🔗 Problem

Problem: Jeff has a collection of 10 sunglasses. If he bought 4 of them last summer, how many sunglasses did he have before that?

Gemma 2B:

      If Jeff has 10 sunglasses and he bought 4 of them last summer, then he had 10 - 4 = <<10-4=6>>6 sunglasses before that.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Mary has 10 jackets in her wardrobe. If 4 of them are black, how many jackets are of different colors?

Gemma 2B:

      Mary has 10 jackets in her wardrobe and 4 of them are black. To find out how many jackets are of different colors, we need to subtract the number of black jackets from the total number of jackets.

    10 - 4 = 6

    So, Mary has 6 jackets of different colors in her wardrobe.

    ### Answer: 6

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Sara has a TV show marathon to watch. She finishes watching 3 episodes and has 10 episodes in total to watch. How many episodes does she still have to watch?

Gemma 2B:

      Sara has 10 - 3 = <<10-3=7>>7 episodes left to watch.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Tom has a total of 10 cucumbers. He initially had 1 cucumber. How many more cucumbers did he add to his collection?

Gemma 2B:

      Let's use a number line to represent the cucumbers.

    Initially, Tom had 1 cucumber, which we can represent as:

    1

    He added more cucumbers to his collection, so we can represent that as:

    1 + x

    Where x is the number of cucumbers he added.

    We know that the total number of cucumbers Tom has is 10, so we can set up the equation:

    1 + x = 10

    To solve for x, we can subtract 1 from both sides:

    x = 10 - 1

    x = 9

    So, Tom added 9 more cucumbers to his collection.

    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Molly has 10 teddy bears in total. If she has 9 brown teddy bears, how many teddy bears of other colors does she have?

Gemma 2B:

      Molly has 10 - 9 = <<10-9=1>>1 teddy bear of other colors.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Simon has a total of 10 balls. Out of these 10 balls, 4 are blue. How many balls are not blue?

Gemma 2B:

      To find the number of balls that are not blue, we need to subtract the number of blue balls from the total number of balls.

    Number of blue balls = 4
    Number of non-blue balls = 10 - 4 = 6

    Therefore, there are 6 balls that are not blue.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Julia has 10 dollars in her wallet. If she originally had 1 dollar before her mother gave her some more money, how much money did her mother give her?

Gemma 2B:

      Let's call the amount of money Julia's mother gave her "x".

    We know that Julia originally had 1 dollar, so she had a total of 1 + x dollars after her mother gave her more money.

    We also know that Julia has 10 dollars in her wallet now, so she has a total of 10 - x dollars.

    Since Julia has a total of 10 - x dollars, we can set up the equation:

    10 - x = 1 + x

    Simplifying the equation:

    10 = 2x

    Dividing both sides by 2:

    5 = x

    So, Julia's mother gave her 5 dollars.

Expected answer: 9

Correct? No

🔗 Problem

Problem: A truck can carry a total weight of 10 tons. The truck is already carrying 5 tons of construction materials. How much weight (in tons) can the truck carry additionally?

Gemma 2B:

      To find out how much weight the truck can carry additionally, we need to subtract the weight of the materials it is already carrying from the total weight it can carry.

    10 tons - 5 tons = 5 tons

    So, the truck can carry 5 tons of additional weight.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: There are 10 ice skates in total at the skating rental desk. We know that 9 of them are already rented out. How many skates are still available?

Gemma 2B:

      There are 10 ice skates in total at the skating rental desk.
    9 of them are already rented out.
    So, the number of skates that are still available is:
    10 - 9 = <<10-9=1>>1.
    There is 1 ice skate still available.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: During a table hockey game, Billy scored a total of 10 goals. If he scored 6 goals in the first half of the game, how many did he score in the second half?

Gemma 2B:

      To find out how many goals Billy scored in the second half of the game, we need to subtract the number of goals he scored in the first half from the total number of goals he scored.

    Let's use a equation to represent this:

    Total goals - First half goals = Second half goals

    We know that the total number of goals Billy scored is 10, and he scored 6 goals in the first half. So, we can plug these values into the equation:

    10 - 6 = Second half goals

    To solve for the second half goals, we need to subtract 6 from 10:

    10 - 6 = 4

    Therefore, Billy scored 4 goals in the second half of the game.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: There are 10 craters on the moon. After astronomers spotted 3 new craters, how many craters were there before?

Gemma 2B:

      Before the discovery of the 3 new craters, there were 10 craters on the moon.

    So, the total number of craters on the moon before the discovery of the 3 new craters was:

    10 + 3 = 13

    Therefore, there were 13 craters on the moon before the discovery of the 3 new craters.

Expected answer: 7

Correct? No

🔗 Problem

Problem: In a scout camp, there are 10 kids sleeping in a large tent. If 4 are boys, how many are girls?

