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4th Grade Math AI Tutor
Mastering 34 Basic Math

Explain your answer

1. Johnny used the rule "double the number" to create the pattern below.

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.C.5 Generate a number pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself and explain the pattern informally (e.g., given the rule “add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers).

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Explain your answer

2. Jay arranged 48 books into 4 equal piles to help him find the quotient of 48 ÷ 4. How can jay use this method to find the quotient of 189 ÷ 9 ?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.A.2 Multiply or divide within 1000 to solve word problems involving multiplicative comparison (e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison).

Explain your answer

3. Martha is going to make bracelets to sell for a fundraiser. She bought 8 meters of yarn. She wants to cut it into pieces that are 16 centimeters long for each bracelet. How many bracelets can Martha make?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.A.1: Know relative sizes of measurement units within one system of units which could include km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit and in a smaller unit in terms of a larger unit. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1,12), (2,24), (3,36).

Explain your answer

4. The table below shows the number of baseball cards Tika collected during four months. What is the best estimate for the number of baseball cards Tika collected in all?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.C.6: When solving problems, assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Explain your answer

5. Which number has the same value as 0.14?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.C.6: Use decimal notation for fractions with denominators 10 (tenths) or 100 (hundredths), and locate these decimals on a number line.

4.NF.C.7: Compare two decimals to hundredths by reasoning about their size. Understand that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <.

Explain your answer

6. Look at the calendar below. What best describes the dates that are on Saturdays?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.B.4: Find all factor pairs for a whole number in the range 1 to 100 and understand that a whole number is a multiple of each of its factors.

7. Stacey used cutouts of two triangles to make the figures below. Which statement is true about the figures?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Geometry (G) 4.G.A.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

8. Randy creates a pattern using the rule "divide by 3". Which pattern uses Randy's rule?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.C.5 Generate a number pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself and explain the pattern informally (e.g., given the rule “add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers).

9. Mary used some of the eggs from the carton below to make breakfast. What portion of the eggs did Mary use to make breakfast?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.B.3.d: Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

10. Look at the map below. Which vertex-edge graph represents this map?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.C.5.a: An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.

11. Juan wants to solve the problem 27 - 21 ÷ 3 . Which step should Juan do first?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations in Base Ten (NBT) 4.NBT.B.4: Fluently multiply and divide, add and subtract multi-digit whole numbers using a standard algorithm.

12. John has 10 pairs of white socks and 1 pair of blue socks in his drawer. There are no other socks in the drawer. Without looking, he takes 1 pair out of the drawer. What are his chances of choosing a white pair of socks?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Mathematical Practice 3.MP.4 Model with mathematics. Mathematically proficient students apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. When given a problem in a contextual situation, they identify the mathematical elements of a situation and create a mathematical model that represents those mathematical elements and the relationships among them. Mathematically proficient students use their model to analyze the relationships and draw conclusions. They interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

13. Nicki's class needs to raise $89.45 in order to have a pizza party. So far, she has collected $62.90. How much more money does Nicki's class need to buy the pizza party?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.A.3: Solve multistep word problems using the four operations, including problems in which remainders must be interpreted. Understand how the remainder is a fraction of the divisor. Represent these problems using equations with a letter standing for the unknown quantity.

14. Look at the number pattern. 972, 324, 108, 36, ... If the pattern continues, what will be the 6th number in the pattern?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.C.5 Generate a number pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself and explain the pattern informally (e.g., given the rule “add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers).

15. Mike left school at 3:40 pm. He arrived at home at the time shown on the clock below. How long did it take Mike to get home from school?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.A.2: Use the four operations to solve word problems and problems in real-world context involving distances, intervals of time (hr, min, sec), liquid volumes, masses of objects, and money, including decimals and problems involving fractions with like denominators, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using a variety of representations, including number lines that feature a measurement scale.

16. What is the solution to the equation ( 3/5 ) - (2/5) = ?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.B.3.a: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

17. On Monday, Joel had 17 treats to give his puppy. He gives his puppy 2 or 3 treats each day. The table below shows the number of treats Joel has left at the end of each day. Based on the information in the table, which prediction will most likely to happen if Joel continues to give his puppy 2 or 3 treats each day?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.A.2: Use the four operations to solve word problems and problems in real-world context involving distances, intervals of time (hr, min, sec), liquid volumes, masses of objects, and money, including decimals and problems involving fractions with like denominators, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using a variety of representations, including number lines that feature a measurement scale.

18. Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim can spend on lunch each day?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.A.1: Represent verbal statements of multiplicative comparisons as multiplication equations. Interpret a multiplication equation as a comparison (e.g., 35 is the number of objects in 5 groups, each containing 7 objects, and is also the number of objects in 7 groups, each containing 5 objects).

19. Look at the diagram of Laura's yard. Which expression can Laura use to find the perimeter of her yard? (Click to see the diagram)

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.A.3: Apply the area and perimeter formulas for rectangles in mathematical problems and problems in real-world contexts including problems with unknown side lengths.

