Read the first worked example with the solution open so the structure is clear.
Try the practice problems before revealing each solution.
Use the related concepts and background knowledge badges if you feel stuck.
What to Focus On
Core idea:Quantity is the raw 'how much' of a thing, before you pin it to an exact count.
Common stuck point:The procedure for quantity is the easy part; the trap is giving a number with no unit for an amount of stuff. Asking "Am I naming 'how much' of something there is, an amount paired with what it is of?" first is what keeps a correct-looking calculation from being attached to the wrong concept.
Sense of Study hint:Ask: Am I naming 'how much' of something there is, an amount paired with what it is of?
Worked Examples
Example 1
easy
A recipe calls for 2 cups of flour. If you want to make 3 batches, how much flour do you need? Identify the quantity and the unit.
Answer
6Β cups
First step
1
The quantity per batch is 2 cups. Making 3 batches multiplies the quantity: 2Γ3=6.
Full solution
2
The unit is 'cups'. The quantity is 6.
3
You need 6 cups of flour.
A quantity has both a number and a unit. When you scale a recipe, you multiply the numerical part while keeping the unit the same. Distinguishing the number from the unit is essential in measurement contexts.
Example 2
medium
Explain why 'the number of people in a room' is a discrete quantity but 'the temperature of a room' is a continuous quantity.
Example 3
easy
You have 1 teddy bear. How many teddy bears?
Example 4
easy
You see 5 ducks in the pond. How many ducks?
Example 5
medium
You get 4 crackers on your plate. How many crackers?
Example 6
easy
Quickly look at this jar of marbles: π’π’π’π’π’π’. Without counting, guess the quantity, then count to check.
Example 7
easy
You glance at a small handful of jellybeans and guess 9. You count and find 8. Was your estimate close?
Example 8
medium
A tens frame is full: ten boxes, each with a dot. How many dots?
Example 9
easy
A page of stickers has 20 sticker shapes. How many stickers are on the page?
Example 10
easy
Use skip-counting by 2s to count this group: ππ ππ ππ ππ. How many apples?
Example 11
hard
A bag holds two full tens frames of beads. How many beads? Then a friend says 'about 15.' Is the friend's estimate within 5?
Example 12
easy
You see 7 stacks of pennies with 10 pennies each. What is the quantity of pennies?
Example 13
easy
A bowl has 3 full bags of 10 grapes and 5 loose grapes. What is the total quantity of grapes?
Example 14
hard
Two students estimate a jar of marbles. Maya groups by 10s and says 70. Owen guesses 100. The true quantity is 76. Whose estimate is closer, and by how much?
Practice Problems
Try these problems on your own first, then open the solution to compare your method.
Example 1
easy
A car travels at 60 miles per hour for 2.5 hours. What quantity does 60Γ2.5 represent?
Example 2
medium
Can you say which is 'more': 5 kilometers or 5 miles? What does this tell you about quantities?
Example 3
easy
In '5 apples', what is the quantity?
Example 4
easy
In '3 meters', name the quantity and the unit.
Example 5
easy
Which describes a quantity: 'some water' or 'the color blue'?
Example 6
easy
Count the quantity of letters in the word 'math'.
Example 7
easy
Is 'a lot of sand' a quantity even without counting grains?
Example 8
easy
In '2 liters of milk', what is the unit?
Example 9
easy
If you have 4 pencils and get 3 more, what quantity of pencils now?
Example 10
easy
Is temperature a counted or a measured quantity?
Example 11
medium
A box has 12 eggs; you remove 5. Express the remaining quantity.
Example 12
medium
You buy 3 bags, each with 6 marbles. What total quantity of marbles?
Example 13
medium
Compare the quantities '2 dozen' and '20'. Which is more?
Example 14
medium
A recipe lists '43β cup sugar'. What is the quantity and what is the unit?
Example 15
medium
A tank holds 50 liters and is 52β full. What quantity of water is in it?
Example 16
medium
You count 8 red and 5 blue beads. What quantity is the difference?
Example 17
medium
If 1 box weighs 2 kg, what is the quantity of mass for 7 boxes?
Example 18
medium
Split a quantity of 24 cookies equally among 6 children. How many each?
Example 19
challenge
A bottle holds 1.5 liters. You pour out 350 mL. What quantity remains, in mL?
Example 20
challenge
A bag of 60 candies is split so one child gets twice as many as the other. What quantity does each get?
Example 21
challenge
A quantity grows from 40 to 50. Express the increase as a fraction of the original.
Example 22
medium
A shelf holds 4 rows of 9 books. What total quantity of books?
Example 23
easy
You see 3 apples on the table. How many apples?
Example 24
easy
π±π± How many cats?
Example 25
easy
ππππ How many strawberries?
Example 26
medium
You have 2 red blocks. How many blocks?
Example 27
hard
You have 3 grapes and 2 grapes on a plate. How many grapes do you see in all?
Example 28
easy
You see 7 buttons in a row. How many buttons?
Example 29
easy
π π π π π π π π How many fish?
Example 30
easy
A bag has 10 cherries. How many cherries are in the bag?
Example 31
medium
π¦π¦π¦π¦π¦π¦π¦π¦π¦ How many butterflies?
Example 32
hard
You guess there are 10 crayons in a box. You count and find 7. Is your guess an over-estimate or under-estimate?
Example 33
easy
Count the quantity of stickers: 13 stickers in one pile and 4 in another. How many stickers total?
Example 34
easy
A jar holds about 18 marbles. You guess 15. Is your estimate within 5 of the true quantity?
Example 35
easy
You guess a bowl has 12 grapes. The true quantity is 16. Is your estimate within 5 of the true quantity?
Example 36
medium
Use skip-counting by 5s to find the quantity: four hands of 5 fingers each. How many fingers?
Example 37
medium
A tens frame is full (10) and a partial frame shows 6 more dots. What quantity is shown?
Example 38
easy
A box has 4 rows of 10 cookies. What is the quantity of cookies in the box?
Example 39
easy
A jar holds about 60 jellybeans. You estimate 50 by counting one ten and saying 'about five more tens.' Is 50 a reasonable estimate?
Example 40
easy
A page has 8 rows of 10 stamps. What is the quantity of stamps on the page?
Example 41
medium
Estimate the quantity in a jar by grouping. You see 4 clear groups of 10 and a few extras you guess as 6. What is your estimate?
Example 42
medium
You estimate a basket has 90 oranges. The exact quantity is 83. How far off is your estimate, and is it within 10?