Gemma 2B:

      If there are 4 boys and 10 kids in total, then there are 10 - 4 = 6 girls.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: The temperature at noon on a particular day was 10 degrees Celsius. If the temperature was 9 degrees Celsius at sunrise, by how many degrees did it increase by noon?

Gemma 2B:

      The temperature increased by 1 degree Celsius (9°C to 10°C).

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Sarah bought a total of 10 ice creams, and she bought 9 of them on her first shopping trip. How many ice creams did Sarah buy on her second shopping trip?

Gemma 2B:

      Let's start by using the information that Sarah bought 9 ice creams on her first shopping trip. We can write this as an equation:

    9 + x = 10

    where x is the number of ice creams Sarah bought on her second shopping trip.

    To find the value of x, we can subtract 9 from both sides of the equation:

    x = 10 - 9

    x = 1

    So, Sarah bought 1 ice cream on her second shopping trip.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A telescope has 10 main parts. If 2 of those parts are the lens and the eyepiece, how many other parts make up the telescope?

Gemma 2B:

      If a telescope has 10 main parts and 2 of those parts are the lens and the eyepiece, then there are 10 - 2 = <<10-2=8>>8 other parts that make up the telescope.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: The length of the Sun river is 10 miles. If 3 miles of it is inaccessible due to marshy areas, how long is the accessible part?

Gemma 2B:

      The accessible part of the Sun river is 10 - 3 = <<10-3=7>>7 miles long.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Lisa had a total of 10 pet cats. She adopted 7 cats at first. How many cats did she adopt later?

Gemma 2B:

      Let's start by using the information that Lisa had a total of 10 pet cats.

    If she adopted 7 cats at first, then she adopted 3 cats later.

    So, the answer is 3.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Sally decided to build a snowman. She collected 10 white stones to use as his eyes, buttons and nose. She used 5 stones for his eyes and buttons. How many stones did she use for his nose?

Gemma 2B:

      Sally used 5 stones for his eyes and buttons, which means she used 5 stones in total for those features.

    She also used 10 - 5 = <<10-5=5>>5 stones for his nose.

    Therefore, Sally used 5 stones for his nose.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John's boat can hold 10 people. Currently, there are 6 adults on the boat. How many children can he still put on the boat?

Gemma 2B:

      John's boat can hold 10 people, and there are currently 6 adults on the boat. To find out how many children he can still put on the boat, we need to subtract the number of adults from the total capacity of the boat.

    10 - 6 = 4

    So, John can still put 4 children on the boat.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: The number 10 results from the sum of number 8 and another number. What is this other number?

Gemma 2B:

      The number 10 results from the sum of number 8 and another number.

    Let's assume the other number is x.

    Then, we can write the equation:

    10 = 8 + x

    To solve for x, we can subtract 8 from both sides of the equation:

    2 = x

    Therefore, the other number is 2.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a pizza party, Maria prepared a total of 10 pizzas. Out of these, 6 were pepperoni pizzas. How many were mushroom pizzas?

Gemma 2B:

      Let's use a Venn diagram to solve this problem.

    Let A represent the set of all pizzas, and let B represent the set of pepperoni pizzas.

    We know that 6 pizzas are pepperoni pizzas, so the size of set B is 6.

    We also know that the total number of pizzas is 10, so the size of set A is 10.

    Using the formula for the size of the union of two sets, we can calculate the size of the set of all pizzas that are not pepperoni:

    |A \ B| = |A| - |B|
    |A \ B| = 10 - 6
    |A \ B| = 4

    So, there are 4 mushroom pizzas.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: A computer costs 10 dollars. If you already paid 3 dollars, how much money do you still need to pay?

Gemma 2B:

      To find out how much money you still need to pay for the computer, you need to subtract the amount you have already paid from the total cost of the computer.

    Total cost of computer = 10 dollars
    Amount already paid = 3 dollars

    Subtracting the amount already paid from the total cost gives you the amount still needed to be paid:

    10 - 3 = 7 dollars

    Therefore, you still need to pay 7 dollars for the computer.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: King Arthur's castle has ten towers. If there are two towers to the east of the castle, how many towers are to the west?

Gemma 2B:

      There are eight towers to the west of the castle.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Peter had 10 shirts in his closet. After buying a new shirt, he found out he only had one shirt before the purchase. How many shirts did he buy?

Gemma 2B:

      Let's call the number of shirts Peter bought "x".

    We know that Peter had 10 shirts in his closet before buying a new shirt. So, the number of shirts he had before buying a new shirt is 10.

    We also know that after buying a new shirt, Peter found out he only had one shirt before the purchase. So, the number of shirts he had before buying a new shirt is 1.

    We can set up an equation to represent this information:

    10 - x = 1

    Where x is the number of shirts Peter bought.

    Solving for x, we get:

    x = 9

    So, Peter bought 9 shirts.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: Tommy watched a total of 10 episodes of his favorite TV show in one day. He watched 4 episodes in the morning. How many episodes did he watch in the evening?

