and four?
Answer
Seven pieces
Question 11
Display and read aloud
Sandi had some dimes. She gave 4 to Mike. Now Sandi has 7 dimes left. How many dimes did Sandi have to begin with?
Hints
Addition and subtraction four problem types
Identify four dimes given to Mike. Identify seven dimes Sandi has left. Combine them for what Sandi had to begin.
Four dimes and seven dimes make?
Answer
Eleven dimes
Question 12
Display and read aloud
Karen had some word problems. She solved 2 of them. She still has 3 word problems to solve. How many word problems did she have to start with?
Hints
Addition and subtraction four problem types
Make two marks for the two prbems Karen solved. Make three more marks for those she has yet to solve. How many marks?
What is two and three?
Answer
Five problems
Question 13
Display and read aloud
There are 6 boys and 8 girls on the volleyball team. How many children are on the team?
Hints
Addition and subtraction four problem types
Draw six tallies and eight more. How many tallies? Or Write six B's and 8 G's. How many letters?
Answer
fourteen players
Question 14
Display and read aloud
Bobbi has 3 dimes and Azzie has 5. If they put them together how many do they have?
Hints
Addition and subtraction four problem types
Represent three dimes and five dimes with circles. How many circles all together? How many dimes?
Answer
Eight dimes
Question 15
Display and read
Mike has 5 pennies and 10 dimes. How many coins does he have?
Answer
Fifteen coins
Question 16
Display and read aloud
Mike has 5 dimes and Sandi has 10 dimes. They put there dimes into a piggy bank. How many dimes did they put into the bank?
Hints
Addition and subtraction four problem types
Keep it simple. I had to read it twice to check and see.
Answer
Three dimes.
Question 17
Display and read aloud
Sara has 6 sugar donuts and 9 plain donuts. Then she puts them all on a plate. How many donuts are there on the plate?
Hints
Addition and subtraction four problem types
Draw a plate and draw six and nine circles (donuts). How many?
Answer
Fifteen donuts
Question 18
Display and read aloud
Carlos had 8 quarters in his pocket. He reaches in and pulls out four. How many are still in his pocket?
Hints
Addition and subtraction four problem types
Draw eight circles (quarters). Cross out four. How many ...
Eight quarters take away four is ...
Answer
Four quarters
Question 19
Display and read aloud
Brian has 14 flowers. Eight of them are red and the rest are yellow. How many yellow flowers does Brian have?
Hints
Addition and subtraction four problem types
Draw fourteen circles. Color eight red. How many are there to color yellow?
Start at eight and count up to fourteen.
What adds with eight to make fourteen?
Start with fourteen image eight red and how many left for yelloe?
Answer
Six flowers
Question 20
Display and read
Bobbi and Sandi put 12 dimes into a change purse. Sandi put in 8. How many did Bobbi put in? or Mike and Sandi put 11 dimes into a piggy bank. Mike put in 7 dimes. How many dimes did Sandi put in?
Hints
Addition and subtraction four problem types
Draw a big circle for the purse. Draw twelve circles for dimes and put an S on eight. How many others?
If 11 is one less than 12 and 7 is one less than 8, then the 12 - 8 = 11 - 7. They are the same.
Answer
Four dimes
Question 21
Display and read aloud
Mike has 10 coins. 7 of his coins are dimes, and the rest are pennies. How many are pennies?
Hints
Addition and subtraction four problem types
Draw a big circle with ten little circles in it. Label seven dimes. How many left for pennies?
Ten coins needs 7 + 3 to equal ten.
Answer
Three pennies
Question 22
Display and read aloud
Joe and Tom have 8 marbles when they put all their marbles together. Joe has 3 marbles. How many marbles does Tom have?
Hints
Addition and subtraction four problem types
Draw eight circles mark three for Joe. How many are left to mark for Tom?
three plus what is eight?
three from eight leaves ...
Answer
Five marbles
Question 23
Display and read aloud
Joe has 3 balloons. His sister Connie has 5 balloons. How many more balloons does Connie have than Joe?
Hints
Addition and subtraction four problem types
Draw three ballons for Joe. Draw five balloons for Connie. Compare or match them one to one. How many are left?
Five is ___ more than five.
Answer
Two balloons
Question 24
Display and read aloud
Janice has 8 sticks of gum. Tom has 2 sticks of gum. Tom has how many sticks less than Janice?
Hints
Addition and subtraction four problem types
Draw one | for each stick of gum. Compare them. How many less?
Answer
Six sticks less
Question 25
Display and read aloud
Kai has 11 dimes and Sandi has 5. How many more dimes does Kai have than Sandi?
Hints
Addition and subtraction four problem types
Draw eleven circles in a line for Kai. Draw five in a line below. What is the difference?
five plus what is eleven?
five from eleven leaves ...