20. Look at the coordinate plane. Which point is located at (3,5)? Click to see the coordinate plane.

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Geometry (G) 4.G.A.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two dimensional figures.

21. Anna asked her class which subject they liked best. She graphed the results. Click to see the graph. Based on the graph, which statement is true?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Measurement and Data (MD) 4.MD.A.2: Use the four operations to solve word problems and problems in real-world context involving distances, intervals of time (hr, min, sec), liquid volumes, masses of objects, and money, including decimals and problems involving fractions with like denominators, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using a variety of representations, including number lines that feature a measurement scale.

22. The rule for finding the cost of any number of tickets (t) is multiply t by $4. How many tickets will $20 buy?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.A.1: Represent verbal statements of multiplicative comparisons as multiplication equations. Interpret a multiplication equation as a comparison (e.g., 35 is the number of objects in 5 groups, each containing 7 objects, and is also the number of objects in 7 groups, each containing 5 objects).

23. Which list shows all factors of 72?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.B.4: Find all factor pairs for a whole number in the range 1 to 100 and understand that a whole number is a multiple of each of its factors.

24. Look at the figure. Which fraction represents the shaded part of the figure? Click to see the figure.

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.B.3.b: Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8+1/8; 3/8 = 2/8 + 1/8; 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).

25. Lizeth is having a birthday party. She invited 19 people. She will buy enough juice boxes so each person can have at least 1. If the juice boxes come in packs of 6, how many packs should Lizeth buy?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Operations and Algebraic Thinking (OA) 4.OA.A.1: Represent verbal statements of multiplicative comparisons as multiplication equations. Interpret a multiplication equation as a comparison (e.g., 35 is the number of objects in 5 groups, each containing 7 objects, and is also the number of objects in 7 groups, each containing 5 objects).

26. Which expression will not solve 59 x 20 ?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations in Base Ten (NBT) 4.NBT.B.4: Fluently multiply and divide, add and subtract multi-digit whole numbers using a standard algorithm.

27. Marcus bought a pet frog. He went to a pet store to buy some supplies for the frog's home. He found a list of frog rules in the pet store. Small sized frogs need to live in a 10 gallon tank. All frogs need warm light or sunshine. All frogs need water to keep their skin moist. Frogs eat 5 bugs and worms per day. What information should the pet store owner ask Marcus before he sells him the supplies?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Mathematical Practice 3.MP.3 Construct viable arguments and critique the reasoning of others. Mathematically proficient students construct mathematical arguments (explain the reasoning underlying a strategy, solution, or conjecture) using concrete, pictorial, or symbolic referents. Arguments may also rely on definitions, assumptions, previously established results, properties, or structures. Mathematically proficient students make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. Mathematically proficient students present their arguments in the form of representations, actions on those representations, and explanations in words (oral or written). Students critique others by affirming or questioning the reasoning of others. They can listen to or read the reasoning of others, decide whether it makes sense, ask questions to clarify or improve the reasoning, and validate or build on it. Mathematically proficient students can communicate their arguments, compare them to others, and reconsider their own arguments in response to the critiques of others.

28. Which pair of figures appears to be congruent?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Geometry (G) 4.G.A.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

29. Dylan had a whole cupcake in his lunch bag. He ate only 1/4 of his cupcake. How much of the cupcake does he have left?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.B.4.c: Solve word problems involving multiplication of a whole number by a fraction. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?

30. What are the coordinates of the endpoints of the line segment? Click to see the coordinate plane.

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Geometry (G) 4.G.A.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two dimensional figures.

31. Which list is in order from greatest to least?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations – Fractions (NF) 4.NF.C.7: Compare two decimals to hundredths by reasoning about their size. Understand that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <.

32. Sandy solved the problem below in her math class. What is another way that Sandy could solve the problem? Click to see Sandy's solution

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations in Base Ten (NBT) 4.NBT.B.4: Fluently multiply and divide, add and subtract multi-digit whole numbers using a standard algorithm.

33. Look at the data set. 51, 35, 28, 49, 28, 46, 29. What is the median of the data set?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Mathematics Practice 3.MP.6 Attend to precision. Mathematically proficient students clearly communicate to others using appropriate mathematical terminology, and craft explanations that convey their reasoning. When making mathematical arguments about a solution, strategy, or conjecture, they describe mathematical relationships and connect their words clearly to their representations. Mathematically proficient students understand meanings of symbols used in mathematics, calculate accurately and efficiently, label quantities appropriately, and record their work clearly and concisely.

34. What is the solution to the equation 3 x 10 + (9 x 2) = ?

Explain your answer

SOURCE: Arizona Department of Education, Arizona Mathematics Standards 4th Grade, Sample Math Assessment Test Question
Arizona Mathematics Standards 4th Grade & Introduction to AZ Math Standard
Math Lesson Curriculum Aligned to AZ Standard for Number and Operations in Base Ten (NBT) 4.NBT.B.4: Fluently multiply and divide, add and subtract multi-digit whole numbers using a standard algorithm.

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The IN-V-BAT-AI solution can be a valuable tool in classrooms, enhancing both teaching and learning experience. Here are some ways it can be utilized:

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