Gemma 2B:

      Tommy watched 10 - 4 = <<10-4=6>>6 episodes in the evening.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: There are 10 letters in an envelope. If one is removed, how many are left in the envelope?

Gemma 2B:

      There are 10 letters in an envelope.
    If one is removed, there are 10 - 1 = <<10-1=9>>9 letters left in the envelope.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: On a beach, there are a total of 10 starfish. 6 of them are red. How many of them are blue?

Gemma 2B:

      There are 10 starfish in total, and 6 of them are red. This means that 4 starfish are blue.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Grace enjoys strawberry picking and one day, she managed to get 10 strawberries. If she had already picked 2 strawberries prior to a particularly good area, how many strawberries did she pick from the good area?

Gemma 2B:

      Let's use a Venn diagram to represent the situation.

    Let A represent the 2 strawberries that Grace picked prior to the good area, and let B represent the strawberries that Grace picked from the good area.

    We know that the total number of strawberries that Grace picked is 10, so the union of A and B (A ∪ B) is equal to 10.

    We also know that Grace picked 2 strawberries prior to the good area, so the size of set A (|A|) is equal to 2.

    Using the formula for the union of two sets, we can write:

    |A ∪ B| = |A| + |B|

    Substituting the values we know, we get:

    |A ∪ B| = |A| + |B|
    10 = 2 + |B|
    |B| = 8

    Therefore, Grace picked 8 strawberries from the good area.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Sam has 10 toy cars in total. If 7 of them are sports cars, how many of them are race cars?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let A represent the set of all toy cars, and let B represent the set of sports cars.

    We know that 7 of the toy cars are sports cars, so the intersection of A and B has a size of 7.

    We also know that 3 of the toy cars are race cars, so the intersection of A and C (where C represents the set of race cars) has a size of 3.

    Using the Inclusion-Exclusion Principle, we can find the size of the union of A and B by subtracting the size of the intersection of A and B from the size of A, and then adding the size of the intersection of A and C:

    |A ∪ B| = |A| - |A ∩ B| + |A ∩ C|
    |A ∪ B| = 10 - 7 + 3
    |A ∪ B| = 6

    So, there are 6 toy cars that are either sports cars or race cars.

Expected answer: 3

Correct? No

🔗 Problem

Problem: Liam baked 10 cookies in total. He baked 5 cookies in the first batch. How many cookies did Liam bake in the second batch?

Gemma 2B:

      Liam baked 10 cookies in total.
    He baked 5 cookies in the first batch.
    To find out how many cookies Liam baked in the second batch, we need to subtract the number of cookies he baked in the first batch from the total number of cookies he baked.
    10 - 5 = 5
    Therefore, Liam baked 5 cookies in the second batch.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John has a collection of cars. If he has 10 cars in total, and 4 of them are sports cars, how many of his cars are not sports cars?

Gemma 2B:

      If John has 10 cars in total and 4 of them are sports cars, then he has 10 - 4 = <<10-4=6>>6 cars that are not sports cars.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: John has a total of 10 chairs. If 9 of these chairs are wooden, how many chairs are made of plastic?

Gemma 2B:

      If 9 of the 10 chairs are wooden, then the remaining chair must be made of plastic. Therefore, there is 1 plastic chair.

    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: In a magical kingdom, there are ten fairies in total. Four of them are water fairies. How many of them are fire fairies?

Gemma 2B:

      There are six fire fairies in the magical kingdom.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Tom started a painting project. He used 5 cans of green paint and then used some cans of blue paint. If he used a total of 10 cans of paint, how many cans of blue paint did he use?

Gemma 2B:

      Let's start by using the information we know. Tom used 5 cans of green paint, so we can write:

    5 + x = 10

    where x is the number of cans of blue paint he used.

    We can simplify the equation by subtracting 5 from both sides:

    x = 10 - 5

    x = 5

    So, Tom used 5 cans of blue paint.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A building has 10 windows in total. If 3 of them are on the ground floor, how many windows are there on the rest of the floors?

Gemma 2B:

      There are 10 - 3 = 7 windows on the rest of the floors.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: In the park, Mary saw 10 birds in total. She saw 3 sparrows. How many birds did she see other than sparrows?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let S be the set of all sparrows that Mary saw in the park.
    Let B be the set of all birds that Mary saw in the park.

    We know that |S| = 3, since Mary saw 3 sparrows.
    We also know that |B| = 10, since Mary saw 10 birds in total.

    Using the information-schema theorem, we can write:

    |B| = |S| + |B ∩ S|

    Substituting the values we know, we get:

    10 = 3 + |B ∩ S|

    Solving for |B ∩ S|, we get:

    |B ∩ S| = 10 - 3 = 7

    So, Mary saw 7 birds other than sparrows in the park.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: In Sarah's book collection, she has a total of 10 books. If 5 of these books are novels, how many of them are non-novels?