Answer
Six dimes
Question 26
Display and read aloud
Mike has 11 dimes. Emma has 5 dimes. How many fewer dimes does Emma have than Mike?
Hints
Addition and subtraction four problem types
Draw eleven circles in a line for Mike's dimes. Draw five in a line below. What is the difference?
five plus what is eleven?
five from eleven leaves ...
Answer
six dimes
Question 27
Display and read aloud
Luis has 6 goldfish. Carla has 2 more goldfish than Luis. How many goldfish does Carla have?
Hints
Addition and subtraction four problem types
Luis goldfish + 2 goldfish = Carla's goldfish
Count up 2 from six
Answer
8 goldfish
Question 28
Display and read aloud
Dad bought 18 bottles of milk on Sunday and on Monday he bought 6 bottles less. How many bottles did he buy on Monday?
Hints
Addition and subtraction four problem types
Sunday's bottles - 6 bottles = Monday's bottles
Count back 6 from 18.
Monday's bottles + 6 = Sunday's bottles
Answer
twelve bottles
Question 29
Display and read aloud
Mike has 4 more dimes than Olivia. Olivia has 7 dimes. How many dimes does Mike have?
Hints
Addition and subtraction four problem types
Olivia value + 4 = Mike value
Mike value - 4 = Olivia
count up from 7 four
Answer
eleven dimes
Question 30
Display and read aloud
Sandi has 4 fewer dimes than Mike. Sandi has 7 dimes. How many dimes does Mike have?
Hints
Addition and subtraction four problem types
Sandi value + 4 = Mike value
Mike value - 4 = Sandi value
Start with 7 and count up 4
Answer
eleven dimes
Question 31
Display and read
Jane has 7 dolls. Ann has 3 dolls. How many dolls does Jane have to lose to have as many as Ann?
Hints
Addition and subtraction four problem types
Jane value - Ann value = Lose value
Ann value + Lose value = Jane value
Start with Ann having 3 and countup to 7
Answer
four dolls
Question 32
Display and read aloud
Connie has 13 marbles. If Jim wins 5 marbles, he will have the same number of marbles as Connie. How many marbles does Jim have?
Answer
8 marbles
Question 33
Display and read aloud
Maxine has 9 sweaters. She has 5 sweaters more than Sue. How many sweaters does Sue have?
Hints
Maxine value - 5 = Sue value
Sue value + 5 = Maxine value
Addition and subtraction four problem types
Sue value + 5 = Maxine value
Maxine value - 5 = Sue value
9 - 5 = Sue value
Answer
four sweaters
Question 34
Display and read aloud
Jim has 5 marbles. He has 8 fewer marbles than Connie. How many marbles does Connie have?
Hints
Addition and subtraction four problem types
Jim value + 8 = Connie value
Connie value - 8 = Jim value
5 + 8 = Connie value
Answer
thirteen marbles
Question 35
Display and read aloud
Sandi has 4 fewer dimes than Mike. Mike has 11 dimes. How many dimes does Sandi have?
Hints
Addition and subtraction four problem types
Sandi value + 4 = Mike value
Mike value - 4 = Sandi value
11 - 4 = Sandi value
Count back.
Answer
seven dimes
Question 36
Display and read aloud
Julian has 4 more dimes than Sandi. Julian has 11 dimes. How many dimes does Sandi have?
Hints
Addition and subtraction four problem types
Sandi value + 4 = Julian value
Julian value - 4 = Sandi value
11 - 4 = Sandi value
Answer
seven dimes
Question 37
Display and read aloud
Susan has 8 marbles. Fred has 5 marbles. How many more marbles does Fred have to get to have as many marbles as Susan has?
Hints
Addition and subtraction four problem types
Count up from five to eight.
six, seven, eight
8 - 5 =
Susan value - ? = Fred value
Fred value + ? = Susan
Answer
three marbles
Decimal card place value seqencing game
Make a deck of decimal cards:
Cards include:
Total 48 or 52 if add 4 demon cards
3(2); 4(2); 4.1; 4.2; 4.3(2); 4.4(2); 4.5(4); 4.51; 4.52; 4.53; 4.531; 4.532; 4.533; 4.534; 4.535; 4.536; 4.538; 4.539; 4.54; 4.55; 4.56; 4.57; 4.58; 4.59; 4.6(4); 4.7(2); 4.8(2); 4.9(2); 5(2); 6; Wild Card(4)
Could ADD some demon cards (cards that don't fit a sequence pattern for a run. like 8; 3.1; 4.01; 4.541; ...
To play. Shuffle the cards, deal 8 to each player, select a person to start. Draw a card from the discard pile, play, discard, next person plays.
Object is to sequence cards into sets of place values: of whole number,s tenths, hundredths, or thousandths.