Gemma 2B:

      If 5 of Sarah's 10 books are novels, then the remaining 10 - 5 = 5 books are non-novels.

    Therefore, the answer is 5 non-novels.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John has a total of 10 chairs at home. If 7 of those are dining chairs, how many of the chairs are lounge chairs?

Gemma 2B:

      Let's use a Venn diagram to represent the information.

    Let A represent the set of all chairs at home, and let B represent the set of dining chairs.

    We know that 7 chairs are dining chairs, so the size of set B is 7.

    We also know that the total number of chairs is 10, so the size of set A is 10.

    Using the Venn diagram, we can represent the information as follows:

    A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
    B = {1, 2, 3, 4, 5, 6, 7}

    The size of the intersection of A and B is 7, which represents the number of chairs that are both dining chairs and lounge chairs.

    To find the number of lounge chairs, we need to subtract the size of the intersection from the size of set A.

    10 - 7 = 3

    Therefore, there are 3 lounge chairs at home.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: John has a pack of playing cards which should contain 10 cards. If he has only found one card, how many more cards does he need to find to complete his deck?

Gemma 2B:

      To complete his deck, John needs to find 9 more cards.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: In a small forest, there are 10 trees in total. If 5 of them are pine trees, how many trees are not pines?

Gemma 2B:

      There are 10 trees in total and 5 of them are pine trees.

    To find the number of trees that are not pines, we can subtract the number of pine trees from the total number of trees:

    10 - 5 = 5

    So, there are 5 trees that are not pines.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: John started with a tube containing 10 ounces of toothpaste. If he has squeezed out 7 ounces already, how many ounces of toothpaste does John have left?

Gemma 2B:

      John has 10 - 7 = 3 ounces of toothpaste left.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Samantha has a total of 10 erasers in her pencil box. She counted and found out that 5 of them are pink. How many erasers are not pink?

Gemma 2B:

      If 5 of the erasers are pink, then the remaining 10 - 5 = 5 erasers are not pink.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: A unicorn was carrying 10 magical items. If 5 of them were crystals, how many of them were rainbow dusts?

Gemma 2B:

      Let's use "C" to represent crystals and "R" to represent rainbow dusts.

    We know that the unicorn was carrying 10 magical items, and 5 of them were crystals. So, the number of crystals is 5.

    We also know that the number of rainbow dusts is equal to the number of magical items minus the number of crystals. So, the number of rainbow dusts is 10 - 5 = 5.

    Therefore, there were 5 rainbow dusts and 5 crystals in total.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Daisy arranged 10 shapes in a line. She first lined up 5 circles. How many squares did she use for the rest of the line?

Gemma 2B:

      Reasoning: Daisy used 10 - 5 = <<10-5=5>>5 squares for the rest of the line.
    ### Answer: 5

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Amy has 10 tomatoes in total. If 2 of them are green tomatoes, how many are red tomatoes?

Gemma 2B:

      Reasoning: If 2 tomatoes are green, then the remaining 10-2 = <<10-2=8>>8 tomatoes are red.
    ### Answer: 8

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A rocket ship needs 10 kilograms of fuel to launch. If 7 kilograms are already filled, how many kilograms of fuel are needed to fulfill the requirement?

Gemma 2B:

      To find out how many kilograms of fuel are needed to fulfill the requirement, we need to subtract the amount of fuel that is already filled from the total amount of fuel needed to launch the rocket.

    10 kg - 7 kg = 3 kg

    Therefore, 3 kilograms of fuel are needed to fulfill the requirement.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A dolphin can jump a total of 10 feet in one leap. If 9 feet of this distance is due to its tail thrust, what height does the dolphin cover with its body strength alone?

Gemma 2B:

      Let's call the height covered by the dolphin with its body strength alone "x".

    We know that the dolphin's tail thrust covers 9 feet of the total 10 feet, so the dolphin's body strength covers the remaining 10 - 9 = 1 foot.

    So, x = 1 foot.

    ### Answer: 1 foot.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: John has a piece of rope that is 10 feet long. He has to keep a length of 1 foot uncut. How long is the rest of the rope that he can cut?

Gemma 2B:

      John has a piece of rope that is 10 feet long and he has to keep a length of 1 foot uncut. This means that he can cut a length of 9 feet.

    Therefore, the rest of the rope that John can cut is 9 feet.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: A mama bear is collecting 10 berries in total for her cub. She already has 6 berries. How many more berries does she need to reach her goal?

Gemma 2B:

      To find out how many more berries the mama bear needs to reach her goal, we need to subtract the number of berries she already has from the total number of berries she needs.

    Let's use a equation to represent this:

    10 - 6 = 4

    So, the mama bear needs 4 more berries to reach her goal of 10 berries.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: On a farm, there are 10 animals in total. Among them, 9 animals are chickens. How many animals are cows?

Gemma 2B:

      Let's use algebra to solve this problem. Let C represent the number of chickens and let C represent the number of cows.

    We know that the total number of animals is 10, so we can write an equation based on that:

    C + C = 10

    We also know that 9 animals are chickens, so we can write an equation based on that:

    C = 9

    Now we can substitute the value of C into the first equation:

    9 + C = 10

    9 + 9 = 10

    18 = 10

    This equation is not true, so we have reached a contradiction. This means that our initial assumption that there are 9 chickens and 1 cow is incorrect.

    Therefore, the answer is:

    There are 0 cows.

    ### Answer: 0

Expected answer: 1

Correct? No

🔗 Problem

Problem: Tom was organizing his pencil case. In total, there are 10 pencils. If 8 of them are mechanical pencils, how many regular pencils does he have?

Gemma 2B:

      Let's use a Venn diagram to represent the situation:

    |  | Mechanical Pencils | Regular Pencils |
    | --- | --- | --- |
    | Total | 8 | 2 |

    From the diagram, we can see that there are 2 regular pencils.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Tim has a total of 10 crayons. Eight of them are blue. How many of them are red?

Gemma 2B:

      Let's use a Venn diagram to represent the information.

    Let B represent the set of blue crayons and R represent the set of red crayons.

    We know that 8 crayons are blue, so the size of the set B is 8.

    We also know that the total number of crayons is 10, so the size of the set R (red crayons) is 10 - 8 = 2.

    So, there are 2 red crayons.

    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Billy has 10 pens in total. If 7 of them are black, how many of them are blue?

Gemma 2B:

      Let's use a Venn diagram to represent the situation.

    Let B represent the set of black pens and B represent the set of blue pens.

    We know that 7 pens are black, so the size of the set B is 7.

    We also know that the total number of pens is 10, so the size of the set P (which represents the set of all pens) is 10.

    Using the formula for the size of a union of sets, we can write:

    |P| = |B| + |B'|

    where |B'| represents the size of the set of pens that are not black.

    We know that |B| = 7, so we can substitute this value into the equation above:

    |P| = |B| + |B'|
    |P| = 7 + |B'|

    We also know that |P| = 10, so we can substitute this value into the equation above:

    10 = 7 + |B'|

    Subtracting 7 from both sides of the equation, we get:

    3 = |B'|

    So, there are 3 blue pens.

    ### Answer: 3

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: A painter has a set of 10 different color shades for a painting. At first, he uses 9 colors for the basic shading. How many color shades does he use for the final touch-up?

Gemma 2B:

      The painter uses 9 colors for the basic shading, and then he uses 1 additional color for the final touch-up. Therefore, the total number of color shades used by the painter is 9 + 1 = 10.

Expected answer: 1

Correct? No

🔗 Problem

Problem: If Katie had a total of 10 tubes of toothpaste and she already used up 6 of them, how many unused tubes of toothpaste does she left with?

Gemma 2B:

      If Katie had a total of 10 tubes of toothpaste and she already used up 6 of them, then she has 10 - 6 = <<10-6=4>>4 unused tubes of toothpaste left.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: Melanie has a total of 10 blankets. If 6 of them are woolen blankets, how many of them are cotton blankets?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let W be the set of all woolen blankets and C be the set of all cotton blankets.

    We know that 6 blankets are woolen, so W = 6.

    We also know that the total number of blankets is 10, so |C| = 10.

    Using the Inclusion-Exclusion Principle, we can find the number of cotton blankets by subtracting the number of woolen blankets from the total number of blankets:

    |C| = 10 - 6 = 4

    Therefore, there are 4 cotton blankets.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a pond, there are 10 frogs in total. Among them, 4 are green frogs. How many frogs are not green?

Gemma 2B:

      There are 10 - 4 = <<10-4=6>>6 frogs that are not green.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: On a farm, there are 10 cows in total. If 9 of these are brown, how many cows are black?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let B represent the set of brown cows and B' represent the set of black cows.

    We know that 9 cows are brown, so |B| = 9.

    We also know that the total number of cows is 10, so |B ∪ B'| = 10.

    Using the Inclusion-Exclusion Principle, we can write:

    |B ∪ B'| = |B| + |B'| - |B ∩ B'|

    Substituting the values we know, we get:

    10 = 9 + |B'| - |B ∩ B'|

    Simplifying, we get:

    |B'| = 10 - 9 - |B ∩ B'|

    Since |B ∩ B'| ≤ min(|B|, |B'|), we know that |B ∩ B'| ≤ 1.

    Therefore, |B'| = 10 - 9 - 1 = 1.

    So, there is only 1 black cow.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Sally has a collection of 10 teddy bears. If 7 of them are brown, how many are not brown?

Gemma 2B:

      If 7 of Sally's teddy bears are brown, then the remaining 10 - 7 = 3 are not brown.

    Therefore, there are 3 teddy bears that are not brown.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: John has a total of 10 toothbrushes. If he has 7 red ones, how many blue toothbrushes does he have?

Gemma 2B:

      Let's use a Venn diagram to solve this problem.

    Let R represent the set of red toothbrushes and B represent the set of blue toothbrushes.

    We know that John has 7 red toothbrushes, so the size of the set R is 7.

    We also know that the total number of toothbrushes John has is 10, so the size of the set R ∪ B (the union of the sets R and B) is 10.

    Using the Inclusion-Exclusion Principle, we can find the size of the set B by subtracting the size of the set R from the size of the set R ∪ B:

    |B| = |R ∪ B| - |R|
    |B| = 10 - 7
    |B| = 3

    Therefore, John has 3 blue toothbrushes.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Tina has a collection of 10 stuffed animals. She gives 3 of them to her little sister. How many stuffed animals does she have left?

Gemma 2B:

      Tina has 10 - 3 = <<10-3=7>>7 stuffed animals left.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: There are 10 cloud types. You have already learned about 2 of them. How many more cloud types do you still need to learn about?

Gemma 2B:

      If there are 10 cloud types in total and you have already learned about 2 of them, then you still need to learn about 8 more cloud types.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a forest, there are 10 trees in total. 8 of these trees are pine trees. How many trees are not pine trees?

Gemma 2B:

      There are 10 trees in total and 8 of them are pine trees. To find out how many trees are not pine trees, we can subtract the number of pine trees from the total number of trees.

    10 - 8 = 2

    So, there are 2 trees that are not pine trees.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a homogeneous pillow shop, there are 10 blue and green pillows altogether. If there are 6 green pillows, how many blue pillows are there?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let B represent the set of blue pillows and G represent the set of green pillows.

    We know that the union of B and G is the set of all pillows, which has 10 elements.

    We also know that the intersection of B and G is empty, since the pillows are homogeneous.

    Using the formula for the union of two sets, we can write:

    |B ∪ G| = |B| + |G|

    Substituting the given values, we get:

    10 = |B| + 6

    Subtracting 6 from both sides gives us:

    4 = |B|

    Therefore, there are 4 blue pillows in the shop.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: On a nearby planet, an alien discovered 10 new species of plants. If he found 7 of them during his morning walk, how many did he find during his evening walk?

Gemma 2B:

      Let's use "P" to represent the number of plants the alien found during his morning walk.

    We know that the alien found 10 new species of plants in total, so the total number of plants he found is 10.

    We also know that he found 7 plants during his morning walk, so we can write an equation:

    P + 7 = 10

    To solve for P, we can subtract 7 from both sides of the equation:

    P = 10 - 7

    P = 3

    So, the alien found 3 plants during his evening walk.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: You are planning a party where 10 people, including you, will attend. If you have already invited 1 friend, how many more friends do you need to invite to meet your guest list of 10 people?

Gemma 2B:

      You have already invited 1 friend, so you need to invite 9 more friends to meet your guest list of 10 people.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: In a music store, there are 10 drums in total. If 7 of them are acoustic drums, how many of them are electronic drums?

Gemma 2B:

      If 7 of the 10 drums in the music store are acoustic drums, then the remaining 3 drums must be electronic drums.

    So, there are 3 electronic drums in the music store.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Jenny has a collection of 10 stuffed animals. If 4 of them are bears, how many of them are not bears?

Gemma 2B:

      If 4 of Jenny's stuffed animals are bears, then the number of stuffed animals that are not bears is 10 - 4 = 6.

    Therefore, there are 6 stuffed animals that are not bears in Jenny's collection.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Greg has a collection of 10 road cycles. If 8 of them are black, how many are white?

Gemma 2B:

      If 8 of Greg's road cycles are black, then the remaining 2 must be white.

    Therefore, the answer is 2.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: There are 10 firefighters in a crew. If 6 of them are already inside the burning building, how many are still outside?

Gemma 2B:

      There are 10 firefighters in the crew.
    6 of them are already inside the burning building.
    This means that 10 - 6 = <<10-6=4>>4 firefighters are still outside.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: In a laboratory, 10 mice are being kept for an experiment. 9 of them are white mice. How many of them are black mice?

Gemma 2B:

      There are 10 mice in total, and 9 of them are white mice. Therefore, there are 10 - 9 = 1 black mouse.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: A rainbow has 10 colors. If 2 of those colors are shades of blue, how many colors are not shades of blue?

Gemma 2B:

      If a rainbow has 10 colors and 2 of those colors are shades of blue, then there are 10 - 2 = 8 colors that are not shades of blue.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: Susie has 10 cartons of milk. If one of the cartons is almond milk, how many cartons of cow's milk does she have?

Gemma 2B:

      Susie has 10 cartons of milk, and one of them is almond milk. This means that she has 9 cartons of cow's milk.

    Therefore, the answer is 9.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: John can play 10 different piano songs. He recently learned 9 new songs. How many songs could he play before learning the new ones?

Gemma 2B:

      John could play 10 - 9 = 1 song before learning the new ones.

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Julie owns 10 skirts in total. Among them, 9 are full-length skirts. How many mini-skirts does she own?

Gemma 2B:

      Julie owns 10 skirts in total.
    9 of them are full-length skirts, so the remaining 10 - 9 = <<10-9=1>>1 skirt is a mini-skirt.
    ### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: On Valentine's Day, John received 10 chocolates in total. He already had 4 chocolates before. How many chocolates was he given on Valentine's Day?

Gemma 2B:

      Let's use a system of linear equations to solve this problem.

    Let x be the number of chocolates John was given on Valentine's Day.

    We know that the total number of chocolates John received is 10.

    So, we can write the first equation:

    x + 4 = 10

    We know that John already had 4 chocolates before Valentine's Day.

    So, we can write the second equation:

    x + 4 = 4

    Now, we can solve the system of equations by subtracting the second equation from the first equation:

    x + 4 - 4 = 10 - 4

    This simplifies to:

    x = 6

    So, John was given 6 chocolates on Valentine's Day.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: Princess Liana was putting together a dinner party and needed exactly 10 apples for a dessert she was making. She had already collected 8 from the orchard. How many more did she need to meet her requirement?

Gemma 2B:

      Princess Liana needed 10 - 8 = <<10-8=2>>2 more apples to meet her requirement.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A farmer has 10 acres of farmland. He uses 2 acres for growing vegetables. How many acres does he use for growing wheat?

Gemma 2B:

      The farmer uses 2 acres for growing vegetables, so he has 10 - 2 = <<10-2=8>>8 acres left for growing wheat.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: In a building, there are 10 windows on a floor. If 3 of them are designed to be antique, how many of them are modern windows?

Gemma 2B:

      If 3 of the 10 windows on a floor are designed to be antique, then 7 of them are modern windows.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: In the mall, there are 10 pairs of ice skates in total. 1 pair is in Size 11. How many pairs of ice skates are not in Size 11?

Gemma 2B:

      There are 10 pairs of ice skates in total.
    1 pair is in Size 11.
    Therefore, there are 10 - 1 = <<10-1=9>>9 pairs of ice skates that are not in Size 11.
    ### Answer: 9

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: At the circus, there are 10 clowns performing. If 2 of them are mime clowns, how many of them are regular clowns?

Gemma 2B:

      If there are 10 clowns performing at the circus and 2 of them are mime clowns, then there are 10 - 2 = <<10-2=8>>8 regular clowns.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: A SpaceX rocket is made up of different parts. If the propellant tank and the engines make up 3 parts and in total there are 10 parts, how many additional parts are there in the rocket?

Gemma 2B:

      If the propellant tank and the engines make up 3 parts and there are 10 parts in total, then there are 10 - 3 = 7 additional parts in the rocket.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: Jessica was learning to play a new song on her guitar. The song has 10 chords altogether and she has already learned 4 chords. How many more chords does she need to learn to play the whole song?

Gemma 2B:

      To play the whole song, Jessica needs to learn 10 - 4 = <<10-4=6>>6 more chords.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: On his pirate ship, Captain Hook has 10 cannons in total. If 5 of them are on one side of the ship, how many are there on the other side?

Gemma 2B:

      If Captain Hook has 10 cannons in total and 5 of them are on one side of the ship, then there are 10 - 5 = 5 cannons on the other side of the ship.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Adele's kite flies for exactly 10 minutes. The kite spent 6 minutes at its highest point. How long does the kite fly before it reached its highest point?

Gemma 2B:

      Let's call the time the kite spends flying before reaching its highest point "x" minutes.

    We know that the kite flies for a total of 10 minutes, so the equation for the total time the kite flies is:

    x + 6 = 10

    Simplifying the equation:

    x = 4

    So, the kite flies for 4 minutes before reaching its highest point.

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: On the jungle gym, there are 10 kids playing. 6 of them are playing on the swings. How many kids are playing on the slides?

Gemma 2B:

      There are 10 kids playing on the jungle gym, and 6 of them are playing on the swings. This means that 4 kids are playing on the slides.

    ### Answer: 4

Expected answer: 4

Correct? Yes

🔗 Problem

Problem: The total hours of daylight in a day is 10 hours. If the Sun was up for 8 hours, for how many hours was the sun hidden behind the clouds?

Gemma 2B:

      To find the number of hours the Sun was hidden behind the clouds, we need to subtract the number of hours the Sun was up from the total number of hours of daylight.

    Total hours of daylight = 10 hours
    Hours the Sun was up = 8 hours

    Therefore, the number of hours the Sun was hidden behind the clouds is:
    10 - 8 = 2 hours.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Sophie has 10 scoops of ice cream in her bowl. If 3 of them are vanilla, how many scoops of chocolate ice cream does she have?

Gemma 2B:

      If Sophie has 10 scoops of ice cream in her bowl and 3 of them are vanilla, then she has 10 - 3 = <<10-3=7>>7 scoops of chocolate ice cream.

Expected answer: 7

Correct? Yes

🔗 Problem

Problem: A giraffe eats 10 pounds of food in a day. He has already consumed 8 pounds of food. How much more food does he need to eat to reach his daily consumption goal?

Gemma 2B:

      To find out how much more food the giraffe needs to eat to reach his daily consumption goal, we need to subtract the amount of food he has already consumed from his daily consumption goal.

    Let's use a equation to represent this:

    10 - 8 = 2

    So, the giraffe needs to eat 2 more pounds of food to reach his daily consumption goal.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: In a fairy kingdom, there are 10 pixies. 3 of them have blue wings. How many pixies have green wings?

Gemma 2B:

      There is not enough information to determine how many pixies have green wings. The question only states that 3 pixies have blue wings, and it does not provide any information about the number of pixies with green wings. Therefore, the answer is 0.

Expected answer: 7

Correct? No

🔗 Problem

Problem: David is studying the stars and needs to set up his telescope at a certain height for optimal viewing. If his current setup is at 2 feet and he needs the entire setup to be 10 feet high, how many more feet does he need to add to achieve the optimal height?

Gemma 2B:

      To find the number of feet that David needs to add to achieve the optimal height, we need to subtract the current height of the setup (2 feet) from the desired height (10 feet).

    10 feet - 2 feet = 8 feet

    Therefore, David needs to add 8 feet to the current height of the setup to achieve the optimal height.

Expected answer: 8

Correct? Yes

🔗 Problem

Problem: John has 10 tail ribbons for his kite. If 7 of the tail ribbons are blue, the rest are red. How many red tail ribbons does he have?

Gemma 2B:

      Let's use a Venn diagram to represent the information given in the problem.

    Let B represent the set of blue tail ribbons and R represent the set of red tail ribbons.

    We know that 7 of the tail ribbons are blue, so the size of the set B is 7.

    We also know that the rest of the tail ribbons are red, so the size of the set R is 10 - 7 = 3.

    Therefore, John has 3 red tail ribbons.

Expected answer: 3

Correct? Yes

🔗 Problem

Problem: Sara is composing a new piano piece. The piece is 10 bars long. She’s already composed 5 bars. How many more bars does she still need to compose?

Gemma 2B:

      Sara needs to compose 10 - 5 = <<10-5=5>>5 more bars to complete her piano piece.

Expected answer: 5

Correct? Yes

🔗 Problem

Problem: Rachel has 10 candles in total. If 8 of them are scented, how many of the candles are unscented?

Gemma 2B:

      Let's use a Venn diagram to represent the situation.

    Let A represent the set of all candles.
    Let B represent the set of scented candles.
    Let C represent the set of unscented candles.

    We know that A = B ∪ C, where B ∩ C = ∅ (i.e., the sets of scented and unscented candles are mutually exclusive).

    We also know that |B| = 8, so the number of scented candles is 8.

    To find the number of unscented candles, we can use the equation |A| = |B| + |C|.

    Substituting the values we know, we get:

    10 = 8 + |C|

    Solving for |C|, we get:

    |C| = 10 - 8
    |C| = 2

    So, there are 2 unscented candles.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A mini bus has 10 seats in total. There is only 1 seat in the front. How many seats are there in the back of the bus?

Gemma 2B:

      There are 9 seats in the back of the bus.

Expected answer: 9

Correct? Yes

🔗 Problem

Problem: You have a total of 10 oranges. You already peeled 8 oranges. How many more oranges do you need to peel?

Gemma 2B:

      You have 10 oranges and you have already peeled 8 oranges, so you have 10 - 8 = 2 oranges left to peel.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: On the farm, there are 10 chickens in total. If 8 of them belong to the Rhode Island Red breed, how many of them are from different breeds?

Gemma 2B:

      There are 10 - 8 = 2 chickens that are not from the Rhode Island Red breed.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: Sally has a total of 10 grapes. She first ate 4 of them. How many grapes does she have left to eat?

Gemma 2B:

      Sally has 10 - 4 = <<10-4=6>>6 grapes left to eat.

Expected answer: 6

Correct? Yes

🔗 Problem

Problem: John has a total of 10 guitar picks. He keeps 8 of them in his pocket. How many guitar picks does he have in his desk drawer?

Gemma 2B:

      John has 10 guitar picks in total.
    He keeps 8 of them in his pocket, so he has 10 - 8 = <<10-8=2>>2 guitar picks left.
    He has 2 guitar picks in his desk drawer.
    ### Answer: 2

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: There were 10 clouds in the sky on a sun-drenched day. 3 of those clouds were dark and stormy. How many clouds were fluffy and white?

Gemma 2B:

      There were 10 clouds in the sky, and 3 of them were dark and stormy. That means there were 10 - 3 = 7 clouds that were fluffy and white.

Expected answer: 7

Correct? Yes